The natural world is typically made up of 3D objects characterized by more or less complex internal structure. The purpose of this work is to investigate some 3D natural objects by fractal geometry and to discuss the results of texture-based segmentation. We suggest extending the use of fractals to 3D data (voxel type) by a fractal preserving approach. This approach achieves two opposite goals: Reduction of noise effects and homogeneity of fractal dimension (F) values. To calculate F we select the most homogeneous neighbourhood (in terms of fractal dimension) around each voxel using a focusing mechanism and a minimum-variance criterion. The validity of the proposed methodology has been confirmed by analyzing a Nuclear Magnetic Resonance (NMR) spatial sequence of a human head; in fact different complex structures has been enhanced. © 1988 SPIE.
Textural analysis of 3d objects by a fractal-preserving approach
DELLEPIANE, SILVANA;REGAZZONI, CARLO;SERPICO, SEBASTIANO;VERNAZZA, GIANNI
1988-01-01
Abstract
The natural world is typically made up of 3D objects characterized by more or less complex internal structure. The purpose of this work is to investigate some 3D natural objects by fractal geometry and to discuss the results of texture-based segmentation. We suggest extending the use of fractals to 3D data (voxel type) by a fractal preserving approach. This approach achieves two opposite goals: Reduction of noise effects and homogeneity of fractal dimension (F) values. To calculate F we select the most homogeneous neighbourhood (in terms of fractal dimension) around each voxel using a focusing mechanism and a minimum-variance criterion. The validity of the proposed methodology has been confirmed by analyzing a Nuclear Magnetic Resonance (NMR) spatial sequence of a human head; in fact different complex structures has been enhanced. © 1988 SPIE.
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