Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces

Ronald N. Goldman, Tom Lyche (Herausgeber)

Buch | Softcover

210 Seiten

1993
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-306-0 (ISBN)

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New approaches to knot insertion and deletion are presented in this unique, detailed approach to understanding, analyzing, and rendering B-spline curves and surfaces. This book serves as an excellent reference guide for graduate students involved in computer aided geometric design.

New approaches to knot insertion and deletion are presented in this unique, detailed approach to understanding, analyzing, and rendering B-spline curves and surfaces. Computer scientists, mechanical engineers, and programmers and analysts involved in CAD and CAGD will find innovative, practical applications using the blossoming approach to knot insertion, factored knot insertion, and knot deletion, as well as comparisons of many knot insertion algorithms. This book also serves as an excellent reference guide for graduate students involved in computer aided geometric design.

Chapter 1: An Introduction to Blossoming, Phillip J. Barry
Chapter 2: Algorithms for Progressive Curves: Extending B-Spline and Blossoming Techniques to the Monomial, Power, and Newton Dual Bases, Phillip J. Barry and Ronald N. Goldman
Chapter 3: Factored Knot Insertion, Phillip J. Barry and Ronald N. Goldman
Chapter 4: Knot Insertion Algorithms, Phillip J. Barry and Ronald N. Goldman
Chapter 5: Conversion Between B-Spline Bases Using the Generalized Oslo Algorithm, Tom Lyche, Knut Mørken, and Kyrre Strøm
Chapter 6: How Much Can the Size of the B-Spline Coefficients be Reduced by Inserting One Knot?, Tom Lyche and Knut Mørken
Chapter 7: An Envelope Approach to a Sketching Editor for Hierarchical Free-form Curve Design and Modification
Michael J. Banks, Elaine Cohen, and Timothy I. Mueller
Index.

Erscheint lt. Verlag	31.12.1993
Verlagsort	New York
Sprache	englisch
Maße	151 x 228 mm
Gewicht	333 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	0-89871-306-4 / 0898713064
ISBN-13	978-0-89871-306-0 / 9780898713060
Zustand	Neuware