Shape Preserving Representations in Computer-aided Geometric Design

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Juan M. Peņa
Nova Science Publishers, 1999 - Computers - 233 pages
Contents: Introduction to Bezier and spline curves; Interpolation, shape control and shape properties; Shape properties of normalised totally positive bases; Bases with optimal shape preserving properties; Stability and error analysis of shape preserving representations; Blossoming and CAGD algorithms; A geometric approach to variation diminishing free-form curve schemes; Multivariate Bernstein polynomials, convexity and related shape properties; Shape properties of tensor-product Bernstein polynomials; Techniques for fair and shape-preserving surface fitting with tensor-product B-splines; Trigonometric B-basis for defining curves and surfaces; Trigonometric splines; a survey with new results.

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Contents

Bases with optimal shape preserving properties J M Pena
63
Stability and error analysis of shape preserving
85
Blossoming and CAGD algorithms M L Mazure
99
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