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Solid shape

Source

Pages: 699

Year of Publication: 1990

ISBN:0-262-11139-X

Author

Jan J. Koenderink

Publisher

MIT Press Cambridge, MA, USA

Bibliometrics

Downloads (6 Weeks): n/a, Downloads (12 Months): n/a, Citation Count: 99

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cited by index terms review collaborative colleagues

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CITED BY 99

	Duane W. Storti , George M. Turkiyyah , Mark A. Ganter , Chek T. Lim , Derek M. Stal, Skeleton-based modeling operations on solids, Proceedings of the fourth ACM symposium on Solid modeling and applications, p.141-154, May 14-16, 1997, Atlanta, Georgia, United States
	Fred L. Bookstein, Features of deformation grids: an approach via singularity theory, Proceedings of the fourteenth annual symposium on Computational geometry, p.214-221, June 07-10, 1998, Minneapolis, Minnesota, United States
	Kwan-Liu Ma , Victoria Interrante, Extracting feature lines from 3D unstructured grids, Proceedings of the 8th conference on Visualization '97, p.285-ff., October 18-24, 1997, Phoenix, Arizona, United States
	Benoit Dubuc , Steven W. Zucker, Complexity, Confusion, and Perceptual Grouping. Part I: The Curve-like Representation, Journal of Mathematical Imaging and Vision, v.15 n.1-2, p.55-82, July/October 2001
	Yutaka Ohtake , Alexander G. Belyaev, Dual/Primal mesh optimization for polygonized implicit surfaces, Proceedings of the seventh ACM symposium on Solid modeling and applications, June 17-21, 2002, Saarbrücken, Germany
	Victoria Interrante, Illustrating surface shape in volume data via principal direction-driven 3D line integral convolution, Proceedings of the 24th annual conference on Computer graphics and interactive techniques, p.109-116, August 1997
	Anthony J. Yezzi , Stefano Soatto, Deformotion: Deforming Motion, Shape Average and the Joint Registration and Approximation of Structures in Images, International Journal of Computer Vision, v.53 n.2, p.153-167, July 2003
	Przemyslaw Prusinkiewicz , Lars Mündermann , Radoslaw Karwowski , Brendan Lane, The use of positional information in the modeling of plants, Proceedings of the 28th annual conference on Computer graphics and interactive techniques, p.289-300, August 2001
	Sung-Il Pae , Jean Ponce, On Computing Structural Changes in Evolving Surfaces and their Appearance, International Journal of Computer Vision, v.43 n.2, p.113-131, July 1, 2001
	Ehud Sharlin , Yuichi Itoh , Benjamin Watson , Yoshifumi Kitamura , Steve Sutphen , Lili Liu, Cognitive cubes: a tangible user interface for cognitive assessment, Proceedings of the SIGCHI conference on Human factors in computing systems: Changing our world, changing ourselves, April 20-25, 2002, Minneapolis, Minnesota, USA
	Penny Rheingans, Dynamic color mapping of bivariate qualitative data, Proceedings of the 8th conference on Visualization '97, p.159-ff., October 18-24, 1997, Phoenix, Arizona, United States
	Frédo Durand, An invitation to discuss computer depiction, Proceedings of the 2nd international symposium on Non-photorealistic animation and rendering, June 03-05, 2002, Annecy, France
	P. Liang , C. H. Taubes, Orientation-Based Differential Geometric Representations for Computer Vision Applications, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.16 n.3, p.249-258, March 1994
	Bradley Lowekamp , Penny Rheingans , Terry S. Yoo, Exploring surface characteristics with interactive Gaussian images: a case study, Proceedings of the conference on Visualization '02, October 27-November 01, 2002, Boston, Massachusetts
	Alan P. Mangan , Ross T. Whitaker, Partitioning 3D Surface Meshes Using Watershed Segmentation, IEEE Transactions on Visualization and Computer Graphics, v.5 n.4, p.308-321, October 1999
