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37 results about "Hypercomplex number" patented technology

In mathematics, a hypercomplex number is a traditional term for an element of a unital algebra over the field of real numbers. The study of hypercomplex numbers in the late 19th century forms the basis of modern group representation theory.

Fast and parameter sectional type self-alignment method for strapdown inertial navigation system

The invention relates to a fast and parameter sectional type self-alignment method for a strapdown inertial navigation system. A coarse alignment process is finished through an analysis method, and then horizontal precise alignment and directional precise alignment are conducted. The directional precise alignment is divided into three stages, and each stage selects different adjustment time and attenuation coefficient to determine alignment parameters according to characteristics of the stage. Acceleration correction and angular velocity correction are calculated based on the alignment parameters, input acceleration information and angular velocity information are corrected, an initial attitude angle is obtained through hypercomplex number calculating by using corrected information, and a precise alignment process is finished. The fast and parameter sectional type self-alignment method finishes initial alignment through an analysis method and a compass method by collecting data of a gyroscope and an accelerometer, other sensor information is not required, and safety and security of the initial alignment are guaranteed. The fast and parameter sectional type self-alignment method selects the optimum adjusting time and attenuation coefficient according to alignment characteristics of different stages to calculate other alignment parameters, fast convergence performance and anti-interference performance of an alignment curve are improved.
Owner:SOUTHEAST UNIV

Carrier posture measuring method suitable for optical fiber gyroscope

The invention discloses a measuring method for a carrier gesture of an optical fiber gyro, which comprises determining an initial position parameter and an initial speed value of a carrier through an external device, initially aligning strapdown inertial navigation system of the optical fiber gyro, determining an initial gesture of the carrier which is relative to a navigation coordinate system, obtaining an initial value of a gesture hypercomplex number, determining a gesture renewal cycle H = tm-tm-1, calculating a increment delta phi of rotating vector through collecting a carrier which is output by the optical fiber gyro which is corresponded to an angle speed of the inertial coordinate system, obtaining a gesture renewal hypercomplex number q(H) of the gesture renewal cycle H through a relation of the rotating vector and the hypercomplex number, renewing the gesture hypercomplex number through a renewal equation of the gesture hypercomplex number, calculating a strapdown matrix T that a carrier coordinate system b is relative to a navigation coordinate system n, and obtaining a gesture angle of the carrier which is relative to the navigation coordinate system and the like. The invention solves the problem that a cone effect influences a measuring accuracy of the carrier gesture under a high dynamic environment of a carrier or a high-frequency vibration environment.
Owner:HARBIN ENG UNIV

Residual hypercomplex number dual decomposition multi-light spectrum and full-color image fusion method

The invention belongs to the field of image fusion technology, in particular to a multi-spectral image and panchromatic image fusion method based on residual hypercomplex symplectic decomposition. The method comprises the following steps of : respectively constructing models of residual images of a multi-spectral image and a panchromatic image by using hypercomplex, and respectively subjecting the hypercomplex residual models of the multi-spectral image to hypercomplex symplectic decomposition along the grayscale axis direction to obtain a simplex portion containing brightness information and a perplex portion including chromaticity information. The analysis shows that the residual of the multi-spectral image with high resolution can be recovered by substituting the simplex portion obtained by decomposing the low-resolution multi-spectral image with hypercomplex residual image of a high-resolution panchromatic image, and the fusion of the multi-spectral image and the panchromatic image can be achieved by synthesizing symplectic decomposition. The simulation result shows that the invention is free of visible spectral distortion. The evaluation result of various prior image fusion methods shows that the invention is superior to HIS, PCA and wavelet transformation fusion method.
Owner:FUDAN UNIV

High-speed algorithm for hypercomplex number Fourier transform and hypercomplex number cross correlation of color image

