Energy functional based image smoothing and sharpening algorithm

An energy functional, image smoothing technology, applied in image enhancement, image data processing, computing and other directions, can solve the problem of not fully complying with the morphological principles of image processing, resulting in ladder effects and other problems

Inactive Publication Date: 2015-03-25
NANJING UNIV OF INFORMATION SCI & TECH
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[0003] The image processing method based on the partial differential equation is based on the continuous mathematical model of the image, so that the image changes according to a specified partial differential equation. The most representative algorithm based on the variational model is the nonlinear partial differential equation denoising algorithm ( TV algorithm), which classifi

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  • Energy functional based image smoothing and sharpening algorithm

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[0027] In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention.

[0028] Step 1: Build a noise image model I 0 =KI, in order to make the denoised image sufficiently close to the original image, a minimization model is now established Find the Lagrangian equation of this formula and establish the dynamic equation The Neumann boundary is introduced, so that the dynamic equation is equivalent to the anisotropic diffusion equation ∂ I ∂ t = div ( g ( | ▿ I | ) ▿ I ) ∂ I ∂ n = 0 I ( x , y , 0 ) = I 0 , In this way, starting from the minimization problem, the anisotropic diffusion e...

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Abstract

The invention relates to an energy functional based image smoothing and sharpening algorithm. The energy functional based image smoothing and sharpening algorithm comprises the following steps of 1 converting an anisotropic diffusion equation into a minimized energy functional, 2 representing a dynamic equation in an internal coordinate mode, 3 establishing the energy functional (shown in the description), 4 establishing a gradient threshold function k = e - at of an image, 5 introducing a fidelity item (shown in the description) to establish the energy functional based image smoothing and sharpening algorithm and 6 adopting a central difference numerical algorithm to further process a result obtained in the step 5. By means of the energy functional based image smoothing and sharpening algorithm, information amount required by the algorithm is low, the algorithm is simple, image denoising is achieved, and polluted images are more approximate to original images.

Description

Technical field [0001] The invention relates to the field of image denoising algorithms, in particular to an image denoising algorithm based on energy functionals. Background technique [0002] The main sources of image noise are random Gaussian noise during image acquisition and salt and pepper noise during image propagation. Traditional denoising methods include median filtering, homomorphic filtering, inverse filtering, etc. These methods can achieve the purpose of removing noise to a certain extent, but they have a common weakness. When denoising, they will also make the image The edges are blurred, and even the detailed texture information of the image is lost. Compared with traditional methods, image processing methods based on partial differential equations have stronger local adaptive capabilities and higher flexibility, and have important applications in image denoising, segmentation, edge detection, and enhancement. [0003] The image processing method based on partial ...

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Application Information

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IPC IPC(8): G06T5/00
Inventor 周先春汪美玲石兰芳周林锋吴琴
Owner NANJING UNIV OF INFORMATION SCI & TECH
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