	Simon M. Stringer , Edmund T. Rolls, Invariant object recognition in the visual system with novel views of 3D objects, Neural Computation, v.14 n.11, p.2585-2596, November 2002
	Torsten Langer , Alexander G. Belyaev , Hans-Peter Seidel, Asymptotic analysis of discrete normals and curvatures of polylines, Proceedings of the 21st spring conference on Computer graphics, May 12-14, 2005, Budmerice, Slovakia
	Zoran Duric , Azriel Rosenfeld, Shooting a smooth video with a shaky camera, Machine Vision and Applications, v.13 n.5-6, p.303-313, March 2003
	Philip L. Worthington , Edwin R. Hancock, Object Recognition Using Shape-from-Shading, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.23 n.5, p.535-542, May 2001
	Prabir Bhattacharya , Azriel Rosenfeld, Convexity properties of space curves, Pattern Recognition Letters, v.24 n.15, p.2509-2517, November 2003
	Doug DeCarlo , Adam Finkelstein , Szymon Rusinkiewicz , Anthony Santella, Suggestive contours for conveying shape, ACM Transactions on Graphics (TOG), v.22 n.3, July 2003
	Yutaka Ohtake , Alexander Belyaev , Hans-Peter Seidel, Ridge-valley lines on meshes via implicit surface fitting, ACM Transactions on Graphics (TOG), v.23 n.3, August 2004
	Sylvain Petitjean, A survey of methods for recovering quadrics in triangle meshes, ACM Computing Surveys (CSUR), v.34 n.2, p.211-262, June 2002
	Benoit Dubuc , Steven W. Zucker, Complexity, Confusion, and Perceptual Grouping. Part II: Mapping Complexity, Journal of Mathematical Imaging and Vision, v.15 n.1-2, p.83-116, July/October 2001
	Farshid Arman , J. K. Aggarwal, Model-based object recognition in dense-range images—a review, ACM Computing Surveys (CSUR), v.25 n.1, p.5-43, March 1993
	Kalle Åström , Roberto Cipolla , Peter Giblin, Generalised Epipolar Constraints, International Journal of Computer Vision, v.33 n.1, p.51-72, Sept. 1999
	Guillermo Sapiro , Albert Cohen , Alfred M. Bruckstein, A Subdivision Scheme for Continuous-Scale B-Splinesand Affine-Invariant Progressive Smoothing, Journal of Mathematical Imaging and Vision, v.7 n.1, p.23-40, Jan 1, 1997
	Luc Florack , Arjan Kuijper, The Topological Structure of Scale-Space Images, Journal of Mathematical Imaging and Vision, v.12 n.1, p.65-79, Feb. 2000
	Stephen M. Pizer , P. Thomas Fletcher , Sarang Joshi , Andrew Thall , James Z. Chen , Yonatan Fridman , Daniel S. Fritsch , A. Graham Gash , John M. Glotzer , Michael R. Jiroutek , Conglin Lu , Keith E. Muller , Gregg Tracton , Paul Yushkevich , Edward L. Chaney, Deformable M-Reps for 3D Medical Image Segmentation, International Journal of Computer Vision, v.55 n.2-3, p.85-106, November-December 2003
	Doug DeCarlo , Adam Finkelstein , Szymon Rusinkiewicz, Interactive rendering of suggestive contours with temporal coherence, Proceedings of the 3rd international symposium on Non-photorealistic animation and rendering, June 07-09, 2004, Annecy, France
	Elizabeth Guest , Elizabeth Berry , Richard A. Baldock , Márta Fidrich , Mike A. Smith, Robust Point Correspondence Applied to Two-and Three-Dimensional Image Registration, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.23 n.2, p.165-179, February 2001
	Ari D. Gross , Terrance E. Boult, Recovery of SHGCs From a Single Intensity View, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.18 n.2, p.161-180, February 1996
	Victoria Interrante , Henry Fuchs , Stephen M. Pizer, Conveying the 3D Shape of Smoothly Curving Transparent Surfaces via Texture, IEEE Transactions on Visualization and Computer Graphics, v.3 n.2, p.98-117, April 1997
	Alfons H. Salden , Bart M. Ter Haar Romeny , Max A. Viergever, Linearised Euclidean Shortening Flow of Curve Geometry, International Journal of Computer Vision, v.34 n.1, p.29-67, Sept. 1999
	Narendra Ahuja, A Transform for Multiscale Image Segmentation by Integrated Edge and Region Detection, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.18 n.12, p.1211-1235, December 1996
