Geometric Modelling

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Format: Paperback
Pub. Date: 2001-08-01
Publisher(s): Springer Verlag Wien
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Summary

Geometric Modelling is concerned with the computer aided design, manipulation, storage and transmission of geometric shape. It provides fundamental techniques to different areas of application as CAD/CAM, computer graphics, scientific visualization, and virtual Reality. 20 papers presented by leading experts give a state-of-the-art survey of the following topics: surface design and fairing; multiresolution models; reverse engineering; solid modelling; constrained based modelling.

Table of Contents

Converting Orthogonal Polyhedra from Extreme Vertices Model to B-Rep and to Alternating Sum of Volumes
1(18)
Aguilera, A.
Ayala, D.
Smooth Shell Construction with Mixed Prism Fat Surfaces
19(18)
Bajaj C. L.
Xu, G.
Geometric Modeling of Parallel Curves on Surfaces
37(18)
Brunnett, G.
Computing Volume Properties Using Low-Discrepancy Sequences
55(18)
Davies, T.J.G.
Martin, R. R.
Bowyer, A.
Bisectors and α-Sectors of Rational Varieties
73(16)
Elber, G.
Barequet, G.
Kim, M. S.
Piecewise Linear Wavelets Over Type-2 Triangulations
89(16)
Floater, M. S.
Quak, E. G.
Feature-Based Matching of Triangular Meshes
105(14)
Frohlich, M.
Muller, H.
Pillokat, C.
Weller, F.
C4 Interpolatory Shape-Preserving Polynomial Splines of Variable Degree
119(36)
Gabrielides, N. C.
Kaklis, P. D.
Blossoming and Divided Difference
155(30)
Goldman, R.
Localizing the 4-Split Method for G1 Free-Form Surface Fitting
185(14)
Hahmann, S.
Bonneau, G.-P.
Taleb, R.
Surface Reconstruction Using Adaptive Clustering Methods
199(20)
Heckel, B.
Uva, A. E.
Hamann, B.
Joy, K. I.
An Algorithm to Triangulate Surfaces in 3D Using Unorganised Point Clouds
219(14)
Kos, G.
Cylindrical Surface Pasting
233(16)
Mann, S.
Yeung, T.
A Constraint-Based Method for Sculpting Free-Form Surfaces
249(18)
Michalik, P.
Bruderlin, B.
A Geometrically Motivated Affine Invariant Norm
267(14)
Milbrandt V.A.
Exploiting Wavelet Coefficients for Modifying Functions
281(12)
Nawotki, A.
Parametric Representation of Complex Mechanical Parts Using PDE Surface Generation
293(16)
Robinson, M.
Bloor, M. I. G.
Wilson, M. J.
Data-Dependent Triangulation in the Plane with Adaptive Knot Placement
309(14)
Schatzl, R.
Hagen, H.
Barnes, J. C.
Hamann, B.
Joy, K. I.
Implicit Surfaces Revisited-I-Patches
323(14)
Varady, T.
Benko, P.
Kos, G.
Rockwood, A.
Radial Basis Functions, Discrete Differences, and Bell-Shaped Bases
337
Warren, J.
Weimer, H.

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