\documentclass[11pt,a4]{article} \textwidth=16.5truecm \voffset=-1.3truecm %%% Works with Latex 2e \textheight=23truecm \hoffset=-1.8truecm %%% Works with Latex 2e %\textwidth=16truecm \voffset=-1.5truecm %\textheight=23truecm \hoffset=-1.0truecm \newcommand{\mn}{\medskip\noindent} \newcommand{\sn}{\smallskip\noindent} \begin{document} \section*{Publications} \subsection*{Books} \label{ss:books} \noindent {\em Graphs, surfaces and homology}, xvii + 329 pp, Chapman and Hall 1977, Second Edition 1982. \mn J.W.Bruce and P.J.Giblin {\em Curves and Singularities}, Cambridge University Press, xii + 222 pages, 1984 (reprinted with corrections 1987). Russian translation with an introduction by V.I.Arnol'd, MIR publishers, Moscow, 1988. Second English edition (revised and enlarged), xviii + 321pp, 1992. \mn J.W.Bruce, P.J.Giblin and P.J.Rippon {\em Microcomputers and Mathematics}, xvi + 425pp, Cambridge University Press, 1990; reprinted 1993. \mn ed. by P.J.Giblin and I.R.Porteous, {\em Challenging Mathematics}, 96pp, Oxford University Press, 1990. Polish translation, pub. Wydawnictwa Szkolne e Pedagogiczne 1995. \mn {\em Primes and Programming: an introduction to Number Theory with Computing}, x + 239pp. Cambridge University Press, 1993, reprinted 1994. \mn K.Chen, P.J.Giblin and A.C.Irving, {\em Mathematical Explorations in Matlab}, Cambridge University Press,xiv+306pp. (1999). \mn P.L.Hallinan, G.G.Gordon, A.L.Yuille, P.Giblin and D.Mumford, {\em Two and three dimensional patterns of the face}, viii+262 pages, Natick, Massachusetts: A.K.Peters 1999. \mn R.Cipolla and P.J.Giblin, {\em Visual Motion of curves and surfaces}, viii + 184pp. Cambridge University Press, 1999. \subsection*{Contributions to books} \label{ss:contrib} %\bibitem{g89} `Local symmetry in the plane: experiment and theory', in {\em Computers in Geometry and Topology}, ed. M.C.Tangora, {\em Lecture Notes in Pure and Applied Math.} Vol 114, pp. 131--149. Marcel Dekker 1989. \subsection*{Locally produced books} \label{ss:localbooks} \noindent P.J.Giblin,I.R.Porteous, A. Veevers and G.Walker Radio Challenge Scripts 1983, University of Liverpool. \mn P.J.Giblin and I.R.Porteous {\em Challenge 1978-83}, University of Liverpool. \mn P.J.Giblin and I.R.Porteous {\em Challenge 1984-88}, University of Liverpool. \begin{thebibliography}{99} \bibitem{g68} `Circle bundles over a complex quadric', {\em J. London Math. Soc. } 43 (1968), 323--324. \bibitem{g69} `Topology of double points of rank zero on three-folds in $C^4$' , {\em J. London Math. Soc.} 44 (1969), 523--530. \bibitem{g72} `What is an asymptote?', {\em Math. Gazette} 26 (1972), 274--284. Translated as `?`Que es una asymtota?', {\em Boletin de Math. (Bogota)} 9 (1975), 171--188. \bibitem{g73} `On the singularities of two related hypersurfaces', {\em J. London Math. Soc.} 7 (1973), 367--375. \bibitem{gr74} P.J.Giblin and J.E. Reeve `Herszberg's singularities', {\em Proc. London Math. Soc.} (3) 28 (1974), 547--576. \bibitem{bg80} J.W.Bruce and P.J.Giblin `On real simple singularities', {\em Math. Proc. Camb. Philos. Soc.} 88 (1980), 273--279. \bibitem{bg81a} J.W.Bruce and P.J.Giblin `A stratification of the space of plane quartic curves', {\em Proc. London Math. Soc.