	Cemil Kirbas , Francis Quek, A review of vessel extraction techniques and algorithms, ACM Computing Surveys (CSUR), v.36 n.2, p.81-121, June 2004
	Jitendra Malik , Ruth Rosenholtz, Computing Local Surface Orientation and Shape from Texture forCurved Surfaces, International Journal of Computer Vision, v.23 n.2, p.149-168, June 1997
	Ilan Shimshoni , Ronen Basri , Ehud Rivlin, A Geometric Interpretation of Weak-Perspective Motion, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.21 n.3, p.252-257, March 1999
	Y.-H. R. Tsai , L.-T. Cheng , S. Osher , P. Burchard , G. Sapiro, Visibility and its dynamics in a PDE based implicit framework, Journal of Computational Physics, v.199 n.1, p.260-290, 1 September 2004
	Ernest M. Stokely , Shang You Wu, Surface Parametrization and Curvature Measurement of Arbitrary 3-D Objects: Five Practical Methods, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.14 n.8, p.833-840, August 1992
	Richard J. Howarth, Spatial Models for Wide-Area Visual Surveillance: Computational Approaches and Spatial Building-Blocks, Artificial Intelligence Review, v.23 n.2, p.97-155, April 2005
	D. W. Eggert , K. W. Bowyer , C. R. Dyer , H. I. Christensen , D. B. Goldgof, The Scale Space Aspect Graph, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.15 n.11, p.1114-1130, November 1993
	J. Y. Zheng, Acquiring 3-D Models from Sequences of Contours, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.16 n.2, p.163-178, February 1994
	Shin Yoshizawa , Alexander Belyaev , Hans-Peter Seidel, Fast and robust detection of crest lines on meshes, Proceedings of the 2005 ACM symposium on Solid and physical modeling, p.227-232, June 13-15, 2005, Cambridge, Massachusetts
	Simon Plantinga , Gert Vegter, Contour generators of evolving implicit surfaces, Proceedings of the eighth ACM symposium on Solid modeling and applications, June 16-20, 2003, Seattle, Washington, USA
	Mads Nielsen , Robert Maas , Wiro J. Niessen , Luc L. M. J. Florack , Bart M. Ter Haar Romeny, Binocular Stereo from Grey-Scale Images, Journal of Mathematical Imaging and Vision, v.10 n.2, p.103-122, March 1999
	Svetlana Lazebnik , Jean Ponce, The Local Projective Shape of Smooth Surfaces and Their Outlines, International Journal of Computer Vision, v.63 n.1, p.65-83, June 2005
	A. Kuijper, On detecting all saddle points in 2D images, Pattern Recognition Letters, v.25 n.15, p.1665-1672, November 2004
	Roberto Cipolla , Gordon Fletcher , Peter Giblin, Following Cusps, International Journal of Computer Vision, v.23 n.2, p.115-129, June 1997
	Nail A. Gumerov , Ali Zandifar , Ramani Duraiswami , Larry S. Davis, 3D Structure Recovery and Unwarping of Surfaces Applicable to Planes, International Journal of Computer Vision, v.66 n.3, p.261-281, March 2006
	Olga A. Karpenko , John F. Hughes, SmoothSketch: 3D free-form shapes from complex sketches, ACM Transactions on Graphics (TOG), v.25 n.3, July 2006
	Rodrigo L. Carceroni , Kiriakos N. Kutulakos, Multi-View Scene Capture by Surfel Sampling: From Video Streams to Non-Rigid 3D Motion, Shape and Reflectance, International Journal of Computer Vision, v.49 n.2-3, p.175-214, September-October 2002
	F. Mokhtarian , N. Khalili , P. Yuen, Estimation of Error in Curvature Computation on Multi-Scale Free-Form Surfaces, International Journal of Computer Vision, v.48 n.2, p.131-149, July 2002
	Stephen M. Pizer , Kaleem Siddiqi , Gabor Székely , James N. Damon , Steven W. Zucker, Multiscale Medial Loci and Their Properties, International Journal of Computer Vision, v.55 n.2-3, p.155-179, November-December 2003
	Douglas DeCarlo , Dimitri Metaxas, Blended Deformable Models, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.18 n.4, p.443-448, April 1996
	Mourad Zerroug , Ramakant Nevatia, Three-Dimensional Descriptions Based on the Analysis of the Invariant and Quasi-Invariant Properties of Some Curved-Axis Generalized Cylinders, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.18 n.3, p.237-253, March 1996
