Image Interpolation Method Based on Scatter Distribution

An interpolation method and point distribution technology, applied in the field of graphics and image processing, can solve the problems of loss of high-frequency components of images, failure to take into account the rate of change of gray value, blurring of image edges, etc., to achieve simple calculation, feasible effect, and high application value. Effect

Active Publication Date: 2022-04-19
TIANJIN UNIV
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Problems solved by technology

[0002] In the image processing problem, the traditional method only considers the influence of the gray value of the four direct neighbors around the sample point to be tested, but does not consider the influence of the change rate of the gray value between the adjacent points, so it has the nature of a low-pass filter. , resulting in the loss of high-frequency components of the zoomed image, and the edges of the image become blurred to a certain extent

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  • Image Interpolation Method Based on Scatter Distribution
  • Image Interpolation Method Based on Scatter Distribution

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Embodiment Construction

[0037] Technical scheme of the present invention is:

[0038] A kind of image restoration technique based on SSPH interpolation method, comprises the following steps:

[0039] Step 1, initialize the image;

[0040] Step 2, use the SSPH interpolation method to interpolate the required pixels and fill them into the image;

[0041] In smooth particle hydrodynamics, for any one-dimensional smooth function f(x), its integral expression is:

[0042]

[0043] Where δ(x-ξ) is the Dirac function, and Ω is the length of the interval containing x. In the smooth particle hydrodynamic method, if the compactly supported smooth function W(x-ξ,h) is used instead of the Dirac function, the approximate integral expression of f(x) is:

[0044]

[0045] Formula (2) makes the traditional SPH method, and now it is modified as follows, for f(x j ) for Taylor series expansion to x i point, you can get:

[0046]

[0047] Multiply the smooth function on both sides of the formula (3), and...

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Abstract

The invention belongs to the technical field of graphics and image processing. It proposes an image interpolation technology based on scattered point distribution. The technology adopts the method of corrected smooth particle hydrodynamics to perform interpolation calculation of function values, and fully considers various numerical problems in image processing. SSPH's interpolation correction method to solve the pixel interpolation problem. For this reason, the technical scheme adopted by the present invention is, based on the image interpolation method of scatter distribution, 1. read in a picture; 2. convert it into a grayscale image; Define the 25 pixels around the pixel as neighborhood particles, use the existing pixel information to interpolate the gray value of the pixel through the formula (9) and add it to the image; ④ Calculate the mean square error MSE and signal noise ratio. The invention is mainly applied to image processing occasions.

Description

technical field [0001] The invention belongs to the technical field of graphics and image processing, and relates to an image interpolation technology for performing pixel interpolation on a two-dimensional image by using a modified smooth particle fluid dynamics method. Background technique [0002] In the image processing problem, the traditional method only considers the influence of the gray value of the four direct neighbors around the sample point to be tested, but does not consider the influence of the change rate of the gray value between the adjacent points, so it has the nature of a low-pass filter. , resulting in the loss of high-frequency components of the zoomed image, and the edges of the image become blurred to a certain extent. The SSPH (Symmetricsmoothed particle hydrodynamics method) method can not only achieve continuous gray value, but also achieve continuous change rate of gray value, and also overcome the problem of image blurring on the edge. Content...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06T5/00G06T3/40G06F17/12G06F17/16G06F17/15
CPCG06T5/005G06T3/4007G06F17/12G06F17/16G06F17/15
Inventor 侯庆志石琨魏建国练继建
Owner TIANJIN UNIV
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