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84 results about "Characteristic polynomial" patented technology

In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the matrix as coefficients. The characteristic polynomial of an endomorphism of vector spaces of finite dimension is the characteristic polynomial of the matrix of the endomorphism over any base; it does not depend on the choice of a basis. The characteristic equation is the equation obtained by equating to zero the characteristic polynomial.

Characteristic point three-dimensional reconstruction method based on trifocal tensor

The invention relates to a characteristic point three-dimensional reconstruction method based on trifocal tensor, which includes the following steps: coding points, marking points and a ruler are arranged on the surface of the measured object; a digital camera is used to take photos of the measured object in multiple angles, and the photos are inputted to a computer for image processing to obtain the image coordinates (xd, x'd and x''d); all images are rearranged for normalization treatment according to the image coordinates (xd, x'd and x''d); the trifocal tensor of each group of images is respectively calculated to determine the three-dimensional point coordinates of the coding points and the marking points; each group of three-dimensional point coordinates is processed to obtain the three-dimensional coordinates (x, y and z) of each point in the unified coordinate system; the specific value of the length and the actual length is calculated through the ruler to obtain new three-dimensional point coordinates (x', y' and z') in metric space; the new three-dimensional point coordinates (x', y' and z') receive focusing control to obtain integrally optimized three-dimensional point coordinates. The three-dimensional reconstruction method in the invention has high calculation accuracy, simple use, convenient operation, needs only a portable digital camera, a common laptop, a group of coding points and marking points, and a ruler.
Owner:SHENYANG INST OF AUTOMATION - CHINESE ACAD OF SCI

Line structure cursor positioning method based on chessboard target

The invention discloses a line structure cursor positioning method based on a chessboard target, which comprises the following steps: calibrating a camera to obtain a distortion coefficient D of an internal parameter matrix of the camera, a rotation matrix Rcw of external parameters of the camera and a translation vector Tcw; eliminating camera distortion of the obtained light bar image; extracting a characteristic point Q' of the light bar center on the image from which the camera distortion is removed, and obtaining a homogeneous coordinate (u,v,1)-1 of the point under a pixel coordinate system; calculating the coordinates of a projection point Q" of the Q projected on a normalized image plane under the camera coordinate system according to the coordinates (u,v,1)-1 of the characteristicpoint Q' under the pixel coordinate system; connecting two points between the projection point Q" and the original point into a straight line to obtain a straight line equation under the camera coordinate system; calculating the coordinates of the characteristic point Q under the camera coordinate system by using simultaneous plane equation and linear equation: obtaining coordinates of all characteristic points on the light bar under the camera coordinate system; and fitting the light plane equation by using the obtained characteristic point coordinates. According to the method, all the characteristic points on the light bar can be extracted at the same time, and all the characteristic points on the light bar are calibrated.
Owner:TIANJIN UNIV

Method for analyzing impact on ultralow frequency oscillation of power system from uncertain parameters

The invention relates to a method for analyzing the impact on the ultralow frequency oscillation of a power system from uncertain parameters, and belongs to the technical field of grid safety. The method comprises the steps: building a unified frequency model which comprises a main generator set speed regulator of a system and a prime motor model; obtaining set parameters of the unified frequency model according to the operation state of the system, and selecting the uncertain parameters to be researched; calculating a transfer function and a characteristic polynomial, comprising the uncertain parameters, of the unified frequency model; calculating the expression of the characteristic polynomial at the ultralow frequency, and analyzing the impact on the stability of the system through the zero exclusion principle; drawing the value set of the characteristic polynomial through a value set method, and verifying and analyzing the impact on the stability of the system from the uncertain parameters. The method achieves the mechanism analysis of the impact on the ultralow frequency oscillation from the parameters of the system, is simple, is effective, and can reflect the cause of the ultralow frequency oscillation so as to take corresponding measures to inhibit the ultralow frequency oscillation.
Owner:YUNNAN POWER GRID

Cyclic redundancy check code generation apparatus and method

The invention relates to the transmission data checking field, in particular to a technology for generating a low-cost CRC check code by a hardware circuit. A device for generating a cyclic redundancy check code and a method thereof have a characteristic polynomial, namely g(x) is equal to sigma plus 1; the device comprises trigger groups which are respectively corresponding to x<n1>-x<nk> and formed by a plurality of serially connected triggers; the trigger groups are serially connected in the sequence of the serial numbers of the trigger groups; an exclusive-or gate is connected between two neighboring trigger groups in series; an output terminal of an inverter is connected with an input terminal of a DG1 trigger group; an input terminal of an exclusive nor gate is the input terminal of the device, and the other input terminal of the exclusive nor gate is connected with the output terminal of a DGk trigger group; the output terminal of the exclusive nor gate is connected with the input terminal of the inverter and the input terminals of each exclusive-or gate. In a circuit of the prior art, the inverter connected with each trigger is removed and the inverter is connected to invert before the data is input to the triggers connected in series, thus the method saves a great number of inverters, simplifies a CRC check code generation circuit, and lower the hardware cost.
Owner:ACTIONS ZHUHAI TECH CO

