2024
Mathematics is beautiful by Heinz Klaus Strick, pp. 366, £24.99 (paper), ISBN 978-3-662-62688-7, £19.99 (eBook) ISBN 978-3-662-62689-4, Springer Verlag (2021) (Journal article)
Giblin, P. (2024). Mathematics is beautiful by Heinz Klaus Strick, pp. 366, £24.99 (paper), ISBN 978-3-662-62688-7, £19.99 (eBook) ISBN 978-3-662-62689-4, Springer Verlag (2021). The Mathematical Gazette, 108(571), 188-189. doi:10.1017/mag.2024.52DOI: 10.1017/mag.2024.52
2023
Giblin, P., & Pukhlikov, A. (n.d.). Planar Sections of a Surface Close to an Umbilic. Arnold Mathematical Journal. doi:10.1007/s40598-022-00222-1DOI: 10.1007/s40598-022-00222-1
107.40 Four points, six distances (Journal article)
Giblin, P. (2023). 107.40 Four points, six distances. The Mathematical Gazette, 107(570), 517-523. doi:10.1017/mag.2023.112DOI: 10.1017/mag.2023.112
3000 years of analysis by Thomas Sonar , pp. xx+706, £109.99 (hard), ISBN 978-3-030- 58221-0, also available as an e-book, Birkhäuser (Springer Nature Switzerland AG) 2021 (Journal article)
Giblin, P. (2023). 3000 years of analysis by Thomas Sonar , pp. xx+706, £109.99 (hard), ISBN 978-3-030- 58221-0, also available as an e-book, Birkhäuser (Springer Nature Switzerland AG) 2021. The Mathematical Gazette, 107(570), 567-569. doi:10.1017/mag.2023.135DOI: 10.1017/mag.2023.135
Giblin, P., & Reeve, G. (2023). Bitangent planes of surfaces and applications to thermodynamics. JOURNAL OF GEOMETRY AND PHYSICS, 192. doi:10.1016/j.geomphys.2023.104920DOI: 10.1016/j.geomphys.2023.104920
Fabbri, R., Duff, T., Fan, H., Regan, M., de Pinho, D. D. C., Tsigaridas, E., . . . Pajdla, T. (2023). Trifocal Relative Pose From Lines at Points. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 45(6), 7870-7884. doi:10.1109/TPAMI.2022.3226165DOI: 10.1109/TPAMI.2022.3226165
2022
How to prove it (third edition) by Daniel J. Velleman, pp 458, £29.99 (paper), ISBN 978-1-10843-953-4, Cambridge University Press (2019). (Also available as hardback, and as an e-book ISBN 978-1-10833-745-8.) (Journal article)
Giblin, P. (2022). How to prove it (third edition) by Daniel J. Velleman, pp 458, £29.99 (paper), ISBN 978-1-10843-953-4, Cambridge University Press (2019). (Also available as hardback, and as an e-book ISBN 978-1-10833-745-8.). The Mathematical Gazette, 106(567), 567-568. doi:10.1017/mag.2022.153DOI: 10.1017/mag.2022.153
Linear algebra for everyone by Gilbert Strang, pp 368, £49.99 (hard), ISBN 978-1-73314-663-0, Cambridge University Press (2020) (Journal article)
Giblin, P. (2022). Linear algebra for everyone by Gilbert Strang, pp 368, £49.99 (hard), ISBN 978-1-73314-663-0, Cambridge University Press (2020). The Mathematical Gazette, 106(567), 574-575. doi:10.1017/mag.2022.159DOI: 10.1017/mag.2022.159
Giblin, P., Reeve, G., & Uribe-Vargas, R. (2022). Contact With Circles and Euclidean Invariants of Smooth Surfaces in Double-struck capital R<SUP>3</SUP>. QUARTERLY JOURNAL OF MATHEMATICS, 73(3), 937-967. doi:10.1093/qmath/haab058DOI: 10.1093/qmath/haab058
Giblin, P., & Reeve, G. (2022). CONTACT OF CIRCLES WITH SURFACES: ANSWERS TO A QUESTION OF MONTALDI. ASIAN JOURNAL OF MATHEMATICS, 26(5), 613-616. Retrieved from https://www.webofscience.com/
2021
The shape of a life by Shing-Tung Yau and Steve Nadis, pp. 293, $20 (hard), ISBN 978-0-399-23590-6, Yale University Press (2019) (Journal article)
Giblin, P. (2021). The shape of a life by Shing-Tung Yau and Steve Nadis, pp. 293, $20 (hard), ISBN 978-0-399-23590-6, Yale University Press (2019). The Mathematical Gazette, 105(564), 564-566. doi:10.1017/mag.2021.141DOI: 10.1017/mag.2021.141
Camera Pose Estimation Using First-Order Curve Differential Geometry. (Journal article)
Fabbri, R., Giblin, P., & Kimia, B. (2021). Camera Pose Estimation Using First-Order Curve Differential Geometry.. IEEE transactions on pattern analysis and machine intelligence, 43(10), 3321-3332. doi:10.1109/tpami.2020.2985310DOI: 10.1109/tpami.2020.2985310
2020
Giblin, P., & Reeve, G. (2020). Equidistants for families of surfaces. Journal of Singularities, 21, 97-118. doi:10.5427/jsing.2020.21fDOI: 10.5427/jsing.2020.21f
Giblin, P. J., Janeczko, S., & Ruas, M. A. S. (2020). REFLEXION MAPS AND GEOMETRY OF SURFACES IN R<SUP>4</SUP>. In JOURNAL OF SINGULARITIES Vol. 21 (pp. 84-96). doi:10.5427/jsing.2020.21eDOI: 10.5427/jsing.2020.21e
Symmetrization of convex plane curves (Journal article)
Giblin, P., & Janeczko, S. (2020). Symmetrization of convex plane curves. Pure and Applied Mathematics Quarterly, 16(5), 1767-1787. doi:10.4310/pamq.2020.v16.n5.a15DOI: 10.4310/pamq.2020.v16.n5.a15
Symmetrization of convex plane curves (Journal article)
Giblin, P., & Janeczko, S. (2020). Symmetrization of convex plane curves. Pure and Applied Mathematics Quarterly, 16(5), 1767-1787. doi:10.4310/pamq.2020.v16.n5.a16DOI: 10.4310/pamq.2020.v16.n5.a16
Fabbri, R., Duff, T., Fan, H., Regan, M. H., da Costa de Pinho, D., Tsigaridas, E., . . . Pajdla, T. (2020). TRPLP – Trifocal Relative Pose From Lines at Points. In 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE. doi:10.1109/cvpr42600.2020.01209DOI: 10.1109/cvpr42600.2020.01209
2019
Never a dull moment: Hassler Whitney, mathematics pioneer by Keith Kendig, pp. 385, £58.50 (paper), ISBN 978-1-4704-4828-8, MAA Press, American Mathematical Society (2018). (Journal article)
Giblin, P. (2019). Never a dull moment: Hassler Whitney, mathematics pioneer by Keith Kendig, pp. 385, £58.50 (paper), ISBN 978-1-4704-4828-8, MAA Press, American Mathematical Society (2018).. The Mathematical Gazette, 103(558), 571. doi:10.1017/mag.2019.132DOI: 10.1017/mag.2019.132
