Peter Giblin
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British mathematician
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Why Is Peter Giblin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Peter John Giblin is an English mathematician whose primary research involves singularity theory and its application to geometry, computer vision, and computer graphics. Giblin is an emeritus professor of mathematics at the University of Liverpool where he has served on staff for more than 40 years. His positions at Liverpool have included Head of Department , and Head of Division .
Peter Giblin's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Curves and Singularities (1986) (528)
- Curves and singularities : a geometrical introduction to singularity theory (1992) (333)
- The visual motion of curves and surfaces (1998) (267)
- Graphs, surfaces, and homology (1977) (263)
- Two- and Three-Dimensional Patterns of the Face (2001) (220)
- 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). (2001) (170)
- Reconstruction of Surfaces from Profiles (1987) (168)
- A formal classification of 3D medial axis points and their local geometry (2004) (146)
- The information available to a moving observer from specularities (1989) (119)
- On the Local Form and Transitions of Symmetry Sets, Medial Axes, and Shocks (1999) (115)
- Motion from the frontier of curved surfaces (1995) (100)
- Local Symmetry of Plane Curves (1985) (90)
- Symmetry sets (1985) (86)
- On the intrinsic reconstruction of shape from its symmetries (1999) (84)
- Growth, motion and 1-parameter families of symmetry sets (1986) (70)
- Graphs, surfaces, and homology : an introduction to algebraic topology (1977) (67)
- SINGULARITIES OF CAUSTICS AND WAVE FRONTS (1991) (65)
- Generalised Epipolar Constraints (1996) (51)
- Families of surfaces: Height functions, Gauss maps and duals (1995) (50)
- On caustics of plane curves (1981) (49)
- A formal classification of 3D medial axis points and their local geometry (2000) (48)
- Affine-Invariant Distances, Envelopes and Symmetry Sets (1998) (45)
- Three-dimensional arm movements at constant equi-affine speed (2009) (44)
- Skeletonization using an extended Euclidean distance transform (1995) (43)
- Singularities of Centre Symmetry Sets (2005) (42)
- Recovery of an unknown axis of rotation from the profiles of a rotating surface (1994) (41)
- Projections of Surfaces with Boundary (1990) (39)
- Ridges, crests and sub-parabolic lines of evolving surfaces (1996) (36)
- The centre symmetry set (1999) (35)
- A Stratification of the Space of Plane Quartic Curves (1981) (34)
- Families of surfaces: focal sets, ridges and umbilics (1999) (31)
- Symmetry Sets and Medial Axes in Two and Three Dimensions (2000) (30)
- Epipolar Fields on Surfaces (1994) (29)
- Affine-invariant symmetry sets (1997) (29)
- Outlines and Their Duals (1985) (28)
- On the Geometry of Piecewise Circular Curves (1994) (27)
- Affinely invariant symmetry sets (2008) (27)
- Epipolar curves on surfaces (1995) (25)
- Families of surfaces: height functions and projections to planes (1998) (25)
- What is an envelope? (1981) (24)
- Evolving Evolutoids (2014) (23)
- On caustics by reflexion (1982) (22)
- Mathematical Explorations with MATLAB (1999) (22)
- Area-Based Medial Axis of Planar Curves (2004) (21)
- Parabolic curves of evolving surfaces (1996) (19)
- Transitions of the 3D Medial Axis under a One-Parameter Family of Deformations (2002) (19)
- Bifurcations of affine equidistants (2009) (18)
- The bitangent sphere problem (1990) (17)
- Towards surface regularization via medial axis transitions (2004) (17)
- Recognition of centre symmetry set singularities (2007) (16)
- Surface geometry from cusps of apparent contours (1995) (16)
