54 results about "Radial basis function interpolation" patented technology

The invention relates to the technical field of 3D printing error compensation and precision control, and particularly discloses a printing comprehensive precision measurement method for 3D printing equipment, which comprises the following steps: designing a standard test piece containing various typical geometrical characteristics, and combining non-contact three-dimensional optical scanning and contact probe measurement means to measure the printing comprehensive precision of the 3D printing equipment. Spatial distribution data of printing errors are obtained in a controlled environment, a three-dimensional error field model with direction and amplitude information is constructed through point cloud registration and feature comparison, and based on error distribution features, the local resolution is dynamically adjusted by adopting a multi-level self-adaptive grid division strategy, so that a three-dimensional error field model with direction and amplitude information is constructed. A local error compensation model is established by combining tightly-supported radial basis function interpolation and a linear fitting method, a boundary consistency matching algorithm is introduced to realize multi-level model fusion, a unified global error compensation field is formed, an error offset vector field is embedded into a slicing process, point-by-point dynamic correction of a nozzle path is realized by using a trilinear interpolation algorithm, and the nozzle path is dynamically corrected. And the forming precision and the surface quality of the key structure are improved.

The invention provides an electrolytic bath three-dimensional temperature field reconstruction method and system based on multi-physics field coupling, and belongs to the technical field of energy equipment thermal management, and the reconstruction method is applied to a reconstruction system comprising an acquisition module, a first processing module, a second processing module, a third processing module, a fourth processing module and a rendering module. The method specifically comprises the following steps: layering a three-dimensional model of the electrolytic cell according to a Z-axis direction, establishing a hierarchical database and setting a reference layer; generating initial temperature field distribution of the reference layer based on an anisotropic radial basis function interpolation algorithm; and establishing an electric-thermal-flow coupling equation, solving according to the hierarchical database, obtaining temperature field distribution of a reference layer, mapping the temperature field distribution to a three-dimensional space, correcting the temperature field distribution by combining interlayer temperature attenuation and a transverse thermal diffusion effect, obtaining target temperature field distribution, and carrying out visualization processing on the target temperature field distribution. Nonlinear temperature distribution of the electrolytic cell can be completely reproduced, and the accuracy of three-dimensional temperature field reconstruction of the electrolytic cell is guaranteed.

The invention discloses a three-dimensional geological model dynamic updating system and method based on multi-modal data fusion, and belongs to the technical field of geological engineering and information. According to the method, multi-source data of geological radar, earthquake, drilling, remote sensing and the like are integrated, and after unified formatting and quality optimization preprocessing, geological features of a stratum interface, a fault zone and the like are automatically extracted by using a deep learning network; multi-source feature data fusion is realized through space-time registration and attention; constructing a three-dimensional geologic model by adopting a TIN and Octree mixed structure based on a fusion result; dynamic updating of the model is realized through incremental detection and a local reconstruction mechanism, and the boundary of the model is optimized by adopting a radial basis function interpolation. According to the method, the problems of single data, updating lag and the like of a traditional method are solved, the modeling precision and efficiency are remarkably improved, and reliable support is provided for geological engineering decision making.

The invention provides a real estate surveying and mapping method and system based on block division, and the method comprises the steps: obtaining real estate data, constructing a global relationship network, dividing the global relationship network through a community discovery algorithm, obtaining adaptive blocks, obtaining point cloud data in the adaptive blocks, inputting the data into a three-dimensional deep learning model, and outputting a three-dimensional semantic structure. The method comprises the following steps: setting a specific influence factor, obtaining related data of the specific influence factor, generating a basic influence field in combination with a ray tracing engine, obtaining a residual fitting field through a radial basis function interpolation network, fitting the basic influence field and the residual fitting field, and obtaining an influence factor field; probabilistic digital twins are obtained through a three-dimensional semantic structure and an influence factor field, sampling simulation is performed on the probabilistic digital twins, a simulation result is obtained, surveying and mapping are performed based on the simulation result, and the accuracy and scientificity of real estate surveying and mapping are improved through a surveying and mapping method of adaptive division, semantic modeling and probabilistic verification.

