English

Separation Surfaces in the Spectral TV Domain for Texture Decomposition

Computer Vision and Pattern Recognition 2016-08-24 v1 Spectral Theory

Abstract

In this paper we introduce a novel notion of separation surfaces for image decomposition. A surface is embedded in the spectral total-variation (TV) three dimensional domain and encodes a spatially-varying separation scale. The method allows good separation of textures with gradually varying pattern-size, pattern-contrast or illumination. The recently proposed total variation spectral framework is used to decompose the image into a continuum of textural scales. A desired texture, within a scale range, is found by fitting a surface to the local maximal responses in the spectral domain. A band above and below the surface, referred to as the \textit{Texture Stratum}, defines for each pixel the adaptive scale-range of the texture. Based on the decomposition an application is proposed which can attenuate or enhance textures in the image in a very natural and visually convincing manner.

Keywords

Cite

@article{arxiv.1511.04687,
  title  = {Separation Surfaces in the Spectral TV Domain for Texture Decomposition},
  author = {Dikla Horesh and Guy Gilboa},
  journal= {arXiv preprint arXiv:1511.04687},
  year   = {2016}
}
R2 v1 2026-06-22T11:45:33.655Z