Advances in Geometric Modeling Book

	Preface
1	Polygonal Subdivision Curves for Computer Graphics and Geometric Modeling	1
2	Planar Development of Digital Free-Form Surfaces	19
3	A Shape Preserving Representation for Rational Curves with Efficient Evaluation Algorithm	39
4	Piecewise Power Basis Conversion of Dynamic B-spline Curves and Surfaces	55
5	Computational Methods for Geometric Processing of Surfaces: Blending, Offsetting, Intersection, Implicitization	69
6	Weighted Nu Splines: An Alternative to NURBS	81
7	Generation of Parting Surfaces Using Subdivision Technique	97
8	Triadic Subdivision of Non Uniform Powell-Sabin splines	107
9	Surface Interpolation Scheme by Distance Blending over Convex Sets	121
10	Family of G[superscript 2] Spiral Transition Between Two Circles	133
11	Optimal Hierarchical Adaptive Mesh Construction Using FCO Sampling	153
12	Virtual Sculpting and Deformable Volume Modeling	167
13	Free Form Modeling Method Based on Silhouette and Boundary Lines	175
14	Intuitive and Precise Solid Modeling in A Virtual Reality Environment	185
15	Efficient Simplification of Triangular Meshes	203
16	Multiresolution and Diffusion Methods Applied to Surface Reconstruction Based on T-Surfaces Framework	217
17	A Multiresolution Framework for NUBS	229
18	Irregular Topology Spline Surfaces and Texture Mapping	241
19	Segmentation of Scanned Surfaces: Improved Extraction of Planes	251
20	Constraint-Based Visualization of Spatiotemporal Databases	263
21	Surface Oriented Triangulation of Unorganized 3D Points Based On Laszlo's Algorithm	277
22	Modifying the Shape of Cubic B-spline and NURBS Curves by Means of Knots	299
	Index of Authors	315