- Global theorems for symmetry sets of smooth curves and polygons in the plane (1987) (16)
- From a 2D Shape to a String Structure Using the Symmetry Set (2004) (16)
- Primes and programming - an introduction to number theory with computing (1993) (15)
- TRPLP – Trifocal Relative Pose From Lines at Points (2020) (15)
- Generic 1-parameter families of caustics by reflexion in the plane (1984) (14)
- Apparent contours: an outline (1998) (13)
- Geometry of curves and surfaces through the contact map (2012) (13)
- Alternative 2D Shape Representations using the Symmetry Set (2006) (13)
- Affine invariant medial axis and skew symmetry (1998) (12)
- Caustics through the looking glass (1984) (12)
- On the geometry of a surface and its singular profiles (1988) (12)
- Camera Pose Estimation Using First-Order Curve Differential Geometry (2012) (12)
- Centre Symmetry Sets of Families of Plane Curves (2015) (11)
- Microcomputers and Mathematics (1990) (11)
- Geometry by discovery , by David Gay. Pp. 410. £29.95. 1998. ISBN 0 471 04177 7 (Wiley). (1999) (10)
- Orthogonal Sets and Polar Methods in Linear Algebra (2000) (10)
- SOURCE GENERICITY OF CAUSTICS BY REFLEXION IN THE PLANE (1982) (10)
- Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: I (2009) (10)
- Human Recovery of Shape from Profiles (1992) (10)
- ONE-PARAMETER FAMILIES OF CAUSTICS BY REFLEXION IN THE PLANE (1984) (10)
- Smooth stable maps of discriminant varieties (1985) (9)
- Generic Curves and Surfaces II (1981) (9)
- Local Forms and Transitions of the Medial Axis (2008) (9)
- Curves and singularities: More on unfoldings (1992) (8)
- Matching 2D Shapes using their Symmetry Sets (2006) (8)
- Local Features in Natural Images via Singularity Theory (2016) (8)
- Source genericity of caustics by reflexion in R3 (1982) (7)
- Following Cusps (1997) (7)
- Moving Surfaces (1992) (7)
- What is an Asymptote? (1972) (6)
- Symmetry sets of piecewise-circular curves (1993) (6)
- Singularities of Families of Chords (2002) (6)
- Report of the ALCAB panel on mathematics and further mathematics (2014) (6)
- Local reflexional and rotational symmetry in the plane (1991) (6)
- Zigzags (2001) (6)
- Reconstruction from Medial Representations (2011) (6)
- Topology of Double Points of Rank Zero on Threefolds in C4 (1969) (6)
- On the computation of the affine skeletons of planar curves and the detection of skew symmetry (2001) (5)
- On real simple singularities (1980) (5)
- Perpendicular bisectors, duality and local symmetry of plane curves (1995) (5)
- Geometry of Isophote Curves (2005) (5)
- Vertices and Inflexions of Plane Sections of Surfaces in ℝ3 (2005) (5)
- Generic equi-centro-affine differential geometry of plane curves (2012) (5)
- Noise-Resistant Affine Skeletons of Planar Curves (2000) (5)
- Generic isotopies of space curves (1987) (4)
- Pre-symmetry Sets of 3D Shapes (2005) (4)
- Level Sets of Functions and Symmetry Sets of Surface Sections (2005) (4)
- Mathematical Explorations with MATLAB: Ke Chen, Peter Giblin, Alan Irving (1999) (4)
- CAUSTICS BY REFLEXION IN THE PLANE WITH STABLE TRIPLE CROSSINGS (1986) (4)
- 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). (2009) (3)
- 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). (2017) (3)
- Graphs, Surfaces and Homology: Closed surfaces (2010) (3)
- Elementary differential geometry , by Andrew Pressley. Springer Undergraduate Mathematics Series. Pp. 332. £18.95. 2001. ISBN 1 85233 152 6 (Springer). (2001) (3)
- Challenge on merseyside (1986) (3)
- Recognizing singularities of surfaces in ℂP3 (1982) (3)
- Two-Parameter Families of Plane Caustics by Reflexion (1985) (3)
- Class Based Reconstruction Techniques Using Singular Apparent Contours (1996) (3)
