This book constitutes the refereed proceedings of the 4th International Conference on Geometric Modeling and Processing, GMP 2006, held in Pittsburgh, PA, USA in July 2006.The 36 revised full papers and 21 revised short papers presented were carefully reviewed and selected from a total of 84 submissions. All current issues in the area of geometric modeling and processing are addressed and the impact in such areas as computer graphics, computer vision, machining, robotics, and scientific visualization is shown. The papers are organized in topical sections on shape reconstruction, curves and surfaces, geometric processing, shape deformation, shape de*ion, shape recognition, geometric modeling, subdivision surfaces, and engineering applications.
Shape Reconstruction Automatic Extraction of Surface Structures in Digital Shape Reconstruction Ensembles for Normal and Surface Reconstructions Adaptive Fourier-Based Surface Reconstruction Curves and Surfaces I I,east Squares Approximation by Pythagorean Hodograph Spline Curves Via an Evolution Process Geometric Accuracy Analysis for Discrete Surface Approximation Quadrie Surface Extraction by Variational Shape Approximation Geometric Processing I Tracking Point-Curve Critical Distances Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Defornfing Parametric Surfaces Subdivision Termination Criteria in Subdivision Multivariate Solvers Efficient Piecewise Linear Approximation of B~zier Cm'ves with Improved Sharp Error Bound Approximate p-Bases of Rational Curves and Surfaces Shape Deformation Inverse Adaptation of ttex-dominant Mesh for Large I)efbrination Finite Element Analysis Preserving Form-Features in Interactive Mesh Deformation Surface Creation and Curve Deformations Between Two Complex Closed Spatial Spline Curves Shape Description Computing a Family of Skeletons of Volumetric Models for Shape Description Representing Topological Structures Using Cell-Chains Constructing Regularity Feature Trees for Solid Models …… Shape Recognition Geometric Modeling Curves and SurfaeseIII Subdivision Surfates Geonuetic ProcessinggII Enginetting APplcations SHort Papers Author Index