DESIGN AND RECOVERY OF 2-D AND 3-D SHAPES USING RATIONAL GAUSSIAN CURVES AND SURFACES

被引：46
作者：
GOSHTASBY, A
机构：
[1] Department of Electrical Engineering and Computer Science, University of Illinois at Chicago, Chicago, 60680-4348, IL
来源：
INTERNATIONAL JOURNAL OF COMPUTER VISION | 1993年 / 10卷 / 03期
关键词：
D O I：
10.1007/BF01539537
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A new representation for parametric curves and surfaces is introduced here. It is in rational form and uses Gaussian bases. This representation allows design of 2-D and 3-D shapes, and makes recovery of shapes from noisy image data possible. The standard deviations of Gaussians in a curve or surface control the smoothness of a recovered shape. The control points of a surface in this representation are not required to form a regular grid and a scattered set of control points is sufficient to reconstruct a surface. Examples of shape design, shape recovery, and image segmentation using the proposed representation are given.
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页码：233 / 256
页数：24
相关论文
共 61 条
[31]  
Ichida K., 1977, ACM Transactions on Mathematical Software, V3, P164, DOI 10.1145/355732.355737
[32]   SNAKES - ACTIVE CONTOUR MODELS [J].
KASS, M ;
WITKIN, A ;
TERZOPOULOS, D .
INTERNATIONAL JOURNAL OF COMPUTER VISION, 1987, 1 (04) :321-331
[33]  
Kochanek D. H. U., 1984, Computers & Graphics, V18, P33
[34]  
KUAN DT, 1986, TECHNIQUES 3 D MACHI, P219
[35]   MODEL-BUILDING OF 3-DIMENSIONAL POLYHEDRAL OBJECTS USING 3D EDGE INFORMATION AND HEMISPHERIC HISTOGRAM [J].
LAURENDEAU, D ;
POUSSART, D .
IEEE JOURNAL OF ROBOTICS AND AUTOMATION, 1987, 3 (05) :459-470
[36]  
Lee E.T, 1987, GEOMETRIC MODELLING, P3
[37]   CHOOSING NODES IN PARAMETRIC CURVE INTERPOLATION [J].
LEE, ETY .
COMPUTER-AIDED DESIGN, 1989, 21 (06) :363-370
[38]   A MULTISIDED GENERALIZATION OF BEZIER SURFACES [J].
LOOP, CT ;
DEROSE, TD .
ACM TRANSACTIONS ON GRAPHICS, 1989, 8 (03) :204-234
[39]  
Lorensen WE., 1987, COMPUT GRAPHICS-US, V21, P163
[40]   AN ALGORITHM FOR LEAST-SQUARES ESTIMATION OF NONLINEAR PARAMETERS [J].
MARQUARDT, DW .
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1963, 11 (02) :431-441
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