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23 November 1994 Fourier transforms and fractals in the food and agricultural industry
Reyer Zwiggelaar, Christine R. Bull
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Proceedings Volume 2249, Automated 3D and 2D Vision; (1994) https://doi.org/10.1117/12.196080
Event: Optics for Productivity in Manufacturing, 1994, Frankfurt, Germany
Abstract
Links between the fractal Hausdorff-dimension, the Fourier transform of 2D scenes and image segmentation by texture are discussed. It is shown that the fractal Hausdorff-dimension can be derived by integration of the intensity of the spatial frequency domain (i.e. the Fourier plane) over a set of different band-limited spatial filters. The difference between a computational and optical approach to determine the Hausdorff-dimension are shown, with advantages of both methods discussed. Possible future directions of research/improvements are mentioned. Natural and simulated scenes are considered which apply to a wide range of situations in the agricultural and food industry.
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Reyer Zwiggelaar and Christine R. Bull "Fourier transforms and fractals in the food and agricultural industry", Proc. SPIE 2249, Automated 3D and 2D Vision, (23 November 1994); https://doi.org/10.1117/12.196080
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KEYWORDS
Fractal analysis
Fourier transforms
Spatial filters
3D vision
Image segmentation
Spatial frequencies
Agriculture
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