Computational Methods for Algebraic Spline Surfaces is popular PDF and ePub book, written by Tor Dokken in 2006-05-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Computational Methods for Algebraic Spline Surfaces can be Read Online from any device for your convenience.
Computational Methods for Algebraic Spline Surfaces Book PDF Summary
This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces (“COMPASS”), which was held from September 29 to October 3, 2003, at Schloß Weinberg, Kefermarkt (A- tria). The workshop was mainly devoted to approximate algebraic geometry and its - plications. The organizers wanted to emphasize the novel idea of approximate implici- zation, that has strengthened the existing link between CAD / CAGD (Computer Aided Geometric Design) and classical algebraic geometry. The existing methods for exact implicitization (i. e. , for conversion from the parametric to an implicit representation of a curve or surface) require exact arithmetic and are too slow and too expensive for industrial use. Thus the duality of an implicit representation and a parametric repres- tation is only used for low degree algebraic surfaces such as planes, spheres, cylinders, cones and toroidal surfaces. On the other hand, this duality is a very useful tool for - veloping ef?cient algorithms. Approximate implicitization makes this duality available for general curves and surfaces. The traditional exact implicitization of parametric surfaces produce global rep- sentations, which are exact everywhere. The surface patches used in CAD, however, are always de?ned within a small box only; they are obtained for a bounded parameter domain (typically a rectangle, or – in the case of “trimmed” surface patches – a subset of a rectangle). Consequently, a globally exact representation is not really needed in practice.
Detail Book of Computational Methods for Algebraic Spline Surfaces PDF
- Author : Tor Dokken
- Release : 24 May 2006
- Publisher : Springer Science & Business Media
- ISBN : 9783540271574
- Genre : Mathematics
- Total Page : 239 pages
- Language : English
- PDF File Size : 9,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Computational Methods for Algebraic Spline Surfaces by Tor Dokken, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.