Non-Gaussian Scale Space Filtering with 2 by 2 Matrix of Linear Filters

Toshiro Kubota

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arXiv · 1110.0872

Non-Gaussian Scale Space Filtering with 2 by 2 Matrix of Linear Filters

Toshiro Kubota

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Abstract

Construction of a scale space with a convolution filter has been studied extensively in the past. It has been proven that the only convolution kernel that satisfies the scale space requirements is a Gaussian type. In this paper, we consider a matrix of convolution filters introduced in [1] as a building kernel for a scale space, and shows that we can construct a non-Gaussian scale space with a $2\times 2$ matrix of filters. The paper derives sufficient conditions for the matrix of filters for being a scale space kernel, and present some numerical demonstrations.

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Toshiro Kubota. 2011-10-04. Non-Gaussian Scale Space Filtering with 2 by 2 Matrix of Linear Filters. https://arxiv.org/abs/1110.0872

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