Gershon Elber's Publications

Many of the publications below may be found on line, indexed or directly in my own ftp site.

Theses

M.S. Computer Science
Technion - Israel Institute of Technology, July 1987.
``Automatic Assembly and Disassembly of Mechanical Structures via a Solid Geometric Model.'' Advisor: Prof. Moshe Shpitalni, Technion.
Ph.D. Computer Science
University of Utah, December 1992.
``Free Form Surface Analysis using a Hybrid of Symbolic and Numeric Computation.'' Advisor: Prof. Elaine Cohen, University of Utah.

Books

Elaine Cohen, Richard F. Riesenfeld, and Gershon Elber. ``Geometric Modeling with Splines - An Introduction''. A. K. Peters. Natick, Massachusetts, 2001.

Journals

Moshe Shpitalni, Gershon Elber and Ehud Lenz. ``Automatic Assembly of Three Dimensional Structures via Connectivity Graphs.'' Annals of CIRP 1988.
Gershon Elber and Moshe Shpitalni. ``Octree Creation via C.S.G. Definition.'' The Visual Computer, Vol 4, pp 53-64, 1988.
Gershon Elber and Elaine Cohen. ``Hidden Curve Removal for Free Form Surfaces.'' Computer Graphics, Vol 24, No 4, pp 95-104, August 1990 (Siggraph 1990).
Gershon Elber and Elaine Cohen. ``Error Bounded Variable Distance Offset Operator for Free Form Curves and Surfaces.'' International Journal of Computational Geometry & Applications, Vol 1, No 1, pp 67-78, March 1991.
Gershon Elber and Elaine Cohen. ``Second Order Surface Analysis Using Hybrid Symbolic and Numeric Operators.'' Transactions on Graphics, Vol 12, No 2, pp 160-178, April 1993.
Gershon Elber and Elaine Cohen. ``Tool Path Generation for Freeform Surface Models.'' CAD, Vol 26, No 6, pp 490-496, June 1994. Also the Second ACM/IEEE Symposium on Solid Modeling and Applications, Montreal Canada, May 1993.
Gershon Elber. ``Low Cost Illumination Computation using an Approximation of Light Wavefronts.'' Computer Graphics, pp 335-342, July 1994, (Siggraph 1994).
Gershon Elber. ``Accessibility in 5-Axis Milling Environment.'' CAD, Vol 26, No 11, pp 796-802, November 1994.
Gershon Elber. ``Symbolic and Numeric Computation in Curve Interrogation.'' Computer Graphics forum, Vol 14, No 1, pp 25-34, March 1995.
Gershon Elber. ``Model Fabrication using Surface Layout Projection.'' CAD, Vol 27, No 4, pp 283-291, April 1995.
Gershon Elber. ``Line Illustrations in Computer Graphics.'' The Visual Computer, Vol 11, No 6, pp 290-296, 1995.
Gershon Elber. ``Freeform Surface Region Optimization for Three- and Five-Axis Milling.'' CAD, Vol 27, No 6, pp 465-470, June 1995.
Gershon Elber. ``Line Art Rendering via a Coverage of Isoparametric Curves.'' IEEE Transactions on Visualization and Computer Graphics, Vol 1, No 3, pp 231-239, September 1995.
Gershon Elber. ``Error Bounded Piecewise Linear Approximation of Freeform Surfaces.'' CAD, Vol 28, No 1, pp 51-57, January 1996.
In-Kwon Lee, Myung-Soo Kim, and Gershon Elber. ``Planar Curve Offset Based on Circle Approximation.'' CAD, Vol 28, No 8, pp 617-630, August 1996.
Gershon Elber and Elaine Cohen. ``Adaptive Iso-Curves Based Rendering for Free Form Surfaces.'' Transactions on Graphics, Vol 15, No 3, pp 249-263, July 1996.
Lynn Eggli, Ching-yao Hsu, Beat D. Brüderlin, and Gershon Elber. ``Inferring 3D Models from Freehand Sketches and Constraints.'' CAD, Vol 29, No 2, pp 101-112, February 1997.
Shmuel Cohen, Gershon Elber, and Reuven Bar Yehuda. ``Matching of Freeform Curves.'' CAD, Vol 29, No 5, pp 369-378, 1997. Also Center for Intelligent Systems Tech. Report, CIS 9527, Computer Science Department, Technion.
Gershon Elber, In-Kwon Lee, and Myung-Soo Kim. ``Comparing Offset Curve Approximation Methods.'' CG&A, Vol 17, No 3, pp 62-71, May-June 1997.