The present invention belongs to the technical field of image signal processing, in particular to a hyper-complex Fourier transformation and a rapid algorithm correlated with the hyper-complex of a colorful image. The colorful image is disposed as a vector entity by the hyper-complex, compared with the traditional algorithm, the color association of the image can be described better, and the hyper-complex cross correlation is widely applied on multiple field of the colorful image disposition. At present, the ''decomposing and transforming method'' and the ''decomposing vertical and parallel vector method'' are mainly applied in the colorful image disposition to make the rapid calculation of the hyper-complex Fourier transformation and the hyper-complex cross correlation. The present invention expands the signal disposition of the hyper-complex according to the real part and each imaginary part, and separately calculates by utilizing the traditional rapid Fourier transformation FFT tool, and restores the relative unit vector, and provides a new rapid algorithm for the hyper-complex Fourier transformation and the hyper-complex cross correlation of the colorful image. The analysis shows that compared with the existing rapid method, the algorithm is simple and convenient, and the amount of calculation is smaller.
Owner:上海龙东光电子有限公司

Speckle noise suppression method based on hypercomplex wavelet amplitude soft threshold

InactiveCN102819832AImprove denoising effectPreserve edge texture informationImage enhancementA wave amplitudeImage denoising
The invention discloses a speckle noise suppression method based on a hypercomplex wavelet amplitude soft threshold and relates to an image denoising method in the field of image processing. In order to overcome the defect that the conventional wavelet threshold cannot reach an optimal effect, the speckle noise suppression method comprises the following steps of: 1, performing HWT (hypercomplex wavelet transform) on a noise image to obtain a hypercomplex wavelet coefficient; 2, converting the hypercomplex wavelet coefficient represented by a real part and an imaginary part into an amplitude-phase representation form; 3, estimating the noise threshold of the hypercomplex wavelet amplitude coefficient; 4, performing soft threshold processing on the hypercomplex wavelet amplitude coefficient according to the noise threshold; and 5, combining the processed hypercomplex wavelet amplitude coefficient and an unprocessed phase system, and performing hypercomplex wavelet inverse transformation to obtain the image denoising result. According to the method, the capacity of representing the hypercomplex wavelet phase texture can be exerted, so that the approximate optimal threshold of the noise suppression is selected; and moreover, the texture structure information of the image is kept, and an ideal image denoising result is obtained.
Owner:HARBIN INST OF TECH

Carrier posture measuring method suitable for optical fiber gyroscope

The invention discloses a measuring method for a carrier gesture of an optical fiber gyro, which comprises determining an initial position parameter and an initial speed value of a carrier through anexternal device, initially aligning strapdown inertial navigation system of the optical fiber gyro, determining an initial gesture of the carrier which is relative to a navigation coordinate system, obtaining an initial value of a gesture hypercomplex number, determining a gesture renewal cycle H = tm-tm-1, calculating an increment delta phi of rotating vector through collecting a carrier which isoutput by the optical fiber gyro which is corresponded to an angle speed of the inertial coordinate system, obtaining a gesture renewal hypercomplex number q(H) of the gesture renewal cycle H througha relation of the rotating vector and the hypercomplex number, renewing the gesture hypercomplex number through a renewal equation of the gesture hypercomplex number, calculating a strapdown matrix Tthat a carrier coordinate system b is relative to a navigation coordinate system n, and obtaining a gesture angle of the carrier which is relative to the navigation coordinate system and the like. The invention solves the problem that a cone effect influences a measuring accuracy of the carrier gesture under a high dynamic environment of a carrier or a high-frequency vibration environment.
Owner:HARBIN ENG UNIV

Residual hypercomplex number dual decomposition multi-light spectrum and full-color image fusion method

The invention belongs to the field of image fusion technology, in particular to a multi-spectral image and panchromatic image fusion method based on residual hypercomplex symplectic decomposition. The method comprises the following steps of : respectively constructing models of residual images of a multi-spectral image and a panchromatic image by using hypercomplex, and respectively subjecting the hypercomplex residual models of the multi-spectral image to hypercomplex symplectic decomposition along the grayscale axis direction to obtain a simplex portion containing brightness information anda perplex portion including chromaticity information. The analysis shows that the residual of the multi-spectral image with high resolution can be recovered by substituting the simplex portion obtained by decomposing the low-resolution multi-spectral image with hypercomplex residual image of a high-resolution panchromatic image, and the fusion of the multi-spectral image and the panchromatic image can be achieved by synthesizing symplectic decomposition. The simulation result shows that the invention is free of visible spectral distortion. The evaluation result of various prior image fusion methods shows that the invention is superior to HIS, PCA and wavelet transformation fusion method.
Owner:FUDAN UNIV
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