	Tomoya Sakai , Atsushi Imiya, Gradient Structure of Image in Scale Space, Journal of Mathematical Imaging and Vision, v.28 n.3, p.243-257, July 2007
	Frédéric Cazals , Jean-Charles Faugère , Marc Pouget , Fabrice Rouillier, The implicit structure of ridges of a smooth parametric surface, Computer Aided Geometric Design, v.23 n.7, p.582-598, October 2006
	Simon Plantinga , Gert Vegter, Computing contour generators of evolving implicit surfaces, ACM Transactions on Graphics (TOG), v.25 n.4, p.1243-1280, October 2006
	Alessandro Duci , Anthony Yezzi , Stefano Soatto , Kelvin Rocha, Harmonic Embeddings for Linear Shape Analysis, Journal of Mathematical Imaging and Vision, v.25 n.3, p.341-352, October 2006
	Szymon Rusinkiewicz , Doug DeCarlo , Adam Finkelstein, Line drawings from 3D models, ACM SIGGRAPH 2005 Courses, July 31-August 04, 2005, Los Angeles, California
	Haline E. Schendan , Marta Kutas, Time Course of Processes and Representations Supporting Visual Object Identification and Memory, Journal of Cognitive Neuroscience, v.15 n.1, p.111-135, January 2003
	Xianming Chen , Richard F. Riesenfeld , Elaine Cohen , James Damon, Theoretically-based algorithms for robustly tracking intersection curves of deforming surfaces, Computer-Aided Design, v.39 n.5, p.389-397, May, 2007
	Michael Kolomenkin , Ilan Shimshoni , Ayellet Tal, Demarcating curves for shape illustration, ACM Transactions on Graphics (TOG), v.27 n.5, December 2008
	L. Donati , N. Stolfi, Singularities of Illuminated Surfaces, International Journal of Computer Vision, v.23 n.3, p.207-216, June/July 1997
	Tanuja Joshi , Narendra Ahuja , Jean Ponce, Structure and Motion Estimation from Dynamic Silhouettes under Perspective Projection, International Journal of Computer Vision, v.31 n.1, p.31-50, Feb. 1999
	Sándor Fejes , Azriel Rosenfeld, Migration Processes I: The Continuous Case, Journal of Mathematical Imaging and Vision, v.8 n.1, p.5-25, Jan. 1998
	Benoit Dubuc , Steven W. Zucker, Complexity, Confusion, and Perceptual Grouping. Part I: The Curve-like Representation, International Journal of Computer Vision, v.42 n.1-2, p.55-82, April/May 2001
	Benoit Dubuc , Steven W. Zucker, Complexity, Confusion, and Perceptual Grouping. Part II: Mapping Complexity, International Journal of Computer Vision, v.42 n.1-2, p.83-115, April/May 2001
	Max A. Viergever, Computer Vision Research in Utrecht, International Journal of Computer Vision, v.31 n.2-3, p.107-110, April 1999
	James Damon , Peter Giblin , Gareth Haslinger, Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: I, International Journal of Computer Vision, v.82 n.1, p.25-47, April 2009
	Ryuji Miyazaki , Koichi Harada, Mesh construction based on differential surface property, Machine Graphics & Vision International Journal, v.15 n.2, p.197-210, January 2006
	Christopher D. Green, David W. Green and others, Cognitive Science: An Introduction, Minds and Machines, v.9 n.3, p.437-443, August 1999
	Victoria Interrante , Henry Fuchs , Stephen Pizer, Enhancing Transparent Skin Surfaces with Ridge and Valley Lines, Proceedings of the 6th conference on Visualization '95, p.52, October 29-November 03, 1995
	Arjan Kuijper , Luc M. J. Florack , Max A. Viergever, Scale Space Hierarchy, Journal of Mathematical Imaging and Vision, v.18 n.2, p.169-189, March 2003
	Hyun Soo Kim , Han Kyun Choi , Kwan H. Lee, Feature detection of triangular meshes based on tensor voting theory, Computer-Aided Design, v.41 n.1, p.47-58, January, 2009
	Jingyi Yu , Xiaotian Yin , Xianfeng Gu , Leonard McMillan , Steven Gortler, Focal surfaces of discrete geometry, Proceedings of the fifth Eurographics symposium on Geometry processing, July 04-06, 2007, Barcelona, Spain
	Klaus Hildebrandt , Konrad Polthier , Max Wardetzky, Smooth feature lines on surface meshes, Proceedings of the third Eurographics symposium on Geometry processing, July 04-06, 2005, Vienna, Austria
