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Geometric Modelling : Dagstuhl 2002 - Stefanie Hahmann

Geometric Modelling

Dagstuhl 2002

By: Stefanie Hahmann (Editor), Guido Brunnett (Editor), Gerald Farian (Editor), Ron Goldman (Editor)

Paperback Published: 2nd June 2004
ISBN: 9783211208182
Number Of Pages: 248

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In 19 articles presented by leading experts in the field of geometric modelling the state-of-the-art on representing, modeling, and analyzing curves, surfaces as well as other 3-dimensional geometry is given. The range of applications include CAD/CAM-systems, computer graphics, scientific visualization, virtual reality, simulation and medical imaging. The content of this book is based on selected lectures given at a workshop held at IBFI Schloss Dagstuhl, Germany. Topics treated are: - curve and surface modelling - non-manifold modelling in CAD - multiresolution analysis of complex geometric models - surface reconstruction - variational design - computational geometry of curves and surfaces - 3D meshing - geometric modelling for scientific visualization - geometric models for biomedical applications

An algorithm for parametric quadric patch constructionp. 1
Planar development of free-form surfaces : quality evaluation and visual inspectionp. 13
Biorthogonal loop-subdivision waveletsp. 29
Fairness criteria for algebraic curvesp. 41
Spline curve approximation and design by optimal control over the knotsp. 53
A parametric quartic spline interpolant to position, tangent and curvaturep. 65
Surface compression using a space of C[superscript 1] Cubic Splines with a hierarchical basisp. 79
Evolutions of polygons in the study of subdivision surfacesp. 93
The Bezier tangential surface system : a robust dual representation of tangent spacep. 105
Bounding the distance between 2D parametric Bezier curves and their control polygonp. 117
Wavelet-based multiresolution with [actual symbol not reproducible] subdivisionp. 129
Quasi-interpolants with tension properties from and in CAGDp. 143
Length preserving multiresolution editing of curvesp. 161
The convex hull of freeform surfacesp. 171
Robust spherical parameterization of triangular meshesp. 185
Spine based shape parameterisation for PDE surfacesp. 195
Direct segmentation of algebraic models for reverse engineeringp. 207
Two triangulation methods based on edge refinementp. 221
Efficient collision detection for moving ellipsoids using separating planesp. 235
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783211208182
ISBN-10: 3211208186
Audience: General
Format: Paperback
Language: English
Number Of Pages: 248
Published: 2nd June 2004
Country of Publication: AT
Dimensions (cm): 23.39 x 15.6  x 1.37
Weight (kg): 0.36