103.12 A note on Problem 101.F (Journal article)
Giblin, P. (2019). 103.12 A note on Problem 101.F. The Mathematical Gazette, 103(556), 154-155. doi:10.1017/mag.2019.27DOI: 10.1017/mag.2019.27
Wonders beyond numbers: a brief history of all things mathematical by Johnny Ball, pp. 480, £16.99 (hard), ISBN 978-1-4729-3999-9, Bloomsbury Sigma (2017). (Journal article)
Giblin, P. (2019). Wonders beyond numbers: a brief history of all things mathematical by Johnny Ball, pp. 480, £16.99 (hard), ISBN 978-1-4729-3999-9, Bloomsbury Sigma (2017).. The Mathematical Gazette, 103(556), 184-185. doi:10.1017/mag.2019.36DOI: 10.1017/mag.2019.36
2018
The power of computational thinking by Paul Curzon and Peter W. McOwan, pp. 220, £20 (paper), ISBN 978-1-786-34184-6, World Scientific (2017). (Journal article)
Giblin, P. (2018). The power of computational thinking by Paul Curzon and Peter W. McOwan, pp. 220, £20 (paper), ISBN 978-1-786-34184-6, World Scientific (2017).. The Mathematical Gazette, 102(554), 382-383. doi:10.1017/mag.2018.100DOI: 10.1017/mag.2018.100
The story of calculus by David Acheson, pp. 192, £11.99 (hard), ISBN 978-0-19-880454-3, Oxford University Press (2017). (Journal article)
Giblin, P. (2018). The story of calculus by David Acheson, pp. 192, £11.99 (hard), ISBN 978-0-19-880454-3, Oxford University Press (2017).. The Mathematical Gazette, 102(554), 364. doi:10.1017/mag.2018.83DOI: 10.1017/mag.2018.83
Equidistants and their duals for families of plane curves (Conference Paper)
Giblin, P., & Reeve, G. (2018). Equidistants and their duals for families of plane curves. In SINGULARITIES IN GENERIC GEOMETRY Vol. 78 (pp. 251-272). Retrieved from https://www.webofscience.com/
2017
Latin squares and their applications (2nd edn.), by Donald Keedwell and Jósef Dénes, pp. 424, £45.89 (hard), ISBN 978-0-444-63555-6, North-Holland (2015). (Journal article)
Giblin, P. (2017). Latin squares and their applications (2nd edn.), by Donald Keedwell and Jósef Dénes, pp. 424, £45.89 (hard), ISBN 978-0-444-63555-6, North-Holland (2015).. The Mathematical Gazette, 101(552), 571-573. doi:10.1017/mag.2017.168DOI: 10.1017/mag.2017.168
Quite right: the story of mathematics, measurement and money by Norman Biggs, pp. 176, £16.85 (hard), ISBN978-0-19-875335-3, Oxford University Press (2016). (Journal article)
Giblin, P. (2017). Quite right: the story of mathematics, measurement and money by Norman Biggs, pp. 176, £16.85 (hard), ISBN978-0-19-875335-3, Oxford University Press (2016).. The Mathematical Gazette, 101(552), 557-558. doi:10.1017/mag.2017.157DOI: 10.1017/mag.2017.157
The population explosion and other puzzles by Dick Hess, pp. 152, £23 (paper), ISBN 978-9-814723-375-5, also available as e-book, World Scientific Press (2016). (Journal article)
Giblin, P. (2017). The population explosion and other puzzles by Dick Hess, pp. 152, £23 (paper), ISBN 978-9-814723-375-5, also available as e-book, World Scientific Press (2016).. The Mathematical Gazette, 101(551), 380-381. doi:10.1017/mag.2017.114DOI: 10.1017/mag.2017.114
Giblin, P. J., & Janeczko, S. (2017). Bifurcation sets of families of reflections on surfaces in R<SUP>3</SUP>. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 147(2), 337-352. doi:10.1017/S0308210516000184DOI: 10.1017/S0308210516000184
2016
A numerate life by John Allen Paulos, pp. 206, £13.99 (paper), ISBN 978-1-63388-118-1, Prometheus Books (2015). (Journal article)
Giblin, P. (2016). A numerate life by John Allen Paulos, pp. 206, £13.99 (paper), ISBN 978-1-63388-118-1, Prometheus Books (2015).. The Mathematical Gazette, 100(549), 544-545. doi:10.1017/mag.2016.133DOI: 10.1017/mag.2016.133
Single digits (Journal article)
Giblin, P. J. (2016). Single digits. MATHEMATICAL GAZETTE, 100(549), 548-549. doi:10.1017/mag.2016.135DOI: 10.1017/mag.2016.135
Galois Theory (second edition) by David A. Cox, pp. 570, £51.50 (hard), ISBN 978-1-118-07205-9, Wiley (2012). (Journal article)
Giblin, P. (2016). Galois Theory (second edition) by David A. Cox, pp. 570, £51.50 (hard), ISBN 978-1-118-07205-9, Wiley (2012).. The Mathematical Gazette, 100(548), 374. doi:10.1017/mag.2016.90DOI: 10.1017/mag.2016.90
Applications of Singularity Theory and 3D Modelling in Arts and Retail (Chapter)
Giblin, P. (2016). Applications of Singularity Theory and 3D Modelling in Arts and Retail. In UK Success Stories in Industrial Mathematics (pp. 265-270). Springer International Publishing. doi:10.1007/978-3-319-25454-8_34DOI: 10.1007/978-3-319-25454-8_34
Local Features in Natural Images via Singularity Theory (Book)
Damon, J., Giblin, P., & Haslinger, G. (2016). Local Features in Natural Images via Singularity Theory. Springer International Publishing. doi:10.1007/978-3-319-41471-3DOI: 10.1007/978-3-319-41471-3
2015
CENTRE SYMMETRY SETS OF FAMILIES OF PLANE CURVES (Journal article)
Giblin, P., & Reeve, G. (2015). CENTRE SYMMETRY SETS OF FAMILIES OF PLANE CURVES. DEMONSTRATIO MATHEMATICA, 48(2), 167-192. doi:10.1515/dema-2015-0016DOI: 10.1515/dema-2015-0016
Centre symmetry sets of families of plane curves (Conference Paper)
Giblin, P. J., & Reeve, G. (2015). Centre symmetry sets of families of plane curves. In Demonstratio Mathematica Vol. 48 (pp. 167-192). doi:10.1515/dema-201-0016DOI: 10.1515/dema-201-0016
2014
Evolving Evolutoids (Journal article)
