Mathematical Methods for Curves and Surfaces: Oslo 2000 Book

	Preface
	Contributors
	Best-Fit of Implicit Surfaces and Plane Curves	1
	Determination of Geometrical Invariants of Rationally Parametrized Conic Sections	15
	A Scattered Data Approximation Scheme for the Detection of Fault Lines	25
	Beta-Continuity Revisited: Determining Bezier Control Vertices to Construct Geometrically Continuous Curves and Surfaces	35
	Simplification of Closed Triangulated Surfaces Using Simulated Annealing	45
	Planar Configurations with Simple Lagrange Interpolation Formulae	55
	Approximating Semi-Structured Data with Different Errors Using Support Vector Machine Regression	63
	Subdivision Surfaces in Feature Films	73
	Approximate Implicitization	81
	An Approach to Weak Approximate Implicitization	103
	A 4-Point Hermite Subdivision Scheme	113
	Univariate Adaptive Thinning	123
	Optimizing 3D Triangulations Using Discrete Curvature Analysis	135
	Refinable Spline Functions and Hermite Interpolation	147
	Approximating Digital Shapes by Parametric Surfaces	163
	Clifford Algebra and Flows	173
	Surface Self-Intersection	183
	Error Estimates for the web-Spline Method	195
	Hierarchical Scattered Data Filtering for Multilevel Interpolation Schemes	211
	Bounding the Hausdorff Distance Between Implicitly Defined and/or Parametric Curves	223
	Biangle Surface Patches	233
	Some Examples of Quasi-interpolants Constructed from Local Spline Projectors	243
	Single-Valued Tubular Surface Intersection Using Interval Arithmetic	253
	Surface Animation for Flower Growth	263
	Multiresolution Editing of Pasted Surfaces	273
	Knot Insertion Algorithms and Local Linear Independence	283
	Local Tension Methods for Bivariate Scattered Data Interpolation	293
	Data Reduction in Surface Approximation	315
	The Analytic Blossom	325
	Bezier Curves: Topological Convergence of the Control Polygon	347
	What is the Natural Generalization of Univariate Splines to Higher Dimensions?	355
	Local Lagrange Interpolation by Bivariate C[superscript 1] Cubic Splines	393
	Stability of Collocation by Smooth Splines for Volterra Integral Equations	405
	G[superscript 1]-Hermite Interpolation of Ruled Surfaces	413
	Recovering Structural Information from Triangulated Surfaces	423
	Lower Bounds for Bernstein-Bezier Condition Number	433
	Improved Bi-Laplacian Mesh Fairing	445
	Approximate Envelope Reconstruction for Moving Solids	455
	Towards the [mu]-Basis of a Rational Surface	467
	A Strategy for the Construction of Piecewise Linear Prewavelets over Type-1 Triangulations in any Space Dimension	477
	A Mixed Representation Approach to Offsets of Rational Curves	487
	Pedal Curves and Surfaces	497
	Generalizing the C[superscript 4] Four-directional Box Spline to Surfaces of Arbitrary Topology	507
	Moving Least Squares Approximation on the Sphere	517
	NURPS for Special Effects and Quadrics	527
	Computational Experiments with Resultants for Scaled Bernstein Polynomials	535
	Deformation With Hierarchical B-Splines	545