"Only one thing is impossible for God: to find any sense
in any copyright law on the planet."
Mark Twain
Eva R. Toussaint and Godfried T. Toussaint, "What is a pattern?" Proceedings of Bridges: Mathematics,
Music, Art, Architecture, Culture, Gwacheon National Science
Museum, Seoul, Korea, August 14-19, 2014, pp. 293-300.
Godfried T. Toussaint and Juan F. Beltran, "Subsymmetries
predict auditory and visual pattern complexity," Perception, Vol. 42, November 2013,
pp. 1095-1100.
Godfried T. Toussaint, Luke Matthews, Malcolm Campbell, and
Naor Brown, "Measuring musical
rhythm similarity: Transformation versus feature-based methods,"
Journal of Interdisciplinary
Music Studies, Vol. 6, Issue 1, Spring 2012, pp. 23-53.
Godfried T. Toussaint and Constantin Berzan, "Proximity-graph instance-based
learning, support vector machines, and high dimensionality: An
empirical comparison," Proceedings
of the Eighth International Conference on Machine Learning and Data
Mining, July 16-19, 2012, Berlin, Germany. P. Perner (Ed.): MLDM
2012, LNAI 7376, pp. 222–236, 2012. Springer-Verlag Berlin Heidelberg.
Godfried T. Toussaint, Malcolm Campbell, and Naor Brown, "Computational models of symbolic rhythm
similarity: Correlation with human judgments," Analytical Approaches to World Music
Journal, Vol. 1, No. 2, 2011.
Yang Liu and Godfried T. Toussaint, "Mathematical notation, representation,
and visualization of musical rhythm: A comparative perspective,"
Proceedings
of the 2010 International Conference on Computer and Computational
Intelligence, Nanning, China, December 25-26, 2010, Vol. 1, pp.
28-32.
Godfried T. Toussaint, Malcolm Campbell, and Naor Brown, "Modeling rhythm similarity: Experiments
with Afro-Cuban timelines," Second
Meeting of the Northeast
Music Cognition Group, (NEMCOG), Department of Music, Yale
University,
New Haven, CT, May 1st, 2010.
Zachary Abel, David Charlton, Sebastien Collette,
Erik D.
Demaine, Martin L. Demaine, Stefan Langerman, Joseph O'Rourke, Val
Pinciu,
and Godfried Toussaint, "Cauchy's arm lemma on a
growing sphere," Los Alamos Eprint Archive, April 7,
2008
at 08:49:47 GM. (Cite as: arXiv:0804.0986v1 [cs.CG]).
Justin Colannino, Mirela Damian, Ferran
Hurtado,
Stefan Langerman,
Henk Meijer, Suneeta Ramaswami, Diane Souvaine, and Godfried T.
Toussaint,
"Efficient many-to-many point matching in one
dimension," Graphs
and Combinatorics", Vol. 23, June 2007, supplement, Computational
Geometry
and Graph Theory, The Akiyama-Chvatal Festschrift. The original
publication
is available at www.springerlink.com.
Godfried T. Toussaint, "Interlocking
rhythms, duration interval content, cyclotomic sets, and the
haxachordal
theorem," Fourth International Workshop on Computational
Music
Theory, Universidad Politecnica de Madrid, Escuela Universitaria de
Informatica, July 24-28, 2006 (Abstract only).
Greg Aloupis, Thomas Fevens, Stefan Langerman,
Tomomi Matsui,
Antonio Mesa, Yurai Nunez, David Rappaport and Godfried Toussaint, "Algorithms
for computing geometric measures of melodic similarity," Computer
Music Journal, Vol. 30, No. 3, Fall 2006, pp. 67-76. A preliminary
extended abstract is available via the following links.
Binay Bhattacharya, Kaustav Mukherjee and
Godfried
T. Toussaint,
"Geometric decision rules for instance-based
learning
algorithms," Proceedings Pattern Recognition and Machine
Intelligence:
First International Conference, S. K. Pal et al., (Eds.): LNCS
3776,
Kolkata, India, December, 20-22, 2005, pp. 60-69.
Godfried Toussaint, "The
geometry
of musical rhythm," Proceedings of the Japan Conference on
Discrete
and Computational Geometry, (JCDCG 2004), LNCS 3742,
Springer-Verlag,
Berlin-Heidelberg, 2005, pp. 198-212.
