Fuzzy vector morphological filtering method based on hypercomplex description

A morphological filtering and super-complex technology, applied in the field of image processing, can solve the problems of not obtaining better filtering effect, difficult to surpass VMF in filtering effect, and large amount of calculation.

Inactive Publication Date: 2015-07-15
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

Because this type of filter operator combines the advantages of the two vector sorting rules, it has a better filtering effect on color images, but at the same time, the amount of calculation is large, and the filtering effect is still difficult to surpass VMF.
[0007] In addition, many other vector morphological filtering methods have emerged in recent years, such as: vector morphological filtering methods based on PCA dimensionality reduction, and vector morphological filtering methods based on depth functions. Provided a new idea, but did not achieve a better filtering effect

Method used

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  • Fuzzy vector morphological filtering method based on hypercomplex description
  • Fuzzy vector morphological filtering method based on hypercomplex description
  • Fuzzy vector morphological filtering method based on hypercomplex description

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Embodiment Construction

[0029] The steps of the present invention are:

[0030] (1) Initialization: Input a color image f to be processed with a size of M×N, M and N represent the width and height of f respectively, and initialize a square structure element B with a size of (2i+1)×(2i+1) i , 1≤i≤round(min(M, N) / 400), round represents an integer after rounding, and initializes the loop variable i=1 of the sequence filter;

[0031] (2) Hypercomplex description of color images: According to the definition of hypercomplex numbers, any pixel q=Ф+rx+gy+bz in the color image f to be processed can be obtained, r, g and b represent three color components respectively, and Φ represents q The real part of , rx+gy+bz represents the imaginary part of the hypercomplex number, using Ф to give the polar coordinate expression q=ρe of q ξθ , ρ represents the modulus of q, ξ represents the characteristic axis of q, and θ represents the angle of q, and then the horizontal projection component q is obtained by using the...

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Abstract

The invention provides a fuzzy vector morphological filtering method based on hypercomplex description. The method includes the steps of carrying out hypercomplex description on each pixel of a color image to obtain three components representing pixel features, carrying out opening operation and closed operation on each pixel in the image in sequence and then obtaining a filtered image. According to the fuzzy vector morphological filtering method based on the hypercomplex description, hypercomplex numbers are utilized to describe the color image, a fuzzy lexicography sequence is led in, and consequently the fuzzy vector morphological filtering method has good recovering effects on the color images which are polluted by impulse noise.

Description

technical field [0001] The invention belongs to the technical field of image processing and relates to mathematical morphology theory and color image filtering. The invention can be applied to the removal of impulse noise in color images to realize color image enhancement and restoration. Background technique [0002] With the rapid development of image acquisition equipment and other related image hardware devices, the rapid improvement of computer performance, and the sensitivity of human vision to color information, but also because multi-channel images (color images, hyperspectral images) carry relatively Grayscale images have more information, and color images are widely used. In color image processing, color image filtering and denoising are very important. It is the premise of subsequent processing steps such as image edge extraction, image segmentation, and target recognition, and is an essential part of any image processing system. [0003] Many color image filteri...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06T5/00
Inventor 雷涛樊养余张辰锐王毅
Owner NORTHWESTERN POLYTECHNICAL UNIV
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