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112 results about "Hermite interpolation" patented technology

In numerical analysis, Hermite interpolation, named after Charles Hermite, is a method of interpolating data points as a polynomial function. The generated Hermite interpolating polynomial is closely related to the Newton polynomial, in that both are derived from the calculation of divided differences. However, the Hermite interpolating polynomial may also be computed without using divided differences, see Chinese remainder theorem § Hermite interpolation.

Lithium-ion battery capacity estimation and residual cycling life prediction method

The invention relates to a lithium-ion battery capacity estimation and residual cycling life prediction method, and relates to a method for estimating the capacity of a battery and predicting the service life of the battery, which solves the problem that the capacity of a lithium battery cannot be estimated, and the residual service life of the lithium battery cannot be predicted. a/n of the collected charging-discharging cycle times x, the discharging voltage of each charging-discharging cycle, the battery capacity, and the residual capacity data z of the battery after each time of charging and discharging cycle is used as the training data, and the residual data of the (n-a)/n is used as the test data, the training data is expanded by utilizing a segmented tertiary Hermite interpolation method, the training data of different interpolation points obtained after the expansion is used for modeling, a GPR (general purpose register) model with different parameters is used for carrying out the forecasting so as to predict the residual capacity of the battery after N times of charging and discharging cycles of the lithium battery, and the residual capacity of the battery after N times of charging and discharging cycles can be obtained; and the method is suitable for estimating the capacity of the battery and predicting the service life of the battery.
Owner:HARBIN INST OF TECH

Method for testing key performance of drive shaft assembly of constant velocity universal joint

The invention relates to a method for testing the key performance of a drive shaft assembly of a constant velocity universal joint in the technical field of automobile part test. The method comprises: (1) automobile steering equivalent testing: using a Hermite interpolation method to locate a critical point, judging the boundary value of neighborhood of the critical point by a cubic interpolation polynomial, thereby realizing the testing on high precision swing moment and swing angle properties; (2) equivalent testing on integrated relationship of mobile terminal universal joint displacement, swing angle and sliding force: using an inflection point subdivision sampling method and an optimal square approximation method to carry out fitting on the boundary value of the neighborhood of an inflection point by a Legendre polynomial operator, thereby realizing the testing on the integrated relationship of the displacement, the swing angle and the sliding force; and (3) power transmission stability equivalent testing: using a LOG operator to carry out precise edge localization of the boundary position,and using an optimal uniform approximation method to carry out fitting on the boundary property value in the domain of the critical point, thereby realizing the testing on assembly clearance property. In the invention, high precision automatic detection technology and algorithm are used to test multiple key performance indexes, thereby effectively reflecting the performance property of tested products.
Owner:上海诚测电子科技发展有限公司

Lightweight video interpolation method based on a feature level optical flow

The invention discloses a lightweight video interpolation method based on a feature level optical flow, which is used for solving the technical problem that the existing lightweight video interpolation method is poor in practicability. According to the technical scheme, firstly, multi-scale transformation is carried out on two continuous frames of images in a given video, and an optical flow estimation module at the feature level is adopted to calculate a forward optical flow and a reverse optical flow between the two frames under the current scale; warp transformation on the two images is performed in time sequence according to the forward optical flow and the reverse optical flow respectively to obtain two interpolation images; the interpolated images are combined to obtain a four-dimensional tensor, and the tensor is processed by utilizing three-dimensional convolution to obtain an interpolated image under the scale; And weighted average on the images are carried out with differentscales to obtain a final interpolation image. According to the invention, the video interpolation is carried out by using the optical flow of the feature level and the multi-scale fusion technology, and the precision and speed of the video interpolation are improved. A 1.03 MB network model is used for obtaining the average peak signal-to-noise ratio of 32.439 and the structural similarity of 0.886.
Owner:NORTHWESTERN POLYTECHNICAL UNIV

Akima spline fitting based look-ahead interpolation method

The invention provides an Akima spline fitting based look-ahead interpolation method. The method is characterized in that the Akima spline fitting is that the parameters corresponding to each interpolation point are calculated by the centripetal parameterization method, and then the data points are fitted into a smooth Akima spline by the Akima five-point interpolation method; the look-ahead interpolation is that different values are returned for real-time interpolation by the look-ahead interpolation calculation according to the processing precision requirement, the programming speed of a numerical control system and the maximum speed information; the real-time interpolation is that the real-time feeding speed is adjusted according to the look-ahead interpolation returning value, then a structural equation is created according to the known Akima spline equation and interpolation cycle and other information, then the primary iteration value of the next interpolation method is predicated, and finally the interpolation parameters are accurately calculated by the newton iteration method. According to the method, the data points to be processed are fitted through the Akima spline, so that the actuating efficiency is increased, the smoothness is high, the fitting precision is improved while the interpolation real-time performance is ensured, the accuracy and flexibility are improved, and the actual state of a workpiece can be restored to the maximum.
Owner:中国科学院沈阳计算技术研究所有限公司

Whole-flow-field simulation method of Hermite interpolation basic weighted non-oscillatory format