Kwansik Kim and Gershon Elber. ``New Approaches to Freeform Surface Fillets.'' The Journal of Visualization and Computer Animation, Vol 8, No 2, pp 69-80, 1997. Also the third Pacific Graphics Conference on Computer Graphics and Applications, Seoul, Korea, pp 348-360, August 1995.
Gershon Elber. ``Global Error Bounds and Amelioration of Sweep Surfaces.'' CAD, Vol 29, No 6, pp 441-449, 1997.
Gershon Elber and Russ Fish. ``5-Axis Freeform Surface Milling using Piecewise Ruled Surface Approximation.'' ASME Journal of Manufacturing Science and Engineering, Vol 119, No 3, pp 383-387, August 1997.
Roman Kazinnik and Gershon Elber. ``Orthogonal Decomposition of Non-Uniform Bspline Spaces using Wavelets.'' Computer Graphics forum, Vol 16, No 3, pp 27-38, September 1997. Also the Best Paper Award (Second Prize) in Eurographics 97, Budapest, Hungary, September 1997.
Gershon Elber, Jung-Ju Choi, and Myung-Soo Kim. ``Ruled Tracing.'' The Visual Computer, Vol 13, pp 78-94, 1997. Also Center for Intelligent Systems Tech. Report, CIS 9501, Computer Science Department, Technion.
Olga Tebeleva, Gershon Elber, Yehuda Harit, and Moshe Roffman. ``Geometric Problems in Computerized Preoperational Planning of a Robot Assisted Total Knee Replacement.'' The Journal for Geometry and Graphics, Vol 1, No 1, pp 41-49, 1997. Also the 7th International Conference on Engineering Computer Graphics and Descriptive Geometry, Crakow, pp 395-399, July 1996.
Gershon Elber and Myung-Soo Kim. ``Geometric Shape Recognition of Freeform Curves and Surfaces.'' Graphics Models and Image Processing, Vol 59, No 6, pp 417-433, November 1997. Also Center for Intelligent Systems Tech. Report, CIS 9615, Computer Science Department, Technion.
Nur Arad and Gershon Elber. ``Isometric Texture Mapping.'' Computer Graphics forum, Vol 16, No 5, pp 247-256, December 1997.
Gershon Elber and Myung-Soo Kim. ``The Bisector Surface of Freeform Rational Space Curves.'' Transactions on Graphics, Vol 17, No 1, pp 32-50, January 1998. Also Center for Intelligent Systems Tech. Report, CIS 9619, Computer Science Department, Technion.
In-Kwon Lee, Myung Soo Kim and Gershon Elber. ``Polynomial/Rational Approximation of Minkowski Sum Boundary Curves'' Graphics Models and Image Processing, Vol 60, No 2, pp 136-165, March 1998. Also Technical Report PIRL-TR-97-005, Computer Graphics Lab., PIRL, POSTECH, San 31, Hyoja Dong, Pohang 790-784, South Korea, June, 1997.
Gershon Elber. ``Line Art Illustrations of Parametric and Implicit Forms.'' IEEE Transactions on Visualization and Computer Graphics, Vol 4, No 1, pp 71-82, January-March 1998. Also Center for Intelligent Systems Tech. Report, CIS 9702, Computer Science Department, Technion.
Gershon Elber and Eyal Zussman. ``Cone Visibility Decomposition of Freeform Surfaces.'' CAD, Vol 30, No 4, pp 315-320, April 1998. Also Center for Intelligent Systems Tech. Report, CIS 9623, Computer Science Department, Technion.
Tatiana Samoilov and Gershon Elber. ``Self-Intersection Elimination in Metamorphosis of Two-Dimensional Curves.'' The Visual Computer, Vol 14, No 8-9, pp 415-428, 1998.
Gershon Elber and Myung Soo Kim. ``Bisector Curves of Planar Rational Curves.'' CAD, Vol 30, No 14, pp 1089-1096, December 1998. Also Center for Intelligent Systems Tech. Report, CIS 9707, Computer Science Department, Technion.
Hee-Seok Heo, Myung-Soo Kim, and Gershon Elber. ``The Intersection of Two Ruled Surfaces.'' CAD, Vol 31, No 1, pp 33-50, January 1999. Also Differential/Topological Techniques in Geometric Modeling and Processing'98, Pohang Korea, pp 215-223, April 1998.
Aleks Smolin, Anath Fischer, and Gershon Elber. ``A Matching-Based Approach for Extracting Mid-Surfaces of Freeform Shapes.'' ASME Journal of Manufacturing Science and Engineering, Vol 121, No 2, pp 202-207, May 1999.
Ayellet Tal and Gershon Elber. ``Image Morphing with Feature Preserving Texture.'' Computer Graphics forum, Vol 18, No 3, pp 339-348, September 1999. Also Eurographics 99, Milano, Italy, September 1999.