Giblin, P. J., & Warder, J. P. (2014). Evolving Evolutoids. AMERICAN MATHEMATICAL MONTHLY, 121(10), 871-889. doi:10.4169/amer.math.monthly.121.10.871DOI: 10.4169/amer.math.monthly.121.10.871
98.25 An ancient approximation to the sine function (Journal article)
Giblin, P. (2014). 98.25 An ancient approximation to the sine function. The Mathematical Gazette, 98(543), 488-490. doi:10.1017/s0025557200008226DOI: 10.1017/s0025557200008226
Reviews -
Divided spheres, Edward S. Popko, Pp. 509. £44.99. 2012, ISBN 978-1-4665-0429-5 (CRC Press (an A.K.Peters Book)). (Journal article)
Giblin, P. (2014). Reviews - Divided spheres, Edward S. Popko, Pp. 509. £44.99. 2012, ISBN 978-1-4665-0429-5 (CRC Press (an A.K.Peters Book)).. The Mathematical Gazette, 98(541), 178-179. doi:10.1017/s0025557200001108DOI: 10.1017/s0025557200001108
Reviews -
Unexpected expectations, Leonard M. Warner. Pp. 204. £24.69 (hardback). 2012. ISBN 978-1-56881-721-7 (CRC Press). (Journal article)
Giblin, P. (2014). Reviews - Unexpected expectations, Leonard M. Warner. Pp. 204. £24.69 (hardback). 2012. ISBN 978-1-56881-721-7 (CRC Press).. The Mathematical Gazette, 98(541), 182-183. doi:10.1017/s0025557200001145DOI: 10.1017/s0025557200001145
2013
Reviews -
Differential geometry: bundles, connections, metrics and curvature, by Clifford Henry Taubes. Pp. 298. £27.50. 2011. ISBN 978-0-19-960587-3 (Oxford Graduate Texts in Mathematics No. 23, Oxford University Press). (Journal article)
Giblin, P. (2013). Reviews - Differential geometry: bundles, connections, metrics and curvature, by Clifford Henry Taubes. Pp. 298. £27.50. 2011. ISBN 978-0-19-960587-3 (Oxford Graduate Texts in Mathematics No. 23, Oxford University Press).. The Mathematical Gazette, 97(539), 373. doi:10.1017/s0025557200006343DOI: 10.1017/s0025557200006343
Reviews -
Remembering Sofya Kovalevskya, by Michéle Audin. Pp. 284. £35.99. 2011 ISBN: 978-0-85729-928-4 (Springer-Verlag). (Journal article)
Giblin, P. (2013). Reviews - Remembering Sofya Kovalevskya, by Michéle Audin. Pp. 284. £35.99. 2011 ISBN: 978-0-85729-928-4 (Springer-Verlag).. The Mathematical Gazette, 97(539), 363-364. doi:10.1017/s0025557200006264DOI: 10.1017/s0025557200006264
2012
Reviews -
Gösta Mittag-Leffler: a man of conviction, by Arild Stubhaug. Translated by Tiina Nunnally. Pp. 733. £53.99. 2010, ISBN: 978-3-642-11671-1 (Springer). (Journal article)
Giblin, P. (2012). Reviews - Gösta Mittag-Leffler: a man of conviction, by Arild Stubhaug. Translated by Tiina Nunnally. Pp. 733. £53.99. 2010, ISBN: 978-3-642-11671-1 (Springer).. The Mathematical Gazette, 96(536), 368-370. doi:10.1017/s0025557200004861DOI: 10.1017/s0025557200004861
Reviews -
The mathematical works of Leon Battista Alberti, Kim Williams, Lionel March, Stephen R. Wassell (eds.). Pp. 223. £69. 2010. ISBN 978-3-0346-0473-4 (Birkhäuser). (Journal article)
Giblin, P. (2012). Reviews - The mathematical works of Leon Battista Alberti, Kim Williams, Lionel March, Stephen R. Wassell (eds.). Pp. 223. £69. 2010. ISBN 978-3-0346-0473-4 (Birkhäuser).. The Mathematical Gazette, 96(535), 187-188. doi:10.1017/s0025557200004368DOI: 10.1017/s0025557200004368
Generic equi-centro-affine differential geometry of plane curves (Journal article)
Giblin, P. J., & Sano, T. (2012). Generic equi-centro-affine differential geometry of plane curves. Topology and its Applications, 159(2), 476-483. doi:10.1016/j.topol.2011.09.022DOI: 10.1016/j.topol.2011.09.022
Geometry of curves and surfaces through the contact map (Journal article)
Giblin, P. J., & Janeczko, S. (2012). Geometry of curves and surfaces through the contact map. Topology and its Applications, 159(2), 466-475. doi:10.1016/j.topol.2011.09.021DOI: 10.1016/j.topol.2011.09.021
Preface (Journal article)
Giblin, P. J., Izumiya, S., Janeczko, S., & Romero-Fuster, M. C. (2012). Preface. Topology and its Applications, 159(2), 379-380. doi:10.1016/j.topol.2011.09.010DOI: 10.1016/j.topol.2011.09.010
Camera Pose Estimation Using First-Order Curve Differential Geometry (Chapter)
Fabbri, R., Kimia, B. B., & Giblin, P. J. (2012). Camera Pose Estimation Using First-Order Curve Differential Geometry. In Computer Vision – ECCV 2012 (pp. 231-244). Springer Berlin Heidelberg. doi:10.1007/978-3-642-33765-9_17DOI: 10.1007/978-3-642-33765-9_17
2011
Reviews -
Cinderella (Version 2): Interactive eeometry package, by Ulrich Kortenkamp, €49.00 for single user licence, 2007. Available for download at http://www.cinderella.de. (Journal article)
Giblin, P. (2011). Reviews - Cinderella (Version 2): Interactive eeometry package, by Ulrich Kortenkamp, €49.00 for single user licence, 2007. Available for download at http://www.cinderella.de.. The Mathematical Gazette, 95(534), 573-575. doi:10.1017/s0025557200003880DOI: 10.1017/s0025557200003880
Reviews -
Fundamentals of university mathematics, (3rd edn.), Colin McGregor, Jonathan Nimmo and the late Wilson Stothers. Pp.551. £40 (pbk). 2010. ISBN 978-0-85709-223-6 (print), 978-0-85709-224-3 (online) (Woodhead Publishing Paperback). (Journal article)
Giblin, P. (2011). Reviews - Fundamentals of university mathematics, (3rd edn.), Colin McGregor, Jonathan Nimmo and the late Wilson Stothers. Pp.551. £40 (pbk). 2010. ISBN 978-0-85709-223-6 (print), 978-0-85709-224-3 (online) (Woodhead Publishing Paperback).. The Mathematical Gazette, 95(534), 570. doi:10.1017/s0025557200003855DOI: 10.1017/s0025557200003855
Reviews -
Duel at dawn: heroes, martyrs and the rise of modern mathematics, by Amir Alexander. Pp. 307. £21.95 2010. ISBN 978-0-674-04661-0 (Harvard University Press). (Journal article)
