A Method of Image Denoising Based on Fourth Order Partial Differential Equation
A partial differential equation and image technology, applied in the field of image denoising, to achieve obvious denoising effect, suppress step effect, and superior denoising effect
Active Publication Date: 2019-11-22
江苏新视云科技股份有限公司
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[0003] In order to solve the deficiencies in the prior art, the purpose of the present invention is to provide a method for image denoising based on fourth-order partial differential equations, to solve the salt and pepper noise and the defects of visual effects in the current YK model, and to suppress the phenomenon of "ladder effect" and "outliers" yield
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[0033] The present invention will be further described below in conjunction with the accompanying drawings. The following examples are only used to illustrate the technical solution of the present invention more clearly, but not to limit the protection scope of the present invention.
[0034] The present invention is introduced in conjunction with PM model and YK model in the prior art:
[0035] PM model: Perona and Malik established an anisotropic diffusion equation (PM model) on the basis of the heat conduction equation (heat diffusion equation), and its energy functional is In the formula is the gradient operator, Ω is the image area, and f(·)≥0, f'(·)>0.
[0036] Using the gradient descent method to solve the minimum energy functional of the above energy functional, the diffusion equation can be obtained as: where div, are divergence operator and gradient operator respectively, u 0 (x,y) is the initial image, c( ) is the diffusivity function dependent on the image...
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The present invention discloses an image denoising method based on fourth-order partial differential equations. It is characterized by first proposing an improved smoothing operator for the situation where the non-convexity of the smoothing operator cannot guarantee the global unique minimum value of the energy functional. , a new model was established, which effectively suppressed the salt-and-pepper noise, but the visual effect was still lacking. In view of the insufficient visual effect of denoising in the new model, and in order to further suppress the "staircase effect" phenomenon and the occurrence of "isolated points", the gradient operator is introduced as an edge detection operator and combined with the Laplacian operator to construct a new energy Functional, establish a new model two; this model effectively removes salt and pepper noise, suppresses the "staircase effect" and "isolated point" phenomena, retains more texture details of the image, and has a denoising effect that is superior to the classic model. sex.
Description
technical field [0001] The invention relates to an image denoising method based on a fourth-order partial differential equation, and belongs to the technical field of image denoising. Background technique [0002] In the field of image processing and computer, image denoising is one of the most basic problems. The image processing method based on partial differential equation (Partial Differential Equation, PDE) has become a new type of image processing mathematical tool because of its local adaptive characteristics, formal norms and flexibility of model building, and has been applied to image processing. Multiple areas of processing. Perona and Malik proposed the classic anisotropic diffusion PM model for the first time. This model controls the diffusion degree of the image by a diffusion function about the image gradient modulus, so that the image can be diffused on a large scale in the area where the gradient modulus is small. Small-scale diffusion is carried out in are...
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IPC IPC(8): G06T5/00
CPCG06T2207/20182G06T5/70
Inventor 石兰芳聂子文周先春陈铭
Owner 江苏新视云科技股份有限公司