Justin Colannino and Godfried T. Toussaint, "A
faster algorithm for computing the link distance between two point sets
on the real line," School of
Computer Science, McGill University,
Technical Report SOCS-TR-2005.5, September 2005.
Godfried T. Toussaint, "The
Euclidean
algorithm generates traditional musical rhythms," Proceedings
of BRIDGES: Mathematical Connections in Art, Music, and Science,
Banff,
Alberta, Canada, July 31 to August 3, 2005, pp. 47-56.
Jose-Miguel Diaz-Banez, Giovanna Farigu,
Francisco
Gomez,
David Rappaport, and Godfried Toussaint, "Similaridad
y evolucion en la ritmica del flamenco: una uncursion de la matematica
computational," La Gaceta de la Real Sociedad de
Matematica
Espanola, La Columna de Matematica Computacional de Tomas Recio,
Vol.
8.2, 2005, pp. 489-509 (in Spanish).
Godfried Toussaint, "Mathematical
features
for recognizing preference in Sub-Saharan African traditional rhythm
timelines," 3rd
International Conference on Advances in Pattern Recognition,
University
of Bath, Bath, United Kingdom, August 22-25, 2005, pp. 18-27.
Justin Colannino and Godfried Toussaint, "Faster
algorithms for computing distances between one-dimensional point sets,"
Proceedings
of the XI Encuentros de Geometria Computacional, Editors: Francisco
Santos and David Orden, Servicio de Publicaciones de la Universidad de
Cantabria, Santander, Spain, June 27-29, 2005, pp. 189-198.
Justin Colannino and Godfried Toussaint, "An
algorithm for computing the restriction scaffold assignment
problem
in computational biology," Information Processing Letters,
Volume 95, Issue 4, August, 2005, pp. 466-471.
Binay Bhattacharya, Kaustav Mukherjee and
Godfried
T. Toussaint,
"Geometric decision rules for high dimensions,"
Proceedings
of the 55th Session of the International Statistics Institute,
Sydney,
Australia, April 5-12, 2005 (invited paper).
Godfried T. Toussaint, "Computational
geometric aspects of musical rhythm," Abstracts of the 14th
Annual
Fall Workshop on Computational Geometry, Massachussetts Institute
of
Technology, November 19-20, 2004, pp. 47-48.
Jose-Miguel Diaz-Banez, Giovanna Farigu,
Francisco
Gomez,
David Rappaport, and Godfried Toussaint, "Analisis
filogenetico del compas flamenco," Proceedings
of
XXXII Congreso Internacional de Arte Flamenco, Mairena del Alcor,
Sevilla,
Spain, September, 2004 (invited paper in Spanish).
Godfried T. Toussaint, "A
comparison of rhythmic similarity measures," Proceedings
of ISMIR 2004: 5th International Conference on Music Information
Retrieval, Universitat
Pompeu Fabra, Barcelona, Spain, October 10-14, 2004, pp. 242-245. A
longer
version appeared in: School of Computer Science, McGill University,
Technical
Report SOCS-TR-2004.6, August 2004.
Greg Aloupis, Erik Demaine, Stefan Langerman,
Pat
Morin,
Joseph O'Rourke, Ileana Streinu and Godfried Toussaint, "Unfolding
polyhedral bands," Proceedings
of the Sixteeth Canadian Conference on Computational Geometry,
(CCCG'04),
Concordia University, Montreal, August 9-11, 2004, pp. 60-63.
Miguel Diaz-Banez, Giovanna Farigu, Francisco
Gomez, David
Rappaport, and Godfried T. Toussaint, "El
compas flamenco: A phylogenetic analysis," Proceedings
of BRIDGES: Mathematical Connections in Art, Music, and Science,
Southwestern College, Winfield, Kansas, July 30 to August 1, 2004, pp.
61-70.
Greg Aloupis, Thomas Fevens, Stefan Langerman,
Tomomi Matsui,
Antonio Mesa, Yurai Nunez, David Rappaport and Godfried Toussaint, "Computing
a geometric measure of the similarity between two melodies," Proceedings
of the 15th Canadian Conference on Computational Geometry,"
Dalhousie
University, Halifax, Nova Scotia, Canada, August 11-13, 2003, pp. 81-84.
