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Cover Art
Author Mann, Stephen, 1963-

Title A blossoming development of splines / Stephen Mann.

Published San Rafael, Calif (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, 2006.


Location Call No. Status
Edition 1st ed.
Physical description 1 electronic text (ix, 97 pages : illustrations) : digital file.
monochrome rdacc
Series Synthesis lectures on computer graphics and animation, 1932-9003 ; #1.
Synthesis lectures in computer graphics and animation ; #1.
Notes Part of: Synthesis digital library of engineering and computer science.
Series from website.
Bibliography Includes bibliographical references (pages 93-94) and index.
Contents Introduction and background -- Polynomial curves -- B-splines -- Surfaces.
Restrictions Abstract freely available; full-text restricted to subscribers or individual document purchasers.
Summary In this lecture, we study B�ezier 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. B�ezier/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 B�ezier 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.
Other formats Also available in print.
System notes Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Notes Title from PDF t.p. (viewed on Nov. 8, 2008).
Subject Computer graphics -- Mathematics.
Blossoming (Mathematics)
Other uniform title Synthesis digital library of engineering and computer science.
Standard Number 10.2200/S00041ED1V01200607CGR001
ISBN 1598291173 (electronic bk.)
9781598291179 (electronic bk.)
1598291165 (paperback)
9781598291162 (paperback)