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56 results about "Fixed-point iteration" patented technology

In numerical analysis, fixed-point iteration is a method of computing fixed points of iterated functions. More specifically, given a function f defined on the real numbers with real values and given a point x₀ in the domain of f, the fixed point iteration is xₙ₊₁=f(xₙ), n=0,1,2,… which gives rise to the sequence x₀,x₁,x₂,… which is hoped to converge to a point x. If f is continuous, then one can prove that the obtained x is a fixed point of f, i.e., f(x)=x.

Texture mapping method based on triangular mesh simplification

The invention belongs to the technical field of image processing and particularly relates to a texture mapping method based on triangular mesh simplification. The texture mapping method comprises the following steps: simplifying a triangular network model and establishing a spring-mass-point model; parameterizing the spring-mass-point model to a final position of a rectangular region; by utilizing a process of simplifying the triangular network model, calculating an initial position of a deleted point in the parameterized rectangular region to obtain positions of all vertexes of an initial model in the parameterized rectangular region; parameterizing the initial model to establish the spring-mass-point model; fixing the boundary vertex and triggering inner point iteration until the position of an inner point is balanced to obtain a spring-mass-point model revised parameterized coordinate; and carrying out normalization processing to obtain a texture coordinate of a grid vertex, and carrying out texture mapping. According to the method, the texture coordinate of each triangular network grid vertex does not need to be solved and texture mapping can be directly carried out; the time complexity of the method can be reduced to the great extent and the time performance is improved.
Owner:XIAN UNIV OF SCI & TECH

Robust large-array MIMO target transmitting and receiving angle joint estimation method

ActiveCN107167785ASolve the problem of inaccurate estimation of receiving and receiving anglesSolve the missing rank problemWave based measurement systemsEstimation methodsRadar
The invention provides a robust large-array MIMO target transmitting and receiving angle joint estimation method, and belongs to the field of multiple-input multiple-output radar target parameter estimation. The method provided by the invention is based on linear shrinkage and a random matrix theory. Implementation of the method comprises the steps of building a random matrix model of observed data by using echo signals, solving maximum likelihood estimation of a covariance matrix through fixed-point iteration under the non-Gaussian noise background, acquiring robust covariance matrix estimation by using a linear shrinkage technology when the number of transmitting and receiving array elements is greater than the number of snapshots, building a robust cost function by using contour integration, Stieltjes transform and a residue theorem, and performing spectrum peak search on the cost function so as to solve the target transmitting and receiving angle. The method provided by the invention has the advantages that the method has robust estimation performance under the non-Gaussian noise background, and the method is applicable to a large-array system with the number of transmitting and receiving array elements being greater than the number of snapshots at the same time.
Owner:JILIN UNIV

Low-complexity dynamic asynchronous BP decoding method

The invention provides a low-complexity dynamic asynchronous information updating strategy aiming at the BP decoding algorithm of LDPC (Low Density Parity Check) codes. The low-complexity dynamic asynchronous information updating strategy comprises the steps of including a simple and direct positioning method based on the maximum fluctuation of the LLR (Log Likelihood Rate) of variable nodes and an information transmission form of utilizing the information calculation from two-step check nodes of check nodes to the variable nodes to the greatest degree, utilizing the principle that the convergence can be controlled by the control of the difference of the two adjacent calculation results in the error evaluation through the fixed-point iteration algorithm, selecting the LLR calculation of the variable nodes as an iterative function, and utilizing the check function of the check nodes to the greatest degree. According to the method, the variable nodes needing to be updated preferentially are positioned simply and directly, a trap set in the LDPC code words can be overcome rapidly, so that the iterations needed in decoding are reduced, the purpose that the algorithm can be converged rapidly can be achieved, and simultaneously, the decoding performance is promoted greatly.
Owner:SUN YAT SEN UNIV