Ferran Hurtado, Godfried T. Toussaint, and Joan
Trias, "On
polyhedra induced by point sets in space," Proceedings of
the
15th Canadian Conference on Computational Geometry," Dalhousie
University,
Halifax, Nova Scotia, Canada, August 11-13, 2003, pp. 107-110.
David Bremner, Erik Demaine, Jeff Erickson,
John
Iacono,
Stefan Langerman, Pat Morin, and Godfried Toussaint, "Output-sensitive
algorithms for computing nearest-neighbour decision boundaries,"
Algorithms
and Data Structures, F. Dehne, J.-R. Sack and M. Smid (Eds.), 8th
International
Workshop, July 30 - August 1, 2003, Ottawa, Ontario, Canada,
Springer-Verlag,
LNCS 2748, pp. 451-461, 2003.
Discrete and Computational Geometry version (accepted in 2004) PDF
file
Godfried T. Toussaint, "Classification
and phylogenetic analysis of African ternary rhythm timelines,"
Extended version of paper that appeared in: Proceedings of BRIDGES:
Mathematical Connections in Art, Music, and Science, University of
Granada, Granada, Spain July 23-27, 2003, pp. 25-36.
Godfried T. Toussaint, "Algorithmic,
geometric, and combinatorial problems in computational music theory,"
Extended version of paper that appeared in: Proceedings of X
Encuentros
de Geometria Computacional, University of Sevilla, Sevilla, Spain
June
16-17, 2003, pp. 101-107.
H. Bronnimann, J. Iacono, J. Katajainen, P.
Morin,
J. Morrison
and G. T. Toussaint, "Space-efficient planar
convex
hull algorithms," Theoretical Computer Science, in
press,
2003.
J. Antonio Sellares and Godfried T. Toussaint, "On
the role of kinesthetic thinking in computational geometry," Journal
of Mathematical Education in Science and Technology, Vol. 34, No.
2,
2003, pp. 219-237.
Elsa Omaña-Pulido and Godfried T.
Toussaint,
"Aperture-angle
optimization problems in 3 dimensions," Journal of
Mathematical
Modelling and Algorithms, Vol. 1, 2002, pp. 301-329.
Benjamin Marlin and Godfried Toussaint, "Constructing
convex 3-polytopes from two triangulations of a polygon," Proceedings
of the 14th Canadian Conference on Computational Geometry ,
University
of Lethbridge, Lethbridge, Alberta, August 12-14, 2002, pp. 36-39.
Greg Aloupis, Erik D. Demaine, Henk Meijer,
Joseph
O'Rourke,
Ileana Streinu and Godfried T. Toussaint, "On
flat-state
connectivity of chains with fixed acute angles," Proceedings
of the 14th Canadian Conference on Computational Geometry ,
University
of Lethbridge, Lethbridge, Alberta, August 12-14, 2002, pp. 27-30.
Greg Aloupis, Prosenjit Bose, Erik D. Demaine,
Stefan Langerman,
Henk Meijer, Mark Overmars and Godfried T. Toussaint, "Computing
signed permutations of polygons," Proceedings of the 14th
Canadian
Conference on Computational Geometry , University of Lethbridge,
Lethbridge,
Alberta, August 12-14, 2002, pp. 68-71.
Michael Soss and Godfried T. Toussaint, "Convexifying
polygons in 3D: a survey," in Physical Knots: Knotting,
Linking,
and Folding Geometric Objects in R3, AMS Special Session on Physical
Knotting,
Linking, and Unknotting, Editors, Jorge A. Calvo, Keneth
Millett,
and Eric Rawdon, published by the American Mathematical
Society,
Contemporary Mathematics Vol. 304, 2002, pp. 269-285.
Godfried T. Toussaint, "A
mathematical
analysis of African, Brazilian, and Cuban clave rhythms,"
Proceedings
of BRIDGES: Mathematical Connections in Art, Music and Science, Townson
University, Towson, MD,July 27-29, 2002, pp. 157-168. Also the
long version is Technical Report SOCS-02.2, May 2002.
Godfried T. Toussaint, "Simple
proofs of a geometric property of four-bar linkages," American
Mathematical Monthly, Vol. 110, No. 6, June-July 2003, pp.
482-494.
Also Tech. Report # SOCS-01.4, School of Computer Science, McGill
University,
April 12, 2001.
