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Proceedings Paper

Geometric Properties of Non-Differentiable Contours: Concurrent Spatial Harmonic and Fractal Analyses.
Author(s): F. M. Caimi; M. S. Schmalz
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Paper Abstract

A method for two-dimensional pattern recognition, applicable to particle shape and size determination, is presented which employs fractal geometric analysis. Fractal contour transformation presents several advantages over spatial harmonic analysis: 1.preservation of translation, rotation, and scale invariance 2.reduced reliance upon high-frequency Fourier transform coefficients 3.improved signal-to-noise ratio of the fractal transform over the Fourier transform for surface feature discrinination. Coordinate transformation is evaluated with respect to its effect upon feature discrimination in polar-mapped multivariable contours. A variety of non-differentiable contours are analyzed. Results are presented in terms of correlation, signal-to-noise ration, and computational load.

Paper Details

Date Published: 11 November 1985
PDF: 10 pages
Proc. SPIE 0573, Particle Sizing and Spray Analysis, (11 November 1985); doi: 10.1117/12.978032
Show Author Affiliations
F. M. Caimi, Harbor Branch Foundation (United States)
M. S. Schmalz, Harbor Branch Foundation (United States)

Published in SPIE Proceedings Vol. 0573:
Particle Sizing and Spray Analysis
Norman Chigier; Gerald W. Stewart, Editor(s)

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