39 results about "Radial basis function interpolation" patented technology

A method for determining a property of fluids in formations surrounding an earth borehole includes the following steps: producing, from measurements on a multiplicity of fluid samples, a database of stored fluid property training values related to stored fluid measurement training values; deriving, from the database, radial basis function parameters; deriving formation fluid measurement values; and determining, using radial basis function interpolation, the property of formation fluids from values in the database, the parameters, and the derived formation fluid measurement values.

A method for determining a property of fluids in formations surrounding an earth borehole includes the following steps: producing, from measurements on a multiplicity of fluid samples, a database of stored fluid property training values related to stored fluid measurement training values; deriving, from the database, radial basis function parameters; deriving formation fluid measurement values; and determining, using radial basis function interpolation, the property of formation fluids from values in the database, the parameters, and the derived formation fluid measurement values.

The invention discloses a multi-scale porous structure light weight modeling method oriented to 3D printing, and belongs to the field of computer aided design and industrial design manufacture. Undera condition that characteristic constraints and a stress condition are given, through a compact support radial basis function interpolation, a smooth multi-scale porous model is constructed; the multi-scale porous model is applied to light weight modeling, and a feasible solving solution is given; through the 3D printing, an entity experiment model is obtained and is subjected to engineering stress verification; according to engineering verification result analysis, a parameter is corrected to enable the hole change of an optimization model to more approach to practical stress requirements; and through the above loop iteration process, a light weight model which meets stress requirements is obtained. By use of the method, a light weight purpose of the entity model can be truly realized, sothat the light weight design optimization period of the model is greatly shortened, the porous structure obtained by design has the advantages of smoothness, full connectivity, controllability and quasi-self-supporting, and the effectiveness and the manufacturability of light weight can be accurately guaranteed.

The invention discloses a computer-aided 3D facial reconstruction method which comprises the following steps: 1) a skull is scanned to acquire a 3D digital skull model; 2) the 3D digital skull model with caverns is carried out acquisition of skull caverns and insertion of discrete points in the cavern area, and then the caverns are filled by adopting triangulation of spatial polygon, finally, the least squares fit and the interpolation method of the radial basis function are adopted to smoothly optimize a curved surface for partial and overall optimization to acquire a complete digital skull model; 3) the facial feature points are acquired by a method of manually marking feature points and a calculation method of adding normal soft tissue thickness along the normal direction of the curved surface, and the discrete feature points are carried out interpolation of the radial basis function and triangulation to acquire a facial reconstruction rudiment of the skull; 4) the reconstructed facial rudiment is generated into the 3D human face model with a sense of reality by a binding texture mapping algorithm. The computer-aided 3D facial reconstruction method has the advantages of good rapidity, high accuracy and reliability.

A fast human face module building method based on quadrature images includes: take two pictures from the front and side face; normalize the two pictures; make projective grid of the two orthogonal graphs through a general face grid module; get the best matching index of the face graph and the projective grid on the character points; then apply it to the project grid and radial functional interpolation to get an accurate total matching points; resume the three-dimensional data from the matched projective grid to get the face grid module; finally texture mapping the grid module to get the final unique face module.

The invention discloses facial expression synthetic arithmetic based on a hybrid transformation strategy. Transition from motion capture data space to target face model motion space is achieved by building a redirecting model of radial basis function facial expressions based on geodesic distance. On a stage of facial expression animation, the result of space transformation is utilized, and local motion of a peak is calculated through a weighted local transformation method based on adjacent feature points. Simultaneously, the whole situation displacement of the peak is calculated through a whole situation transformation method based on radial basis function interpolation. In the end, the final displacement of the peak is obtained by mixing a local displacement and the whole situation displacement. According to the facial expression synthetic arithmetic based on the hybrid transformation strategy, the same catching order can be applied to different face models, model transformation is easy, and simultaneously, different catching orders can be used on the same target model, reusing of motion capture data is achieved, and simultaneously strong animation third dimension is achieved. The algorithm flow chart of the facial expression synthetic arithmetic based on the hybrid transformation strategy is shown in an attached map 1.