H. Bronnimann, J. Iacono, J. Katajainen, P.
Morin,
J. Morrison
and G. T. Toussaint, "Optimal in-place planar
convex
hull algorithms," Proceedings of Latin American
Theoretical INformatics,
LATIN2002, Cancun, Mexico, April 3-6, 2002, pp. 494-507.
Oswin Aichholzer, Carmen Cortes, Erik Demaine,
Vida
Dujmovic,
Jeff Erickson, Henk Meijer, Mark Overmars, Belen Palop, Suneeta
Ramaswami,
and Godfried Toussaint, "Flipturning
polygons," Discrete and
Computational
Geometry, Vol. 28, 2002, pp. 231-253.
J. Antoni Sellares and Godfried T. Toussaint, "On
the role of kinesthetic thinking in computational geometry,"
Technical Report IIiA 02-02-RR, Institut d'Informàtica i
Aplicacions,
Universitat de Girona, Spain, February 19, 2002.
Francisco Gomez, Ferran Hurtado, J. A. Sellares
and
Godfried
T. Toussaint, "Nice perspetive projections,"
Journal
of Visual Communication and Image Representation, Vol. 12, No. 4,
2001,
pp. 387-400.
Greg Aloupis, Stefan Langerman, Michael Soss
and
Godfried
T. Toussaint, "On the computation of the
bivariate
median and the Fermat-Toricelli problem for lines," Proceedings
of the Thirteenth Canadian Conference on Computational Geometry, (extended
abstract), University of Waterloo, August 13-15, 2001, pp. 21-24.
See
also: Tech. Report # SOCS-01.2, School of Computer Science, McGill
University,
February 28, 2001.
Prosenjit Bose, Michael E. Houle and Godfried
T.
Toussaint,
"Every set of disjoint line segments admits a
binary
tree," Discrete and Computational Geometry, Vol. 26,
No.
3, August 2001, pp. 387-410.
Oswin Aicholzer, Erik D. Demaine, Jeff
Erickson,
Ferran Hurtado,
Mark Overmars, Michael Soss and Godfried T. Toussaint, "Reconfiguring
convex polygons," Computational Geometry: Theory and
Applications, Vol.
20, Numbers 1-2, October 2001, pp. 85-95.
Greg Aloupis, Carmen Cortes, Francisco Gomez,
Michael Soss
and Godfried T. Toussaint, "Lower bounds for
computing
statistical depth," Computational Statistics and Data
Analysis,
Vol. 40, 2002, pp. 223-229. Also Tech. Report # SOCS-01.1, School of
Computer
Science, McGill University, February 22, 2001.
Godfried T. Toussaint, "A
new class of stuck unknots in Pol-6," Contributions
to Algebra and Geometry, Vol. 42, No. 2,2001, pp.
301-306.
Also: Tech. Report No. SOCS-99.1, School of Computer Science, McGill
University,
April 10, 1999.
Thomas Fevens, Antonio
Hernandez,
Antonio Mesa, Patrick Morin, Michael Soss and Godfried T. Toussaint, "Simple
polygons with an infinite sequence of deflations," Contributions
to Algebra and Geometry, Vol. 42, No. 2, 2001, pp. 307-311. Also:
manuscript,
School of Computer Science, McGill University, June 9, 2000.
Jorge Alberto Calvo, Danny
Krizanc, Pat
Morin, Michael Soss and Godfried T. Toussaint, "Convexifying
polygons with simple projections," Information Processing
Letters,
Vol. 80, No. 2, 2001, pp. 81-86. Also Technical Report SOCS-00.4, July
2000.
Francisco Gomez, Ferran Hurtado, Toni Sellares
and
Godfried
Toussaint, "On degeneracies removable by
perspective
projections," International Journal of Mathematical
Algorithms,
Vol. 2, 2001, pp. 227-248.
Godfried T. Toussaint, "Advances
in
computational geometry for document analysis," Proceedings
Fourth
International Workshop on Document Analysis Systems (DAS'2000), Rio
de Janeiro, Brazil, December 10-13, 2000, pp. 25-40.
Ferran Hurtado, Vera Sacristan and Godfried T.
Toussaint,
"Some constrained minimax and maximim location
problems," Studies
in Locational Analysis, Special Issue on Computational Geometry in
Locational
Analysis, Guest Editor: Juan Mesa, Issue No. 15, December 2000, pp.
17-35.
