Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
|
Buy Now
Computational Methods for Algebraic Spline Surfaces - ESF Exploratory Workshop (Paperback, Softcover reprint of hardcover 1st ed. 2005)
Loot Price: R2,927
Discovery Miles 29 270
|
|
Computational Methods for Algebraic Spline Surfaces - ESF Exploratory Workshop (Paperback, Softcover reprint of hardcover 1st ed. 2005)
Expected to ship within 10 - 15 working days
|
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."
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.