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Gradient Processing Method of Graphics and Images Based on Triple Correlation Continued Fraction Thiele Mixed Rational Interpolation

A processing method and technology of graphics and images, applied in the directions of graphics and image conversion, image data processing, image enhancement, etc., can solve the problems of slow gradient speed and blurring of computer pictures, and achieve good running effect, natural imaging effect and good running speed Effect

Active Publication Date: 2022-06-24
HEFEI UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] The technical problem to be solved in the present invention is to solve the problem that the existing interpolation algorithm causes the slow or blurred gradient of computer pictures, and proposes a graphic image gradient processing method based on triple-correlation continued fraction Thiele mixed rational interpolation, which has good Running effect and running speed, and the imaging effect is more natural and smooth

Method used

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  • Gradient Processing Method of Graphics and Images Based on Triple Correlation Continued Fraction Thiele Mixed Rational Interpolation
  • Gradient Processing Method of Graphics and Images Based on Triple Correlation Continued Fraction Thiele Mixed Rational Interpolation
  • Gradient Processing Method of Graphics and Images Based on Triple Correlation Continued Fraction Thiele Mixed Rational Interpolation

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Experimental program
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Embodiment 1

[0115] Construction of Thiele Mixed Rational Interpolation for Tri-Associated Continued Fractions:

[0116] 1. Construction of Thiele Mixed Rational Interpolation of Three-Associated Continued Fractions:

[0117] Thiele interpolation and associative continued fraction interpolation are now two widely popular interpolation algorithms. The advantage of the continuous fraction is that the structure is simple and the calculation is convenient.

[0118] give a set of coordinates for a set of points

[0119]

[0120] and a function

[0121] f(x)∈C 3[n / 3]+3 [a, b] (3.1.2)

[0122] Through the above formula, it can be extended to the following interpolation formula:

[0123]

[0124] when

[0125] ω 0 (x)=1,

[0126] ω i (x)=(x-x 0 )(x-x 1 )…(x-x i-1 ), i=1, 2, ..., 3[n / 3]+2 (3.1.4)

[0127] with f[x 0 , x 1 ,...,x i ] represents the different difference f(x) in the point set x 0 , x 1 ,...,x i definition

[0128] f[x p ]=f(x p ), p=0, 1, ..., 3[n / 3]+2

[...

Embodiment 2

[0211] Using the interpolation method given in Embodiment 1 to realize the gradual change processing of graphic images, the flow chart of the processing is as follows figure 1 shown, the specific steps are:

[0212] ①, image reading

[0213] Select to read the source picture and two target pictures, there are three pictures in total, which are loaded into the processing system memory by the loading module;

[0214] ②, image analysis

[0215] Overlap the three pictures, take three rows or three columns each time, and form a 3*3 matrix, which is convenient for the next calculation;

[0216] ③, image processing

[0217] The parameters are calculated by the three-associative continuous fraction Thiele mixed rational interpolation algorithm, and the obtained parameters are used to add the manually inputted intermediate image serial number parameter to obtain the intermediate image from the first row (column) of the 3*3 matrix to the last row (column). , generate the correspondi...

Embodiment 3

[0233] Also using the above gradient method, the gradient processing results between the three different graphics are as follows: Figure 7 , 8 shown, Figure 7 20 intermediate images are set during processing, while Figure 8 Thirty intermediate images were set during processing.

[0234] Also use the above gradient method to process the gradient between the red five-pointed star and the blue circle, and the result is as follows Figure 9 shown.

[0235] It can be seen from the image gradient processing results of the above embodiments that the graphic image gradient processing method based on the three-associative continuous fraction Thiele mixed rational interpolation of the present invention has a good running effect and a relatively fast running speed. More importantly, , the gradient imaging effect is more natural and smooth.

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Abstract

The invention discloses a graphic image gradient processing method based on triple-correlation continued fraction Thiele mixed rational interpolation, belonging to the technical field of graphic image processing. Choose to read the source picture and two target pictures, there are three in total, loaded into the memory of the processing system by the loading module; overlap the three pictures, take three rows or three columns each time, and form a 3*3 matrix, which is convenient The next step is to calculate: calculate the parameters through the interpolation algorithm, use the obtained parameters, add the manually input intermediate image serial number parameters, find the intermediate image of the 3*3 matrix from the first row or column to the last row or column, and generate the corresponding intermediate image array ; Deparse the calculated digital stream into an image, and display the processing result. The graphic image gradient processing method based on the triple-correlation continued fraction Thiele mixed rational interpolation of the present invention has good running effect and running speed, and the imaging effect is relatively natural and smooth.

Description

technical field [0001] The invention belongs to the technical field of graphic image processing, and in particular relates to a graphic image gradient processing method based on three-associative continuous fraction Thiele mixed rational interpolation. Background technique [0002] With the development of technology, more and more industries such as games and film and television use gradient technology to generate tweened animations. For example, in the game engine Unity3d, there are Tween and Hotween easing animations; in the Html5 game engine Egret, there are easing animations Tween; the animation principle is to use a certain interpolation algorithm to adjust the intermediate state between the initial state and the end state of the object. Interpolate to get an intermediate image. Playing the intermediate image frame by frame creates an animation effect. In the film and television industry, especially in 3D animation, interpolation algorithms are often used to achieve c...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06T3/00G06T5/50G06T13/00
CPCG06T3/0012G06T5/50G06T13/00
Inventor 邹乐王晓峰李婷婷黄前静陈艳平邓锐
Owner HEFEI UNIV