Gershon Elber. ``Interactive Line Art Rendering of Freeform Surfaces.'' Computer Graphics forum, Vol 18, No 3, pp 1-12, September 1999. Also Eurographics 99, Milano, Italy, September 1999.
Gershon Elber and Myung Soo Kim. ``Computing Rational Bisectors''. CG&A, Vol 19, No 6, pp 76-81, November-December 1999. Also Center for Intelligent Systems Tech. Report, CIS 9805, Computer Science Department, Technion.
Gershon Elber and Elaine Cohen. ``A Unified approach to Accessibility in 5-axis Freeform Milling Environments.'' CAD, Vol 31, No 13, pp 795-804, November 1999. Also appeared in Sculptured Surface Machining 98, Detroit USA, November 1998 and as the Center for Intelligent Systems Tech. Report, CIS 9815, Computer Science Department, Technion.
Alon Raviv and Gershon Elber. ``Three Dimensional Freeform Sculpting Via Zero Sets of Scalar Trivariate Functions.'' CAD, Vol 32, No 8/9, pp 513-526, July/August 2000. Also the fifth ACM/IEEE Symposium on Solid Modeling and Applications, Ann Arbor, Michigan, pp 246-257, June 1999.
Gershon Elber. ``Rendering with Parallel Stripes.'' Computer Graphics and Applications, Vol 21, No 3, pp 44-52, May/June 2001.
Tatiana Surazhsky and Gershon Elber ``Matching Free Form Surfaces.'' Computer & Graphics, Vol 25, No 1, pp 3-12, February 2001.
Gershon Elber. ``Curve Evaluation and Interrogation on Surfaces.'' The Journal of Graphical Models, Vol 63, No 3, pp 197-210, May 2001.
Gershon Elber, Myung-Soo Kim, and Hee-Seok Heo. ``Convex Hull of Rational Plane Curves.'' The Journal of Graphics Models and Image Processing, Vol 63, No 3, pp 151-162, May 2001.
Alon Raviv and Gershon Elber. ``Interactive Direct Rendering of Trivariate Bspline Scalar Functions.'' IEEE Transactions on Visualization and Computer Graphics, Vol 7, No 2, pp 109-120, April-June 2001.
Gershon Elber, Gill Barequet, and Myung-Soo Kim. ``Bisectors and Alpha-Sectors of Rational Varieties.'' Computing, Supplement 14, pp 73-88, 2001.
Hee-Seok Heo, Sung Je Hong, Myung-Soo Kim and Gershon Elber. ``The Intersection of Two Ringed Surfaces and Some Related Problems.'' The Journal of Graphical Models, Vol 63, No 4, pp 228-244, July 2001 Also in the Eighth Pacific Graphics 2000, Hong Kong, pp 146-153, October 3-5, 2000.
Gershon Elber. ``Multiresolution Curve Editing with Linear Constraints.'' The Journal of Computing & Information Science in Engineering, Vol 1, No 4, pp. 347-355, December 2001. Also the Sixth ACM/IEEE Symposium on Solid Modeling and Applications, Ann Arbor, Michigan, pp 109-119, June 2001 (Best Paper Award).
Octavian Soldea, Gershon Elber, and Ehud Rivlin. ``Exact and Efficient Computation of Moments of Free-Form Surface and Trivariate Based Geometry.'' Computer Aided Design, Vol 34, No 7, pp 529-539, June 2002.
Tatiana Surazhsky and Gershon Elber ``Surface Rendering Using Layout of Text.'' Computer Graphics forum, Vol 21, No 2, pp 99-110 (12), June 2002.
Tatiana Surazhsky and Gershon Elber. ``Metamorphosis of Planar Parametric Curves via Curvature Interpolation.'' The International Journal of Shape Modelling Vol 8, No 2, pp 201-216, December 2002.
Gershon Elber and George Wolberg ``Rendering Traditional Mosaics.'' The Visual Computer, Vol 19, No 1, pp 67-78, 2003.
Joon Kyung Seong, Gershon Elber, John K. Johnstone, and Myung-Soo Kim. ``The Convex Hull of Freeform Surfaces.'' Computing, Vol 72, pp 171-183, 2004.
Sagi Schein and Gershon Elber. ``Adaptive Extraction and Visualization of Silhouette Curves from Volumetric Datasets.'' The Visual Computer, Vol 20, No 4, pp 243-2523, 2004.
Gershon Elber, Elaine Cohen, and Sam Drake. ``MATHSM: Medial Axis Transform toward High Speed Machining of Pockets''. Computer Aided Design, Vol 37, No 2, pp 241-250, February 2005.