Prosenjit Bose and Godfried T. Toussaint, "Computing
the constrained Euclidean, geodesic and link centers of a simple
polygon
with applications," Studies in Locational Analysis, Special
Issue
on Computational Geometry in Locational Analysis, Guest Editor:
Juan
Mesa, Issue No. 15, December 2000, pp. 37-66.
Oswin Aichholzer, Carmen Cortes, Erik Demaine,
Vida
Dujmovic,
Jeff Erickson, Henk Meijer, Mark Overmars, Belen Palop, Suneeta
Ramaswami,
and Godfried Toussaint, "Flipturning
polygons," Proc. of the Japan
Conference
on Discrete and Computational Geometry (JCDCG 2000), Tokay
University,
Tokyo, Japan, November 22-25, 2000, pp. 107-108.
Prosenjit Bose, Suneeta Ramaswami, Godfried
Toussaint and
Alain Turki," Experimental results on
quadrangulations
of sets of fixed points," Computer Aided Geometric Design,
accepted for publication April 23, 2002. Also: Techical Report
SOCS-00.6,
School of Computer Science, McGill University, September 2000.
Oswin Aichholzer, Erik D. Demaine, Jeff
Erickson,
Ferran
Hurtado, Mark Overmars, Michael A. Soss, and Godfried Toussaint, "Reconfiguring
convex polygons," Proc. 12th Annual Canadian Conference on
Computational
Geometry (CCCG 2000), Fredericton, New Brunswick, Canada, August
16-18,
2000, pp. 17-20.
Francisco Gomez, Ferran Hurtado, Suneeta
Ramaswami,
Vera
Sacristan, and Godfried Toussaint, "Implicit
convex
polygons," Journal of Mathematical Modelling and Algorithms,
Vol. 1, 2002, pp. 57-85. Also: Technical Report #SOCS-00.5, School of
Computer
Science, McGill University, July, 2000.
Godfried T. Toussaint,
"The
complexity of computing nice viewpoints of objects in space," Keynote
Address, Vision Geometry IX, Proc. SPIE International
Symposium
on Optical Science and Technology, 30 July to 4 August 2000, San
Diego,
California.
Michael Soss and Godfried
T.
Toussaint,
"Geometric and computational aspects of polymer
reconfiguration," Journal
of Mathematical Chemistry, Vol. 27, No. 4, September 2000, pp.
303-318.
Also: Technical Report No. SOCS-00.2, School of Computer Science,
McGill
University, May 4, 2000.
Godfried T. Toussaint,
"The
Erdos-Nagy theorem and its ramifications," Proc. 11th
Canadian
Conference on Computational Geometry, Vancouver, Canada, August
16-18
1999, pp. 9-12. Long version available at: http://www.cs.ubc.ca/conferences/CCCG.
Also: Technical Report No. SOCS-99.2, School of Computer Science,
McGill
University, June 18, 1999.
Godfried T. Toussaint, "Computational
polygonal entanglement theory," Proceedings VIII Encuentros
de
Geometria Computacional, July 7-9,1999, Castellon, Spain.
Therese Biedl, Erik
Demaine,
Martin
Demaine, Sylvain Lazard, Anna Lubiw, Joseph O'Rourke, Marc Overmars,
Steve
Robbins, Ileana Streinu, Godfried Toussaint and Sue Whitesides, "Locked
and unlocked polygonal chains in 3D, "Proc. Tenth ACM-SIAM
Symposium
on Discrete Algorithms, (SODA'99), Baltimore, Maryland, USA,
January
17-19, 1999. Also Discrete and Computational Geometry, Vol. 26,
No. 3, August 2001, pp. 269-281.
Francisco Gomez, Suneeta Ramaswami and Godfried
T.
Toussaint,
"On removing non-degeneracy assumptions in
computational
geometry," Proceedings of the Italian Conference on
Algorithms,
March 12-14, 1997, Rome, Italy, pp. 52-63. (updated version)
Francisco Gomez, Ferran Hurtado, Toni Sellares
and
Godfried
Toussaint, "Perspective projections and removal
of
degeneracies," Proc. Tenth Canadian Conference on
Computational
Geometry, Montreal, Quebec, Canada, August 9-12, 1998.
Therese Biedl, Erik Demaine, Martin Demaine,
Anna
Lubiw and
Godfried Toussaint, "Hiding disks in folded
polygons"Proc.