Unrestraint multi-camera picture matching method based on space-time consistency

The invention discloses an unrestraint multi-camera picture matching method based on space-time consistency. The method comprises the following steps of reading pictures captured by a reference camera and an auxiliary camera; extracting characteristic points of a current picture; calculating the characteristic description vector of each characteristic point; performing similarity comparison of the characteristic description vectors and establishing matching relations of corresponding characteristic points; querying stable matching relations in the matching relations, and according to the number of the stable matching relations, screening characteristic point sets used for calculating a transformation matrix; according to the matching relation of the screened characteristic point sets, calculating the transformation matrix to obtain the matching relation between pictures of the two cameras; and reading a next picture and repeating the abovementioned steps till the end. During the screening of the matching relations, the space-time consistency is fully considered. The effective prior information is obtained by retrieving the stable matching relations and is used for screening the current matching relation, so that the stability of image matching between adjacent frames of the unrestraint camera can be effectively enhanced, and the matching precision and efficiency is improved.
Owner:HUAZHONG UNIV OF SCI & TECH

Image compression method

The invention provides an image compression method. The image compression method includes the following steps that a data matrix of an image to be compressed are generated, and the data matrix is centralized or standardized; a variance matrix of the centralized or standardized data matrix is calculated; a characteristic polynomial of the variance matrix is converted into a high-order characteristic polynomial, and the number of roots of the high-order characteristic polynomial is judged; according to the number of the roots and a preset initial solution, iteration solving is conducted on the high-order characteristic polynomial, when the number of the roots acquired through iteration solving is four, the four roots are calculated according to a mathematical expression, acquired through the current iteration solving, of the characteristic polynomial, all characteristic roots are output, and characteristic vectors are calculated according to the characteristic roots; a transformation matrix is acquired according to the characteristic vectors, and the compressed image is acquired by multiplying the transformation matrix by the data matrix. By the adoption of the image compression method, the operand in the image compression process is small, and the compression speed is high.
Owner:GUANGDONG PLANNING & DESIGNING INST OF TELECOMM

Algebraic curve rasterization method based on pixel precision

InactiveCN102651137AMeet the requirements of real-time renderingQuick draw2D-image generationRelevant informationAlgorithm
The invention discloses an algebraic curve rasterization method based on pixel precision, comprising the following steps of: inputting an algebraic curve to be plotted and relevant information; limiting characteristic points of the curve into a pixel range to obtain a plurality of characteristic regions containing curve characteristic points; calculating crossed points of the curve and interfaces of the characteristic regions; constructing topology connecting information of the curve on the characteristic regions through the crossed points; determining the direction of the crossed points of the interfaces of the characteristic regions and utilizing a straight-line section to connect the adjacent characteristic regions to obtain a straight-line section fitting curve, wherein the straight-line section passes through the crossed points of the interfaces of the characteristic regions; and optimizing the straight-line section fitting curve, and plotting and displaying the curve. The algebraic curve rasterization method based on the pixel precision can obtain a high-quality curve through Newton iteration and guarantees the smoothness of the curve; and a numerical calculation process with complicated sub-resultant and high ordered equation rooting problems is omitted, and the curve can be conveniently plotted in real time.
Owner:ZHEJIANG UNIV

Prony analysis method suitable for low-frequency oscillation and subsynchronous oscillation identification

ActiveCN111046327AAvoid Threshold PickingAutomatic and accurateNeural architecturesNeural learning methodsSingular value decompositionAlgorithm
The invention provides a Prony analysis method suitable for low-frequency oscillation and subsynchronous oscillation identification, and the method comprises the steps: constructing a sample matrix ofan extended order based on actual measurement data; determining an effective rank of the sample matrix by adopting a method based on singular value decomposition, i.e., a calculation order of a Pronyalgorithm; solving a characteristic polynomial, and constructing a new matrix equation according to the solved characteristic root; adopting a BP neural network-based method to iteratively solve theconstructed matrix equation; and calculating Prony parameters: amplitude, attenuation factor, frequency and initial phase based on the solved characteristic root and the solution of the matrix equation. The invention provides a new method for order determination by using a Prony calculation method. The defects of a calculation order selection method in a traditional algorithm can be overcome; themethod is advantaged in that quasi-order determination is realized, iterative solution is carried out through employing a BP neural network-based method, defects of a conventional algorithm in complexmatrix calculation are improved, complex matrix equation solution speed of the Prony algorithm is improved, and the method is superior to a conventional Prony algorithm to a certain degree.
Owner:HOHAI UNIV +2
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