Publications
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)
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.2024.52
2023
Planar Sections of a Surface Close to an Umbilic
Giblin, P., & Pukhlikov, A. (2023). Planar Sections of a Surface Close to an Umbilic. Arnold Mathematical Journal, 9(4), 481-503. doi:10.1007/s40598-022-00222-1
107.40 Four points, six distances
Giblin, P. (2023). 107.40 Four points, six distances. The Mathematical Gazette, 107(570), 517-523. doi: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
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.2023.135
Bitangent planes of surfaces and applications to thermodynamics
Giblin, P., & Reeve, G. (2023). Bitangent planes of surfaces and applications to thermodynamics. JOURNAL OF GEOMETRY AND PHYSICS, 192. doi:10.1016/j.geomphys.2023.104920
Trifocal Relative Pose From Lines at Points
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.2022.3226165
Bitangent planes of surfaces and applications to thermodynamics
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.)
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.2022.153
Linear algebra for everyone by Gilbert Strang, pp 368, £49.99 (hard), ISBN 978-1-73314-663-0, Cambridge University Press (2020)
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.2022.159
Contact With Circles and Euclidean Invariants of Smooth Surfaces in Double-struck capital R<SUP>3</SUP>
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/haab058
CONTACT OF CIRCLES WITH SURFACES: ANSWERS TO A QUESTION OF MONTALDI
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)
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.2021.141
Camera Pose Estimation Using First-Order Curve Differential Geometry.
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.2020.2985310
Contact with circles and Euclidean invariants of smooth surfaces in R^3
2020
Equidistants for families of surfaces
Reflexion maps and geometry of surfaces in R^4
Equidistants for families of surfaces
Giblin, P., & Reeve, G. (2020). Equidistants for families of surfaces. Journal of Singularities, 21, 97-118. doi:10.5427/jsing.2020.21f
REFLEXION MAPS AND GEOMETRY OF SURFACES IN R<SUP>4</SUP>
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.2020.21e
Symmetrization of convex plane curves
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.a15
Symmetrization of convex plane curves
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.a16
TRPLP – Trifocal Relative Pose From Lines at Points
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) (pp. 12070-12080). IEEE. doi: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).
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.2019.132
103.12 A note on Problem 101.F
Giblin, P. (2019). 103.12 A note on Problem 101.F. The Mathematical Gazette, 103(556), 154-155. doi: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).
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.2019.36
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).
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.2018.100
The story of calculus by David Acheson, pp. 192, £11.99 (hard), ISBN 978-0-19-880454-3, Oxford University Press (2017).
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.2018.83
Equidistants and their duals for families of plane curves
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).
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.2017.168
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).
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.2017.157
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).
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.2017.114
Bifurcation sets of families of reflections on surfaces in R<SUP>3</SUP>
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/S0308210516000184
2016
A numerate life by John Allen Paulos, pp. 206, £13.99 (paper), ISBN 978-1-63388-118-1, Prometheus Books (2015).
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.2016.133
Single digits
Giblin, P. J. (2016). Single digits. MATHEMATICAL GAZETTE, 100(549), 548-549. doi: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).
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.2016.90
Applications of Singularity Theory and 3D Modelling in Arts and Retail
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_34
Local Features in Natural Images via Singularity Theory
Damon, J., Giblin, P., & Haslinger, G. (2016). Local Features in Natural Images via Singularity Theory. Springer International Publishing. doi:10.1007/978-3-319-41471-3
2015
CENTRE SYMMETRY SETS OF FAMILIES OF PLANE CURVES
Giblin, P., & Reeve, G. (2015). CENTRE SYMMETRY SETS OF FAMILIES OF PLANE CURVES. DEMONSTRATIO MATHEMATICA, 48(2), 167-192. doi:10.1515/dema-2015-0016
Centre symmetry sets of families of plane curves
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-201-0016
2014
Evolving Evolutoids
Giblin, P. J., & Warder, J. P. (2014). Evolving Evolutoids. AMERICAN MATHEMATICAL MONTHLY, 121(10), 871-889. doi:10.4169/amer.math.monthly.121.10.871
98.25 An ancient approximation to the sine function
Giblin, P. (2014). 98.25 An ancient approximation to the sine function. The Mathematical Gazette, 98(543), 488-490. doi: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)).
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/s0025557200001108
Reviews - Unexpected expectations, Leonard M. Warner. Pp. 204. £24.69 (hardback). 2012. ISBN 978-1-56881-721-7 (CRC Press).
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/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).
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/s0025557200006343
Reviews - Remembering Sofya Kovalevskya, by Michéle Audin. Pp. 284. £35.99. 2011 ISBN: 978-0-85729-928-4 (Springer-Verlag).
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/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).
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/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).
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/s0025557200004368
Generic equi-centro-affine differential geometry of plane curves
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.2011.09.022
Geometry of curves and surfaces through the contact map
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.2011.09.021
Preface
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.2011.09.010
Camera Pose Estimation Using First-Order Curve Differential Geometry
Fabbri, R., Kimia, B. B., & Giblin, P. J. (2012). Camera Pose Estimation Using First-Order Curve Differential Geometry. In Lecture Notes in Computer Science (pp. 231-244). Springer Berlin Heidelberg. doi:10.1007/978-3-642-33765-9_17
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).
