On the Geometry of Texture

Abstract

We consider texture images as a composition of manifolds in the feature-space. This geometrical interpretation leads to a natural way for texture enhancement. A flow, based on manifold volume minimization, yields a natural enhancement procedure for texture images. The 2D Gabor-Morlet transform is first used to decompose the image into sub-band images, where each sub-image corresponds to a different scale. Each sub-band image may be considered as a 3D manifold in a 5D space from which the original image can be reconstructed in a numerically stable way. Following our previous results, we then invoke Polyakov action from String Theory, and develop a minimization process through a geometric flow that efficiently enhances each sub-band image in a spatial-orientation feature space. Finally, the enhanced sub-band images are composed back into an enhanced texture image.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012030

Entities

People

  • Nir A. Sochen
  • Ravi Malladi
  • Ron Kimmel

Organizations

  • Technion – Israel Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Brain
  • Calculus Of Variations
  • Computer Vision
  • Coordinate Systems
  • Decomposition
  • Embedding
  • Equations
  • Filters
  • Frequency
  • Frequency Domain
  • Geometry
  • High Energy
  • Image Processing
  • Image Segmentation
  • Three Dimensional
  • Two Dimensional
  • Wavelet Transforms

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.
  • Fluid Dynamics.

Technology Areas

  • Space