Tenth Canadian Conference on Computational Geometry, Montreal,
Quebec,
Canada, August 9-12, 1998.
Prosenjit Bose, Ferran Hurtado, Henk Meijer,
Suneeta Ramaswami,
David Rappaport, Vera Sacristan, Tom Shermer and Godfried Toussaint, "Finding
specified sections of arrangements: 2D results," Proc. Tenth
Canadian Conference on Computational Geometry, Montreal, Quebec,
Canada,
August 9-12, 1998.
Therese Biedl, Erik Demaine, Martin Demaine,
Sylvain Lazard,
Anna Lubiw, Joseph O'Rourke, Steve Robbins, Ileana Streinu, Godfried
Toussaint
and Sue Whitesides, "On reconfiguring tree
linkages:
Trees can lock, "Proc. Tenth Canadian Conference on
Computational
Geometry, Montreal, Quebec, Canada, August 9-12, 1998.
Prosenjit Bose, Ferran Hurtado-Diaz, Elsa
Omaña-Pulido,
Jack Snoeyink and Godfried T. Toussaint, "Some
aperture-angle
optimization problems," Algorithmica, accepted for
publication
in June 2001.
Suneeta Ramaswami, Pedro Ramos and Godfried T.
Toussaint,
"Converting triangulations to quadrangulations,"
Computational
Geometry: Theory and Applications, Vol. 9, March 1998, pp. 257-276.
Prosenjit Bose and Godfried T. Toussaint, "Characterizing
and efficiently computing quadrangulations of planar point sets,"
Computer
Aided Geometric Design, vol. 14, 1997, pp. 763-785.
Boudewijn Asberg, Gregoria Blanco, Prosenjit
Bose,
Jesus
Garcia-Lopez, Mark Overmars, Godfried Toussaint, Gordon Wilfong and
Binhai
Zhu, "Feasibility of design in stereolithography,"
Algorithmica,
Special Issue on Computational Geometry in Manufacturing, vol. 19, No.
1/2, Sept/Oct, 1997, pp. 61-83.
Prosenjit Bose, Thomas Shermer, Godfried T.
Toussaint and
Binhai Zhu, "Guarding polyhedral terrains,"
Computational
Geometry: Theory and Applications, vol. 7, No. 3, February 1997,
pp.
173-186.
Prosenjit Bose and Godfried T. Toussaint, "Computing
the constrained Euclidean, geodesic and link centers of a simple
polygon
with applications," Proceedings of Computer Graphics
International (CGI'96),
Pohang, Korea, June 24-28, 1996.
Gregoria Blanco, Hazel Everett, Jesus
Garcia-Lopez
and Godfried
T. Toussaint, "Illuminating the free space
between
quadrilaterals with point light sources," Computer Graphics,
Eds., M. Gigante and T. L. Kunii, Proc. Computer Graphics
International
1994, Melbourne, Australia, 27 June- 1 July, 1994, World
Scientific,
1996.
David Avis, Prosenjit Bose, Thomas Shermer,
Jack
Snoeyink,
Godfried T. Toussaint and Binhai Zhu, "On the
sectionsl
area of convex polytopes," short version appeared in Proc.
12th
ACM Symposium on Computational Geometry, Philadelphia, May 24-26,
1996,
pp. C11-C12.
Prosenjit Bose, David Bremner and Godfried T.
Toussaint,
"All convex polyhedra can be clamped with
parallel
jaw grippers," Computational Geometry: Theory and
Applications,
vol. 6, 1996, pp. 291-302.
Prosenjit Bose, Francisco
Gomez, Pedro
Ramos and Godfried T. Toussaint, "Drawing nice
projections
of objects in space," Proceedings of Graph Drawing'95,
Passau,
Germany, September 1995, pp. 52-63. (This is an expanded version of the
paper that appeared in the conference proceedings)
Godfried T. Toussaint, "Quadrangulations
of planar sets," Proceedings of 4th International Workshop
on
Algorithms and Data Structures (WADS'95), invited paper, August
16-18,
1995, pp. 218-227.
Prosenjit Bose and Godfried T. Toussaint, "Geometric
and computational aspects of gravity casting," Computer-Aided
Design, vol. 27, No. 6, June 1995, pp. 455-464.
