%
%	Bruce83		Wavefronts and Parallels in Euclidean Space
%	Bruce83		Generic Geometry
%	Bruce83		Generic Isotopies of Plane Curves
%	Bruce84		Curves and Singularities...
%	Bruce92		Curves and Singularities... (2nd ed.)
%	Bruce84		Caustics Through the Looking Glass
%	Bruce84		Seeing -- The Mathematical Viewpoint
%	Bruce84		Projections and Reflections of a Generic...
%	Bruce85		Outlines and their Duals
%	Bruce85		Symmetry Sets
%	Bruce86		Growth, Motion and 1-Parameter Families of...
%	Bruce89		Geometry of Singular Sets
%	Bruce90		Projections of Surfaces with Boundary
%	Bruce91		Folding Maps and Focal Sets
%	Bruce96		Ridges, Crests & Sub-Parabolic Lines...
%
%	Giblin81	Graphs, Surfaces, and Homology: An Intro...
%	Giblin85	Local Symmetry of Plane Curves
%	Giblin87	Reconstruction of Surfaces From Profiles
%	Giblin89	Local Symmetry in the Plane: Experiment & Theory 
%	Giblin91	Local Reflexional and Rotational Symmetry...
%	Giblin93	Symmetry sets of piecewise circular curves
%	Giblin99	On the Intrinsic Reconstruction of Shape...
%	Giblin99	On the Local Form and Transitions... (2D)
%	Giblin00	On the Local Form of Symmetry Sets,... (3D)
%	Giblin02	Transitions of the 3D Medial Axis Under...
%
%	Banchoff87	Global Theorems for Symmetry Sets of Smooth...
%	Halliman99	Two- & Three-Dimensional Patterns of the Face
%	Wright95	Skeletonization using an Extended Euclidean DT
%

@InProceedings{Bruce83Wavefronts,
  author =	{J. W. Bruce},
  title =	{Wavefronts and Parallels in {E}uclidean Space},
  year =	1983,
  volume =	93,
  booktitle =	{Mathematical Proceedings of the Cambridge
		 Philosophical Society},
  pages =	{323--333}
}

@Article{Bruce83GenericGeom,
  author =	{J. W. Bruce and P. J. Giblin},
  title =	{Generic Geometry},
  year =	1983,
  month =	oct,
  journal =	"The " # AMS,
  volume =	90,
  pages =	{529--545},
  keywords =	{Smooth planar curves}
}

@Article{Bruce83GenericIso,
  author = 	{J. W. Bruce},
  title = 	{Generic Isotopies of Plane Curves},
  journal = 	{Glasgow Mathematical Journal},
  year = 	1983,
  volume = 	24,
  pages = 	{195--206},
  library =	{MathS: QA1 G522}
}

@Book{Bruce84Curves,
  author = 	{J. W. Bruce and P. J. Giblin},
  title = 	{Curves and Singularities: A Geometrical Introduction
		 to Singularity Theory},
  publisher = 	CambUPr,
  year = 	1984,
  address = 	CambAdr,
  note =	{222 pages.},
  keywords =	{Catastrophes. Envelopes. Unfoldings.
		 Transversality.},
  library =	{PSaE: QA649 B74 1984}
}

@Book{Bruce92Curves,
  author = 	{J. W. Bruce and P. J. Giblin},
  title = 	{Curves and Singularities: A Geometrical Introduction
		 to Singularity Theory},
  publisher = 	CambUPr,
  year = 	1992,
  edition =	{$2^{nd}$},
  address = 	CambAdr,
  note =	{321 pages.},
  keywords =	{Catastrophes. Envelopes. Unfoldings.
		 Transversality.}
}

@Article{Bruce84Caustics,
  author =	{Bruce, J. W. and P. J. Giblin and C. G. Gibson},
  title = 	{Caustics Through the Looking Glass},
  journal =	MathIntell,
  year =	1984,
  volume =	6,
  number =	1,
  pages = 	{47--58},
  keywords =	{.}
}

@Article{Bruce84Seeing,
  author =	{Bruce, J. W.},
  title =	{Seeing --- The Mathematical Viewpoint},
  journal =	MathIntell,
  year =	1984,
  volume =	6,
  number =	4,
  pages =	{18--25},
  keywords =	{Characteristic views.},
  library =	{MathS: QA1 M427}
}

@Article{Bruce84Projections,
  author =	{Bruce, J. W.},
  title	=	{Projections and Reflections of Generic Surfaces in
		 ${\Re}^3$},
  year =	1984,
  journal =	MathScand,
  volume =	54,
  pages	=	{262--278},
  keywords =	{Characteristic views.},
  library =	{MathS: QA1 M4223}
}

