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» On theoretical backgrounds of CAD
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CAD
2006
Springer
13 years 7 months ago
An example on approximation by fat arcs and fat biarcs
Fat arcs form bounding boxes for planar curves. An example on approximation by fat arcs, provided by Qun and Rokne, is corrected. The third derivative of the given curve segment u...
Jun-Hai Yong, Xiao Chen, Jean-Claude Paul
CAD
2006
Springer
13 years 7 months ago
Automatic least-squares projection of points onto point clouds with applications in reverse engineering
A novel method for projecting points onto a point cloud, possibly with noise, is presented based on the point directed projection (DP) algorithm proposed by Azariadis P., Sapidis ...
Yu-Shen Liu, Jean-Claude Paul, Jun-Hai Yong, Pi-Qi...
CAD
2007
Springer
13 years 7 months ago
The spherical visibility map
We introduce a novel representation for visibility in three dimensions and describe an efficient algorithm to construct it. The data structure is a spherical map that consists of...
Todd Keeler, John Fedorkiw, Sherif Ghali
CAD
2004
Springer
13 years 7 months ago
Turtle geometry in computer graphics and computer-aided design
: LOGO is a programming language incorporating turtle graphics, originally devised for teaching computing to young children in elementary and middle schools. Here we advocate the u...
Ron Goldman, Scott Schaefer, Tao Ju
CAD
2000
Springer
13 years 7 months ago
Error propagation in geometric constructions
In this paper we consider error propagation in geometric constructions from a geometric viewpoint. First we study affine combinations of convex bodies: This has numerous examples ...
Johannes Wallner, Rimvydas Krasauskas, Helmut Pott...