Gershon Elber's Publications
Manufacturing, Machining and Accessibility/Visibility:
"5-Axis Freeform Surface Milling Using Piecewise Ruled Surface Approximation", by Gershon Elber and Russ Fish
"A Unified Approach to Accessibility in 5-axis Freeform Milling Environments", by Gershon Elber and Elaine Cohen
"Accessibility in 5-Axis Milling Environment", by Gershon Elber
"Arbitrarily Precise Computation of Gauss Maps and Visibility Sets for Freeform Surfaces", by Gershon Elber and Elaine Cohen
"Cone Visibility Decomposition of Freeform Surfaces", by Gershon Elber and Eyal Zussman
"Freeform Surface Region Optimization for Three- and Five-Axis Milling", by Gershon Elber
"Model Fabrication Using Surface Layout Projects", by Gershon Elber
"Tool Path Generation for Freeform Surface Models", by Gershon Elber and Elaine Cohen
"Precise Global Collision Detection in Multi-Axis NC-Machining", by Oleg Ilushin, Gershon Elber, Dan Halperin and Ron Wein
"MATHSM: Medial Axis Transform toward High Speed Machining of Pockets", by Gershon Elber, Elaine Cohen and Sam Drake
"Mold Accessibility via Gauss Map Analysis", by Gershon Elber, Xianming Chen and Elaine Cohen
"Two-Dimensional Visibility Charts for Continuous Curves.", by Gershon Elber, Robert Sayegh, Gill Barequet and Ralph R. Martin.
"Global Curve Analysis via a Dimensionality Lifting Scheme.", by Gershon Elber.
"C^1 Continuous Toolpath Generation toward 5-axis High Speed Machining", by Gershon Elber, Elaine Cohen and Sam Drake
"Piecewise Developable Surface Approximation of General NURBS Surfaces, with Global Error Bounds", by Jacob Subag and Gershon Elber
"Optimal Ruled Surface Fitting", by Gershon Elber
"Papercraft Models using Generalized Cylinders", by Fady Massarwi, Craig Gotsman, and Gershon Elber
"Geometric Covering", by Nadav Shragai and Gershon Elber
"Geometric Multi-Covering", by Reuven Strauss, Florin Isvoranu and Gershon Elber
"Line Accessibility of Free Form Surfaces", by Aviv Segall, Jonathan Mizrahi, Yong-Joon Kim, and Gershon Elber.
"Multi-DimensionalDynamic Programming in Ruled Surface Fitting", by Charlie C. L. Wang and Gershon Elber.
Offsets, Bisectors and Other Computational Geometry on Freeforms:
"Alpha-Sectors of Rational Varieties", by Gil Barequest and Gershon Elber
"A Computation Model for Nonrational Bisector Surfaces: Curve-Surface and Surface-Surface Bisectors", by Gershon Elber and Myung-Soo Kim
"Bisector Curves of Planar Rational Curves", by Gershon Elber and Myung-Soo Kim
"Bisector Surface of Rational Space Curves", by Gershon Elber and Myung-Soo Kim
"A Symbolic Approach to Freeform Parametric Surface Blends", by Kwansik Kim and Gershon Elber
"Bisectors and Alpha-Sectors of Rational Varieties", by Gershon Elber, Gil Barequet and Myung-Soo Kim
"Computing Rational Bisectors of Point/Surface and Sphere/Surface Pairs", by Gershon Elber and Myung-Soo Kim
"Error Bounded Variable Distance Offset Operator for Free Form Curves and Surfaces", by Gershon Elber and Elaine Cohen
"Filleting and Rounding Using Trimmed Tensor Product Surfaces", by Gershon Elber and Elaine Cohen
"Offset Approximation Improvement by Control Points Perturbation", by Gershon Elber and Elaine Cohen
"Rational Bisectors of CSG Primitives", by Gershon Elber
"Convex Hull of Rational Plane Curves", by Gershon Elber, Myung-Soo Kim and Hee-Seok Heo
"The Convex Hull of Freeform Surfaces", by J. K. Seong, G. Elber, J. K. Johnston and M. S. Kim.