@Article{Bruce85Outlines,
  author = 	{Bruce, J. W. and P. J. Giblin},
  title = 	{Outlines and their Duals},
  journal = 	PLonMathSoc,
  year = 	1985,
  volume = 	50,
  number = 	3,
  pages = 	{552--570},
  OPTmonth = 	"",
  library =	{MathS: QA1 L5}
}

@Article{Bruce85Symmetry,
  author =	{J. W. Bruce and P. J. Giblin and C. G. Gibson},
  title =	{Symmetry Sets},
  journal =	PRoySocEdin,
  year =	1985,
  volume =	{101A},
  pages =	{163--186}
}

@Article{Bruce86Growth,
  author =	{J. W. Bruce and P. J. Giblin},
  title =	{Growth, Motion and 1-Parameter Families of Symmetry
		 Sets},
  journal =	PRoySocEdin,
  year =	1986,
  volume =	{104A},
  pages =	{179--204}
}

@Article{Bruce89Geometry,
  author =	{Bruce, J. W.},
  title = 	{Geometry of Singular Sets},
  journal = 	MathPrCamb,
  year = 	1989,
  volume = 	106,
  number = 	3,
  pages = 	{495--509},
  month = 	nov
}

@Article{Bruce90Projections,
  author = 	{Bruce, J. W. and P. J. Giblin},
  title = 	{Projections of Surfaces with Boundary},
  journal = 	PLonMathSoc,
  year = 	1990,
  volume = 	60,
  OPTnumber = 	"",
  pages = 	{392--416},
  OPTmonth = 	"",
  library =	{MathS: QA1 L5}
}

@InProceedings{Bruce91Folding,
  author =	{Bruce, J. W. and T. C. Wilkinson},
  title = 	{Folding Maps and Focal Sets},
  pages = 	{63--72},
  booktitle =	{Singularity Theory and its Applications: {W}arwick, 1989},
  editor =	{D. Mond and J. Montaldi},
  publisher = 	{Springer Verlag},
  year = 	1991,
  volume = 	1462,
  series = 	{Lecture Notes in Mathematics Series},
  note = 	{Pt. 1. Geometric Aspects of Singularities.},
  keywords =	{A 3-parameters family F of folding maps conjugated by
		 Euclidean motions has a bifurcation set which is the
		 DUAL of the union of the focal and symmetry sets. The
		 latter sets are also bifurcation sets of the family D
		 of distance squared functions; the focal set being
		 the catastrophe set of D, while the symmetry set is
		 its Maxwell set. The family F picks up geometric
		 features of a surface (X in E^3) undected by D, and
		 blows up the subtle geometry at umbilics.}
}

@Article{Bruce96,
  author = 	 "Bruce, J.W. and Giblin, P.J. and Tari, F.",
  title = 	 "Ridges, Crests and Sub-Parabolic Lines of Evolving Surfaces",
  journal =	 "International Journal of Computer Vision",
  year =	 "1996",
  volume =	 "18",
  number =	 "3",
  pages =	 "195--210",
  month =	 "June",
  OPTnote = 	 "",
}

%%%%%%%%%%

@Book{Giblin81Graphs,
  author = 	{Giblin, P. J.},
  title = 	{Graphs, Surfaces, and Homology: An Introduction to
		 Algebraic Topology},
  publisher = 	{Chapman and Hall},
  year = 	1981,
  series = 	{Mathematics Series},
  address = 	NY,
  edition = 	{$2^{nd}$},
  note = 	{329 pages.},
  OPTkeywords = 	"",
  library = 	{PSE: QA612 G5 1981}
}

@Article{Giblin85Local,
  author =	{P. J. Giblin and S. A. Brassett},
  title =	{Local Symmetry of Plane Curves},
  year =	1985,
  month =	dec,
  journal =	AMM,
  volume =	92,
  pages =	{689--707}
}

@InProceedings{Giblin87Reconstruction,
  crossref = 	{ICCV1},
  author = 	{Peter Giblin and Richard Weiss},
  title = 	{Reconstruction of Surfaces From Profiles},
  pages = 	{136--144},
  keywords = 	{Based on differential geometry. Inflections. Cusps.
		 Characteristic views. Singularity theory.}
}

@InCollection{Giblin89Local,
  author = 	{P. J. Giblin},
  title = 	{Local Symmetry in the Plane: Experiment and Theory},
  booktitle = 	{Computers in Geometry and Topology},
  year = 	1989,
  editor = 	{M. C. Tangora},
  series = 	{Lecture Notes in Pure and Applied Mathematics},
  volume =	114,
  pages = 	{131--149},
  publisher = 	{Marcel Dekker},
  address = 	NY,
  note =	{Proceedings of a conference held at the University of
		 Illinois, Chicago, on March 24--28, 1988.},
  keywords =	{Computation of local symmetries of planar curves on
		 the basis of a smooth parametrization (tangent
		 defined at all points). In the piecewise-linear case
		 a definition of tangency between a circle and a
		 polygonal vertex is required. Inverse stereographic
		 projection of a plane curve Y to a space curve Y' on
		 a unit sphere: multiple-contact circles to Y lift to
		 circles on the sphere which are cut out by
		 multiple-contact planes for Y'.}
}

