Fourier transforms and fractals in the food and agricultural industry

Reyer Zwiggelaar; Christine R. Bull

doi:10.1117/12.196080

Fourier transforms and fractals in the food and agricultural industry

Reyer Zwiggelaar, Christine R. Bull

Silsoe Research Institute

Research output: Contribution to conference › Paper

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.

Original language	English
Pages	349-358
Number of pages	10
DOIs	https://doi.org/10.1117/12.196080
Publication status	Published - 23 Nov 1994
Externally published	Yes
Event	Optics for Productivity in Manufacturing: Automated 3D and 2D Vision - Frankfurt, Germany Duration: 19 Jun 1994 → 24 Jun 1994

Conference

Conference	Optics for Productivity in Manufacturing
Country/Territory	Germany
City	Frankfurt
Period	19 Jun 1994 → 24 Jun 1994

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title = "Fourier transforms and fractals in the food and agricultural industry",

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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AB - 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.

U2 - 10.1117/12.196080

DO - 10.1117/12.196080

M3 - Paper

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EP - 358

T2 - Optics for Productivity in Manufacturing

Y2 - 19 June 1994 through 24 June 1994

ER -

Fourier transforms and fractals in the food and agricultural industry

Abstract

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