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
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