In Press

Gershon Elber. ``Generalized Filleting and Blending Operations toward Functional and Decorative Applications Operations.'' Accepted for publication in the Journal of Graphical Models. Also Shape Modeling International 2003, Seoul, Korea, pp 13-22, May 2003.
Oleg Ilushin, Gershon Elber, Dan Halperin, and Ron Wein. ``Precise Global Collision Detection in Multi-Axis NC-Machining.'' Accepted for publication in Computer Aided Design. Also CAD'04, Pattaya Beach, Thailand, pp 233-242, May 2004.
Gershon Elber, Xianming Chen, and Elaine Cohen. ``Mold Accessibility via Gauss Map Analysis.'' Accepted for The Journal of Computing & Information Science in Engineering. Also Shape Modeling International 2004, Genova, Italy, pp 263-274, June 2004.
Joon-Kyung Seong, Ku-Jin Kim, Myung Soo Kim, Gershon Elber, and Ralph R. Martin. ``Intersecting a Freeform Surface with a General Swept Surface.'' Accepted for publication in Computer Aided Design.
Gershon Elber. ``Geometric Texture Modeling.'' Accepted for publication in IEEE CG&A.
Sagi Schein and Gershon Elber. ``Placement of Deformable Objects.'' Accepted for publication in Computer Graphics forum.
Gill Barequet and Gershon Elber. ``Optimal Bounding Cones of Vectors in Three and Higher Dimensions.'' Accepted for publication in Information Processing Letters. Also appeared in the 5th ``Korea-Israel Bi-National Conference on Geometric Modeling and Computer Graphics'', pp 3-7, Seoul, Korea, October 2004.
Ron Wein, Oleg Ilushin, Gershon Elber, and Dan Halperin. ``Continuous Path Verification in Multi-Axis NC-Machining.'' Accepted for publication in the International Journal of Computational Geometry & Applications. Also appeared in SoCG'04, Polytechnic University in Brooklyn, New York, U.S.A., pp 86-95, June 9-11, 2004.

