A concept for parametric surface fitting which avoids the parametrization problem

被引:91
作者
Pottmann, H [1 ]
Leopoldseder, S [1 ]
机构
[1] Vienna Univ Technol, Inst Geometry, A-1040 Vienna, Austria
基金
奥地利科学基金会;
关键词
surface approximation; surface fitting; parametrization; active contour; B-spline surface; spline conversion; degree reduction; offset surface approximation;
D O I
10.1016/S0167-8396(03)00078-5
中图分类号
TP31 [计算机软件];
学科分类号
081202 [计算机软件与理论]; 0835 [软件工程];
摘要
An active contour model to surface approximation is presented. It adapts to the model shape to be approximated with help of local quadratic approximants of the squared distance function. The approach completely avoids the parametrization problem. The concept is open for inclusion of smoothing operators and shape constraints. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:343 / 362
页数:20
相关论文
共 54 条
[1]
[Anonymous], 3 D IMAGE PROCESSING
[2]
[Anonymous], 2001, P 3 INT C 3D DIG IM
[3]
BAJAJ C, 1995, P SIGGRAPH 95, P193
[4]
FRONT PROPAGATION AND PHASE FIELD-THEORY [J].
BARLES, G ;
SONER, HM ;
SOUGANIDIS, PE .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1993, 31 (02) :439-469
[5]
A METHOD FOR REGISTRATION OF 3-D SHAPES [J].
BESL, PJ ;
MCKAY, ND .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1992, 14 (02) :239-256
[6]
BLAKE A., 1998, Active Contours
[7]
Boggs P.T., 2008, ACTA NUMER, V4, P1, DOI [DOI 10.1017/S0962492900002518, 10.1017/s0962492900002518]
[8]
Boissonnat J.-D., 2000, P 16 ANN S COMP GEOM, P223
[9]
BRUNNET G, SURVEYS MATH IND, V3, P1
[10]
Geodesic active contours [J].
Caselles, V ;
Kimmel, R ;
Sapiro, G .
INTERNATIONAL JOURNAL OF COMPUTER VISION, 1997, 22 (01) :61-79