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A Smooth Tetrolet Transform Algorithm

A stable and reconstructed algorithm technology, applied in computing, image enhancement, image analysis, etc., can solve problems such as Gibbs phenomenon and fusion image blurring, and achieve the effect of good calculation simplicity, stability and robustness, and elimination of square Gibbs phenomenon

Active Publication Date: 2022-01-11
ANHUI UNIVERSITY
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Problems solved by technology

[0007] Tetrolet transform has certain advantages in image compression, image noise reduction, image fusion, etc., and has been widely used, but it is prone to fusion image blur and Gibbs phenomenon in image fusion processing.

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  • A Smooth Tetrolet Transform Algorithm
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Embodiment Construction

[0038] The technical solution of the present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.

[0039] 1 Tetrolet transformation algorithm

[0040] 1.1 The basic idea of ​​Tetrolet transformation

[0041] The Tetrolet transform is a Harr-like wavelet transform of the basic concept of Tetrominoes proposed by Jens Krommweh, which can adaptively select the corresponding Tetrominoes to express sparsely the square area according to the local geometric characteristics of the image. Compared with the traditional multi-scale transform Wavelet, Curvelet and Contourlet, the reconstruction with the same number of transform coefficients can obtain better image quality.

[0042] The concept of the four-grid jigsaw puzzle was first proposed by Golomb and applied to the polygonal jigsaw puzzle in the jigsaw puzzle game, which is generally composed of four unit squares. If the edge geometric structure of the image is...

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Abstract

The invention discloses a stable Tetrolet transform algorithm. The steady Tetrolet transform is a new self-adaptive Harr type wavelet transform connected by four unit squares through edges, and the corresponding filter group is simple and effective. Compared with the standard two-dimensional wavelet transform, the stationary Tetrolet transform is a new multi-scale geometric transformation tool based on the four-panel puzzle, which can effectively capture the anisotropic characteristics in the image through multi-direction selection. In the present invention, the decomposition and reconstruction algorithms of the stationary Tetrolet transformation are described in detail, and the decomposition of the image by the stationary Tetrolet transformation is simulated and analyzed. The experimental results show that compared with the traditional algorithm, the proposed algorithm can effectively obtain better sparse representation while retaining the edge and texture information of the original image, and can eliminate the defect of Tetrolet transform algorithm for image fusion.

Description

technical field [0001] The invention relates to a steady Tetrolet transform algorithm, in particular to an effective steady Tetrolet transform algorithm based on Harr wavelet transform. Background technique [0002] With the emergence of multi-scale geometric analysis algorithms, computational harmonic analysis and sparse approximation algorithms have been developed rapidly and widely used. In digital image processing, in order to obtain the detailed components of multi-scale images, the key is to realize the sparse approximation expression of the image, and to reconstruct and approximate the original image with as few coefficients as possible. Wavelet transform is an early multi-scale and multi-resolution analysis method with unique time-frequency local analysis ability. However, the study found that wavelet transform has the characteristics of "isotropy", which makes it difficult to express higher-dimensional geometric features, and cannot accurately express the edge dire...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06T5/10
CPCG06T5/10G06T2207/20221G06T2207/20064
Inventor 张德祥寻丽娜张晶晶阎庆
Owner ANHUI UNIVERSITY
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