The invention relates to the technical field of boiler temperature measurement, and discloses a boiler furnace temperature field measurement system based on multi-sensor fusion. According to a temperature acquisition module of the system, a plurality of groups of infrared temperature measurement sensors and thermocouple sensors are arranged in preset space grids of a boiler hearth, and real-time temperature data of each space grid are synchronously acquired; the data fusion module performs time alignment and space registration on the acquired data to generate a space-time synchronous original temperature data set; the noise suppression module performs multi-scale decomposition on an original data set based on wavelet transform, extracts a high-frequency noise component and performs adaptive filtering, and outputs a temperature data sequence after noise reduction; the temperature field reconstruction module reconstructs a hearth three-dimensional temperature field distribution model through a radial basis function interpolation algorithm according to the denoised data sequence; and the dynamic compensation module calculates the heat conduction lag compensation amount of the temperature field distribution model according to the flowing speed of the flue gas in the hearth and the working condition parameters of the combustor, and generates a compensated dynamic temperature field model.

The invention relates to the field of aero-engine complete machine full-three-dimensional numerical simulation, and discloses an aero-engine complete machine full-three-dimensional simulation initial field presetting method and system, and the method comprises the steps: obtaining initial flow field boundaries of different parts from the zero-dimensional level of a complete machine by solving inlet section parameters and outlet section parameters of each part; then obtaining an initial field of each blade row in a turbine part, which has the most critical influence on the convergence of an engine, through a quasi-three-dimensional layer S2, and realizing initial field decomposition from the part to the part; and finally, by adopting a radial basis function interpolation method, mapping the zero-dimensional data and the S2 quasi-three-dimensional parameters to each grid unit of the complete machine full-three-dimensional model of the aero-engine, and then smoothly splicing the initialized flow fields of all the components at the interface to form a continuous complete machine three-dimensional simulation initial field under the examination working condition. The convergence of a whole machine simulation example, the simulation convergence speed and the numerical stability are greatly improved, the simulation trial and error iteration is reduced, the pretreatment time consumption is reduced, and the simulation speed and efficiency are improved.

The invention discloses a geologic body implicit modeling method and a geologic body implicit modeling system fusing stratigraphic constraint rules. The method comprises the following steps: defining a topological relation and an implicit potential field function of geological units in a three-dimensional space; based on the geological data, utilizing an implicit function interpolation method to generate an equipotential surface expression of each geological interface, and orderly splicing the geological interfaces; performing constraint definition according to geological conditions; defining a geological interface direction and a geological sequence based on the geological age; and determining the lithology type of any position in the space, and extracting a contour surface of the geologic body by adopting a multi-domain implicit surface reconstruction method for segmentation and reconstruction to obtain a topologically consistent three-dimensional geologic body model. According to the method, on the basis of the generalized radial basis function interpolation method and the PFM potential field method implicit modeling, various geological rule constraints are met, the high-precision three-dimensional geologic body model is automatically generated through the expanded curved surface reconstruction method, and the efficiency and reliability of geologic body implicit modeling are greatly improved.

The invention discloses a three-dimensional scanning data optimization and digital modeling method based on deep learning, and particularly relates to the field of data optimization and modeling, and the method comprises the steps: obtaining an original point cloud through three-dimensional scanning through a process, carrying out the denoising, cleaning and registration, repairing and complementing data through deep learning, and generating a three-dimensional grid model through Poisson reconstruction; the post-processing stage comprises smooth processing based on a Laplace flow, namely uniform and smooth flat areas, introduction of curvature weighted constraints to feature edges, generation of chartlets through UV parameterization of texture mapping and multi-view photogrammetry, interpolation of radial basis functions is adopted for hole repair, and a final model needs to pass ISO 29159-3 standard verification to ensure that geometric errors and texture color differences reach the standard. The visual error PSNR value in the Unity engine reaches more than 32dB, and high-precision and high-quality three-dimensional digital model reconstruction is realized.

The invention relates to the technical field of high-temperature pressure pipeline state monitoring, and discloses a quantitative detection method for oxide skin accumulation in a pipeline, electromagnetic response of the pipeline is excited through a multi-band composite detection signal, and multi-physical field characteristic data is collected in combination with a quantum sensor array. And an improved Bayesian regularization algorithm is adopted to realize oxide skin thickness inversion, and a crack propagation model is constructed to carry out residual life prediction. A dynamic reference calibration technology is innovatively introduced, and environmental interference is suppressed through a temperature-frequency drift compensation model and space-time coding. The system comprises a multi-channel data fusion module, a three-dimensional visualization module and a self-diagnosis unit, and realizes closed-loop processing from signal acquisition to state evaluation. And reconstructing thickness distribution by adopting radial basis function interpolation, and generating a maintenance decision in combination with the risk level matrix. According to the method, the problems of insufficient precision and weak anti-interference capability of a traditional detection method are solved, and the reliability and the intelligent level of high-temperature pipeline state monitoring are remarkably improved.

