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ISHS Acta Horticulturae 406: II IFAC/ISHS Workshop :Mathematical & Control Applications in Agriculture & Horticulture

THE FRACTAL PATTERNS OF PLANTS IN FIELDS

Author:   D.L. Critten
Abstract:
We present a method of identifying plant species, using fractal properties. To do this, we first convert a 2dimensional image (x,y) into a 3-dimensional image (x,y,z) treating grey level as a contour plot, then carry out a Fourier analysis on the resulting ‘terrain’, to yield sets of harmonic amplitudes A(kx, ky, kz), k = wave number. Relationships between A, k, and N, the number of harmonics with amplitude greater than A are then established, and shown to vary a manner characteristic of the image under study, thus permitting discrimination.

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