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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 consider the change rate of gray value, blurred image edges, etc., and achieve simple calculation, feasible effect and high application value Effect

Active Publication Date: 2020-11-10
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
  • 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 graphic image processing, and provides an image interpolation technology based on scatter distribution, which adopts a smooth particle fluid dynamics correction method to perform function value interpolation calculation, fully considers various numerical problems in image processing, and adopts an SSPH interpolation correction method to solve the interpolation problem of pixels. Therefore, the technical scheme adopted by the invention is as follows: the image interpolation method based on scatter distribution comprises the following steps: (1) reading a picture; (2) converting the picture into a grey-scale map; (3) traversing all pixel points to be interpolated, defining 25 pixel points around the pixel as neighborhood particles due to the fact that the pixel is in grid distribution, interpolating the gray value of the pixel point by using pixel information existing around through a formula (9), and supplementing the gray value into the image; and (4) calculating the mean square error MSE and the signal-to-noise ratio of the generated picture. The method 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 Applications(China)
IPC IPC(8): G06T5/00G06T3/40G06F17/12G06F17/16G06F17/15
CPCG06T3/4007G06F17/12G06F17/16G06F17/15G06T5/77
Inventor 侯庆志石琨魏建国练继建
Owner TIANJIN UNIV
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