The present application belongs to the technical field of structure optimization design, and discloses a macro-micro double-scale structure topology optimization method and equipment capable of controlling the minimum size of microstructure, comprising the following steps: (1) interpolating the elastic matrix and the corresponding density of the actual microstructure in the offline database by using radial basis function interpolation, and then constructing a mapping model; (2) constructing a compliance minimization optimization model, wherein the design variables of the optimization model are the cutting height of two virtual microstructures in each unit and the topology variable, and the constraint functions are the volume fraction of the overall structure and the topology variable constraint; (3) calculating the sensitivity of the objective function and the constraint function to the design variable, and then updating the design variable; (4) when the compliance error of the updated double-scale structure meets the optimization termination condition, the optimization is completed and the double-scale structure meeting the requirements is obtained; otherwise, go to step (3). The present application solves the problems of low calculation efficiency and poor connectivity.

The invention relates to the technical field of data processing, and discloses a tooth three-dimensional model parameterization description method, which comprises the following steps: carrying out standardization processing on local point cloud data of teeth to obtain three-dimensional model data of the teeth; meshing the three-dimensional model data to obtain triangular mesh model data of the teeth; integrating a dental crown edge, an occlusal surface and a root boundary region in the triangular mesh model to obtain a key feature region of the tooth; according to curvature change characteristics in the key feature region, identifying anatomical mark points of the teeth, and removing noise points in the anatomical mark points to obtain a feature point set of the teeth; mapping the feature point set to a two-dimensional parameter space, generating a continuous parameterized surface through radial basis function interpolation, and performing geometric reconstruction on the parameterized surface to obtain a parameterized description model of the tooth; outputting the parameterized description model as parameterized description of the teeth; according to the method, the parameterized description efficiency of the tooth three-dimensional model can be improved.

The invention discloses a 3D printing topological optimization method and system based on RBF mapping and a genetic algorithm, and the method comprises the steps: carrying out the angle initialization of each individual through employing a hybrid strategy, and carrying out the density initialization of a synchronous constraint density interval; differentiated mapping is carried out on each individual based on a three-dimensional radial basis function, and low-dimensional global control points are mapped into a local angle field and a density field; performing local optimization by using finite element analysis and sensitivity filtering, and jointly updating the angle and the density; performing global optimization based on a genetic algorithm and local feedback; iteration is carried out after population recombination, iteration is finished until target function convergence judgment and maximum iteration number limitation are met, and an optimal solution is output. The method has the advantages that the genetic algorithm (GA) and the radial basis function (RBF) interpolation model are combined, the influence of anisotropy is considered, the transverse isotropic model is used, and compared with an existing method, the calculation time is remarkably shortened, and the optimization effect is remarkably improved.

The invention relates to the technical field of photoelectric display, and provides an area array chromaticity data multi-point correction method based on a two-dimensional Gaussian basis RBF interpolation method, and the method comprises the steps: obtaining a first chromaticity data array of a measured surface and second chromaticity data of M correction points in the measured surface; constructing a two-dimensional Gaussian radial basis function interpolation model sharing a group of shape parameters based on the positions of the correction points; solving a weight parameter of each Gaussian basis function according to the first chrominance data array and the second chrominance data at the correction point; and performing point-by-point correction on the first chrominance data array by using the solved model. According to the method, fitting precision and smoothness of chromaticity space nonlinear change are effectively balanced through adaptive shape parameters, the chromaticity relation consistency is kept by adopting a multi-channel coupling correction mode, and correction precision and efficiency are effectively improved.

A kind of open pit model dynamic updating method based on real-time positioning of excavator and SDF belongs to the technical field of digital mine. The initial pit triangular mesh model is voxelized to generate a three-dimensional symbolic distance field based on the definition of vertical coordinate symbol. The three-dimensional positioning data of the center of rotation of the excavator is collected in real time through the GNSS-RTK positioning module, and the working state is judged based on the preset time window and displacement threshold. When the excavator switches from displacement state to digging state, a spherical mining influence domain is constructed with the current positioning data as the center of the sphere and the maximum digging radius as the radius, and the voxel symbol distance field value in the domain is set to 0. A control point set is constructed by boundary constraint points and background constraint points, and global symbol distance field smoothing reconstruction is realized by using radial basis function interpolation. The zero value isosurface is extracted by moving cube algorithm to generate the updated pit model. The present application realizes high-frequency model updating synchronized with operation, has low deployment cost and strong robustness, and solves the problems of model updating lag and visualization penetration.

