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\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}