Paper
16 February 2006 Anisotropic filtering with nonlinear structure tensors
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Abstract
We present an anisotropic filtering scheme which uses a nonlinear version of the local structure tensor to dynamically adapt the shape of the neighborhood used to perform the estimation. In this way, only the samples along the orthogonal direction to that of maximum signal variation are chosen to estimate the value at the current position, which helps to better preserve boundaries and structure information. This idea sets the basis of an anisotropic filtering framework which can be applied for different kinds of linear filters, such as Wiener or LMMSE, among others. In this paper, we describe the underlying idea using anisotropic gaussian filtering which allows us, at the same time, to study the influence of nonlinear structure tensors in filtering schemes, as we compare the performance to that obtained with classical definitions of the structure tensor.
© (2006) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Carlos-Alberto Castaño-Moraga and Juan Ruiz-Alzola "Anisotropic filtering with nonlinear structure tensors", Proc. SPIE 6064, Image Processing: Algorithms and Systems, Neural Networks, and Machine Learning, 60640O (16 February 2006); https://doi.org/10.1117/12.642918
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Cited by 2 scholarly publications.
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KEYWORDS
Anisotropic filtering

Nonlinear filtering

Gaussian filters

Image filtering

Linear filtering

Smoothing

Diffusion

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