LOGARITHMIC SPIRAL GRIDS FOR IMAGE-PROCESSING AND DISPLAY

被引:82
作者
WEIMAN, CFR
CHAIKIN, G
机构
[1] Department of Mathematical and Computing Sciences, Old Dominion University, Norfolk
[2] Brain Research Laboratory, New York University Medical Center, New York
来源
COMPUTER GRAPHICS AND IMAGE PROCESSING | 1979年 / 11卷 / 03期
关键词
D O I
10.1016/0146-664X(79)90089-3
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A picture digitization grid based on logarithmic spirals rather than Cartesian coordinates is presented. Expressing this curvilinear grid as a conformal mapping yields many geometric observations useful for computer graphics and picture processing. The exponential mapping induces a computational simplification that suggests parallel architectures in which most geometric transformations are effected by data shifting in memory rather than arithmetic on coordinates. These include noise-free rotation, scaling, and some projective transformations. Conformality of the mapping also preserves many important local picture-processing operattions such as edge detection. Real-time animation or processing of arbitrarily shaded pictures is suggested. © 1979.
引用
收藏
页码:197 / 226
页数:30
相关论文
共 32 条
[11]  
Smith, Introduction and survey of polyautomata theory, Theory of Self-Reproducing Automata, (1975)
[12]  
Horn, Determining lightness from an image, Computer Graphics and Image Processing, 3, pp. 277-299, (1974)
[13]  
Bishop, Neurophysiology of binocular single vision and steropsis, Handbook of Sensory Physiology, Vol. VII/3, Part A, Chap. 4 Central Processing of Visual Information, (1973)
[14]  
Microelectronics, (1977)
[15]  
Freeman, On the encoding of arbitrary geometric configurations, IEEE Transactions on Electronic Computers, 10 EC, pp. 260-268, (1961)
[16]  
Rothstein, Weiman, Parallel and sequential specification of a context sensitive language for straight lines on grids, Computers Graphics and Image Processing, 5, pp. 106-124, (1976)
[17]  
Schultz, Zur Anatomie und Physiologie der Retina, Archiv für Mikroskopische Anatomie, 2, pp. 175-286, (1866)
[18]  
Pirenne, Vision and the Eye, (1948)
[19]  
Davison, The Eye, Vol. 2A, Visual Function in Man, (1976)
[20]  
Jung, Visual perception and neurophysiology, Handbook of Sensory Physiology, Vol. 7/3A, (1973)