"Polynomial/Rational Approximation of Minkowski Sum Boundary Curves", by In Kwon Lee, Myung-Soo Kim and Gershon Elber
"Optimal Bounding Cones of Vectors in Three-Dimensions", by Gill Barequet and Gershon Elber
"Qualitative and Quantitative Comparison of Offset Curves Approximation Methods", by Gershon Elber, In-Kwon Lee and Myung Soo Kim
"Trimming Local and Global Self-Intersections in Offset Curves using Distance Maps", by Gershon Elber
"Computing the Minimum Enclosing Circle of a Set of Planar Curves.", by Gill Barequet, Gershon Elber and Myung-Soo Kim.
"Precise Voronoi Cell Extraction of Free-form Planar Piecewise C1-Continuous Closed Rational Curves.", by Iddo Hanniel, Ramanathan Muthuganapathy, Gershon Elber and Myung-Soo Kim.
"Computing the Voronoi Cells of Planes, Spheres and Cylinders in R^3.", by Iddo Hanniel and Gershon Elber.
"Trimming Local and Global Self-Intersections in Offset Curves/Surfaces using Distance Maps", by Joon-Kyung Seong, Gershon Elber and Myung Soo Kim.
"Hausdorff and Minimal Distances between Parametric Freeforms in R^2 and R^3", by Gershon Elber and Tim Grandine.
"Precise Hausdorff Distance Computation between Polygonal Meshes", by Michael Barton, Iddo Hanniel, Gershon Elber and Myung Soo Kim.
"Modeling by Composition", by Gershon Elber and Myung Soo Kim.
"High-Precision Continuous Contact Motion for Planar Freeform Geometric Curves", by Yong-Joon Kim, Gershon Elber, and Myung-Soo Kim.
Analysis of Freeforms:
"Curve Evaluation and Interrogation on Surfaces", by Gershon Elber
"Exact and Efficient Computation of Moments of Free-Form Surface and Trivariate Based Geometry", by Octavian Soldea, Gershon Elber and Ehud Rivlin
"Geometric Shape Recognition of Freeform Curves and Surfaces", by Gershon Elber and Myung-Soo Kim
"Hybrid Symbolic and Numeric Operators as Tools for Analysis of Freeform Surfaces", by Gershon Elber and Elaine Cohen
"Second Order Surface Analysis Using Hybrid Symbolic and Numeric Operators", by Gershon Elber and Elaine Cohen
"Symbolic and Numeric Computation in Curve Interrogation", by Gershon Elber
"Global Curvature Analysis and Segmentation of Volumetric Data Sets using Trivariate B-spline Functions", by Octavian Soldea, Gershon Elber and Ehud Rivlin
"Are Two Curves the Same?", by Diana Pekerman, Joon-Kyung Seong, Gershon Elber and Myung-Soo Kim.
(NP)Rendering and Texturing of Freeforms:
"Adaptive Isocurves Based Rendering: The Hardware Way", by Gershon Elber
"Adaptive Isocurves Based Rendering for Freeform Surface", by Gershon Elber and Elaine Cohen
"Geometric Deformation-Displacement Maps", by Gershon Elber
"Discontinuous Free Form Deformations", by Sagi Schein and Gershon Elber
"Interactive Direct Render of Trivariate B-spline Scalar Functions", by Alon Raviv and Gershon Elber
"Interactive Line Art Rendering of Freeform Surfaces", by Gershon Elber
"Line Art Illustrations of Parametric and Implicit Forms", by Gershon Elber.
