Image extrapolation processing method

Abstract

An image extrapolation processing method comprises steps of determining coordinate variants of an image, interpolating known function points of the framework; constructing a Vandermonde matrix and a Vandermonde vector space, calculating the inner product between the base vectors of the subspace to obtain the degree gauge tensor of the subspace, obtaining the degree gauge tensor of the dual space of the subspace through a matrix inversion method, obtaining the base of the dual space through matrix operation, and transposing the base matrix of the dual space to obtain the pseudo inverse matrix of the Vandermonde matrix. Determining a position of the interpolated interval in the interpolation frame point; And obtaining a Vandermonde matrix with the same number of items as the interpolation framework according to the abscissa of the insertion point set. And multiplying the Vandermonde matrix of the insertion point set by the pseudo-inverse matrix to obtain an extrapolation matrix. And obtaining the pixel value of a new pixel point according to the extrapolation matrix, carrying out interpolation grid by grid in one dimension of the image pixel according to the pixel grid movement, converting the dimension, and carrying out interpolation in the other dimension after the image conversion dimension is completed until all interpolation is completed. And the image is more accurate and vivid, and development of scientific research and exploration, public security case solving and military reconnaissance is facilitated.

Description

technical field [0001] Embodiments of the present invention relate to the technical field of image processing, and in particular to an image extrapolation processing method. Background technique [0002] Existing interpolation techniques generally exist in professional image processing software (such as IrfanView) and image processing toolboxes in computer high-level languages ​​(such as Image Processing Toolbox in Matlab language). [0003] For IrfanView, although its source code cannot be really known, there are two interpolation amplifications during the running process. Since the interpolation method itself destroys the inherent additive group properties of the two-dimensional Euclidean plane, the pixels after the first interpolation enlargement The outer edge obviously exists in the enlarged image after the second interpolation, adding new noise. During the operation of IrfanView, because the two variables of x and y depend on each other, diagonal twill noise will appe...

AI Technical Summary

Problems solved by technology

The Lagrangian interpolation method in the existing mathematics textbooks and manuals only gives a few low-order interpolation coefficients, and the interpolation effect is not good

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