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Fast Decomposition Algorithm Based on Two‐Dimensional Wavelet Transform for Image Processing of Graphic Design

Feifei Jiang and Wenting Yao

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: Graphic design is an important part of the design field today. In this era of information explosion, designs that can deliver information faster and more accurately are bound to gain popularity among the public. In this paper, we propose a fast decomposition algorithm image processing method based on a new transform of the wavelet transform, which mainly addresses the problems of large computation of feature points and long‐time consumption of traditional image processing algorithms. Firstly, the second‐order decomposition of the image is performed by wavelet function to obtain the low‐frequency components of the image, and the wavelet gradient vector is used to extract feature points from the overlapping regions of the low‐frequency image so that the transformation parameters of feature points can be obtained quickly under the low‐frequency image to guide the feature point extraction under the high‐frequency image; on this basis, an improved algorithm of image processing based on the fast decomposition algorithm of two‐dimensional wavelet transform with planar design is proposed. Using the properties of one‐way matching and directional consistency of feature point constraints, the mismatched point pairs are effectively eliminated to improve the feature point matching accuracy and real‐time performance. Finally, the effectiveness and feasibility of the proposed method are verified by two sets of experiments.

Date: 2021
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https://doi.org/10.1155/2021/5108622

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