PARAMETRIZATION OF CLOSED SURFACES FOR 3-D SHAPE-DESCRIPTION
PARAMETRIZATION OF CLOSED SURFACES FOR 3-D SHAPE-DESCRIPTION
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DOI：
10.1006/cviu.1995.1013
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发表时间：
1995-03-01
影响因子：
4.5
通讯作者：
KUBLER, O
中科院分区：
文献类型：
--
作者：
BRECHBUHLER, C;GERIG, G;KUBLER, O
本文提出了简单连通三维物体表面的显式参数化表示和整体描述方法。新技术克服了早期方法的严重局限性（限于星形物体（D。H. Ballard和Ch.M. Brown，Computer Vision，Prentice-Hall，Englewood Cliffs，NJ，1981），横截面定位和形状的约束（F. Solina和R. Bajcsy，IEEE Trans. Pattern Anal.马赫内特尔12（2），1990，131-147; L. H. Staib和J.S.邓肯，《生物医学计算可视化》1992年（R. A. Robb，编），Vol. Proc. SPIE 108，pp. 90-104，1992），以及参数空间的非均匀分布）。我们通过定义从原始对象的表面到单位球体的表面的连续的一对一映射来参数化表面。参数化被配制成一个约束优化问题。通过基于热传导模型的初始映射获得实用的起始值。参数化使我们能够将物体表面扩展为一系列球谐函数，将二维封闭曲线的椭圆傅立叶描述子的概念扩展到三维（E。Persoon和K. S. Fu，IEEE Trans. System. Man Cybernetics 7（3），1977，388-397; F. P. Kuhl和Ch.R.贾迪纳，计算机。图形图像处理。18（3），1982，236-258）。通过将参数网和对象旋转到标准位置来获得不变的以对象为中心的描述符。新的方法说明与3-D测试对象。潜在的应用是3-D形状的卷积表面或部分表面的识别、分类和比较。(C)1995年学术出版社，公司，
This paper presents procedures for the explicit parametric representation and global description of surfaces of simply connected 3-D objects. The novel techniques overcome severe limitations of earlier methods (restriction to star-shaped objects (D. H. Ballard and Ch. M. Brown, Computer Vision, Prentice-Hall, Englewood Cliffs, NJ, 1981), constraints on positioning and shape of cross-sections (F. Solina and R. Bajcsy, IEEE Trans. Pattern Anal. Mach. Intell. 12(2), 1990, 131-147; L. H. Staib and J. S. Duncan, in Visualization in Biomedical Computing 1992 (R. A. Robb, Ed.), Vol. Proc. SPIE 108, pp. 90-104, 1992), and nonhomogeneous distribution of parameter space). We parametrize the surface by defining a continuous, one-to-one mapping from the surface of the original object to the surface of a unit sphere. The parametrization is formulated as a constrained optimization problem. Practicable starting values are obtained by an initial mapping based on a heat conduction model. The parametrization enables us to expand the object surface into a series of spherical harmonic functions, extending to 3-D the concept of elliptical Fourier descriptors for 2-D closed curves (E. Persoon and K. S. Fu, IEEE Trans. Syst. Man Cybernetics 7(3), 1977, 388-397; F. P. Kuhl and Ch. R. Giardina, Comput. Graphics Image Process. 18(3), 1982, 236-258). Invariant, object-centered descriptors are obtained by rotating the parameter net and the object into standard positions. The new methods are illustrated with 3-D test objects. Potential applications are recognition, classification, and comparison of convoluted surfaces or parts of surfaces of 3-D shapes. (C) 1995 Academic Press, Inc,