- Methods for Topological Classification of Singularities (2016) (2)
- 103.12 A note on Problem 101.F (2019) (2)
- Specializations of complex quartic curves (1982) (2)
- Matrices and Solution of Linear Systems (1999) (2)
- Mathematical Explorations with MATLAB: How to Get Solution M-files (1999) (2)
- Symmetric and almost symmetric polygons (1997) (2)
- Skeletonisation using an Extended Euclidean Distance Transformation (1994) (2)
- A pr 2 00 5 Level sets of functions and symmetry sets of smooth surface sections (2005) (2)
- A panoramic view of Riemannian geometry , by Marcel Berger. Pp. 824. £46.00. 2003. ISBN 3 540 65317 1 (Springer-Verlag). (2005) (2)
- Equidistants for families of surfaces (2020) (2)
- An elementary approach to generic properties of plane curves (1984) (2)
- Arthur Geoffrey Walker 1909–2001 (2004) (2)
- Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: II (2011) (2)
- Animal groups in three dimensions , edited by J. K. Parrish and W. M. Hamner. Pp. 378. £60. 1997. ISBN 0 521 46024 7 (Cambridge University Press). (1999) (2)
- 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). (2001) (2)
- Affine-Distance symmetry sets (2003) (2)
- Caustics in Extended Euclidean Space (1984) (2)
- Genericity of caustics by reflexion (1983) (1)
- Curves and singularities: Introductory example: a gravitational catastrophe machine (1992) (1)
- Microcomputers and Mathematics: Numbers: Part 1 (1990) (1)
- The essentials of CAGD , by Gerald Farin and Dianne Hansford. Pp. 229. £33.00 2000. ISBN 1 56881 123 3 (A. K. Peters). (2002) (1)
- Contact with circles and Euclidean invariants of smooth surfaces in R^3 (2021) (1)
- Beyond the Hough Transform: Further Properties of the R-theta Mapping and Their Applications (1996) (1)
- On geometry of the midlocus associated to a smooth curve in plane and space (2018) (1)
- Bifurcation sets of families of reflections on surfaces in ℝ3 (2017) (1)
- Curves and singularities: Regular values and smooth manifolds (1992) (1)
- Trifocal Relative Pose From Lines at Points (2023) (1)
- Caustics by reflexion in the extended plane (1983) (1)
- Numbers: Part 2 (1990) (1)
- Equidistants and their duals for families of plane curves (2017) (1)
- Consistency Conditions on the Medial Axis (2004) (1)
- Cusps on Wheels on Wheels on Wheels (1998) (1)
- Reviews (2012) (0)
- Graphs and Curves (1999) (0)
- Mathematical Explorations with MATLAB: References (1999) (0)
- Iteration of real functions (1990) (0)
- MATLAB Command Summary (1999) (0)
- The visual motion of curves and surfaces - Discussion (1998) (0)
- Mathematical Explorations with MATLAB: Checkout Queues: Long or Short (1999) (0)
- Computer graphics in geometry courses (1985) (0)
- Methods for Classification of Singularities (2016) (0)
- [no title] (1999) (0)
- Mathematical Explorations with MATLAB: Permutations (1999) (0)
- Linear algebra for everyone by Gilbert Strang, pp 368, £49.99 (hard), ISBN 978-1-73314-663-0, Cambridge University Press (2020) (2022) (0)
- List of All M-files Supplied (1999) (0)
- 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). (2003) (0)
- Mathematical Explorations with MATLAB: Sequences of Real Numbers (1999) (0)
- 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). (2010) (0)
- Mathematical Explorations with MATLAB: Matrices and Complex Numbers (1999) (0)
- Reviews (1991) (0)
- Reviews (2010) (0)
- Mathematical explorations with MATLAB (Russian Translation) (2001) (0)
- Reviews. Divided spheres, Edward S. Popko, Pp. 509. £44.99. 2012, ISBN 978-1-4665-0429-5 (CRC Press (an A.K.Peters Book)). (2014) (0)
- 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). (2018) (0)
- Curves and singularities: Curves, and functions on them (1992) (0)