Image matching method and system based on image matching and storage medium

The invention discloses an image matching method and system based on image matching and a storage medium. According to the image matching method based on image matching, through feature point extraction and feature point screening, image construction is completed; an image matching method is adopted, matching is carried out by adding attributes of edges, even if local features are difficult to distinguish due to similarity or the local features of the same object in the two images change, feature matching can be accurately achieved through distance relation constraints between feature points,the robustness of the matching method is effectively enhanced, and matching precision is guaranteed. Meanwhile, compared with a classical image matching technology such as an integer projection fixedpoint method (IPFP) and a step-by-step allocation algorithm (GA), the method adopts an advanced fast continuous projection fixed point iteration method to solve the optimal solution, a new projectionmethod is provided, the calculated amount is simplified in the optimization process, the speed of the image matching method is greatly improved, and the accuracy is improved to a certain degree on thebasis of the high accuracy of the image matching technology.
Owner:XIAN JIAOTONG LIVERPOOL UNIV

Collaborative filtering method based on domain correlation self-adaption

InactiveCN106227767AStrong correlationScore Prediction Adequate and EffectiveSpecial data processing applicationsAlgorithmThe Internet
A collaborative filtering method based on domain correlation self-adaption comprises the following steps that 1,the difference of an auxiliary domain and a target domain serves as a regularization term and is introduced into a traditional model to obtain a new model (shown in the description), wherein T is a rating matrix having a partially deleted item in the target domain, Z and T have the same rating item; the equation shown in the description represents an index set representing the target domain, wherein the equation is shown in the description; | | . | | F represents a Frobenius norm, wherein the equation is shown in the description; | | . | | * represents a nuclear norm,| | Z | | *represents the sum of all singular values of a matrix Z; gamma is a regularization parameter, eta < (0, 1) represents the similarity of the auxiliary domain and the target domain; 2,a regular optimization solution Z* = Z of the new model is calculated by using a fixed-point iteration algorithm. The collaborative filtering method can be applied to an Internet recommendation system, introduces the system to a prediction model of the target domain through self-adaptive estimation of their correlation, accordingly achieves knowledge migration effectively and improves the recommendation precision of the target domain.
Owner:HUAQIAO UNIVERSITY

Multi-discipline uncertainty propagation analysis method based on Newton iteration

The invention discloses a multi-discipline uncertainty propagation analysis method based on Newton iteration and belongs to the field of multi-discipline uncertainty propagation analysis. The multi-discipline uncertainty propagation analysis method comprises the following steps: firstly, reasonably characterizing uncertainty parameters under conditions of poor information and less data by utilizing an interval as shown in the description; secondly, setting initial upper and lower bounds shown in the description of a suitable coupling variable, wherein the initial value of k is 1; thirdly, carrying out single-discipline optimization to obtain upper and lower bounds of y(k+1), wherein y(k+1) is a value of y obtained in the kth time of circulating; and finally, calculating residual parameters and judging whether residual parameters are converged or not; if so, outputting a responding interval of a coupling state variable; otherwise, carrying out the next time of circulating until the residual parameters are converged. A numerical example shows that the multi-discipline uncertainty propagation analysis method based on the Newton iteration can be used for obtaining an accurate coupling variable responding interval under certain conditions; and compared with a fixed point iteration method, the convergence speed is higher and a new method is provided for the multi-discipline uncertainty propagation analysis.
Owner:BEIHANG UNIV

Impedance compensation method for enabling forward-back substitution load flow calculation of three-phase four-wire system power distribution network to be converged

The invention relates to an impedance compensation method for enabling forward-back substitution load flow calculation of a three-phase four-wire system power distribution network to be converged, and belongs to the technical field of power distribution network dispatching automation. The impedance compensation method solves the forward-back substitution load flow calculation convergence problem caused by too small neutral line grounding resistance, and the spectral radius of the jacobian matrix of fixed point iteration of the independent node voltage of the power distribution network in the power distribution network is utilized for judging the convergence of the load flow calculation. When the load flow calculation is not converged, a pair of opposite impedances is compensated between a neutral line grounding resistor and a grounding point through a spectrum in the power distribution network, after impedance compensation, a new node is added to the power distribution network, the newly-added node participates in the fixed point iteration of the independent node voltage of the power distribution network, the voltage of the newly-added node is obtained firstly, then the voltage of the newly-added node is utilized for solving the voltage of the neutral line node, therefore, the fixed point iteration is made to meet the condition of compressed mapping, and the convergence of the load flow calculation is achieved.
Owner:TSINGHUA UNIV +1

