Geometric Modeling and Processing Book

	The fractal nature of Bezier curves	3
	Overview of recent work on geometry images	12
	Surface processing by partial differential equation	13
	Chord length (motivated) parameterization of Marching Cubes isoSurfaces	19
	Knot choosing by accommodating the first derivative constraints	31
	Intersecting a freeform surface with a ruled or a ringed surface	38
	On convergence of the control polygons series of C-Bezier curves	49
	Smooth trimmed NURBS surface connection with tension control	56
	Existence of the normalized B-basis and a practical construction method of the B-algorithm	66
	Some estimate of the height of rational Bernstein-Bezier triangular surfaces	79
	Shape-preserving MQ-B-splines quasi-interpolation	85
	Rational quadratic approximation to real plane algebraic curves	93
	Surface interpolation of meshes with shape optimization	103
	Bivariate cubic spline space and bivariate cubic NURBS surfaces	115
	A hybrid method for fast computing the curvature scale space image	124
	Analyzing and enhancing the robustness of implicit representations	131
	Segmentation and parametrization of arbitrary polygon meshes	143
	Triangular/quadrilateral remeshing of an arbitrary polygonal surface via packing bubbles	153
	Feature based retargetting of parameterized geometry	163
	Topology free cut-and-paste editing over meshes	173
	Interpolatory [actual symbol not reproducible]2-subdivision surfaces	185
	Convergent discrete Laplace-Beltrami operators over triangular surfaces	195
	Fast evaluation of the improved loop's subdivision surfaces	205
	Global curvature analysis and segmentation of volumetric data sets using trivariate B-spline functions	217
	Topological volume skeletonization using adaptive tetrahedralization	227
	Improved geometric constraints on deformable surface model for volumetric segmentation	237
	Interpreting line drawings of objects with K-vertices	249
	Shrinking : another method for surface reconstruction	259
	Handling sectional views in volume-based approach to automatically construct 3D solid from 2D views	267
	Surface reconstruction with triangular B-splines	279
	Efficient and stable numerical algorithms on equilibrium equations for geometric modeling	291
	Recognition and reconstruction of developable surfaces from point clouds	301
	An engineering rules based parameterization approach for turbine blade reverse engineering	311
	A fast NC simulation method of circularly moving tools in the Z-map environment	319
	Theory of 2-D non-separable optimal wavelets and its applications	331
	Least squares ellipsoid specific fitting	335
	G[superscript 2] continuity conditions for two adjacent B-spline surfaces	341
	Adaptive multi-resolution fitting and its application to realistic head modeling	345
	Three-axis NC cutter path generation for subdivision surface	349
	M-band subdivision of bivariate B-splines of uniform partition in three directions	355
	Efficient topology construction from triangle soup	359
	Generalized NURBS curves and surfaces	365
	BIUP[superscript 3] : boundary topological invariant of 3D objects through front propagation at a constant speed	369
	Optimal mesh signal transforms	373
	Interpolatory convexity preserving subdivision schemes for curves	379