Prosenjit Bose and Godfried T. Toussaint, "Computational
geometry for CAD/CAM," Proceedings of the Pacific Conference
on Computer Graphics and Applications, Beijing, China, August
26-29,
1994, pp. 279-291.
Godfried T. Toussaint, "A
counter-example
to a fast algorithm for finding the convex hull of a simple polygon,"
Computer
Aided Drafting, Design and Manufacturing, vol. 4, No. 2, December
1994,
pp. 1-4.
Godfried T. Toussaint, "A
counter-example
to Tomek's consistency theorem for a condensed nearest neighbor
decision
rule," Pattern Recognition Letters, vol. 15, August
1994,
pp. 797-801.
Chuzo Iwamoto and Godfried T. Toussaint, "Finding
Hamiltonian circuits in arrangements of Jordan curves is NP-Complete,"
Information
Processing Letters, vol. 52, 1994, pp. 183-189.
Godfried T. Toussaint, "Computational
geometry for document analysis," Third Annual Symposium on
Document
Analysis and Information Retrieval, Alexis Park Hotel, Las Vegas,
Nevada,
April 11-13, 1994, pp. 23-42.
Hossam ElGindy, Hazel Everett and Godfried T.
Toussaint,
"Slicing an ear in linear time," Pattern
Recognition Letters, vol. 14, September 1993, pp. 719-722.
Jerzy W.
Jaromczyk
and Godfried
T. Toussaint, "Relative neighborhood graphs and
their
relatives," Proc. IEEE, vol. 80, No. 9, September, 1992,
pp. 1502-1517.
Binay
K.
Bhattacharya
Hazel Everett and Godfried T. Toussaint, "A
counterexample
to a dynamic algorithm for convex hulls of line arrangements," Pattern
Recognition Letters, vol. 12, March 1991, pp. 145-147.
Godfried T. Toussaint, "Computing
morphological properties of arrangements of lines," Proc.
2nd
Japan International Symposium of the Society for the Advancement of
Materials
and Process Engineering, Chiba, Japan, December 11-14, 1991, pp.
1406-1411.
Godfried T. Toussaint, "Computational
geometry and computer vision," in Vision Geometry,
Contemporary
Mathematics, vol. 119, American Mathematical Society, 1991, pp. 213-224.
Thomas M. Shermer and Godfried T. Toussaint, "Characterizations
of convex and star-shaped polygons," Tech. Report No.
SOCS-92.18,
December 1992, McGill University.
David Rappaport, Hiroshi Imai and Godfried T.
Toussaint,
"Computing simple circuits from a set of line
segments," Discrete
and Computational Geometry, vol. 5, 1990, pp. 289-304.
Jean-Marc Robert and Godfried T. Toussaint, "Computational
geometry and facility location," Proc. International Conf.
on
Operations Research and Management Science," Manila, The
Philippines,
Dec. 11-15, 1990, pp. B-1 to B-19.
Xianshu Kong, Hazel Everett and Godfried T.
Toussaint, "The
Graham scan triangulates simple polygons," Pattern
Recognition
Letters, vol. 11, November 1990, pp. 713-716.
Binay K. Bhattacharya, David G. Kirkpatrick and
Godfried
T. Toussaint, "Determining sector visibility of a
polygon," Proceedings Fifth Annual ACM Symposium on
Computational
Geometry, Saarbrucken, Germany, June 5-7, 1989, pp. 247-253.
Michael E. Houle and Godfried T. Toussaint, "Computing
the width of a set," IEEE Transactions on Pattern Analysis
and
Machine Intelligence, vol. 10, No. 5, September, 1988, pp. 761-765.
Thomas Shermer and Godfried T. Toussaint, "A
new characterization of L-convex polygons," in Snapshots of
Computational
and Discrete Geometry, Ed., G. T. Toussaint, Tech. Report
SOCS-88.11,
June, 1988, pp. 37-41.
Godfried T. Toussaint, "Computational
geometry and morphology," Science
on Form: Proceedings of the First International Symposium for Science
on Form, Editors: S. Ishizaka, Y. Kato, R. Takaki, and J.
I. Toriwaki, KTK Scientific Publishers, Tokyo, 1986, pp.
395-403.
Godfried T.
Toussaint,
"Movable separability of sets," in Computational
Geometry, Ed., G. T. Toussaint, North-Holland, 1985, pp. 335-375.
This
paper is a tutorial survey of research results obtained before 1985
related
to disassembly and interlocking puzzles in two and three dimensions.