- Selected MATLAB Resources on the Internet (1999) (0)
- Classifying views of illuminated surfaces (2004) (0)
- 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). (2013) (0)
- Mathematical Explorations with MATLAB: Fish Farming (1999) (0)
- Statements of the Main Classification Results (2016) (0)
- Zigzags and Fast Curves (1999) (0)
- Microcomputers and Mathematics: Curves: Part 2 (1990) (0)
- Elementary Problems: E2962-E2967 (1982) (0)
- Some general theorems (1977) (0)
- Singular points, several variables, generic surfaces (1992) (0)
- 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). (2017) (0)
- A numerate life by John Allen Paulos, pp. 206, £13.99 (paper), ISBN 978-1-63388-118-1, Prometheus Books (2015). (2016) (0)
- Reviews (2011) (0)
- 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). (2011) (0)
- Curves and singularities: Unfoldings: applications (1992) (0)
- The story of calculus by David Acheson, pp. 192, £11.99 (hard), ISBN 978-0-19-880454-3, Oxford University Press (2017). (2018) (0)
- Mathematical Explorations with MATLAB: Ordinary Differential Equations (1999) (0)
- The map of my life, by Goro Shimura. pp. 211, £19.99 (hardback). 2008. ISBN 978-0-387-79714-4 (Springer). (2010) (0)
- Contact of circles with surfaces: Answers to a question of Montaldi (2022) (0)
- Recovering shape from the profiles of a rotating surface (1991) (0)
- Homology modulo 2 (1977) (0)
- Galois Theory (second edition) by David A. Cox, pp. 570, £51.50 (hard), ISBN 978-1-118-07205-9, Wiley (2012). (2016) (0)
- The question of invariance (1977) (0)
- Reviews (2014) (0)
- Mathematical Explorations with MATLAB: Function Interpolations and Approximation (1999) (0)
- Curves: Part 1 (1990) (0)
- Parallels (1982) (0)
- Transitions Involving Views of Geometric Features (FC) (2016) (0)
- Mathematical Explorations with MATLAB: Symbolic Calculations within MATLAB (1999) (0)
- SINGULARITIES IN GENERIC GEOMETRY AND ITS APPLICATIONS : VALENCIA V Talks and abstracts 1 PLENARY TALKS (0)
- Recountings: Conversations with MIT mathematicians, ed. Joel Segel, pp. 441. $49-00 (hbk). 2009. ISBN: 978-1-56881-449-0 (A. K. Peters). (2010) (0)
- 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.) (2022) (0)
- Mathematical Explorations with MATLAB: Magic Squares (1999) (0)
- Noise-Resistant A ne Skeletons of Planar Curves (2000) (0)
- Mathematical Explorations with MATLAB: Graphics: Curves and Envelopes (1999) (0)
- The simple book of not-so-simple puzzles, by Serhiy Grabarchuk, Peter Grabarchuk and Serhiy Grabarchuk Jr.. Pp. 105. £11.95. 2008. ISBN 978-1-56881-418-6 (A. K. Peters). (2009) (0)
- Reviews. Cinderella (Version 2): Interactive eeometry package , by Ulrich Kortenkamp, €49.00 for single user licence, 2007. Available for download at www.cinderella.de. (2011) (0)
- Stable view projections and transitions involving shade/shadow curves on a smooth surface (SC) (2016) (0)
- Apparent Contours for Projections of Smooth Surfaces (2016) (0)
- Transitions Involving Geometric Features and Shade/Shadow Curves (SFC) (2016) (0)
- 2 5 Fe b 20 05 Vertices and inflexions of plane sections of smooth surfaces in R 3 (2005) (0)
- Recent work on symmetry sets and medial axes of curves and surfaces (2004) (0)
- Bitangent planes of surfaces and applications to thermodynamics (2023) (0)
- Curves and singularities: More about functions (1992) (0)
- Stratifications of Generically Illuminated Surfaces with Geometric Features (2016) (0)
- Generic properties of curves (1992) (0)
- Families of spheres (1988) (0)
- Reviews (2014) (0)
- Mathematical Explorations with MATLAB: Preface (1999) (0)
- 98.25 An ancient approximation to the sine function (2014) (0)
- Note on programs and machines (1990) (0)
