23 November 1994 Fourier transforms and fractals in the food and agricultural industry
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Proceedings Volume 2249, Automated 3D and 2D Vision; (1994); doi: 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.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Reyer Zwiggelaar, Christine R. Bull, "Fourier transforms and fractals in the food and agricultural industry", Proc. SPIE 2249, Automated 3D and 2D Vision, (23 November 1994); doi: 10.1117/12.196080; 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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