Open AccessBook
Fundamentals of Computer Aided Geometric Design
Josef Hoschek,Dieter Lasser,Larry L. Schumaker +2 more
- 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.
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Abstract: A classic reference and text, this book introduces the foundations used to create an accurate computer screen image using mathematical tools. This comprehensive guide is a handbook for students and practitioners and includes an extensive bibliography for further study.
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Citations
Generating conjugate shapes using piecewise cubic spline functions
Shyh-Haur Su,Ching-Huan Tseng +1 more
TL;DR: In this article, a method called "piecewise generation" is proposed to generate conjugate shapes from sets of data points on original cutters using cubic spline functions to fit the points.
4
Neural network based geometric primitive for airfoil design
P. Di Stefano,L. Di Angelo +1 more
- 12 May 2003
TL;DR: A geometric primitive for CAD implementation is presented (Bezier neural network, BNN), specifically designed to reproduce geometric shapes with functional requirements such as aerodynamic and hydrodynamic profiles.
4
Construction of Trigonometric Box Splines and the Associated Non-Stationary Subdivision Schemes
TL;DR: This paper defines trigonometric box splines on regular triangular meshes using directional convolution and shows that the new subdivision scheme is a non-stationary generalization of the popular stationary Loop scheme.
4
Geometric computations in parameter space
Myung-Soo Kim,Gershon Elber,Joon Kyung Seong +2 more
- 12 May 2005
TL;DR: A family of related techniques for geometric computations in the parameter space of freeform curves and surfaces is reviewed, eliminating x,y, and z, so that the constraints are expressed in terms of the curve or surface parameters.
4
Efficient approximation of minimum energy curves with interpolatory constraints
Ruibin Qu,Jieping Ye +1 more
TL;DR: It is found that for a given set of data points on a plane, the 6-point interpolatory subdivision method could be the best choice among the current widely used methods due to its simplicity, locality, efficiency and most of all, its near-minimum energy property.
4
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