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/s0025557200003855
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.
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/s0025557200003880
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).
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/s002555720000262x
Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: II
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:10.1137/090771053
Reconstruction from Medial Representations
P. J. Giblin., & J. P. Warder. (2011). Reconstruction from Medial Representations. The American Mathematical Monthly, 118(8), 712. doi:10.4169/amer.math.monthly.118.08.712
2010
Recountings: Conversations with MIT mathematicians, ed. Joel Segel, pp. 441. $49-00 (hbk). 2009. ISBN: 978-1-56881-449-0 (A. K. Peters).
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/s0025557200002023
The map of my life, by Goro Shimura. pp. 211, £19.99 (hardback). 2008. ISBN 978-0-387-79714-4 (Springer).
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/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).
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/s0025557200007415
2009
Bifurcations of affine equidistants
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/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).
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/s002555720018547x
Transitions of the 3D medial axis under a one-parameter family of deformations.
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.2008.120
Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: I
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/s11263-008-0182-0
Three-dimensional arm movements at constant equi-affine speed.
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.2008.03.010
2008
Local Forms and Transitions of the Medial Axis
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_2
2007
Recognition of centre symmetry set singularities
Giblin, P. J., & Zakalyukin, V. M. (2007). Recognition of centre symmetry set singularities. Geometriae Dedicata, 130(1), 43-58. doi:10.1007/s10711-007-9204-2
Vertices and inflexions of plane sections of surfaces in ℝ3
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
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/s10851-006-8372-2
Matching 2D Shapes using the Symmetry Set
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
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) (pp. 179-182). IEEE. doi:10.1109/icpr.2006.782
Vertices and Inflexions of Plane Sections of Surfaces in ℝ3
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_7
2005
Level sets of functions and symmetry sets of smooth surface sections
A panoramic view of Riemannian geometry, by Marcel Berger. Pp. 824. £46.00. 2003. ISBN 3 540 65317 1 (Springer-Verlag).
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/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).
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/s0025557200177150
Geometry of Isophote Curves
Diatta, A., & Giblin, P. (2005). Geometry of Isophote Curves. In Unknown Conference (pp. 50-61). Springer Berlin Heidelberg. doi:10.1007/11408031_5
Geometry of isophote curves
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
Diatta, A., Giblin, P., Guilfoyle, B., & Klingenberg, W. (2005). Level Sets of Functions and Symmetry Sets of Surface Sections. In Lecture Notes in Computer Science (pp. 147-160). Springer Berlin Heidelberg. doi:10.1007/11537908_9
Level sets of functions and symmetry sets of surface sections
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
Diatta, A., & Giblin, P. (2005). Pre-symmetry Sets of 3D Shapes. In Unknown Conference (pp. 36-48). Springer Berlin Heidelberg. doi:10.1007/11577812_4
Singularities of centre symmetry sets
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/s0024611504014923
2004
Area-Based Medial Axis of Planar Curves.
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.d0
A formal classification of 3D medial axis points and their local geometry.
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.2004.1262192
Consistency Conditions on the Medial Axis
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_42
From a 2D Shape to a String Structure Using the Symmetry Set
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_25
Towards surface regularization via medial axis transitions
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. (pp. 123-126 Vol.3). IEEE. doi:10.1109/icpr.2004.1334484
2003
Giblin, P. J. (2003). Unknown Title. International Journal of Computer Vision, 54(1/2), 143-156. doi: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).
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/s0025557200173383
On the intrinsic reconstruction of shape from its symmetries
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.2003.1206518
`Affine distance symmetry sets'
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'
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).
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:10.2307/3621635
Transitions of the 3D Medial Axis under a One-Parameter Family of Deformations
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_48
2001
Zigzags
Giblin, P. J. (2001). Zigzags. Mathematics Magazine, 74(4), 259-272. doi:10.1080/0025570x.2001.11953075
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).
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:10.2307/3622067
Elementary differential geometry, by Andrew Pressley. Springer Undergraduate Mathematics Series. Pp. 332. £18.95. 2001. ISBN 1 85233 152 6 (Springer).
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/s0025557200168664
Elementary differential geometry, by Andrew Pressley. Springer Undergraduate Mathematics Series. Pp. 332. £18.95. 2001. ISBN 1 85233 152 6 (Springer).
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:10.2307/3622071
On the computation of the affine skeletons of planar curves and the detection of skew symmetry
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)00045-5
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).