Professional Conferences (paper presentation)

Gershon Elber and Elaine Cohen. ``Offset Approximation Improvement by Control Points Perturbation.'' Mathematical methods in Computer Aided Geometric Design II. Tom Lyche and Larry L. Schumaker, pp 229-237. Academic Press, Inc., 1992.
Gershon Elber and Elaine Cohen. ``Hybrid Symbolic and Numeric Operators as Tools for Analysis of Freeform Surfaces.'' Modeling in Computer Graphics, B. Falcidieno and T. L. Kunii (Eds.), Working Conference on Geometric Modeling in Computer Graphics (IFIP TC 5/WG 5.10), pp 275-286, Genova, June-July 1993.
Greg Heflin and Gershon Elber. ``Shadow Volume Generation from Free Form Surfaces.'' Communicating with Virtual Worlds, Nadia Magnenat Thalmann and Daniel Thalmann (Eds.), Computer Graphics International 1993 (CGI 93), pp 115-126, Lausanne, Switzerland, June 1993.
Gershon Elber. ``Adaptive Isocurves Based Rendering: the Hardware Way.'' Computer Graphics International 1994 (CGI 94), pp 257-266, Melbourne, Australia, June 1994.
Lynn Eggli, Beat D. Brüderlin, and Gershon Elber. ``Sketching as a Solid Modeling Tool.'' The third ACM/IEEE Symposium on Solid Modeling and Applications, SLC, Utah, pp 313-321, May 1995.
Gershon Elber and Elaine Cohen. ``Arbitrarily Precise Computation of Gauss Maps and Visibility Sets for Freeform Surfaces.'' The third ACM/IEEE Symposium on Solid Modeling and Applications, SLC, Utah, pp 271-279, May 1995.
Gershon Elber. ``Metamorphosis of Freeform Curves and Surfaces.'' Computer Graphics Developments in Virtual Worlds, R. A. Earnshaw and J. A. Vince (Eds.), Computer Graphics International 1995 (CGI 95), pp 29-40, Leeds, England, June 1995.
Gershon Elber and Craig Gotsman. ``Multiresolution Control for Nonuniform Bspline Curve Editing.'' The third Pacific Graphics Conference on Computer Graphics and Applications, Seoul, Korea, pp 267-278, August 1995.
Olga Tebeleva and Gershon Elber. ``Fast Iso-Surface Extraction using Marching Gradients.'' The fourth Pacific Graphics Conference on Computer Graphics and Applications, Taipei, Taiwan, pp 80-90, August 1996.
Gershon Elber and Elaine Cohen. ``Gouge Detection and Prevention of Multi Axis Machining Tools for Freeform Surfaces.'' The 16th ASME International Computer in Engineering Conference, Irvine, California, August 1996.
Patrick Chouraqui and Gershon Elber. ``Physically Based Adaptive Triangulation of Freeform Surfaces.'' Computer Graphics International 1996 (CGI 96), pp 144-153, Pohang, Korea, June 1996.
Moshe Roffman, Yehuda Charit, Gershon Elber, and Moshe Shoham. ``Robot-assisted total knee replacement based on computerized three-dimensional preoperative planning''. Poster presentation. SIROT 96, Amsterdam, Holland, August 1996.
In-Kwon Lee, Myung-Soo Kim, and Gershon Elber. ``New Approximation Methods of Planar Offset and Convolution Curves''. Theory and Practice of Geometric Modeling, University of Tubingen, Germany, October 1996.
Gershon Elber and Myung Soo Kim. ``The Bisector Surface of Freeform Rational Space Curves.'' Video presentation the 13th Annual ACM Symposium on Computational Geometry, Nice, France, June 1997.
Gershon Elber and Elaine Cohen. ``Filleting and Rounding using Trimmed Tensor Product Surfaces.'' The fourth ACM/IEEE Symposium on Solid Modeling and Applications, Atlanta, U.S.A., pp 201-216, May 1997.
Anath Fischer, Gershon Elber, and Alex Smolin. ``Reconstruction of Mid-Surface for Analyzing 3D Molds.'' The International Conference and Exhibition on Design and Production of Dies and Molds, Istanbul, Turkey, June 1997.
Sangho Park, Myung-Soo Kim, Gershon Elber, and Moon-Hyun Kim. ``A Solid Modeler Based on Freeform NURBS Trimmed Surfaces.'' The 7th International Conference on Computing in Civil and Building Engineering, Seoul, Korea, August 1997.
