AN ALGEBRAIC APPROACH FOR MORPHOLOGICAL OPERATIONS ON 2D AND 3D IMAGES

被引:7
作者
BHATTACHARYA, P [1 ]
QIAN, K [1 ]
LU, X [1 ]
机构
[1] UNIV NEBRASKA LINCOLN, CTR COMMUN & INFORMAT SCI, LINCOLN, NE USA
关键词
MORPHOLOGY; ALGEBRAIC APPROACH; POLYNOMIALS; 3D THINNING; FAST FOURIER TRANSFORM; VOXEL REPRESENTATION;
D O I
10.1016/0031-3203(93)90176-W
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper describes an algebraic approach to morphological operations on 2D and 3D images. For 2D images, a matching algorithm based on mathematical morphology is given. For 3D images represented by voxels, algorithms are developed for the shape decomposition and thinning. The possible advantages of the algebraic approach are indicated by showing that a considerable speedup takes place (for large-sized templates) if the Fast Fourier Transform (FFT) is used to compute the convolutions.
引用
收藏
页码:1785 / 1796
页数:12
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