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Sparse approximation acceleration bilateral filtering method based on learning cosine dictionary

A technique of sparse approximation and bilateral filtering, which is applied in image enhancement, image analysis, instrumentation, etc., and can solve problems such as dictionary changes

Inactive Publication Date: 2019-08-06
NANJING UNIV OF SCI & TECH
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Problems solved by technology

Although this method provides better filtering accuracy than other methods, it has problems: (1) the dictionary does not vary with the kernel; (2) only the top N items of the dictionary are used to approximate the filtering kernel

Method used

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  • Sparse approximation acceleration bilateral filtering method based on learning cosine dictionary
  • Sparse approximation acceleration bilateral filtering method based on learning cosine dictionary
  • Sparse approximation acceleration bilateral filtering method based on learning cosine dictionary

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Embodiment Construction

[0008] combine figure 1 , a sparse approximation accelerated bilateral filtering method based on learning a cosine dictionary, including 1) converting the bilateral filter into a spatial convolution; 2) decomposing the spatial convolution into a linear combination of box filters, a total of two processes.

[0009] Converting a bilateral filter to a spatial convolution involves the following steps:

[0010] Step 1, the edge-preserving ability of BF comes from normalized convolution (1), according to the definition of BF, its formula can be divided into two parts: molecular (2) and the denominator (3), where the denominator is a special case of the numerator, and the spatial proximity K s (x) and radiation similarity K r (x) is a Gaussian function, x and y are image coordinates, and I(x) and I(y) are corresponding pixels.

[0011]

[0012]

[0013]

[0014] Sequence extension-based methods employ a linear combination of spatial convolutions to approximate BF with ...

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Abstract

The invention provides a sparse approximation acceleration bilateral filtering method based on a learning cosine dictionary, and the method comprises the following steps: 1, enabling a bilateral filter to be converted into spatial convolution through the one-dimensional cosine approximation of a range kernel; and 2, utilizing two-dimensional cosine approximation of the space kernel to solve the space volume integral into a box type filtering result with the computational complexity of O(1).

Description

technical field [0001] The invention relates to a bilateral filter technology for edge perception smoothing in computer vision, in particular a sparse approximation accelerated bilateral filtering method based on learning cosine dictionaries. Background technique [0002] Bilateral filters (BF), a basic tool for edge-aware smoothing, are computationally prohibitively expensive to run at higher resolutions / dimensions with large windows leading to unacceptable runtimes. This is because the non-linear convolution introduced by the range kernel leads to the implementation of BF with a computational complexity per pixel of O(σ s ), σ s Indicates the size of the filter window or the effectively supported radius of the spatial kernel. In order to solve the above problems, researchers have done a lot of research to convert the nonlinear convolution of BF into a spatial filter so that its computational complexity is the same as that of σ s irrelevant. Existing fast bilateral filt...

Claims

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Application Information

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IPC IPC(8): G06T5/00
CPCG06T2207/20028G06T5/70
Inventor 代龙泉王静如唐金辉
Owner NANJING UNIV OF SCI & TECH
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