| Author |
Mann, Stephen, 1963-
|
| Title |
A blossoming development of splines / Stephen Mann. |
| Edition |
First edition. |
| OCLC |
200607CGR001 |
| ISBN |
1598291173 (electronic bk.) |
|
9781598291179 (electronic bk.) |
|
1598291165 (pbk.) |
|
9781598291162 (pbk.) |
| ISBN/ISSN |
10.2200/S00041ED1V01200607CGR001 doi |
| Publisher |
San Rafael, Calif (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, 2006. |
| Description |
1 electronic text (ix, 97 pages : illustrations\.) : digital file. |
| LC Subject heading/s |
Computer graphics -- Mathematics.
|
|
Splines.
|
|
Blossoming (Mathematics)
|
| SUBJECT |
Bézier and B-splines curves and surface.
|
|
Blossoming.
|
|
Computer-aided geometric design.
|
|
Splines.
|
|
Triangular and tensor product spline surfaces.
|
| System details note |
Mode of access: World Wide Web. |
|
System requirements: Adobe Acrobat Reader. |
| 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. |
|
Access may be restricted to authorized users only. |
|
Unlimited user license access |
| NOTE |
Compendex. |
|
INSPEC. |
|
Google book search. |
| Summary |
In this lecture, we study Bézier 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. Bézier/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 Bézier 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. |
| NOTE |
Google scholar. |
| Additional physical form available note |
Also available in print. |
| General note |
Part of: Synthesis digital library of engineering and computer science. |
|
Title from PDF t.p. (viewed on Nov. 8, 2008). |
|
Series from website. |
|
