11 November 1985 Geometric Properties of Non-Differentiable Contours: Concurrent Spatial Harmonic and Fractal Analyses.
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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.
© (1985) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
F. M. Caimi, F. M. Caimi, M. S. Schmalz, 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); doi: 10.1117/12.978032; https://doi.org/10.1117/12.978032
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