The invention provides a whole-flow-field simulation method of the Hermite interpolation basic weighted non-oscillatory format. A finite-volume Robust HWENO format is constructed in the Cartesian coordinate, and through the cooperation with the immersed boundary method, a compressible flowing-around problem is calculated, the robustness of the Robust HWENO format is better than that of a HWENO format, and the Robust HWENO format is more easily popularized into a high-dimensional or movable and self-adaptive grid. Under a structural grid, when directly simulating the problem, the finite-volume Robust HWENO format requires a high-quality grid, however, generation of the high-quality grid is very complicated, and the immersed boundary method is a good method which can well process the boundary of an object surface and can be effectively used in various computational grids. Therefore, in the method, the finite-volume Robust HWENO format is effectively combined with the immersed boundary method, numerical simulation of the compressible flowing-around problem can be effectively conducted on a very simple Cartesian grid, and several numerical value simulation results of classical steady and unsteady problems fully verify the effectiveness of the method.
Owner:NANJING UNIV OF AERONAUTICS & ASTRONAUTICS

Receiver quick positioning method based on strong tracking filtering and Hermite interpolation method

The invention discloses a receiver quick positioning method based on strong tracking filtering and a Hermite interpolation method. According to the receiver quick positioning method, based on a known satellite running state, the position of a satellite can be predicted in an interpolation manner, so that the computation complexity is greatly reduced while the positioning precision is ensured; by utilizing a strong tracking filtering device, the quick positioning of a receiver is realized. Specifically the receiver quick positioning method comprises the following steps of firstly extracting ephemeris parameters in a navigation message, and computing the position and the speed of the satellite according to an air interface document; secondly selecting a time interval of a sliding window, and estimating the position of the satellite orbit according to the Hermite interpolation method; finally adjusting a system state vector and a noise covariance matrix. According to the receiver quick positioning method based on the strong tracking filtering and the Hermite interpolation method, which is disclosed by the invention, the positioning resolution of the receiver is carried out by utilizing the strong tracking filtering; meanwhile, the time interval of the sliding window is adjusted, and the prediction and the filtering on the orbit are carried out repeatedly, so that the quick positioning of the receiver is realized; on the premise of ensuring the positioning precision, the computation complexity is greatly reduced, and the requirements of a user on the positioning precision, the real time performance and the robustness of the receiver can be met.
Owner:PEKING UNIV

Image interpolation method and image interpolation apparatus

The invention discloses an image interpolation method and an image interpolation apparatus. The image interpolation method comprises: edge point information of an image is obtained; according to the edge point information and peripheral reference points of a to-be-interpolated point, whether the to-be-interpolated point is located in an edge region is determined; if so, an angle class which the edge direction of the to-be-interpolated point belongs to is obtained, wherein edge directions of pixel points of the image are classified into m angle domains in advance and the m angle domains are divided into n angle classes in advance; on the basis of the angle class which the edge direction of the to-be-interpolated point belongs to, a corresponding one-dimensional horizontal interpolation kernel is used for carrying out horizontal interpolation on the to-be-interpolated point; and after horizontal interpolation completion, vertical interpolation is carried out on the to-be-interpolated point by using a preset one-dimensional vertical interpolation kernel. On the basis of the technical scheme, the image quality after interpolation processing can be guaranteed; the computation complexity during the interpolation process can be reduced; and software and hardware resources that may be occupied during the interpolation process can be reduced.
Owner:BOE TECH GRP CO LTD

SFDR testing method based on five-maximum-sidelobe-damping-window three-spectral-line interpolation

InactiveCN103795411ASuppression of Spectrum LeakageOptimize and improve performanceAnalogue/digital conversion calibration/testingFrequency spectrumHarmonic
The invention discloses an SFDR testing method based on five-maximum-sidelobe-damping-window three-spectral-line interpolation. Initialization setting of an SFDR testing program is completed, and sampling data are obtained through an ADC testing system; five maximum sidelobe damping windows are established, and sampling data are subjected to windowing FFT operation; a spectral line with the maximum amplitude and left and right spectral lines thereof are subjected to searching in FFT spectral lines for base waves and each harmonic wave, and the ratio of the difference of the amplitudes of the left and right spectral lines and the maximum spectral line amplitude is obtained; the mode of approximation by polynomial is used for obtaining the interpolation coefficients of the base waves and each harmonic wave; and finally, the correction amplitudes of the base waves and each harmonic wave are obtained through interpolation operation, the correction amplitudes are put into an ADC SFDR computational formula, and testing results are obtained. The ADC SFDR testing method based on five-maximum-sidelobe-damping-window three-spectral-line interpolation is provided for the first time. The method has the advantages that spectrum leakage and picket fence effect can be effectively restrained, and ADC SFDR is tested quickly and accurately.
Owner:JIANGNAN UNIV

Space circular arc interpolation method of triaxial cartesian robot

The invention discloses a space circular arc interpolation method of a triaxial cartesian robot. The space circular arc interpolation method of the triaxial cartesian robot comprises the steps that any three non-collinear points on the movement path of the triaxial cartesian robot are designated; the three points are substituted into an analysis formula of the circle center and the radius; the central angle of the circular arc needing interpolation is calculated; the specific normal vector N of the plane where the three points are located is calculated, and a specific auxiliary vector M is constructed according to the normal vector N; the parameter equation of the interpolation points are expressed; the number of times of interpolation is calculated; the parameter value of the ith interpolation is calculated and substituted into the parameter equation, and the point coordinates of the ith interpolation are obtained; the termination point of interpolation is judged; and a calculation result is transmitted to an execution mechanism of the triaxial cartesian robot. The space circular interpolation method of the triaxial cartesian robot reduces the calculation amount, simplifies the code quantity, improves the operation speed and the interpolation precision, is suitable for any starting and termination points and any plane and can be applied to the robot control field having higherrequirements for the operation speed and the precision.
Owner:NANJING UNIV OF INFORMATION SCI & TECH
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