A Robust Joint Estimation Method of Transmitting and Receiving Angles for Large Array MIMO Radar Targets

ActiveCN107167785BSolve the missing rank problemSolve the problem of inaccurate estimation of receiving and receiving anglesWave based measurement systemsTransceiverArray element
The invention provides a robust large-array MIMO target transmitting and receiving angle joint estimation method, and belongs to the field of multiple-input multiple-output radar target parameter estimation. The method provided by the invention is based on linear shrinkage and a random matrix theory. Implementation of the method comprises the steps of building a random matrix model of observed data by using echo signals, solving maximum likelihood estimation of a covariance matrix through fixed-point iteration under the non-Gaussian noise background, acquiring robust covariance matrix estimation by using a linear shrinkage technology when the number of transmitting and receiving array elements is greater than the number of snapshots, building a robust cost function by using contour integration, Stieltjes transform and a residue theorem, and performing spectrum peak search on the cost function so as to solve the target transmitting and receiving angle. The method provided by the invention has the advantages that the method has robust estimation performance under the non-Gaussian noise background, and the method is applicable to a large-array system with the number of transmitting and receiving array elements being greater than the number of snapshots at the same time.
Owner:JILIN UNIV

A Texture Mapping Method Based on Triangular Mesh Simplification

The invention belongs to the technical field of image processing and particularly relates to a texture mapping method based on triangular mesh simplification. The texture mapping method comprises the following steps: simplifying a triangular network model and establishing a spring-mass-point model; parameterizing the spring-mass-point model to a final position of a rectangular region; by utilizing a process of simplifying the triangular network model, calculating an initial position of a deleted point in the parameterized rectangular region to obtain positions of all vertexes of an initial model in the parameterized rectangular region; parameterizing the initial model to establish the spring-mass-point model; fixing the boundary vertex and triggering inner point iteration until the position of an inner point is balanced to obtain a spring-mass-point model revised parameterized coordinate; and carrying out normalization processing to obtain a texture coordinate of a grid vertex, and carrying out texture mapping. According to the method, the texture coordinate of each triangular network grid vertex does not need to be solved and texture mapping can be directly carried out; the time complexity of the method can be reduced to the great extent and the time performance is improved.
Owner:XIAN UNIV OF SCI & TECH

An efficient and fast method for simulating hydraulic fracturing

A method for quickly and efficiently simulating hydraulic fracturing, comprising the following steps: 1) according to the finite element variational principle, obtain the weak form of hydraulic fracturing equations; 2) according to the weak form of the equations, discretize the , and use finite difference approximation to the first derivative of the fluid equation with respect to time, and obtain the finite element discrete scheme; 3) Singular value decomposition is performed on the stiffness matrix of the fluid equation, and the time domain and the space domain are decomposed; 4) The PGD Substituting the solution into the discrete format, the discrete equations decomposed in the time domain and the space domain are obtained respectively; 5) Solve with the alternating direction iterative method to obtain the size of X and T; 6) Repeat steps 4) and 5) to obtain each item X m and T m ; 7) Each item X obtained in step 6 m and T m Multiply and sum to obtain the PGD solution of the pressure field; 8) Perform fixed-point iteration on the fluid equation; 9) Output the pressure field p, and then obtain the displacement field u according to the solid discrete equation; 10) Calculate the fracture geometry parameters.
Owner:BEIJING INSTITUTE OF PETROCHEMICAL TECHNOLOGY +1
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