Fundamentals of Computer Aided Geometric Design

Open AccessBook

Fundamentals of Computer Aided Geometric Design

- 05 Sep 1996

1.3K

TL;DR: A classic reference and text, this book introduces the foundations used to create an accurate computer screen image using mathematical tools.

Chat with Paper

AI Agents for this Paper

Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps

Citations

Journal Article•10.1007/S002000100089

Properness and Inversion of Rational Parametrizations of Surfaces

Sonia Pérez-Díaz, +2 more

- 01 Apr 2002

- Applicable Algebra in Engineering, Commu...

TL;DR: This paper characterize the properness of rational parametrizations of hypersurfaces by means of the existence of intersection points of some additional algebraic hypersurface directly generated from the parametrio over a field of rational functions.

...read moreread less

40

•Book Chapter•10.1007/11537908_22

Spatial pythagorean hodograph quintics and the approximation of pipe surfaces

Zbyněk Šír, +1 more

- 05 Sep 2005

TL;DR: A geometrically invariant parameterization of the family of interpolants is introduced to identify a particular solution, which has the following properties: preserves planarity, i.e., the interpolant to planar data is a planar PH curve and has the best possible approximation order.

...read moreread less

40

Journal Article•10.1016/0010-4485(95)90750-A

Rational patches on quadric surfaces

Roland Dietz, +2 more

- 01 Jan 1995

- Computer-aided Design

TL;DR: Detailed constructions of rational Bezier patches from given boundaries on a unit sphere and on a hyperbolic paraboloid are presented based on a generalization of the stereographic projection to interpolation with rational curves on quadrics.

...read moreread less

40

•10.26153/TSW/607

Modeling and Designing Components with Locally Controlled Composition

Todd R. Jackson, +3 more

- 01 Jan 1998

TL;DR: The overall goal of this project is to identify the barriers preventing designers from accessing the unique and useful capabilities of SFF processes such as 3DP and provide solutions.

...read moreread less

40

Journal Article•10.1115/1.1906263

On the Effect of Dual Weights in Computer Aided Design of Rational Motions

Anurag Purwar, +1 more

- 01 Sep 2005

- Journal of Mechanical Design

TL;DR: In this paper, the influence of real weights on rational motion design has been investigated and it has been shown that the effect of real weight on the resulting motion is similar to that of a rational Bezier curve and how the change in dual part of a dual number weight affects the translational component of the motion.

...read moreread less

40