} (3) 42 (1981), 270--298. \bibitem{bgg81} J.W.Bruce, P.J.Giblin and C.G.Gibson `On caustics of plane curves', {\em Amer. Math. Monthly} 88 (1981), 651--667. \bibitem{bg81b} J.W.Bruce and P.J.Giblin `Generic curves and surfaces', {\em J. London Math. Soc.} 24 (1981), 555--561. \bibitem{gg81} P.J.Giblin and C.G.Gibson `On regularity conditions over exceptional unimodular families of singularities', {\em Quart. J. Math. (Oxford)} (2) 32 (1981), 23--43. \bibitem{bg81c} J.W.Bruce and P.J.Giblin `What is an envelope?', {\em Math. Gazette} 65 (1981), 186--192. \bibitem{gh82} P.J.Giblin and C.M.Hui `Specializations of complex quartic curves', {\em Math. Proc. Camb. Philos. Soc.} 91 (1982), 171--181. \bibitem{gs82} P.J.Giblin and M.G. Soares `Recognizing singularities of surfaces in $CP^3$ ', {\em Math. Proc. Camb. Philos. Soc.} 91 (1982), 17--27. \bibitem{bgg82a} J.W.Bruce, P.J.Giblin and C.G.Gibson `On caustics by reflexion', {\em Topology} 21 (1982), 179--199. \bibitem{bgg82b} J.W.Bruce, P.J.Giblin and C.G.Gibson `Source genericity of caustics by reflexion in the plane', {\em Quart. J. Math. (Oxford) } 33 (1982), 169--190. \bibitem{bgg82c} J.W.Bruce, P.J.Giblin and C.G.Gibson `Source genericity of caustics by reflexion in $R^3$ ', {\em Philos. Trans. Royal Soc. London} 381 (1982), 83--116. \bibitem{bg82} J.W.Bruce and P.J.Giblin `Generic curves and surfaces, II', {\em J. London Math Soc.} 26 (1982), 174--182. \bibitem{g82a} `Parallels', {\em Math. Gazette} 66 (1982), 28--30. \bibitem{g82b} Three problems on caustics, {\em Amer. Math. Monthly} 89 (1982), 594 and 90 (1983), 121; {\em Mathematics Magazine} Sept. 1982. \bibitem{bgg83a} J.W.Bruce, P.J.Giblin and C.G.Gibson `Caustics by reflexion in the extended plane', {\em Geometriae Dedicata} 15 (1983), 171--194. \bibitem{bgg83b} J.W.Bruce, P.J.Giblin and C.G.Gibson `Genericity of caustics by reflexion', {\em Proc. Symposia in Pure Math,} A.M.S., 40 (1983), 179--193. \bibitem{bg83} J.W.Bruce and P.J.Giblin `Generic geometry', {\em Amer. Math., Monthly } 90 (1983), 529--545. \bibitem{bgg84a} J.W.Bruce, P.J.Giblin and C.G.Gibson `Caustics by reflexion in extended space', {\em Society for Industrial and Applied Mathematics Journal of Math. Analysis} 15 (1984), 50--68. \bibitem{bgg84b} J.W.Bruce, P.J.Giblin and C.G.Gibson `Caustics through the looking glass', {\em Math. Intelligencer} 6 (1984), 47--58. \bibitem{bg84a} J.W.Bruce and P.J.Giblin `One-parameter families of caustics by reflexion in the plane', {\em Quart. J. Math (Oxford)} 35 (1984), 243--251. \bibitem{fg84} D.L.Fidal and P.J.Giblin `Generic one-parameter families of caustics in the plane', {\em Math. Proc. Camb. Philos. Soc.} 96 (1984), 425--432. \bibitem{bg84b} J.W.Bruce and P.J.Giblin `An elementary approach to generic properties of plane curves', {\em Proc. Amer. Math. Soc.} 90 (1984), 455--458. \bibitem{bg85a} J.W.Bruce and P.J.Giblin `Smooth maps of discriminant varieties', {\em Proc. London. Math. Soc.} 50 (1985), 535--551. \bibitem{bg85b} J.W.Bruce and P.J.Giblin `Outlines and their duals', {\em Proc. London Math. Soc.} 50 (1985), 552--570. \bibitem{bg85c} J.W.Bruce and P.J.Giblin `Two-parameter families of caustics by reflexion', {\em Proc. London Math. Soc.