- Curves and singularities: References (1992) (0)
- 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) (2021) (0)
- GCDs, Pseudoprimes and Miller's Test (1999) (0)
- Reviews (2011) (0)
- Curves and singularities: Appendix Null sets and Sard's theorem (1992) (0)
- Graphs in surfaces (1977) (0)
- Reviews. Remembering Sofya Kovalevskya, by Michéle Audin. Pp. 284. £35.99. 2011 ISBN: 978-0-85729-928-4 (Springer-Verlag). (2013) (0)
- 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). (2005) (0)
- Introduction to differential and algebraic topology , by Y. G. Borisovich, N. M. Bliznyakov, T. N. Fomenko and Y. A. Izrailevich. Pp. 494. £164. 1995. ISBN 0-7923-3499-X. (Kluwer). (1997) (0)
- Curves and singularities: Transversality (1992) (0)
- Differentiable manifolds (2nd edn), by Lawrence Conlon. Pp.418. £48.79. 2001. ISBN 0 8176 4134 3 (Birkhäuser). (2002) (0)
- 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). (2012) (0)
- Reviews. Unexpected expectations, Leonard M. Warner. Pp. 204. £24.69 (hardback). 2012. ISBN 978-1-56881-721-7 (CRC Press). (2014) (0)
- Applications of Singularity Theory and 3D Modelling in Arts and Retail (2016) (0)
- Symmetrization of convex plane curves (2020) (0)
- Pi-unleashed, by Jörg Arndt and Christoph Haenel, (translated from the German by Catriona and David Lischka). Pp. 270, with CD-ROM. £25.50. 2001. ISBN 3 540 66572 2 (Springer-Verlag). (2001) (0)
- 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). (2011) (0)
- Realizations of Abstract Mappings Representing Projection Singularities (2016) (0)
- 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). (2017) (0)
- Dynamics of Snowboating (1999) (0)
- On the Singularities of Two Related Hypersurfaces (1973) (0)
- Reviews (2013) (0)
- Curves and singularities: Unfoldings (1992) (0)
- Mathematical Explorations with MATLAB: Iterations for Nonlinear Equations (1999) (0)
- Planar Sections of a Surface Close to an Umbilic (2022) (0)
- Mathematical Explorations with MATLAB: Epidemics (1999) (0)
- Mathematical Explorations with MATLAB: Probability and Random Numbers (1999) (0)
- Mathematical Explorations with MATLAB: Whole Numbers (1999) (0)
- 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). (2012) (0)
- Single digits by Marc Chamberland, pp. 226, £18.95 (hard), ISBN 978-0-691-16114-3, Princeton University Press (2015). (2016) (0)
- Classifications of stable multilocal configurations and their generic transitions (2016) (0)
- Reflexion maps and geometry of surfaces in R^4 (2020) (0)
- Abstract classification of singularities preserving features (2016) (0)
- Mathematical Explorations with MATLAB: Differential and Difference Equations (1999) (0)
- ON REGULARITY CONDITIONS OVER EXCEPTIONAL UNIMODULAR FAMILIES OF SINGULARITIES (1981) (0)
- Mathematical Explorations with MATLAB: Representation of Data (1999) (0)
- 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). (2019) (0)
- Mathematical Explorations with MATLAB: Newton–Raphson Iteration and Fractals (1999) (0)
- 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). (2019) (0)
- Beyond the third dimension , by Thomas F. Banchoff. Pp. 210. £14.95 (paperback). 1996. ISBN 0-7167-5025-2 (hardback) -6015-0 (paperback) (Scientific American Library). (1997) (0)
- Families of spheres and circles (1988) (0)
- Sur les caustics par reflection (1980) (0)
- Reviews (2012) (0)
- Two more general theorems (1977) (0)
- Singularity Equivalence Groups Capturing Interactions (2016) (0)
- Herszberg's Singularities, I (1974) (0)
- Complex geometry, an introduction, by Daniel Huybrechts. Pp. 309. £38.50. 2005. ISBN 3 540 21290 6 (Springer-Verlag). (2007) (0)
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Peter Giblin is affiliated with the following schools:
