45 results about "Interpolation matrix" patented technology

The invention provides a space arc interpolation welding method based on a teaching robot. The space circular interpolation welding method includes the steps that coordinate values of any three points on an any space arc on a workpiece are preset; the circle center and the radius of a space circle corresponding to a space arc coordinate system and the space arc are determined according to the coordinate values of the three points; an attitude matrix of the robot under a workpiece coordinate system is obtained through calculation of the rolling angle, the pitch angle and the deflection angle of the robot at a teaching starting point under the workpiece coordinate system; the attitude matrix is converted into an initial matrix under the space arc coordinate system; a rotating matrix of the initial matrix around the Z axis of the space arc coordinate system is determined according to the circle center angle of the space circle corresponding to the space arc; a target matrix of a robot interpolation arc is determined according to the initial matrix and the rotating matrix; the target matrix is converted into an interpolation matrix under the workpiece coordinate system; and the robot conducts arc interpolation according to the interpolation matrix so as to weld the space arc. The operation method is simple, the machining precision is controllable, and the machining efficiency is high.

This application discloses an interpolation matrix construction method and device of the multi-grid method for electromagnetic simulation of integrated circuits. The method includes performing a posteriori error estimation on the electromagnetic field calculated based on the coarse grid for the multi-scale structural layout in multi-layer VLSI electromagnetic simulation. , and insert new nodes into the coarse grid area of ​​the integrated circuit where the error exceeds the set value to obtain a fine grid, forming an adaptive finite element subdivision grid; divide the new node into a boundary new node and an internal new node, and respectively establish a fine grid The interpolation relationship between the boundary new node, the internal new node and the coarse grid node to be solved; the interpolation relationship corresponding to the boundary new node and the internal new node are merged into the interpolation relationship between the coarse-fine grid , to obtain the overall interpolation matrix between coarse and fine grids applied to the multigrid method. The application can greatly improve the convergence speed of large-scale sparse matrix iterative solution in multi-layer VLSI electromagnetic simulation, thereby improving the solution efficiency.

An image self-adaptation down-sampling method depending on interpretation relates to image and video processing, and solves a problem that the current down-sampling and up-sampling are always independent, but image and video processing always needs both the down-sampling and the up-sampling synchronously. The method comprises the steps as follows: steps I, on a given input image, a down-sampling image is generated, and the down-sampling image interpolates an up-sampling image; steps II, adopting a down-sampling method based on a block, the quality of sampled images is improved; steps III, whether the images is related to content or not is judged, if so, a step IV is executed, and otherwise, a step V is executed; steps IV, for down-sampling is not related to the content, interpretation coefficient forms a interpretation matrix, a down-sampling image is obtained via the inversion of an interpretation process; and steps V, if not related to the content, initial coefficient is provided, an initial down-sampling image is obtained by using a method not related to the content, new interpretation coefficient is trained according to obtained images, and the down-sampling image is obtained via iteration. The method is applicable to the image and video processing.

The invention belongs to the technical field of electric system operation and control, and particularly relates to an electric system state estimation method of a Phasor Measurement Unit-PMU based on an interpolation matrix. According to the method, during the updating interval period of SCADA measurement, a state, obtained through a PMU interpolation, of an area U is equivalent to prior state information of the area U, the prior state information is continuously updated at each sampling instant of the PMU, the interpolation matrix is updated when SCADA measurement and PMU measurement reach simultaneously at the next moment, and therefore the real-time running state of each node of the area U is worked out. The method has the advantages of being high in accuracy and sampling speed of PMU measurement, and can track the running state of the system accurately in real time.

The invention provides an upper and lower airfoil deformation superposition method. The method comprises the following steps: determining and obtaining flexibility matrixes in the centers of aerodynamic grid units of upper and lower airfoils; with a flexibility method, decomposing airfoil structure deformation into superposition of deformations generated under the single action of aerodynamic loads of the upper airfoil and the lower airfoil, and obtaining airfoil structure deformation amounts under the single action of the aerodynamic loads of the upper airfoil and the lower airfoil; according to initial static grid coordinates of the airfoils, obtaining deformation interpolation matrixes between the upper airfoil and the lower airfoil with a surface spline method, wherein the deformation interpolation matrixes between the upper airfoil and the lower airfoil include a deformation interpolation matrix [TUL] from the grid center of the upper airfoil to the grid center of the lower airfoil, an interpolation matrix [TLL] from the grid center of the lower airfoil to grid points of the lower airfoil, and an interpolation matrix [TLU] from the grid center of the lower airfoil to grid points of the upper airfoil; and according to the airfoil structure deformation amounts under the single action of the aerodynamic loads of the upper airfoil and the lower airfoil, and the deformation interpolation matrixes of the upper airfoil and the lower airfoil, determining upper and lower airfoil deformation superposition. According to the method, flexibility method based static aeroelastic CFD / CSD coupling calculation is suitable for any airfoil grid distribution situation.