} 50 (1985), 571--576. \bibitem{bgg85} J.W.Bruce , P.J.Giblin and C.G.Gibson `Symmetry sets', {\em Proc. Royal Soc. Edinburgh} 101A (1985), 163--186. \bibitem{gb85} P.J.Giblin and S.A.Brassett `Local symmetry of plane curves', {\em Amer. Math. Monthly} 92 (1985), 689--707. \bibitem{g85} `Computer graphics in geometry courses', {\em Internat. J. of Math. Education in Science and Technology} 16 (1985), 365--371. \bibitem{bg86} J.W.Bruce and P.J.Giblin `Growth, motion and one-parameter families of symmetry sets', {\em Proc. Royal Soc. Edinburgh} 104A (1986), 179--204. \bibitem{gk86} P.J.Giblin and J. Kingston `Stable triple crossings on caustics by reflexion in the plane' {\em Quarterly J. Math. (Oxford)} 37 (1986). 17--25. \bibitem{gpvw86} P.J.Giblin, I.R.Porteous, A. Veevers and G.Walker `Challenge on Merseyside', {\em Math. Intelligencer} 8 (1986), 57--63. \bibitem{bg87} J.W.Bruce and P.J.Giblin `Generic isotopies of space curves', {\em Glasgow Math. J.} 29 (1987), 41--63. \bibitem{ban-g87} T.F.Banchoff and P.J.Giblin `Global theorems for symmetry sets of smooth curves and polygons in the plane', {\em Proc. Royal Soc. Edinburgh} 106A (1987), 221--231. \bibitem{gw87} P.J.Giblin and R.Weiss `Reconstruction of surfaces from profiles', {\em Proc. First Internat. Conf. on Computer Vision, London,} 1987; Computer Society of the IEEE, pp. 136--144. \bibitem{gs88} P.J.Giblin and M.G.Soares `On the geometry of a surface and its singular profiles', {\em Image and Vision Computing} 6 (1988), 225--234. \bibitem{bg88} J.W.Bruce and P.J.Giblin `Families of spheres and circles', {\em Banach Center Publications, Warsaw,} Vol. 20 (Singularities) (1988), 85--102. \bibitem{zgb89} A.Zisserman, P.J.Giblin and A. Blake `The information available to a moving observer from specularities', {\em Image and Vision Computing} 7 (1989), 38--42. \bibitem{go90} P.J.Giblin and D.O'Shea `The bitangent sphere problem', Amer. Math. Monthly 97 (1990), 5--23. \bibitem{bg90} J.W.Bruce and P.J.Giblin `Projections of surfaces with boundary', {\em Proc. London Math. Soc.} (3) 60 (1990), 392--416 \bibitem{gt91} P.J.Giblin and F.Tari `Local reflexional and rotational symmetry in the Plane', {\em Singularity Theory and its Applications, Springer Lecture Notes in Math.} 1462 (1991) 154--171. \bibitem{pgrw92} F.E.Pollick, P.J.Giblin, J.Rycroft and L.L.Wilson, `Human recovery of shape from profiles', {\em Behaviormetrika} 19 (1992), 65--79. \bibitem{ban-g93} T.F.Banchoff and P.J.Giblin `Symmetry sets of piecewise circular curves', {\em Proc. Royal Soc. Edinburgh} 123A (1993), 1135--1149. \bibitem{grp94} P.J.Giblin, J.E.Rycroft and F.E.Pollick, `Moving Surfaces', in {\em Design and Applications of Curves and Surfaces: Mathematics of Surfaces V}, Oxford University Press (IMA Conference Proceedings Series), 1994, pp. 433--453. \bibitem{ban-g94} T.F.Banchoff and P.J.Giblin `On the geometry of piecewise- circular curves', {\em Amer. Math. Monthly} 101 (1994), 403--416. \bibitem{gpr94} P.J.Giblin, F.E.Pollick and J.E.Rycroft, `Recovery of an unknown axis of rotation from the profiles of a rotating surface', {\em J.Optical Soc. America} 11A (1994), 1976--1984. \bibitem{gw94} P.J.G and R.S.Weiss, `Epipolar fields on surfaces', {\em Computer Vision - ECCV 94}, Ed. J.