The invention relates to a prediction method for the national tropospheric refractive index profile. The established national tropospheric refractive index profile prediction database includes the following two aspects: first, the longitude and latitude information of each grid after the national atmospheric environment is gridded according to certain longitude and latitude intervals; the other isthe relationship coefficient between the atmospheric section profile model coefficients G, C1 and the surface refractive index N0 of each month in each grid. The main steps of establishing the national tropospheric refractive index profile prediction database are listed as follows: analyzing the characteristics of the national atmospheric refractive index variation, dividing the geographic grid,processing the basic sounding data, calculating the atmospheric section model parameters, processing the outliers, sorting out the valid data, interpolating the radial basis function, data statisticsand establishing the database. The refraction error correction precision can be improved from the source, and the real-time variation of the refractive index in different regions of the country can beobtained conveniently and quickly.

The invention provides a recursive cosine transform method for plane geomagnetic anomalous field one-step upward continuation plane modulus gradient field. Plane geomagnetic anomalous field measurement data is preprocessed; the geomagnetic anomalous field measurement data irregularly and discretely distributed on an observation plane is gridded through utilization of a radial primary function interpolation method, thereby obtaining gridded geomagnetic anomalous measurement data; the gridded geomagnetic anomalous measurement data is transformed into cosine transform wave spectrums through utilization of recursive cosine transform; the wave spectrum of each component of a geomagnetic modulus gradient field is calculated according to the geomagnetic cosine transform wave spectrums through utilization of a one-step wave number domain transform factor; and recursive inverse cosine transform of line direction phase shift Pi / 2 is carried out on the wave spectrums of a horizontal x component, a horizontal y component and a vertical z component, thereby obtaining the components of the geomagnetic modulus gradient field on a continuation plane. According to the one-step method provided by the invention, the calculation quantity is half of the calculation quantity of a two-step method; through utilization of the cosine transform method, the Gibbs edge effect is reduced, and algorithm precision is improved; and the method can be applied to a data sequence with any length.

The invention discloses a human face expression synthesis algorithm based on blended deformation strategy, and discloses a method based on characteristic points. The method comprises the following steps: establishing a recombinant model of radial base function human face expression based on geodesic distance, thereby achieving conversion from a movement capture data space to a target human face model movement space; in the human face expression animation period, calculating partial movement of a top point by using a partial deformation method based on adjacent characteristic point weighting by utilizing the space conversion result, at the same time, calculating global displacement of the top point by using a global deformation method based on radial basis function interpolation, and finally combining the partial displacement with the global displacement, thereby obtaining the final displacement of the top point. The same capture sequence can be applied to different human face models, model conversion can be relatively easily achieved, the same target model can be also used for different capture sequences, repeated use of movement capture data is achieved, and relatively high animation real feeling can be achieved. The figure 1 as shown in the description is the algorithm flow chart of the method.

The invention discloses a high-precision harmonic analysis method of sampling data synchronization, which is suitable for the field of power grid harmonic analysis and can realize accuracy computation of frequency, amplitude and phase of a power grid signal. The technical scheme of the invention is as follows: 1, a quadratic polynomial reverse interpolation method for accurately determining a fundamental wave period ensures that the computing precision of the fundamental wave period is improved by 2 orders of magnitude (reaching 1.51*10<-7> percent); and 2, a radial primary function interpolation method used for synchronizing nonsynchronously-sampled data ensures that synchronization data errors subjected to radial primary function interpolation are improved by 3-4 orders of magnitude (reaching 1.1*10<-9> percent). The invention has the advantage that the computing precision of harmonic parameters (amplitude and phase) on the basis of synchronization data is improved by 4-5 orders of magnitude.