@InProceedings{Giblin91Local,
  author =	{P. J. Giblin and F. Tari},
  title = 	{Local Reflexional and Rotational Symmetry in the Plane},
  pages = 	{154--171},
  booktitle =	{Singularity Theory and its Applications: {W}arwick, 1989},
  editor =	{D. Mond and J. Montaldi},
  publisher = 	{Springer Verlag},
  year = 	1991,
  volume = 	1462,
  series = 	{Lecture Notes in Mathematics Series},
  note = 	{Pt. 1. Geometric Aspects of Singularities.},
  keywords =	{Duals of Symmetry & Rotational sets.}
}

@Article{Giblin93,
  author =	"P. Giblin and T. Banchoff",
  title =	"Symmetry sets of piecewise circular curves",
  journal =	"Proceedings of the Royal Society of Edinburgh",
  year =	"1993",
  volume =	"123A",
  pages =	"1135--1149"}

@InProceedings{Giblin99CVPR,
  author = 	 "P. J. Giblin and B. B. Kimia",
  title = 	 "On the Intrinsic Reconstruction of Shape from its
		  Symmetries",
  OPTeditor = 	 "",
  OPTvolume = 	 "",
  pages =	 "79--84",
  booktitle =	 "Proc. of CVPR",
  year =	 "1998",
  organization = "IEEE Computer Society",
  OPTpublisher = "",
  OPTaddress = 	 "",
  OPTmonth = 	 "",
  OPTannote = 	 ""
}

@InProceedings{Giblin99ICCV,
  author = 	 "P. J. Giblin and B. B. Kimia",
  title = 	 "On the Local Form and Transitions of Symmetry Sets,
		  and Medial Axes, and Shocks in {2D}",
  OPTeditor = 	 "",
  OPTvolume = 	 "",
  pages =	 "385--391",
  booktitle =	 "Proc. of ICCV",
  year =	 "1999",
  organization = "IEEE Computer Society",
  OPTpublisher = "",
  address =	 "Greece",
  month =	 "September",
  OPTannote = 	 ""
}

@InProceedings{Giblin00CVPR,
  author = 	 "P. J. Giblin and B. B. Kimia",
  title = 	 "On the Local Form of Symmetry Sets, and Medial
		  Axes, and Shocks in {3D}",
  OPTeditor = 	 "",
  OPTvolume = 	 "",
  pages =	 "566--573",
  booktitle =	 "Proc. of CVPR",
  year =	 "2000",
  organization = "IEEE Computer Society",
  OPTpublisher = "",
  OPTaddress = 	 "",
  OPTmonth = 	 "",
  OPTannote = 	 ""
}

@InProceedings{Giblin02,
  author =	{P. J. Giblin and B. B. Kimia},
  title =	{Transitions of the 3{D} Medial Axis Under a One-Parameter
                 Family of Deformations},
  booktitle =	{ECCV},
  year =	{2002},
  pages =	{718--724}, 
}


%%%%%%%%

@Article{Banchoff87Global,
  author = 	{T. F. Banchoff and P. J. Giblin},
  title = 	{Global Theorems for Symmetry Sets of Smooth Curves
		 and Polygons in the Plane},
  journal = 	PRoySocEdin,
  year = 	1987,
  volume = 	{106 A},
  OPTnumber = 	"",
  pages = 	{221--231},
  OPTmonth = 	"",
  OPTnote = 	""
}

@Book{Halliman99,
  author = 	 "P. L. Halliman and G. G. Gordon and A. L. Yuille and
		  P. Giblin and D. Mumford",
  title = 	 "Two- and Three-Dimensional Patterns of the Face",
  publisher = 	 "A. K. Peters",
  year = 	 "1999",
  OPTeditor = 	 "",
  OPTvolume = 	 "",
  OPTseries = 	 "",
  address =	 "Natick, MA, USA",
  OPTnote = 	 "270 pages",
}

@Article{Wright95Skel,
  author = 	 "M.W. Wright and R. Cipolla and P.J. Giblin",
  title = 	 "Skeletonization using an Extended {E}uclidean
		  Distance Transform",
  journal =	 "Image and Vision Computing",
  year =	 "1995",
  volume =	 "13",
  number =	 "5",
  pages =	 "367--375",
  month =	 "June",
  OPTnote = 	 "",
}