-0. Eklundh, {\em Springer Lecture Notes in Computer Science} 800 (1994), 14--23 \bibitem{wcg94} M.W.Wright, R.Cipolla and P.J.Giblin, `Skeletonisation using an extended Euclidean distance transform', {\em Proc. British Machine Vision Conference} (Ed. E. Hancock), Vol II, 1994, pp.559--568; also {\em Image and Vision Computing} 13 (1995), 367--375. \bibitem{gw95} P.J.Giblin and R.S.Weiss, `Epipolar curves on surfaces', {\em Image and Vision Computing} 13 (1995), 33--44. \bibitem{gt95} P.J.Giblin and F.Tari, `Perpendicular bisectors, duals and local symmetry', {\em Proc. Royal Soc. Edinburgh} 125A (1995), 181--194. \bibitem{bgt95} J.W.Bruce, P.J.Giblin and F.Tari, `Families of surfaces: height functions, Gauss maps and duals', in {\em Real and Complex Singularities,} W.L.Marar(ed.), {\em Pitman Research Notes in Mathematics}, Vol. 333 (1995), 148--178. \bibitem{cfg95} R.Cipolla, G.Fletcher and P.J.Giblin, `Surface geometry from cusps of apparent contours', {\em Proc. Int. Conf. on Computer Vision} June 1995 (IEEE Computer Society Press), pp. 858--863. \bibitem{cag95} R.Cipolla, K.\AA str\"{o}m and P.J.Giblin `Motion from the frontier of curved surfaces', {\em Proc. Int. Conf. on Computer Vision} June 1995 (IEEE Computer Society Press), pp. 269--275. \bibitem{wfgf95} M.W.Wright, A.Fitzgibbon, P.J.Giblin and R.B.Fisher, `Convex hulls, occluding contours, aspect graphs and the Hough transform', {\em Proc. British Machine Vision Conference} 1995, p. 493--502, and {\em Image and Vision Computing} 14 (1996), 627--634. \bibitem{cfg96} R.Cipolla, G.Fletcher and P.J.Giblin, `Following cusps', {\em Int. J. Computer Vision} 23 (1997), 115--129. \bibitem{bgt96a} J.W.Bruce, P.J.Giblin and F.Tari, `Parabolic curves of evolving surfaces,' {\em Int. J. Computer Vision.} 17 (1996), 291--306. \bibitem{bgt96b} J.W.Bruce, P.J.Giblin and F.Tari, `Ridges, crests and sub-parabolic lines of evolving surfaces', {\em Int. J. Computer Vision.} 18 (1996), 195--210. \bibitem{fg96} G.Fletcher and P.J.Giblin, `Class based reconstruction techniques using singular apparent contours', Proc. European Conference on Computer Vision 1996, Lecture Notes in Computer Science 1064, Springer-Verlag, 107--116. \bibitem{acg96} K.\AA str\"{o}m, R.Cipolla and P.J.Giblin, `Generalised epipolar constraints', Proc. European Conference on Computer Vision 1996, Lecture Notes in Computer Science 1065, Springer-Verlag, 97--108. \bibitem{wfgf96} M.W.Wright, A.Fitzgibbon, P.J.Giblin and R.B.Fisher, `Beyond the Hough transform: further properties of the $R\Theta$ mapping and their applications', European Conf. on Computer Vision Workshop 1996, Springer Lecture Notes in Computer Science 1144, pp. 361--380. \bibitem{g-trout97} P.J.Giblin and M.Trout, `Symmetric and almost symmetric polygons', {\em Math. Gazette} (1997), 381--390. \bibitem{fletcher-giblin97} G.Fletcher and P.J.Giblin, `Apparent contours, surfaces and motion', Proceedings of International Workshop on Computer Vision and Applied Geometry, Sophus Lie Institute, Nordfjordeid, Norway, August 1995. \bibitem{b-g-t97} J.W.Bruce, P.J.Giblin and F.Tari, `Special surfaces and their