"Line Art Rendering via a Coverage of Isoparametric Curves", by Gershon Elber
"Rendering with Parallel Stripes", by Gershon Elber
"Visibility as an Intrinsic Property of Geometric Models", by Adi Bar-Lev and Gershon Elber
"Line Illustration in Computer Graphics", by Gershon Elber
"Arbitrary Precise Orientation Specification for Layout of Text", by Tatiana Surazhsky and Gershon Elber
"Artistic Surface Rendering Using Layout of Text", by Tatiana Surazhsky and Gershon Elber
"Probabilistic Silhouette Based Importance Toward Line-Art Non-Photorealistic Rendering", by Gershon Elber and Elaine Cohen
"Real Time Geometric Detailing using Programmable Hardware", by Sagi Schein, Eran Karpen and Gershon Elber
"Real-time Haptic Incision Simulation using FEM-based Discontinuous Free Form Deformation", by Guy Sela, Jacob Subag, Alex Lindblad, Dan Albocher, Sagi Schein and Gershon Elber
Modeling with Freeforms:
"Constrained Multiresolution Geometric Modeling", by Stefanie Hahmann and Gershon Elber
"Global Error Bounds and Amelioration of Sweep Surfaces", by Gershon Elber
"Linearizing the Area and Volume Constraints", by Gershon Elber
"Multiresolution Curve Editing with Linear Constraints", by Gershon Elber
"Orthogonal Decomposition of Non-Uniform Bspline Spaces Using Wavelets", by Roman Kazinnik and Gershon Elber
"Solving Geometric Constraints Using Multivariate Rational Spline Functions", by Gershon Elber and Myung-Soo Kim
"Surface Design Using Global Constraints on Total Curvature", by Michael Plavnki and Gershon Elber
"Surface Reconstruction with Triangular Bezier Patches from Range Measurements", by Patrick Chouraqui, Gershon Elber and Eyal Zussman
"The Intersection of Two Ringed Surfaces and Some Related Problems", by Hee-Seok Heo, Sung Je Hong, Joon-Kyung Seong, Myung-Soo Kim and Gershon Elber
"Three Dimensional Freeform Sculpting Via Zero Sets of Scalar Trivariate Functions", by Alon Raviv and Gershon Elber
"Generalized Functional and Decorative Filleting and Blending Operations", by Gershon Elber
"Placement of Deformable Objects", by Sagi Schein and Gershon Elber
"Contouring 1- and 2-Manifolds in Arbitrary Dimensions.", by Joon-Kyung Seong, Gershon Elber and Myung-Soo Kim.
"Real-time Freeform Deformation using Programmable Hardware", by Sagi Schein and Gershon Elber
"Subdivision Termination Criteria in Subdivision Multivariate Solvers", by Iddo Hanniel and Gershon Elber
"Modeling (Seemingly) Impossible Models", by Gershon Elber
"Efficient Solution to Systems of Multivariate Polynomials using Expression Trees", by Gershon Elber and Tom Grandine
"Topologically guaranteed solution of surface-surface intersections via no-loop and single-component tests", by Michael Barton, Gershon Elber and Iddo Hanniel
"Global Solutions of Well-constrained Transcendental Systems using Expression Trees and a Single Solution Test", by Maxim Aizenshtein, Michael Barton and Gershon Elber
"Spiral Fat Arcs - Bounding Regions with Cubic Convergence", by Michael Barton and Gershon Elber
"Sketch Based Design of 2D and 3D Freeform Geometry", by Masha Nikolski and Gershon Elber
Metamorphosis:
"Metamorphosis of Planar Curves via Curvature Interpolation", by Tatiana Suarzhsky and Gershon Elber
"Image Morphing with Feature Preserving Texture", by Ayellet Tal and Gershon Elber
"Matching Free Form Surfaces", by Tatiana Surazhsky and Gershon Elber
"Matching of Freeform Curves", by Shmuel Cohen, Gershon Elber and Reuven Bar-Yehuda
"Metamorphosis of Freeform Curves and Surfaces", by Gershon Elber
"Self-Intersection Elimination in Metamorphosis of Two-Dimensional Curves", by Tatiana Samoilov and Gershon Elber
Others:
"Fast Iso-Surface Extraction Using Marching Gradients", by Olga Tebeleva and Gershon Elber
"PhD Thesis - Free Form Surface Analysis Using a Hybrid of Symbolic and Numeric Computation", by Gershon Elber
"Breaking the Shower Glass", by Gershon Elber
"Rendering Traditional Mosaics", by Gershon Elber and George Wolberg
"Output Sensitive Extraction of Silhouettes from Polygonal Geometry", by F. Benichou and Gershon Elber