Geometric Properties of Non-Differentiable Contours: Concurrent Spatial Harmonic and Fractal Analyses.

F. M. Caimi; M. S. Schmalz

doi:10.1117/12.978032

11 November 1985 Geometric Properties of Non-Differentiable Contours: Concurrent Spatial Harmonic and Fractal Analyses.

F. M. Caimi, M. S. Schmalz

Proceedings Volume 0573, Particle Sizing and Spray Analysis; (1985) https://doi.org/10.1117/12.978032
Event: 29th Annual Technical Symposium, 1985, San Diego, United States

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.

Citation Download Citation

F. M. Caimi and M. S. Schmalz "Geometric Properties of Non-Differentiable Contours: Concurrent Spatial Harmonic and Fractal Analyses.", Proc. SPIE 0573, Particle Sizing and Spray Analysis, (11 November 1985); https://doi.org/10.1117/12.978032

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