The invention discloses a variable speed unit coordination control method based on a radial basis function interpolation model. The variable speed unit coordination control method comprises the specific steps of: adopting a radial basis function interpolation method for interpolating, fitting and deducing a coordination control mathematical model of a variable speed pumped storage unit under a power generation condition and a water pumping condition according to a unit operating characteristic curve; acquiring a unit operating condition state signal, a unit active power set value, a current water head value and a system frequency value; automatically calculating a corresponding unit optimal rotation speed and a corresponding optimal guide vane open degree value; and issuing the unit optimal rotation speed and the optimal guide vane opening value to an AC exciter and a speed regulator, wherein the speed regulator adjusts a unit guide vane open degree, and the AC exciter controls an excitation current, thereby realizing rapid adjustment of active power and rotation speed of the unit. The variable speed unit coordination control method accelerates the response speed of the variable speed pumped storage unit according to the grid load requirements for carrying out continuous, rapid and precise load regulation, and realizes the primary frequency coordinated control function.

The invention discloses a method for controlling group mobility, which is based on the RBF and includes the steps: firstly, a user inputs each parameter of the group to form real-time group animation which is in line with the requirements of the user; secondly, the user specifies a series of control points and sets the corresponding velocity amplitude thereof, which represents the guide velocity to which an individual in the group moving to the point needs obey; thirdly, a RBF interpolation method acts on scattered control points input by the user to form a vector field which represents the velocity of the individual in the group and is used as a guide component for the mobility of the individual in the group; and fourthly, the simulated process of the mobility of the group is divided into a plurality of step length according to discrete time, the guide motion component is looked up for each step length individual in the group to calculate the voluntary roaming motion of the individual, and the individual moves towards the position of next time step length under the combined action of the guide motion component and the voluntary motion component. The method adopts the velocity vector field as the main controllable factor for the motion, has the advantage of fast formation and supports real-time interactive amendment.

The invention provides a multi-scale air quality space interpolation method, system, medium and equipment. The method comprises: step 1, according to the area of a target area, the number of air quality monitoring stations and air quality monitoring data as source data, a nearest neighbor interpolation algorithm is used for carrying out interpolation estimation on the air quality of an area, not covered by the air quality monitoring stations, in the target area, and first air quality interpolation is obtained; and step 2, processing the first air quality interpolation by adopting a radial basis function interpolation algorithm to obtain a second air quality interpolation. According to the method, the sparse point source data can be reasonably and finely subjected to spatial interpolation processing, and parameters can be adaptively adjusted according to different urban areas and air quality monitoring point distribution, so that the practicability of the method is further improved.

The invention discloses a method for eliminating a warping phenomenon in interactive prism grid generation. The method comprises the following steps: firstly, artificially interacting to generate a space propulsion grid of product surface grid boundary points; fairing components of propulsion normal vectors of boundary points of the object plane grid in X, Y and Z coordinate directions by using afairing algorithm, interpolating by using a radial basis function method to obtain a space propulsion grid of internal points of the object plane grid, and finally assembling to obtain a boundary layer prism grid for CFD calculation simulation; according to the method, an object plane grid boundary space propelling plane grid generated through manual interaction is optimized, the influence of thewarping phenomenon on the quality of the prism grid is eliminated through the technologies of normal vector fairing, radial basis function interpolation and the like, and the method has obvious technical advantages in the aspect of improving the generation efficiency of the prism grid and the universality of the method.

The present invention discloses a method for estimating an aerodynamic force of a motor train unit. The method comprises: setting a plurality of pressure measurement points on a carriage; measuring a pressure of each pressure measurement point; obtaining carriage surface pressure distribution by using a radial basis function interpolation method; and then obtaining an aerodynamic differential pressure force of the carriage by adopting a numerical integration method. The present invention can be used for a track test and a dynamic model test of the motor train unit. Due to adoption of the radial basis function interpolation technology, the carriage surface pressure distribution can be obtained quickly according to a small number of pressure measurement points and accuracy of estimating the aerodynamic force is improved. Moreover, surface friction and the aerodynamic force of a key component are introduced for correction, so that estimation accuracy is further enhanced.

