2ND-ORDER SURFACE-ANALYSIS USING HYBRID SYMBOLIC AND NUMERIC OPERATORS

被引:50
作者
ELBER, G [1 ]
COHEN, E [1 ]
机构
[1] UNIV UTAH,DEPT COMP SCI,SALT LAKE CITY,UT 84112
来源
ACM TRANSACTIONS ON GRAPHICS | 1993年 / 12卷 / 02期
关键词
ALGORITHMS; THEORY;
D O I
10.1145/151280.151283
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
Results from analyzing the curvature of a surface can be used to improve the implementation, efficiency, and effectiveness of manufacturing and visualization of sculptured surfaces. We develop a robust method using hybrid symbolic and numeric operators to create trimmed surfaces, each of which is solely convex, concave, or saddle and partitions the original surface. The same method is also used to identify regions whose curvature lies within prespecified bounds.
引用
收藏
页码:160 / 178
页数:19
相关论文
共 25 条
[1]   TWISTS, CURVATURES AND SURFACE INTERROGATION [J].
BARNHILL, RE ;
FARIN, G ;
FAYARD, L ;
HAGEN, H .
COMPUTER-AIDED DESIGN, 1988, 20 (06) :341-&
[2]   SURFACE ANALYSIS METHODS. [J].
Beck, James M. ;
Farouki, Rida T. ;
Hinds, John K. .
IEEE Computer Graphics and Applications, 1986, 6 (12) :18-36
[3]  
Carmo M. P. Do, 1976, DIFFERENTIAL GEOMETR
[4]   FREE-FORM SOLID MODELING WITH TRIMMED SURFACE PATCHES [J].
CASALE, MS .
IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1987, 7 (01) :33-43
[5]   DISCRETE B-SPLINES AND SUBDIVISION TECHNIQUES IN COMPUTER-AIDED GEOMETRIC DESIGN AND COMPUTER-GRAPHICS [J].
COHEN, E ;
LYCHE, T ;
RIESENFELD, R .
COMPUTER GRAPHICS AND IMAGE PROCESSING, 1980, 14 (02) :87-111
[6]  
COHEN E, 1986, J APPROX THEOR, V46
[7]  
COHEN E, 1986, ACM T GHRAPH, V4, P171
[8]  
DILL JC, 1981, SIGGRAPH, P153
[9]  
ELBER G, 1990, SIGGRAPH, V90, P95
[10]  
Elber G, 1992, THESIS U UTAH