	Torsten Langer , Alexander Belyaev , Hans-Peter Seidel, Exact and interpolatory quadratures for curvature tensor estimation, Computer Aided Geometric Design, v.24 n.8-9, p.443-463, November, 2007
	Olga A. Karpenko , John F. Hughes, SmoothSketch: 3D free-form shapes from complex sketches, ACM SIGGRAPH 2007 courses, August 05-09, 2007, San Diego, California
	Natasha Gelfand , Niloy J. Mitra , Leonidas J. Guibas , Helmut Pottmann, Robust global registration, Proceedings of the third Eurographics symposium on Geometry processing, July 04-06, 2005, Vienna, Austria
	Giovanni Bellettini , Valentina Beorchia , Maurizio Paolini, Topological and Variational Properties of a Model for the Reconstruction of Three-Dimensional Transparent Images with Self-Occlusions, Journal of Mathematical Imaging and Vision, v.32 n.3, p.265-291, November 2008
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	Johan W. Tangelder , Remco C. Veltkamp, A survey of content based 3D shape retrieval methods, Multimedia Tools and Applications, v.39 n.3, p.441-471, September 2008
	David Knossow , Rémi Ronfard , Radu Horaud, Human Motion Tracking with a Kinematic Parameterization of Extremal Contours, International Journal of Computer Vision, v.79 n.3, p.247-269, September 2008
	Szymon Rusinkiewicz , Forrester Cole , Doug DeCarlo , Adam Finkelstein, Line drawings from 3D models, ACM SIGGRAPH 2008 classes, August 11-15, 2008, Los Angeles, California
	Szymon Rusinkiewicz , Forrester Cole , Doug DeCarlo , Adam Finkelstein, Line drawings from 3D models, ACM SIGGRAPH 2008 classes, August 11-15, 2008, Los Angeles, California
	Anupama Jagannathan , Eric. L. Miller, Three-Dimensional Surface Mesh Segmentation Using Curvedness-Based Region Growing Approach, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.29 n.12, p.2195-2204, December 2007
	Shin Yoshizawa , Alexander Belyaev , Hideo Yokota , Hans-Peter Seidel, Fast, robust, and faithful methods for detecting crest lines on meshes, Computer Aided Geometric Design, v.25 n.8, p.545-560, November, 2008
	S. Biasotti , L. De Floriani , B. Falcidieno , P. Frosini , D. Giorgi , C. Landi , L. Papaleo , M. Spagnuolo, Describing shapes by geometrical-topological properties of real functions, ACM Computing Surveys (CSUR), v.40 n.4, p.1-87, October 2008
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	Hongdong Li , Richard Hartley, Conformal spherical representation of 3D genus-zero meshes, Pattern Recognition, v.40 n.10, p.2742-2753, October, 2007
	Bruno Rodrigues de Araújo , Joaquim Armando Pires Jorge, Adaptive polygonization of implicit surfaces, Computers and Graphics, v.29 n.5, p.686-696, October, 2005
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	Frédéric Cazals , Jean-Charles Faugère , Marc Pouget , Fabrice Rouillier, The implicit structure of ridges of a smooth parametric surface, Computer Aided Geometric Design, v.23 n.7, p.582-598, October 2006
	Suraj Musuvathy , Elaine Cohen , Joon-Kyung Seong , James Damon, Tracing ridges on B-Spline surfaces, 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, October 05-08, 2009, San Francisco, California
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INDEX TERMS

Primary Classification:
I. Computing Methodologies
I.3 COMPUTER GRAPHICS
I.3.5 Computational Geometry and Object Modeling
Subjects: Curve, surface, solid, and object representations

General Terms:
Algorithms, Design

REVIEW

"Adina Raclariu : Reviewer"

Differential computational geometry is a powerful tool in the modeling and representation of curves, surfaces, and solid shapes. The methods and concepts of differential geometry have many practical applications in robotics and machine vision. more...

Collaborative Colleagues:

Jan J. Koenderink: colleagues

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