The invention discloses a network deformation interpolation method, system and medium based on a novel radial basis function. The method comprises the following steps of 1, obtaining a weight coefficient of each first grid point according to each first grid point displacement in a preset deformation first grid and a novel radial basis function corresponding to each grid point, multiplying and summating the weight coefficient of each first grid point and the novel radial basis function corresponding to each first grid point to obtain an interpolation function; 2, adopting a function value obtained by substituting position coordinates of each second grid point in a preset deformation second grid into the interpolation function in step 1 as displacement corresponding to each second grid point. The problem that the existing radial basis function interpolation action result is not smooth enough is solved.

The present invention discloses a radial basis function (RBF) interpolation-based fluid-solid coupling interface data transfer method considering load uncertainty. The method considers the fluid domain uncertainty input in the fluid-solid coupling interface data transfer, the interval representation of load uncertainty is constructed, and the radial basis function with uncertainty is established.Based on the radial basis function (RBF) interpolation, the definite solution conditions of the coefficients to be solved are constructed. Furthermore, the uncertain undetermined coefficients are solved by the definite solution conditions of the physical quantities in the fluid domain of the fluid-solid coupling interface. Finally, based on the relationship between physical quantities and undetermined coefficients, the mathematical expression of the data transfer matrix is derived, and the reliable prediction of the load range and upper and lower bounds in the solid domain is completed, so asto realize the effective transfer of the load uncertainty data of the fluid-solid coupling interface.

The invention discloses a simulation method and devices for gingival deformation, and relates to the technical field of oral cavity. The problems of inefficiency and untruthfulness of conventional gingival deformation simulation methods can be solved. The method includes the following steps: determining a gingival border point, a tooth corresponding to the gingival border point and a fixed point of gingival mesh deformation, the gingival border point being the boundary point between a tooth mesh and a gingival mesh; taking the point between the border line formed by the gingival border point and the order line formed by the fixed point as a deformation point, and determining the tooth corresponding to each deformation point; and when the tooth is transferred, updating the position of the gingival border point and the deformation point corresponding to the transferred tooth by using the transfer matrix of the transferred and a radial basis function interpolation method so that the gingival mesh can be updated. The method and the device are mainly suitable for the scenes of performing automatic stimulation on gingival soft tissue deformation.

The invention discloses a human face expression synthesis algorithm based on blended deformation strategy, and discloses a method based on characteristic points. The method comprises the following steps: establishing a recombinant model of radial base function human face expression based on geodesic distance, thereby achieving conversion from a movement capture data space to a target human face model movement space; in the human face expression animation period, calculating partial movement of a top point by using a partial deformation method based on adjacent characteristic point weighting by utilizing the space conversion result, at the same time calculating global displacement of the top point by using a global deformation method based on radial basis function interpolation, and finally combining the partial displacement with the global displacement, thereby obtaining the final displacement of the top point. The same capture sequence can be applied to different human face models, model conversion can be relatively easily achieved, the same target model can be also used for different capture sequences, repeated use of movement capture data is achieved, and relatively high animation real feeling can be achieved. The figure 1 as shown in the description is the algorithm flow chart of the method.

The invention discloses a grid-free lattice Boltzmann method based on semi-Lagrangian and a radial basis function, and belongs to the field of computational fluid mechanics, which enables the latticeBoltzmann method (LBM) to get rid of the limitation of uniform grids by introducing a semi-Lagrangian method and a radial basis function interpolation method, and further expands the application of the LBM in complex flow problems. The method comprises the following steps: firstly, introducing an SL method into a lattice Boltzmann method, and finding a migration starting point, namely x-e Alpha Delta t, obtaining a distribution function of a starting point (x-e Alpha Delta t) by introducing a local RBF interpolation method; According to the local RBF interpolation method, (a relation is shownin the description), wherein phi (x) is a target position function value, Phi (|| x-xi ||) is a radial basis function, and | | x-xi|| is a Euclidean norm, p (x) is a multivariate polynomial, n is thenumber of supporting points, m is the order of the multivariate polynomial, and m is an interpolation coefficient.