duals', Proceedings of International Workshop on Computer Vision and Applied Geometry, Sophus Lie Institute, Nordfjordeid, Norway, August 1995. \bibitem{b-g-t-ht-proj} J.W.Bruce, P.J.Giblin and F.Tari, `Families of surfaces: height functions and projections to planes', {\em Math. Scand} 82 (1998), 165--185. \bibitem{gs96} P.J.Giblin and G.Sapiro, `Affine invariant distances, envelopes and symmetry sets', Technical Report HPL-96-93, Hewlett-Packard, June 1996; {\em Geom. Dedicata} 71 (1998), 237--261. \bibitem{gs97} P.J.Giblin and G.Sapiro, `Affine invariant symmetry sets', in F.Cucker et al. (eds.), {\em Foundations of Computational Mathematics}, Selected papers of a conference at IMPA, Rio di Janeiro, Brazil, January 1997, Springer-Verlag, pp. 152--168. \bibitem{gs98} P.J.Giblin and G.Sapiro, `Affine invariant medial axis and skew symmetry', Proceedings of International Conf. on Computer Vision, Bombay 1998, pp.833--838. \bibitem{giblin98} P.J.Giblin, `Apparent contours: an outline', {\em Phil. Trans. Royal Soc. London} 356 (1998), 1087--1102. \bibitem{g-trout98} P.J.Giblin and M.Trout, `Cusps on wheels on wheels on wheels', {\em Math. Magazine} 71 (1998), 309--313. \bibitem{b-g-t97b} J.W.Bruce, P.J.Giblin and F.Tari, `Families of surfaces: focal sets, ridges and umbilics', {\em Math. Proc. Camb. Phil. Soc} 125 (1999), 243--268. \bibitem{A-C-G-IJCV} K.\AA str\"{o}m, R.Cipolla and P.J.Giblin, `Generalised epipolar Constraints,' {\em Int. J. Computer Vision} 33 (1999) 51--72. \bibitem{Giblin-Holtom98} P.J.Giblin and P.A.Holtom, `The centre symmetry set', {\em Geometry and Topology of Caustics, Banach Center Publications}, Vol 50, ed. S.Janeczko and V.M.Zakalyukin, Warsaw, 1999, pp.91--105. \bibitem{Giblin-Sapiro99} P.J.Giblin and G.Sapiro, `Affine versions of the symmetry set', {\em Real and Complex Singularities}, ed. J.W.Bruce and F.Tari, Chapman and Hall/CRC Research Notes in Mathematics 412 (1999) 173--187. \bibitem{Giblin:Kimia:CVPR1999} P. J. Giblin and B. B. Kimia, `On the Intrinsic Reconstruction of Shape from its Symmetries', {\em Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR99)} IEEE Computer Society Press (1999), 79--84. \bibitem{Giblin:Kimia:ICCV1999} P. J. Giblin and B. B. Kimia, `On the Local Form and Transitions of Symmetry Sets, and Medial Axes, and Shocks in 2D', {\em Proceedings of the Fifth International Conference on Computer Vision (ICCV99)} IEEE Computer Society Press (1999), 385--391. \bibitem{BTSG00} S.Betelu, A.Tannenbaum, G.Sapiro and P.J.Giblin, `On the computation of the affine skeletons of planar curves and the detection of affine symmetry' {\em Pattern Recognition}, to appear. \bibitem{Giblin:Kimia:CVPR2000} P.J.Giblin and B.Kimia, `A formal classification of 3D medial axis points and their local geometry', to appear in the Proceedings of CVPR (IEEE Computer Society Conference on Computer Vision and Pattern Recognition), 2000. \bibitem{BTSG:ECCV2000} S.Betelu, A.Tannenbaum, G.Sapiro and P.J.Giblin, `Noise resistant affine skeletons of planar curves', Proceedings of European Conference on Computer Vision, Dublin 2000, Lecture Notes in Computer Science 1842 (2000), 742--752, Springer-Verlag. \end{thebibliography} \end{document}