Adi Bar-Lev and Gershon Elber. ``Visibility as an Intrinsic Property of Geometric Models.'' Computer Graphics International 1998 (CGI 98), pp 198-206, Hannover, Germany, June 1998.
Michael Plavnik and Gershon Elber. ``Surface Design Using Global Constraints on Total Curvature.'' The VIII IMA Conference on Mathematics of Surfaces, Birmingham, September 1998.
Fabien Benichou and Gershon Elber. ``Output Sensitive Extraction of Silhouettes from Polygonal Geometry.'' The Seventh Pacific Graphics 99, Seoul, Korea, pp 60-69, October 1999.
Gershon Elber and Myung Soo Kim. ``Rational Bisectors of CSG Primitives.'' The fifth ACM/IEEE Symposium on Solid Modeling and Applications, Ann Arbor, Michigan, pp 159-166, June 1999.
Gill Barequet and Gershon Elber. ``Alpha-sectors of rational varieties.'' Proc. 16th European Workshop on Computational Geometry, Eilat, Israel, pp 35-39, March 2000.
Gershon Elber. Revisiting Linear Constraints. The first Korea-UK workshop on Geometric Modeling and Computer Graphics 2000, Seoul, Korea, pp 159-166, April 2000. Invited Talk.
Gershon Elber, Myung-Soo Kim, and Hee-Seok Heo. ``Convex Hull of Rational Plane Curves.'' The first Korea-UK workshop on Geometric Modeling and Computer Graphics 2000, Seoul, Korea, pp 197-206, April 2000.
Gershon Elber and Myung Soo Kim. ``A Computational Model for Nonrational Bisector Surfaces: Curve-Surface and Surface-Surface Bisectors.'' Geometric Modeling and Processing 2000, Hong Kong, pp 364-372, April 2000.
Myung Soo Kim and Gershon Elber. ``Problem Reduction to Parameter Space.'' The IX IMA conference on Mathematics of Surfaces, Cambridge, England, September 2000.
Tatiana Surazhsky and Gershon Elber. ``Arbitrary precise Orietation Specification for Layout of Text.'' The eighth Pacific Graphics 2000, Hong Kong, pp 80-86, October 3-5, 2000.
Gershon Elber and Myung-Soo Kim. ``Geometric Constraint Solver using Multivariate Rational Spline Functions.'' The Sixth ACM/IEEE Symposium on Solid Modeling and Applications, Ann Arbor, Michigan, pp 1-10, June 2001.
Gershon Elber. ``Geometric Deformation-Displacement Maps'' The tenth Pacific Graphics 2002, Beijing, China, pp 156-165, October 9-11, 2002.
Gershon Elber. ``Trimming Local and Global Self-intersections in Offset Curves using Distance Maps.'' The 10th IMA conference on the Mathematics of Surfaces, Leeds, UK, pp 213-222, September 2003, LLCS2768.
Tatiana Surazhsky, Evgeny Magid, Octavian Soldea, Gershon Elber, and Ehud Rivlin. ``A Comparison of Gaussian and Mean Curvatures Estimation Methods on Triangular Meshes.'' Proceedings of the IEEE International Conference on Robotics and Automation. Taipei, Taiwan, pp 1021-1026, September 2003.
Gershon Elber. ``Distance Separation Measures Between Parametric Curves and Surfaces Toward Intersection and Collision Detection Applications.'' Proceedings of COMPASS 2003, Schloss Weinberg, Austria, October 2003.
Octavian Soldea, Gershon Elber, and Ehud Rivlin. ``Global Curvature Analysis and Segmentation of Volumetric Data Sets using Trivariate B-spline Functions.'' Geometric Modeling and Processing 2004, Beijing, China, pp 217-226, April 2004.
Joon Kyung Seong, Ku-Jin Kim, Myung Soo Kim, and Gershon Elber. ``Intersecting a Freeform Surface with a Ringed/Ruled Surface.'' Geometric Modeling and Processing 2004, Beijing, China, pp 38-48, April 2004.
Guy Sela, Sagi Schein, and Gershon Elber. ``Real-time Incision Simulation Using Discontinuous Free Form Deformation''. The International Symposium on Medical Simulation 2004, pp 114-123, June 2004, LNCS3078.
Sagi Schein and Gershon Elber. ``Discontinuous Free Form Deformations.'' Pacific Graphics 2004, Seoul Korea, pp 227-236, Ocotber 2004.