Giblin, P. (2011). Reviews - Duel at dawn: heroes, martyrs and the rise of modern mathematics, by Amir Alexander. Pp. 307. £21.95 2010. ISBN 978-0-674-04661-0 (Harvard University Press).. The Mathematical Gazette, 95(532), 146-147. doi:10.1017/s002555720000262xDOI: 10.1017/s002555720000262x
Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: II (Journal article)
Damon, J., Giblin, P., & Haslinger, G. (2011). Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: II. SIAM Journal on Imaging Sciences, 4(1), 386-412. doi:10.1137/090771053DOI: 10.1137/090771053
Reconstruction from Medial Representations (Journal article)
P. J. Giblin., & J. P. Warder. (2011). Reconstruction from Medial Representations. The American Mathematical Monthly, 118(8), 712. doi:10.4169/amer.math.monthly.118.08.712DOI: 10.4169/amer.math.monthly.118.08.712
2010
Recountings: Conversations with MIT mathematicians, ed. Joel Segel, pp. 441. $49-00 (hbk). 2009. ISBN: 978-1-56881-449-0 (A. K. Peters). (Journal article)
Giblin, P. J. (2010). Recountings: Conversations with MIT mathematicians, ed. Joel Segel, pp. 441. $49-00 (hbk). 2009. ISBN: 978-1-56881-449-0 (A. K. Peters).. The Mathematical Gazette, 94(531), 555-557. doi:10.1017/s0025557200002023DOI: 10.1017/s0025557200002023
The map of my life, by Goro Shimura. pp. 211, £19.99 (hardback). 2008. ISBN 978-0-387-79714-4 (Springer). (Journal article)
Giblin, P. J. (2010). The map of my life, by Goro Shimura. pp. 211, £19.99 (hardback). 2008. ISBN 978-0-387-79714-4 (Springer).. The Mathematical Gazette, 94(531), 553-554. doi:10.1017/s002555720000200xDOI: 10.1017/s002555720000200x
Reviews -
The unravelers, mathematical snapshots, J.-F. Dars, A. Lesne and A. Papillault, (eds) (trans. V. Méla) £26.50. 2008. ISBN 978-1-56881-441-4 (A.K. Peters). (Journal article)
Giblin, P. (2010). Reviews - The unravelers, mathematical snapshots, J.-F. Dars, A. Lesne and A. Papillault, (eds) (trans. V. Méla) £26.50. 2008. ISBN 978-1-56881-441-4 (A.K. Peters).. The Mathematical Gazette, 94(529), 178-180. doi:10.1017/s0025557200007415DOI: 10.1017/s0025557200007415
2009
Bifurcations of affine equidistants (Journal article)
Giblin, P. J., Warder, J. P., & Zakalyukin, V. M. (2009). Bifurcations of affine equidistants. Proceedings of the Steklov Institute of Mathematics, 267(1), 59-75. doi:10.1134/s0081543809040051DOI: 10.1134/s0081543809040051
The world of Maria Gaetana Agnesi, mathematician of God, by Massimo Mazzotti. Pp. 217. Hardback £33.50. 2007. ISBN 978-0-8018-8709-3 (Johns Hopkins University Press). (Journal article)
Giblin, P. (2009). The world of Maria Gaetana Agnesi, mathematician of God, by Massimo Mazzotti. Pp. 217. Hardback £33.50. 2007. ISBN 978-0-8018-8709-3 (Johns Hopkins University Press).. The Mathematical Gazette, 93(528), 560-561. doi:10.1017/s002555720018547xDOI: 10.1017/s002555720018547x
Transitions of the 3D medial axis under a one-parameter family of deformations. (Journal article)
Giblin, P. J., Kimia, B. B., & Pollitt, A. J. (2009). Transitions of the 3D medial axis under a one-parameter family of deformations.. IEEE transactions on pattern analysis and machine intelligence, 31(5), 900-918. doi:10.1109/tpami.2008.120DOI: 10.1109/tpami.2008.120
Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: I (Journal article)
Damon, J., Giblin, P., & Haslinger, G. (2009). Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: I. International Journal of Computer Vision, 82(1), 25-47. doi:10.1007/s11263-008-0182-0DOI: 10.1007/s11263-008-0182-0
Three-dimensional arm movements at constant equi-affine speed. (Journal article)
Pollick, F. E., Maoz, U., Handzel, A. A., Giblin, P. J., Sapiro, G., & Flash, T. (2009). Three-dimensional arm movements at constant equi-affine speed.. Cortex; a journal devoted to the study of the nervous system and behavior, 45(3), 325-339. doi:10.1016/j.cortex.2008.03.010DOI: 10.1016/j.cortex.2008.03.010
2008
Local Forms and Transitions of the Medial Axis (Chapter)
Giblin, P. J., & Kimia, B. B. (2008). Local Forms and Transitions of the Medial Axis. In Computational Imaging and Vision (pp. 37-68). Springer Netherlands. doi:10.1007/978-1-4020-8658-8_2DOI: 10.1007/978-1-4020-8658-8_2
2007
Recognition of centre symmetry set singularities (Journal article)
Giblin, P. J., & Zakalyukin, V. M. (2007). Recognition of centre symmetry set singularities. Geometriae Dedicata, 130(1), 43-58. doi:10.1007/s10711-007-9204-2DOI: 10.1007/s10711-007-9204-2
Vertices and inflexions of plane sections of surfaces in ℝ3 (Chapter)
Giblin, P., & Diatta, A. (2007). Vertices and inflexions of plane sections of surfaces in ℝ3. In J. P. Brasselet, & M. A. S. Ruas (Eds.), Real and Complex Singularities (pp. 71-98). Basel - Boston - Berlin: Birkhauser. Retrieved from http://www.springer.com/
2006
Alternative 2D Shape Representations using the Symmetry Set (Journal article)
Kuijper, A., Olsen, O. F., Giblin, P., & Nielsen, M. (2006). Alternative 2D Shape Representations using the Symmetry Set. Journal of Mathematical Imaging and Vision, 26(1-2), 127-147. doi:10.1007/s10851-006-8372-2DOI: 10.1007/s10851-006-8372-2
Matching 2D Shapes using the Symmetry Set (Conference Paper)
Kuijper, A., Olsen, O. F., Giblin, P. J., & Bille, P. (2006). Matching 2D Shapes using the Symmetry Set. In 18th International Conference on Pattern Recognition (ICPR 2006) Vol. II (pp. 179-182). Hong Kong: IEEE Computer Society, U.S..