This
area is sometimes called local motion planning.
Mary M. McQueen and Godfried T. Toussaint, "On
the ultimate convex hull algorithm in practice," Pattern
Recognition
Letters, vol. 3, January, 1985, pp. 29-34.
Godfried T. Toussaint, "On
the role of logical, visual and kinesthetic thinking in geometry,"
a preliminary version of this paper was presented at the Conference
on Thinking, Harvard University, August 1984.
Godfried T. Toussaint, Binay K. Bhattacharya
and
Ronald S.
Poulsen, "The application of Voronoi diagrams to
non-parametric decision rules," Proc. 16th Symposium on
Computer
Science and Statistics: The Interface, Atlanta, Georgia, March
14-16,
1984, pp. 97-108.
Godfried T. Toussaint, "An
optimal
algorithm for computing the minimum vertex distance between two
crossing
convex polygons," Computing, vol. 32, 1984, pp. 357-364.
Binay K. Bhattacharya and Godfried T.
Toussaint, "Efficient
algorithms for computing the maximum distance between two finite planar
sets," Journal of Algorithms, vol. 4, 1983, pp. 121-136.
Godfried T. Toussaint, Book
Review
of "Progress in Pattern Recognition", Eds. L. Kanal and A.
Rozenfeld,
North-Holland, 1981, in IEEE Transactions on Information Theory,
Vol. IT-29, No. 5, September 1983, pp. 779-780.
Godfried T. Toussaint, "Solving
geometric
problems with the rotating calipers," Proceedings of IEEE
MELECON'83,
Athens, Greece, May 1983, pp. A10.02/1-4.
Godfried T. Toussaint and Jim A. McAlear, "A
simple O(n log n) algorithm for finding the maximum distance between
two
finite planar sets," Pattern Recognition Letters, vol.
1,
October 1982, pp. 21-24.
Godfried T. Toussaint and Binay K.
Bhattacharya, "Optimal
algorithms for computing the minimum distance between two finite planar
sets," Proc. Fifth International Congress of Cybernetics and
Systems, Mexico City, August 1981.
David Avis and Godfried T. Toussaint, "An
optimal algorithm for determining the visibility of a polygon from an
edge," IEEE
Transactions on Computers, vol. C-30, No. 12, December 1981, pp.
910-914.
David Avis and
Godfried T.
Toussaint,
"An efficient algorithm for decomposing a polygon
into star-shaped polygons," Pattern Recognition, vol.
13,
No. 6, 1981, pp. 395-398.
Godfried T. Toussaint, "The
relative neighbourhood graph of a finite planar set," Pattern
Recognition, Vol. 12, 1980, pp. 261-268. Winner of an Outstanding
Paper Award given by the Pattern
Recognition Society.
Godfried T. Toussaint, "The
use of
context in pattern recognition," Pattern Recognition,
Vol.
10, 1978, pp. 189-204. Winner of the Best
Paper
of the Year Award given by the Pattern
Recognition Society.
Melvin Cohen and Godfried T. Toussaint, "On
the detection of structures in noisy pictures," Pattern
Recognition,
Vol. 9, 1977, pp. 95-98. (line and circle detection with the Hough
transform
to optimally compensate for random noise)
Jack Koplowitz and Godfried T. Toussaint, "A
unified theory of coding schemes for the efficient transmission of line
drawings," Extended version of: Proceedings of the 1976 IEEE
Conference on Communications and Power, Montreal, October 1976, pp.
205-208.
Godfried T. Toussaint, "Sharper
lower
bounds for discrimination information in terms of variation," IEEE
Transactions on Information Theory, January 1975, pp. 99-100.
Godfried T. Toussaint, "On
the divergence
between two distributions and the probability of misclassification of
several
decision rules," Proceedings Second International Joint
Conference
on Pattern Recognition, August 13-15, 1974, Copenhagen, Denmark,
pp.
27-35.
Godfried T. Toussaint, "Comments
on
a modified figure of merit for feature selection in pattern recognition,"
IEEE
Transactions on Information Theory, Vol. IT-17, September 1971, pp.
618-620.
Godfried T. Toussaint, "Note
on optimal
selection of independent binary-valued features for pattern recognition,"
IEEE
Transactions on Information Theory, Vol. IT-17, September 1971, p.
618.