The invention discloses an anisotropic structure thermal-mechanical coupling multi-objective topological optimization method based on a meshless EFGM and a parameterized level set method. The method comprises the following steps: (1) inputting a Poisson's ratio factor, a thermal conductivity factor, a material direction angle and other material attributes of an anisotropic structure, and carrying out the discrete design of a domain through meshless nodes; (2) initializing a level set function of the meshless nodes; (3) interpolating a level set function by adopting a radial basis function in combination with the parameterized level set method; (4) solving a displacement field and a temperature field of the anisotropic structure based on meshless EFGM; (5) based on meshless EFGM and PLSM theories, establishing a mathematical model for thermal coupling multi-target topological optimization of the anisotropic structure; (6) inputting a termination condition, and judging whether an optimization loop is converged or not; (7) calculating a normal velocity field of a structure boundary; (8) programming, solving and optimizing the model, and updating the level set function. According to the method, thermal-mechanical coupling multi-target topological optimization of the anisotropic structure is carried out based on the meshless EFGM and PLSM, the calculation efficiency is high, the boundary of the topological structure is clear and smooth, and the method is simple and practical.

The invention discloses an arbitrary three-dimensional graphics surface reconstruction method based on Helmholtz equation, comprising the following steps: S10, scanning a three-dimensional graphics target body to obtain data points near the surface of the target body and obtaining coordinate information of the data points; S20, acquiring the actual coordinate information of the points on the surface of the target body, and assigning a dimensionless value u to the actual coordinate information of the known points on the surface of the target body as a boundary condition for solving Helmholtz equation; S30, importing the coordinate information of all the data points obtained in the step S10 into a radial basis function interpolation formula, The dimensionless values of all data points shownin the description are solved by boundary point interpolation technique; S40, Using the dimensionless value u in step S20 as the classification criterion, the data points shown in the description areselected as three-dimensional surface points, so as to achieve the purpose of surface reconstruction. The invention applies the boundary node interpolation technology to the surface reconstruction ofthree-dimensional graphics for the first time, reconstructs the graphics surface by utilizing only the coordinate information of a part of points on the boundary surface, and accurately and efficiently obtains the surface position information of the target body.

The invention relates to space pose measurement and related sensor technologies, and aims to solve the problem of a dense matrix occurring when an orthogonal spectral imaging pose sensor adopts a large amount of scattered data for interpolation calibration and solve the problem of calibration of the orthogonal spectral imaging pose sensor. Therefore, the technical scheme adopted by the invention is as follows: regional division is carried out by adopting a fuzzy clustering algorithm based on a nucleation distance; a local expression of each region is fitted by adopting a global radial basis function interpolation algorithm; a weight function is created by adopting an inverse distance weighted interpolation Shepard method, and calculated by adopting a local tight support radial basis function in the Shepard method; the global expression is generated by calculation of the weight function and local expressions of all regions, and finally calibration of the orthogonal spectral pose sensoris achieved. The invention is mainly applied to space pose measurement occasions.

The invention relates to a radial basis function grid method for constructing a sea area plumb line deviation model based on frequency domain characteristics, which is technically characterized by comprising the following steps of: removing plumb line deviation in a sea plumb line deviation observation value by utilizing medium-long wave frequency spectrum information provided by a global gravityfield model to obtain residual plumb line deviation at an observation point; based on the residual vertical line deviation at the observation point, applying a radial basis function interpolation algorithm to obtain the residual vertical line deviation at the point to be estimated; recovering the model values of the meridian component and the mortise unitary component residual error of the vertical line deviation of the to-be-estimated point to obtain the calculation values of the meridian component and the mortise unitary component residual error of the vertical line deviation of the to-be-estimated point at the to-be-estimated point. The method is reasonable in design, the ocean plumb line deviation observed value serves as basic data, the global gravity field spherical harmonic model iscombined, a radial basis function interpolation method based on frequency domain characteristics is adopted, and the high-precision and high-resolution sea area plumb line deviation model can be constructed.