Matching 2D Shapes using their Symmetry Sets (Conference Paper)
Kuijper, A., Olsen, O. F., Bille, P., & Giblin, P. (2006). Matching 2D Shapes using their Symmetry Sets. In 18th International Conference on Pattern Recognition (ICPR'06). IEEE. doi:10.1109/icpr.2006.782DOI: 10.1109/icpr.2006.782
Vertices and Inflexions of Plane Sections of Surfaces in ℝ3 (Conference Paper)
Diatta, A., & Giblin, P. (2006). Vertices and Inflexions of Plane Sections of Surfaces in ℝ3. In Unknown Conference (pp. 71-97). Birkhäuser Basel. doi:10.1007/978-3-7643-7776-2_7DOI: 10.1007/978-3-7643-7776-2_7
2005
A panoramic view of Riemannian geometry, by Marcel Berger. Pp. 824. £46.00. 2003. ISBN 3 540 65317 1 (Springer-Verlag). (Journal article)
Giblin, P. (2005). A panoramic view of Riemannian geometry, by Marcel Berger. Pp. 824. £46.00. 2003. ISBN 3 540 65317 1 (Springer-Verlag).. The Mathematical Gazette, 89(514), 162-163. doi:10.1017/s0025557200177289DOI: 10.1017/s0025557200177289
The prime number theorem, by G. J. O. Jameson. Pp. 252. £18.95 (pbk), £50 (hbk). 2003. ISBN 0 52189110 8 (pbk), 0 521814111 (hbk) (Cambridge University Press). (Journal article)
Giblin, P. (2005). The prime number theorem, by G. J. O. Jameson. Pp. 252. £18.95 (pbk), £50 (hbk). 2003. ISBN 0 52189110 8 (pbk), 0 521814111 (hbk) (Cambridge University Press).. The Mathematical Gazette, 89(514), 147-148. doi:10.1017/s0025557200177150DOI: 10.1017/s0025557200177150
Geometry of Isophote Curves (Conference Paper)
Diatta, A., & Giblin, P. (2005). Geometry of Isophote Curves. In Unknown Conference (pp. 50-61). Springer Berlin Heidelberg. doi:10.1007/11408031_5DOI: 10.1007/11408031_5
Geometry of isophote curves (Conference Paper)
Diatta, A., & Giblin, P. (2005). Geometry of isophote curves. In Scale Space and PDE Methods in Computer Vision Vol. 3459 (pp. 50-61). Hofgeismar, Germany: Springer-Verlag.
Level Sets of Functions and Symmetry Sets of Surface Sections (Chapter)
Diatta, A., Giblin, P., Guilfoyle, B., & Klingenberg, W. (2005). Level Sets of Functions and Symmetry Sets of Surface Sections. In Mathematics of Surfaces XI (pp. 147-160). Springer Berlin Heidelberg. doi:10.1007/11537908_9DOI: 10.1007/11537908_9
Level sets of functions and symmetry sets of surface sections (Conference Paper)
Diatta, A., Giblin, P., Guilfoyle, B., & Klingenberg, W. (2005). Level sets of functions and symmetry sets of surface sections. In Mathematics of Surfaces XI Vol. 3604 (pp. 49-60). Loughborough: Springer-Verlag.
Pre-symmetry Sets of 3D Shapes (Conference Paper)
Diatta, A., & Giblin, P. (2005). Pre-symmetry Sets of 3D Shapes. In Unknown Conference (pp. 36-48). Springer Berlin Heidelberg. doi:10.1007/11577812_4DOI: 10.1007/11577812_4
Singularities of centre symmetry sets (Journal article)
Giblin, P. J., & Zakalyukin, V. M. (2005). Singularities of centre symmetry sets. Proceedings of the London Mathematical Society, 90(01), 132-166. doi:10.1112/s0024611504014923DOI: 10.1112/s0024611504014923
2004
Area-Based Medial Axis of Planar Curves. (Journal article)
Niethammer, M., Betelu, S., Sapiro, G., Tannenbaum, A., & Giblin, P. J. (2004). Area-Based Medial Axis of Planar Curves.. International journal of computer vision, 60(3), 203-224. doi:10.1023/b:visi.0000036835.28674.d0DOI: 10.1023/b:visi.0000036835.28674.d0
A formal classification of 3D medial axis points and their local geometry. (Journal article)
Giblin, P., & Kimia, B. B. (2004). A formal classification of 3D medial axis points and their local geometry.. IEEE transactions on pattern analysis and machine intelligence, 26(2), 238-251. doi:10.1109/tpami.2004.1262192DOI: 10.1109/tpami.2004.1262192
Consistency Conditions on the Medial Axis (Conference Paper)
Pollitt, A., Giblin, P., & Kimia, B. (2004). Consistency Conditions on the Medial Axis. In Unknown Conference (pp. 530-541). Springer Berlin Heidelberg. doi:10.1007/978-3-540-24671-8_42DOI: 10.1007/978-3-540-24671-8_42
From a 2D Shape to a String Structure Using the Symmetry Set (Conference Paper)
Kuijper, A., Olsen, O. F., Giblin, P., Bille, P., & Nielsen, M. (2004). From a 2D Shape to a String Structure Using the Symmetry Set. In Unknown Conference (pp. 313-325). Springer Berlin Heidelberg. doi:10.1007/978-3-540-24671-8_25DOI: 10.1007/978-3-540-24671-8_25
Towards surface regularization via medial axis transitions (Conference Paper)
Leymarie, F. F., Kimia, B. B., & Giblin, P. J. (2004). Towards surface regularization via medial axis transitions. In Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004.. IEEE. doi:10.1109/icpr.2004.1334484DOI: 10.1109/icpr.2004.1334484
2003
(Journal article)
Giblin, P. J. (2003). Unknown Title. International Journal of Computer Vision, 54(1/2), 143-156. doi:10.1023/a:1023761518825DOI: 10.1023/a:1023761518825
Elementary geometry of differentiable curves, by C. G. Gibson. Pp. 233. £16.95 (pb), £47.50 (hb). 2001. ISBN 0 521 01107 8 (pb), 0 521 80453 1 (hb) (Cambridge University Press). (Journal article)
Giblin, P. (2003). Elementary geometry of differentiable curves, by C. G. Gibson. Pp. 233. £16.95 (pb), £47.50 (hb). 2001. ISBN 0 521 01107 8 (pb), 0 521 80453 1 (hb) (Cambridge University Press).. The Mathematical Gazette, 87(509), 396-397. doi:10.1017/s0025557200173383DOI: 10.1017/s0025557200173383
On the intrinsic reconstruction of shape from its symmetries (Journal article)
Giblin, P. J., & Kimia, B. B. (2003). On the intrinsic reconstruction of shape from its symmetries. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(7), 895-911. doi:10.1109/tpami.2003.1206518DOI: 10.1109/tpami.2003.1206518
`Affine distance symmetry sets' (Journal article)
Giblin, P. J., & Holtom, P. A. (2003). `Affine distance symmetry sets'. Mathematica Scandinavica, 93(2), 247-267.
