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Item Details
Title: A BLOSSOMING DEVELOPMENT OF SPLINES
By: Stephen Mann, Brian Barsky
Format: Paperback

List price: £40.95


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 1598291165
ISBN 13: 9781598291162
Publisher: MORGAN & CLAYPOOL PUBLISHERS
Pub. date: 28 June, 1905
Series: Synthesis Lectures on Computer Graphics and Animation
Pages: 108
Description: Presents Bezier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems. The analysis tool used in this lecture is blossoming. Blossoming is used to explore both Bezier and B-spline curves. It also looks at triangle diagrams, direct manipulation of B-spline curves, and more.
Synopsis: In this lecture, we study Bezier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bezier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bezier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.
Illustrations: black & white illustrations
Publication: US
Imprint: Morgan & Claypool Publishers
Returns: Non-returnable
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