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Advances in Geometric Modeling and Processing

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GeometricModelingandProcessing(GMP)isabiennialinternationalconference on geometric modeling, simulation and computing, which provides researchers and practitioners with a forum for exchanging new ideas, discussing new app- cations, and presenting new solutions. Previous GMP conferences were held in Pittsburgh (2006), Beijing (2004), Tokyo (2002), and Hong Kong (2000). This, the 5th GMP conference, was held in Hangzhou, one of the most beautiful cities in China. GMP 2008 received 113 paper submissions, covering a wide spectrum of - ometric modeling and processing, such as curves and surfaces, digital geometry processing, geometric feature modeling and recognition, geometric constraint solving, geometric optimization, multiresolution modeling, and applications in computer vision, image processing, scienti?c visualization, robotics and reverse engineering. Each paper was reviewed by at least three members of the program committee andexternalreviewers.Basedonthe recommendations ofthe revi- ers, 34 regular papers were selected for oral presentation, and 17 short papers were selected for poster presentation. All selected papers are included in these proceedings. We thank all authors, external reviewers and program committee members for their great e?ort and contributions, which made this conference a success.
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Table of Contents

RegularPapers.- Automatic PolyCube-Maps.- Bicubic G1 Interpolation of Irregular Quad Meshes Using a 4-Split.- Bounding the Distance between a Loop Subdivision Surface and Its Limit Mesh.- A Carving Framework for Topology Simplification of Polygonal Meshes.- Comparing Small Visual Differences between Conforming Meshes.- Continuous Collision Detection between Two 2D Curved-Edge Polygons under Rational Motions.- Controlling Torsion Sign.- Cutting and Fracturing Models without Remeshing.- Detection of Planar Regions in Volume Data for Topology Optimization.- Determining Directional Contact Range of Two Convex Polyhedra.- Efficient Collision Detection Using a Dual Bounding Volume Hierarchy.- Fast and Local Fairing of B-Spline Curves and Surfaces.- Finite Element Methods for Geometric Modeling and Processing Using General Fourth Order Geometric Flows.- Geodesic as Limit of Geodesics on PL-Surfaces.- Hausdorff and Minimal Distances between Parametric Freeforms in and .- On Interpolation by Spline Curves with Shape Parameters.- Lepp Terminal Centroid Method for Quality Triangulation: A Study on a New Algorithm.- Mean Value Bezier Maps.- Meaningful Mesh Segmentation Guided by the 3D Short-Cut Rule.- Mesh Simplification with Vertex Color.- A Multistep Approach to Restoration of Locally Undersampled Meshes.- Noise Removal Based on the Variation of Digitized Energy.- Note on Industrial Applications of Hu's Surface Extension Algorithm.- Parameterizing Marching Cubes Isosurfaces with Natural Neighbor Coordinates.- Parametric Polynomial Minimal Surfaces of Degree Six with Isothermal Parameter.- Physically-Based Surface Texture Synthesis Using a Coupled Finite Element System.- Planar Shape Matching and Feature Extraction Using Shape Profile.- Reconstructing a Mesh from a Point Cloud by Using a Moving Parabolic Approximation.- A Revisit to Least Squares Orthogonal Distance Fitting of Parametric Curves and Surfaces.- Shifting Planes to Follow a Surface of Revolution.- Slit Map: Conformal Parameterization for Multiply Connected Surfaces.- Solving Systems of 3D Geometric Constraints with Non-rigid Clusters.- Space-Time Curve Analogies for Motion Editing.- Variational Skinning of an Ordered Set of Discrete 2D Balls.- Short Papers.- 3D Mesh Segmentation Using Mean-Shifted Curvature.- Convex Surface Interpolation.- Deformation and Smooth Joining of Mesh Models for Cardiac Surgical Simulation.- Digital Design for Functionally Graded Material Components Rapid Prototyping Manufacturing.- Layer-Based Mannequin Reconstruction and Parameterization from 3D Range Data.- Manifoldization of ?-Shapes by Topology Operators.- A Mesh Simplification Method Using Noble Optimal Positioning.- Narrow-Band Based Radial Basis Functions Implicit Surface Reconstruction.- Progressive Interpolation Using Loop Subdivision Surfaces.- Protein Surface Modeling Using Active Contour Model.- Quasi-interpolation for Data Fitting by the Radial Basis Functions.- A Shape Feature Based Simplification Method for Deforming Meshes.- Shape Representation and Invariant Description of Protein Tertiary Structure in Applications to Shape Retrieval and Classification.- The Structure of V-System over Triangulated Domains.- Tool Path Planning for 5-Axis Flank Milling Based on Dynamic Programming Techniques.- Trimming Bezier Surfaces on Bezier Surfaces Via Blossoming.- A Volumetric Framework for the Modeling and Rendering of Dynamic and Heterogeneous Scenes.- Geometric Calibration of Projector Imagery on Curved Screen Based-on Subdivision Mesh.- A Comment.- A Comment on `Constructing Regularity Feature Trees for Solid Models'.

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