Logarithmic spiral grids for image processingA picture digitization grid based on logarithmic spirals rather than Cartesian coordinates is presented. Expressing this curvilinear grid as a conformal exponential mapping reveals useful image processing properties. The 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 fast, parallel noise-free rotation, scaling, and some projective transformations of pixel defined images. Conformality of the mapping preserves local picture-processing operations such as edge detection.
Document ID
19790068666
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Weiman, C. F. R. (General Electric Co., Space Div., Daytona Beach Fla., United States)
Chaikin, G. M. (NASA Goddard Institute for Space Studies New York, N.Y., United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1979
Subject Category
Instrumentation And Photography
Meeting Information
Meeting: Conference on Pattern Recognition and Image Processing