`On the local form and Transitions of Symmetry Sets, Medial Axes and Shocks' (Journal article)
Giblin, P. J., & Kimia, B. B. (2003). `On the local form and Transitions of Symmetry Sets, Medial Axes and Shocks'. International Journal of Computer Vision, 54(1-2), 143-157.
2002
The essentials of CAGD, by Gerald Farin and Dianne Hansford. Pp. 229. £33.00 2000. ISBN 1 56881 123 3 (A. K. Peters). (Journal article)
Giblin, P. (2002). The essentials of CAGD, by Gerald Farin and Dianne Hansford. Pp. 229. £33.00 2000. ISBN 1 56881 123 3 (A. K. Peters).. The Mathematical Gazette, 86(505), 183-184. doi:10.2307/3621635DOI: 10.2307/3621635
Transitions of the 3D Medial Axis under a One-Parameter Family of Deformations (Conference Paper)
Giblin, P., & Kimia, B. B. (2002). Transitions of the 3D Medial Axis under a One-Parameter Family of Deformations. In Unknown Conference (pp. 718-734). Springer Berlin Heidelberg. doi:10.1007/3-540-47967-8_48DOI: 10.1007/3-540-47967-8_48
2001
Cinderella (Version 1.2), interactive geometry software, by Jürgen Richter-Gebert and Ulrich H. Kortenkamp. CD-ROM with handbook. 1999. £31.37 (plus VAT). ISBN 3 540 14719 5 (Springer). (Journal article)
Giblin, P. (2001). Cinderella (Version 1.2), interactive geometry software, by Jürgen Richter-Gebert and Ulrich H. Kortenkamp. CD-ROM with handbook. 1999. £31.37 (plus VAT). ISBN 3 540 14719 5 (Springer).. The Mathematical Gazette, 85(503), 364-366. doi:10.2307/3622067DOI: 10.2307/3622067
Elementary differential geometry, by Andrew Pressley. Springer Undergraduate Mathematics Series. Pp. 332. £18.95. 2001. ISBN 1 85233 152 6 (Springer). (Journal article)
Giblin, P. (2001). Elementary differential geometry, by Andrew Pressley. Springer Undergraduate Mathematics Series. Pp. 332. £18.95. 2001. ISBN 1 85233 152 6 (Springer).. The Mathematical Gazette, 85(503), 372-373. doi:10.1017/s0025557200168664DOI: 10.1017/s0025557200168664
Elementary differential geometry, by Andrew Pressley. Springer Undergraduate Mathematics Series. Pp. 332. £18.95. 2001. ISBN 1 85233 152 6 (Springer). (Journal article)
Giblin, P. (2001). Elementary differential geometry, by Andrew Pressley. Springer Undergraduate Mathematics Series. Pp. 332. £18.95. 2001. ISBN 1 85233 152 6 (Springer).. The Mathematical Gazette, 85(503), 372-373. doi:10.2307/3622071DOI: 10.2307/3622071
On the computation of the affine skeletons of planar curves and the detection of skew symmetry (Journal article)
Betelu, S., Sapiro, G., Tannenbaum, A., & Giblin, P. J. (2001). On the computation of the affine skeletons of planar curves and the detection of skew symmetry. Pattern Recognition, 34(5), 943-952. doi:10.1016/s0031-3203(00)00045-5DOI: 10.1016/s0031-3203(00)00045-5
Computational geometry: algorithms and applications (2nd edn.), by M. de Berg,
M. van Kreveld, M. Overmars and O. Schwarzkopf. Pp. 367. £20.50. 2000. ISBN 3 540
65620 0 (Springer-Verlag). (Journal article)
Giblin, P. (2001). Computational geometry: algorithms and applications (2nd edn.), by M. de Berg, M. van Kreveld, M. Overmars and O. Schwarzkopf. Pp. 367. £20.50. 2000. ISBN 3 540 65620 0 (Springer-Verlag).. The Mathematical Gazette, 85(502), 175-176. doi:10.2307/3620533DOI: 10.2307/3620533
‘Mathematical explorations with MATLAB (Russian Translation) (Book)
Chen, K., Giblin, P. J., & Irving, A. C. (2001). ‘Mathematical explorations with MATLAB (Russian Translation). Moscow: Mir Publishers.
2000
Noise-Resistant Affine Skeletons of Planar Curves (Chapter)
Betelu, S., Sapiro, G., Tannenbaum, A., & Giblin, P. J. (2000). Noise-Resistant Affine Skeletons of Planar Curves. In Computer Vision - ECCV 2000 (pp. 742-754). Springer Berlin Heidelberg. doi:10.1007/3-540-45054-8_48DOI: 10.1007/3-540-45054-8_48
Singularities of families of chords (Journal article)
Giblin, P. J., & Zakalyukin, V. M. (2000). Singularities of families of chords. Functional Analysis and Its Applications, 36(3), 220-224.
