Mathematical methods for CAD (Book, 1992) [WorldCat.org]
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Mathematical methods for CAD

Author: J J Risler
Publisher: Cambridge ; New York : Cambridge University Press, 1992.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: J J Risler
ISBN: 052143100X 9780521431002 0521436915 9780521436915
OCLC Number: 26766106
Description: 196 pages : illustrations (some color) ; 24 cm
Contents: Ch. 1. B-splines. 1.1. Piecewise polynomial functions. 1.2. An example: Cubic splines. 1.3. B-splines: Fundamental properties. 1.4. The B-spline basis of P[subscript k, [tau], r]. 1.5. Basic Algorithms for B-splines. 1.6. Approximation by a spline curve. 1.7. Divided differences --
Ch. 2. Spline curves and Bezier curves. 2.1. Bernstein polynomials. 2.2. B-spline curves. 2.3. Algorithms for spline curves --
Ch. 3. Interpolation and complements. 3.1. Interpolation. 3.2. Other properties of the matrix N. 3.3. Matrix representation. 3.4. Junction between two curves. 3.5. Rational curves --
Ch. 4. Spline Surfaces. 4.1. Tensor products. 4.2. Particular case of Bezier surfaces. 4.3. Interpolation and approximation. 4.4. Bernstein polynomials. 4.5. Triangular Bezier patches. 4.6. Junction between Bezier patches. 4.7. Base points of rational Bezier patches. 4.8. Polyhedral splines. 4.9. Box splines --
Ch. 5. Triangulations. 5.1. Voroni diagram. 5.2. Generalities about triangulations. 5.3. Delaunay triangulations. 5.4. Construction Algorithm. 5.5. Remarks about complexity --
Ch. 6. Notions of real algebraic geometry. 6.1. Roots of one variable polynomials. 6.2. Resultants and discriminants. 6.3. Notions of semi-algebraic sets.
Other Titles: Méthodes mathématiques pour la CAO.
Responsibility: J.J. Risler.
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"...the principal advantage of this work is that it complements a fairly complete presentation of the standard material with material like triangulations and results from algebraic geometry, which is Read more...

 
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