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A Method of Color Image Restoration in Quaternion Domain at Low Sampling Rate

A color image, low sampling rate technology, applied in the field of quaternion domain color image restoration

Inactive Publication Date: 2015-08-26
SOUTHEAST UNIV
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Problems solved by technology

[0032] Purpose of the invention: The technical problem to be solved by the present invention is to solve the color image restoration problem in the quaternion domain which is more extensive than the current image restoration problem in the complex domain, and to provide a color image restoration method in the quaternion domain at a low sampling rate

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  • A Method of Color Image Restoration in Quaternion Domain at Low Sampling Rate
  • A Method of Color Image Restoration in Quaternion Domain at Low Sampling Rate
  • A Method of Color Image Restoration in Quaternion Domain at Low Sampling Rate

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[0093] Below in conjunction with specific embodiment, further illustrate the present invention, should be understood that these embodiments are only used to illustrate the present invention and are not intended to limit the scope of the present invention, after having read the present invention, those skilled in the art will understand various equivalent forms of the present invention All modifications fall within the scope defined by the appended claims of the present application.

[0094] Such as figure 2 As shown, the color image restoration method in the quaternion domain at a low sampling rate, below we use image 3 Take the first picture as an example to explain how to implement it. Due to memory constraints, the size of the matrix that can be processed is limited, so we divide a color picture into several blocks and process it separately, including the following steps:

[0095] Step 1. Express the color image using the quaternion field. A 128×128 color image can use a...

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Abstract

The invention discloses a method for recovering a quaternion field color image in a low sampling frequency, and belongs to the technical field of digital picture processing. Firstly, a color image is expressed in a quaternion field, namely, values of an R component, a G component and a B component of the color image are respectively placed in three imaginary parts of a quaternion; and then downsampling is conducted to an original whole color image by utilizing an even stochastic matrix, and part of the sampled color image is obtained; furthermore, part of the color image is stored or conveyed; and finally the original color image is recovered through the part of the sampled color image by utilizing a real number expression form of the quaternion and quaternion matrix filling theory. The method for recovering the quaternion field color image in the low sampling frequency improves precision of recovering of the color image in the low sampling frequency and meanwhile simplifies complexity of sampling and storage content of data by utilizing a characteristic that a quaternion algorithm is good in binding force.

Description

technical field [0001] The invention relates to a method for restoring a color image in a quaternion domain at a low sampling rate, and belongs to the technical field of digital image processing. Background technique [0002] Quaternion q is a special hypercomplex number, which is an extended form of complex numbers. The quaternion q consists of 1 real part and 3 imaginary parts: [0003] q=R(q)+I(q)i+J(q)j+K(q)k(1) [0004] Among them, R(q), I(q), J(q), Indicates the field of real numbers, i, j, k are three imaginary units, satisfying the following properties: [0005] i 2 = j 2 =k 2 =ijk=-1(2) [0006] ij=-ji=k, jk=-kj=i, ki=-ik=j (3) [0007] The conjugate and modulus of a quaternion are defined as: [0008] q ‾ = R ( q ) - I ( q ) i - J ( ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06T5/00
Inventor 韩旭伍家松杨冠羽王征严路舒华忠
Owner SOUTHEAST UNIV
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