Symmetry Sets and Medial Axes in Two and Three Dimensions (Chapter)
Giblin, P. (2000). Symmetry Sets and Medial Axes in Two and Three Dimensions. In The Mathematics of Surfaces IX (pp. 306-321). Springer London. doi:10.1007/978-1-4471-0495-7_18DOI: 10.1007/978-1-4471-0495-7_18
1999
(Journal article)
Åström, K., Cipolla, R., & Giblin, P. (1999). Unknown Title. International Journal of Computer Vision, 33(1), 51-72. doi:10.1023/a:1008113231241DOI: 10.1023/a:1008113231241
Families of surfaces: focal sets, ridges and umbilics (Journal article)
BRUCE, J. W., GIBLIN, P. J., & TARI, F. (1999). Families of surfaces: focal sets, ridges and umbilics. Mathematical Proceedings of the Cambridge Philosophical Society, 125(2), 243-268. doi:10.1017/s0305004198003004DOI: 10.1017/s0305004198003004
On the local form and transitions of symmetry sets, medial axes, and shocks (Conference Paper)
Giblin, P. J., & Kimia, B. B. (1999). On the local form and transitions of symmetry sets, medial axes, and shocks. In Proceedings of the Seventh IEEE International Conference on Computer Vision. IEEE. doi:10.1109/iccv.1999.791246DOI: 10.1109/iccv.1999.791246
1998
Apparent contours: an outline (Journal article)
Giblin, P. (1998). Apparent contours: an outline. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 356(1740), 1087-1102. doi:10.1098/rsta.1998.0212DOI: 10.1098/rsta.1998.0212
(Journal article)
Giblin, P. J., & Sapiro, G. (1998). Unknown Title. Geometriae Dedicata, 71(3), 237-261. doi:10.1023/a:1005099011913DOI: 10.1023/a:1005099011913
1997
(Journal article)
Cipolla, R., Fletcher, G., & Giblin, P. (1997). Unknown Title. International Journal of Computer Vision, 23(2), 115-129. doi:10.1023/a:1007920028712DOI: 10.1023/a:1007920028712
Affine-Invariant Symmetry Sets (Chapter)
Giblin, P. J., & Sapiro, G. (1997). Affine-Invariant Symmetry Sets. In Foundations of Computational Mathematics (pp. 152-168). Springer Berlin Heidelberg. doi:10.1007/978-3-642-60539-0_11DOI: 10.1007/978-3-642-60539-0_11
1996
Convex hulls, occluding contours, aspect graphs and the Hough transform (Journal article)
Wright, M., Fitzgibbon, A., Giblin, P. J., & Fisher, R. B. (1996). Convex hulls, occluding contours, aspect graphs and the Hough transform. Image and Vision Computing, 14(8), 627-634. doi:10.1016/0262-8856(96)01100-6DOI: 10.1016/0262-8856(96)01100-6
Ridges, crests and sub-parabolic lines of evolving surfaces (Journal article)
Bruce, J. W., Giblin, P. J., & Tari, F. (1996). Ridges, crests and sub-parabolic lines of evolving surfaces. International Journal of Computer Vision, 18(3), 195-210. doi:10.1007/bf00123141DOI: 10.1007/bf00123141
Parabolic curves of evolving surfaces (Journal article)
Bruce, J. W., Giblin, P. J., & Tari, F. (1996). Parabolic curves of evolving surfaces. International Journal of Computer Vision, 17(3), 291-306. doi:10.1007/bf00128235DOI: 10.1007/bf00128235
Beyond the Hough transform: Further properties of the Rθ mapping and their applications (Chapter)
Wright, M., Fitzgibbon, A., Giblin, P. J., & Fisher, R. B. (1996). Beyond the Hough transform: Further properties of the Rθ mapping and their applications. In Object Representation in Computer Vision II (pp. 361-380). Springer Berlin Heidelberg. doi:10.1007/3-540-61750-7_37DOI: 10.1007/3-540-61750-7_37
Class based reconstruction techniques using singular apparent contours (Chapter)
Fletcher, G. J., & Giblin, P. J. (1996). Class based reconstruction techniques using singular apparent contours. In Lecture Notes in Computer Science (pp. 107-116). Springer Berlin Heidelberg. doi:10.1007/bfb0015527DOI: 10.1007/bfb0015527
Generalised epipolar constraints (Chapter)
Åström, K., Cipolla, R., & Giblin, P. J. (1996). Generalised epipolar constraints. In Lecture Notes in Computer Science (pp. 95-108). Springer Berlin Heidelberg. doi:10.1007/3-540-61123-1_130DOI: 10.1007/3-540-61123-1_130
1995
Skeletonization using an extended Euclidean distance transform (Journal article)
Wright, M. W., Cipolla, R., & Giblin, P. J. (1995). Skeletonization using an extended Euclidean distance transform. Image and Vision Computing, 13(5), 367-375. doi:10.1016/0262-8856(95)99723-eDOI: 10.1016/0262-8856(95)99723-e
Epipolar curves on surfaces (Journal article)
Giblin, P. J., & Weiss, R. S. (1995). Epipolar curves on surfaces. Image and Vision Computing, 13(1), 33-44. doi:10.1016/0262-8856(95)91466-qDOI: 10.1016/0262-8856(95)91466-q
Perpendicular bisectors, duality and local symmetry of plane curves (Journal article)
Giblin, P., & Tari, F. (1995). Perpendicular bisectors, duality and local symmetry of plane curves. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 125(1), 181-194. doi:10.1017/s0308210500030821DOI: 10.1017/s0308210500030821
1994
Recovery of an unknown axis of rotation from the profiles of a rotating surface (Journal article)
Giblin, P. J., Pollick, F. E., & Rycroft, J. E. (1994). Recovery of an unknown axis of rotation from the profiles of a rotating surface. Journal of the Optical Society of America A, 11(7), 1976. doi:10.1364/josaa.11.001976DOI: 10.1364/josaa.11.001976
On the Geometry of Piecewise Circular Curves (Journal article)
Banchoff, T., & Giblin, P. (1994). On the Geometry of Piecewise Circular Curves. The American Mathematical Monthly, 101(5), 403-416. doi:10.1080/00029890.1994.11996965DOI: 10.1080/00029890.1994.11996965
Epipolar fields on surfaces (Chapter)
Giblin, P. J., & Weiss, R. S. (1994). Epipolar fields on surfaces. In Computer Vision — ECCV '94 (pp. 14-23). Springer Berlin Heidelberg. doi:10.1007/3-540-57956-7_2DOI: 10.1007/3-540-57956-7_2
1993
Symmetry sets of piecewise-circular curves (Journal article)
Giblin, P. J., & Banchoff, T. F. (1993). Symmetry sets of piecewise-circular curves. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 123(6), 1135-1149. doi:10.1017/s0308210500029784DOI: 10.1017/s0308210500029784
1992
Human Recovery of Shape from Profiles (Journal article)
Pollick, F. E., Giblin, P. J., Rycroft, J., & Wilson, L. L. (1992). Human Recovery of Shape from Profiles. Behaviormetrika, 19(1), 65-79. doi:10.2333/bhmk.19.65DOI: 10.2333/bhmk.19.65
1991
Local reflexional and rotational symmetry in the plane (Chapter)