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:10.2307/3620533
‘Mathematical explorations with MATLAB (Russian Translation)
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
Betelu, S., Sapiro, G., Tannenbaum, A., & Giblin, P. J. (2000). Noise-Resistant Affine Skeletons of Planar Curves. In Lecture Notes in Computer Science (pp. 742-754). Springer Berlin Heidelberg. doi:10.1007/3-540-45054-8_48
Singularities of families of chords
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
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_18
1999
Åström, K., Cipolla, R., & Giblin, P. (1999). Unknown Title. International Journal of Computer Vision, 33(1), 51-72. doi:10.1023/a:1008113231241
Families of surfaces: focal sets, ridges and umbilics
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/s0305004198003004
On the local form and transitions of symmetry sets, medial axes, and shocks
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 (pp. 385-391 vol.1). IEEE. doi:10.1109/iccv.1999.791246
1998
Apparent contours: an outline
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.1998.0212
Giblin, P. J., & Sapiro, G. (1998). Unknown Title. Geometriae Dedicata, 71(3), 237-261. doi:10.1023/a:1005099011913
1997
Cipolla, R., Fletcher, G., & Giblin, P. (1997). Unknown Title. International Journal of Computer Vision, 23(2), 115-129. doi:10.1023/a:1007920028712
Affine-Invariant Symmetry Sets
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_11
1996
Convex hulls, occluding contours, aspect graphs and the Hough transform
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)01100-6
Ridges, crests and sub-parabolic lines of evolving surfaces
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/bf00123141
Parabolic curves of evolving surfaces
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/bf00128235
Beyond the Hough transform: Further properties of the Rθ mapping and their applications
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 Lecture Notes in Computer Science (pp. 361-380). Springer Berlin Heidelberg. doi:10.1007/3-540-61750-7_37
Class based reconstruction techniques using singular apparent contours
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/bfb0015527
Generalised epipolar constraints
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_130
1995
Skeletonization using an extended Euclidean distance transform
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-e
Epipolar curves on surfaces
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-q
Perpendicular bisectors, duality and local symmetry of plane curves
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/s0308210500030821
1994
Recovery of an unknown axis of rotation from the profiles of a rotating surface
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.11.001976
On the Geometry of Piecewise Circular Curves
Banchoff, T., & Giblin, P. (1994). On the Geometry of Piecewise Circular Curves. The American Mathematical Monthly, 101(5), 403-416. doi:10.1080/00029890.1994.11996965
Epipolar fields on surfaces
Giblin, P. J., & Weiss, R. S. (1994). Epipolar fields on surfaces. In Lecture Notes in Computer Science (pp. 14-23). Springer Berlin Heidelberg. doi:10.1007/3-540-57956-7_2
1993
Symmetry sets of piecewise-circular curves
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/s0308210500029784
1992
Human Recovery of Shape from Profiles
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.19.65
1991
Local reflexional and rotational symmetry in the plane
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/bfb0086379
1990
The Bitangent Sphere Problem
Giblin, P. J., & O'Shea, D. B. (1990). The Bitangent Sphere Problem. The American Mathematical Monthly, 97(1), 5-23. doi:10.1080/00029890.1990.11995539
1989
The information available to a moving observer from specularities
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)90018-8
1988
On the geometry of a surface and its singular profiles
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)90012-1
The Information Available to a Moving Observer from Specularities
Zisserman, A., Giblin, P., & Blake, A. (1988). The Information Available to a Moving Observer from Specularities. In Procedings of the Alvey Vision Conference 1988 (pp. 26.1-26.6). Alvey Vision Club. doi:10.5244/c.2.26
1987
Generic isotopies of space curves
Bruce, J. W., & Giblin, P. J. (1987). Generic isotopies of space curves. Glasgow Mathematical Journal, 29(1), 41-63. doi:10.1017/s0017089500006650
Global theorems for symmetry sets of smooth curves and polygons in the plane
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/s0308210500018369
1986
Growth, motion and 1-parameter families of symmetry sets
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/s030821050001917x
1985
Local Symmetry of Plane Curves
Giblin, P. J., & Brassett, S. A. (1985). Local Symmetry of Plane Curves. The American Mathematical Monthly, 92(10), 689-707. doi:10.1080/00029890.1985.11971717
Symmetry sets
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/s0308210500026263
1984
Generic 1-parameter families of caustics by reflexion in the plane
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/s0305004100062332
Caustics through the looking glass
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/bf03024207
1983
Caustics by reflexion in the extended plane
Bruce, J. W., Giblin, P. J., & Gibson, C. G. (1983). Caustics by reflexion in the extended plane. Geometriae Dedicata, 15(2). doi:10.1007/bf00147762
Generic Geometry
Bruce, J. W., & Giblin, P. J. (1983). Generic Geometry. The American Mathematical Monthly, 90(8), 529-545. doi:10.1080/00029890.1983.11971276
1982
Generic Curves and Surfaces II
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/s2-26.1.174
Source genericity of caustics by reflexion in R <sup>3</sup>
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.1982.0060
Specializations of complex quartic curves
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/s0305004100059235
On caustics by reflexion
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)90004-0
Recognizing singularities of surfaces in ℂP<sup>3</sup>
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/s0305004100059077
1981
On Caustics of Plane Curves
Bruce, J. W., Giblin, P. J., & Gibson, C. G. (1981). On Caustics of Plane Curves. The American Mathematical Monthly, 88(9), 651-667. doi:10.1080/00029890.1981.11995337
1980
On real simple singularities
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/s0305004100057571
1974
Herszberg's Singularities, I
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/s3-28.3.547
1969
Topology of Double Points of Rank Zero on Threefolds in C<sup>4</sup>
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/s1-44.1.523