The invention discloses a parameterization method suitable for designing a non-axisymmetric laminar flow nacelle. The parameterization method comprises the following steps: step 1, dividing a to-be-deformed nacelle into calculation grids for numerical simulation; 2, building a control frame on the surface of the nacelle to be deformed, and arranging control points; Step 3, giving a displacement variation of the control point according to a demand; 4, calculating the displacement variation of a calculation grid node on the surface of the nacelle to be deformed according to the control point onthe surface of the nacelle to be deformed, the displacement variation of the control point and the calculation grid node by utilizing a radial basis function interpolation method; And 5, superposing the coordinates of the calculation grid nodes on the surface of the nacelle to be deformed and the displacement variation of the calculation grid nodes on the surface of the nacelle to be deformed to obtain the deformed nacelle. According to the method, the control framework of the surface of the nacelle to be deformed is built, the control points are arranged, the radial basis function interpolation technology is adopted, and the laminar nacelle configuration after deformation is quickly and accurately calculated according to the displacement variation of the control points.

The invention discloses a computer-aided 3D facial reconstruction method which comprises the following steps: 1) a skull is scanned to acquire a 3D digital skull model; 2) the 3D digital skull model with caverns is carried out acquisition of skull caverns and insertion of discrete points in the cavern area, and then the caverns are filled by adopting triangulation of spatial polygon, finally, theleast squares fit and the interpolation method of the radial basis function are adopted to smoothly optimize a curved surface for partial and overall optimization to acquire a complete digital skull model; 3) the facial feature points are acquired by a method of manually marking feature points and a calculation method of adding normal soft tissue thickness along the normal direction of the curvedsurface, and the discrete feature points are carried out interpolation of the radial basis function and triangulation to acquire a facial reconstruction rudiment of the skull; 4) the reconstructed facial rudiment is generated into the 3D human face model with a sense of reality by a binding texture mapping algorithm. The computer-aided 3D facial reconstruction method has the advantages of good rapidity, high accuracy and reliability.

The invention relates to a strip restoration method based on spatial-spectral radial basis function interpolation, and the method comprises the steps: firstly carrying out global histogram matching ofa known auxiliary image to acquire a known image which is closer to a to-be-restored image in a feature space; carrying out interpolation calculation on the time reflectivity change of the to-be-restored pixel by using a space spectrum radial basis function to obtain the reflectivity change between the known image pixel of each waveband and the to-be-restored pixel; and finally, adding the predicted change value and the data of the corresponding missing pixel position on the known image to obtain a final prediction result of the missing pixel. Compared with the prior art, the invention can effectively integrate the useful information of the known image and the to-be-restored image, and has a better restoration effect.

The invention relates to calibration of an orthogonal spectroscopic imaging pose sensor, aims to solve the problems of distortion correction and imaging model of the orthogonal spectroscopic imaging pose sensor, and aims to provide a calibration method based on a general imaging model. The calibration method is applied to calibration of a novel orthogonal spectroscopic imaging pose sensor. Therefore, the technical scheme adopted by the invention discloses the calibration method of a general imaging model orthogonal spectroscopic imaging pose sensor. Pose measurement is achieved through orthogonal spectroscopic imaging of a double-linear-array CCD camera. A continuous vector value function is used for representing a mapping relation. A vector value function is fitted through radial basis function interpolation. Control points are adaptively selected in combination with a Kmeans clustering method. A CCD camera matrix is solved. Linear coordinates of all points in a calibration data set are solved according to the CCD camera matrix, and calibration is achieved. The method is mainly applied to calibration occasions of the pose sensor.

The invention discloses a simulation method and devices for gingival deformation, and relates to the technical field of oral cavity. The problems of inefficiency and untruthfulness of conventional gingival deformation simulation methods can be solved. The method includes the following steps: determining a gingival border point, a tooth corresponding to the gingival border point and a fixed point of gingival mesh deformation, the gingival border point being the boundary point between a tooth mesh and a gingival mesh; taking the point between the border line formed by the gingival border point and the order line formed by the fixed point as a deformation point, and determining the tooth corresponding to each deformation point; and when the tooth is transferred, updating the position of the gingival border point and the deformation point corresponding to the transferred tooth by using the transfer matrix of the transferred and a radial basis function interpolation method so that the gingival mesh can be updated. The method and the device are mainly suitable for the scenes of performing automatic stimulation on gingival soft tissue deformation.