Giblin, P. J., & Tari, F. (1991). Local reflexional and rotational symmetry in the plane. In Lecture Notes in Mathematics (pp. 154-171). Springer Berlin Heidelberg. doi:10.1007/bfb0086379DOI: 10.1007/bfb0086379
1990
The Bitangent Sphere Problem (Journal article)
Giblin, P. J., & O'Shea, D. B. (1990). The Bitangent Sphere Problem. The American Mathematical Monthly, 97(1), 5-23. doi:10.1080/00029890.1990.11995539DOI: 10.1080/00029890.1990.11995539
1989
The information available to a moving observer from specularities (Journal article)
Zisserman, A., Giblin, P., & Blake, A. (1989). The information available to a moving observer from specularities. Image and Vision Computing, 7(1), 38-42. doi:10.1016/0262-8856(89)90018-8DOI: 10.1016/0262-8856(89)90018-8
1988
On the geometry of a surface and its singular profiles (Journal article)
Giblin, P. J., & Soares, M. G. (1988). On the geometry of a surface and its singular profiles. Image and Vision Computing, 6(4), 225-234. doi:10.1016/0262-8856(88)90012-1DOI: 10.1016/0262-8856(88)90012-1
The Information Available to a Moving Observer from Specularities (Conference Paper)
Zisserman, A., Giblin, P., & Blake, A. (1988). The Information Available to a Moving Observer from Specularities. In Procedings of the Alvey Vision Conference 1988. Alvey Vision Club. doi:10.5244/c.2.26DOI: 10.5244/c.2.26
1987
Generic isotopies of space curves (Journal article)
Bruce, J. W., & Giblin, P. J. (1987). Generic isotopies of space curves. Glasgow Mathematical Journal, 29(1), 41-63. doi:10.1017/s0017089500006650DOI: 10.1017/s0017089500006650
Global theorems for symmetry sets of smooth curves and polygons in the plane (Journal article)
Banchoff, T. F., & Giblin, P. J. (1987). Global theorems for symmetry sets of smooth curves and polygons in the plane. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 106(3-4), 221-231. doi:10.1017/s0308210500018369DOI: 10.1017/s0308210500018369
1986
Growth, motion and 1-parameter families of symmetry sets (Journal article)
Bruce, J. W., & Giblin, P. J. (1986). Growth, motion and 1-parameter families of symmetry sets. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 104(3-4), 179-204. doi:10.1017/s030821050001917xDOI: 10.1017/s030821050001917x
1985
Local Symmetry of Plane Curves (Journal article)
Giblin, P. J., & Brassett, S. A. (1985). Local Symmetry of Plane Curves. The American Mathematical Monthly, 92(10), 689-707. doi:10.1080/00029890.1985.11971717DOI: 10.1080/00029890.1985.11971717
Symmetry sets (Journal article)
Bruce, J. W., Giblin, P. J., & Gibson, C. G. (1985). Symmetry sets. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 101(1-2), 163-186. doi:10.1017/s0308210500026263DOI: 10.1017/s0308210500026263
1984
Generic 1-parameter families of caustics by reflexion in the plane (Journal article)
Fidal, D. L., & Giblin, P. J. (1984). Generic 1-parameter families of caustics by reflexion in the plane. Mathematical Proceedings of the Cambridge Philosophical Society, 96(3), 425-432. doi:10.1017/s0305004100062332DOI: 10.1017/s0305004100062332
Caustics through the looking glass (Journal article)
Bruce, J. W., Giblin, P. J., & Gibson, C. G. (1984). Caustics through the looking glass. The Mathematical Intelligencer, 6(1), 47-58. doi:10.1007/bf03024207DOI: 10.1007/bf03024207
1983
Caustics by reflexion in the extended plane (Journal article)
Bruce, J. W., Giblin, P. J., & Gibson, C. G. (1983). Caustics by reflexion in the extended plane. Geometriae Dedicata, 15(2). doi:10.1007/bf00147762DOI: 10.1007/bf00147762
Generic Geometry (Journal article)
Bruce, J. W., & Giblin, P. J. (1983). Generic Geometry. The American Mathematical Monthly, 90(8), 529-545. doi:10.1080/00029890.1983.11971276DOI: 10.1080/00029890.1983.11971276
1982
Generic Curves and Surfaces II (Journal article)
Bruce, J. W., & Giblin, P. J. (1982). Generic Curves and Surfaces II. Journal of the London Mathematical Society, s2-26(1), 174-182. doi:10.1112/jlms/s2-26.1.174DOI: 10.1112/jlms/s2-26.1.174
Source genericity of caustics by reflexion in R
<sup>3</sup> (Journal article)
Source genericity of caustics by reflexion in R <sup>3</sup> (1982). Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 381(1780), 83-116. doi:10.1098/rspa.1982.0060DOI: 10.1098/rspa.1982.0060
Specializations of complex quartic curves (Journal article)
Giblin, P. J., & Hui, C. M. (1982). Specializations of complex quartic curves. Mathematical Proceedings of the Cambridge Philosophical Society, 91(2), 171-181. doi:10.1017/s0305004100059235DOI: 10.1017/s0305004100059235
On caustics by reflexion (Journal article)
Bruce, J. W., Giblin, P. J., & Gibson, C. G. (1982). On caustics by reflexion. Topology, 21(2), 179-199. doi:10.1016/0040-9383(82)90004-0DOI: 10.1016/0040-9383(82)90004-0
Recognizing singularities of surfaces in ℂP<sup>3</sup> (Journal article)
Soares, M. G., & Giblin, P. J. (1982). Recognizing singularities of surfaces in ℂP<sup>3</sup>. Mathematical Proceedings of the Cambridge Philosophical Society, 91(1), 17-27. doi:10.1017/s0305004100059077DOI: 10.1017/s0305004100059077
1981
On Caustics of Plane Curves (Journal article)
Bruce, J. W., Giblin, P. J., & Gibson, C. G. (1981). On Caustics of Plane Curves. The American Mathematical Monthly, 88(9), 651-667. doi:10.1080/00029890.1981.11995337DOI: 10.1080/00029890.1981.11995337
1980
On real simple singularities (Journal article)
Bruce, J. W., & Giblin, P. J. (1980). On real simple singularities. Mathematical Proceedings of the Cambridge Philosophical Society, 88(2), 273-279. doi:10.1017/s0305004100057571DOI: 10.1017/s0305004100057571
1974
Herszberg's Singularities, I (Journal article)
Giblin, P. J., & Reeve, J. E. (1974). Herszberg's Singularities, I. Proceedings of the London Mathematical Society, s3-28(3), 547-576. doi:10.1112/plms/s3-28.3.547DOI: 10.1112/plms/s3-28.3.547
1969
Topology of Double Points of Rank Zero on Threefolds in C<sup>4</sup> (Journal article)
Giblin, P. J. (1969). Topology of Double Points of Rank Zero on Threefolds in C<sup>4</sup>. Journal of the London Mathematical Society, s1-44(1), 523-530. doi:10.1112/jlms/s1-44.1.523DOI: 10.1112/jlms/s1-44.1.523