The invention provides a large-flow heat exchanger design method based on a three-period minimal curved surface, which comprises the following steps: establishing a heat exchanger shell and extracting an internal flowing area to obtain cold fluid and hot fluid grid node point clouds; generating uniformly distributed rays and calculating an average value as a local feature length; the reciprocal of the local feature length is obtained and normalized, and the product is multiplied by a curved surface offset coefficient to obtain a local curved surface offset; the discrete local curved surface offset is converted into a continuous function through radial basis function interpolation; constructing a three-period minimal curved surface heat exchange core body; and the heat exchange core and the heat exchanger shell are combined to obtain the large-flow heat exchanger. According to the large-flow heat exchanger design method based on the three-period minimal curved surface, the wall thickness deviation distribution can be actively adjusted according to the flowing path, the method can adapt to any complex special-shaped cavity, the problems of large flowing resistance and uneven flowing caused by sudden change of the flowing section can be solved, and the method is suitable for a large-flow working condition heat exchange scene.

The invention provides a numerical simulation method for fluid-structure interaction vibration of wind tunnel airflow and a tunnel wall structure, and belongs to the technical field of wind tunnels. Geometric parameters of a wind tunnel section are obtained, a multi-layer grid sequence is established, an implicit Runge-Kutta format and an explicit Newmak method are adopted to solve a flow field and a structure field respectively, and the wind tunnel airflow and tunnel wall structure fluid-structure interaction vibration is obtained. Mesh deformation is realized by using tightly-supported radial basis function interpolation, a volume conservation constraint is introduced, an interface projection matrix is constructed based on a virtual work equivalence principle to transmit interface data, a force balance and displacement coordination constraint is introduced, and coupling iteration convergence is accelerated through an inverse Broyden formula. A density gradient shock wave sensor is adopted to drive grid adaptive encryption and a mixed indicator function to control turbulence model switching, and the technical problems that wind tunnel section airflow and wall surface structure fluid-structure interaction vibration numerical simulation calculation is low in efficiency and insufficient in precision are solved.

The invention relates to the technical field of curved surface deformation design, and discloses a parameterized channel curved surface deformation method and device based on radial basis function interpolation, and the method comprises the steps: creating an initial structure model of a target blade curved surface, and determining an initial channel curved surface; arranging a plurality of control points on the initial channel curved surface according to a preset point scattering rule, and interpolating by using a radial basis function to obtain a parameterized channel curved surface; on the basis of parameterized channel curved surface computational fluid mechanics, iterative optimization is carried out on the displacement of each control point by taking a computational fluid mechanics result as an optimization target, and the optimal displacement of each control point is obtained; and according to the optimal displacement of each control point, calculating the optimal displacement of each deformation point by using a radial basis function interpolation so as to carry out deformation. The displacement relation between each deformation point and each control point is determined by using radial basis function interpolation, the curved surface parameters are quantified, far and near curved surface deformation can be controlled according to different degrees of displacement of different control points, the deformation precision is improved, and the deformation reaches the optimal performance point.

The application provides a kind of SMD reel material humidity monitoring and moisture-proof storage management method, comprising: deployment humidity sensor data acquisition is extracted by RFID material humidity sensitive grade and cumulative exposure time output attribute record;Filter data to construct three-dimensional humidity field by radial basis function interpolation Mark abnormality, according to local humidity to determine exposure coefficient to update cumulative time to calculate remaining effective time to execute material classification to generate early warning, according to the highest sensitive level in the area to determine target humidity based on door opening event to calculate humidity intrusion compensation to generate control instruction;PID controller is adjusted to regulate dehumidification or proportional valve to regulate inert gas flow to make humidity approach target value, material state and early warning are synchronized to warehouse management system and manufacturing execution system to trigger linkage, alarm event is classified and pushed. The application replaces discrete point monitoring with three-dimensional humidity field perception, replaces manual ledger with exposure coefficient dynamic tracking, and performs humidity intrusion compensation on door opening driven by sensitive level control.

The invention discloses an electromagnetic transformer temperature monitoring method and device, electronic equipment and a storage medium. The method comprises the steps that S1, initialization and multi-mode calibration are carried out; s2, collaborative sampling and preprocessing; s3, three-dimensional temperature field reconstruction and digital twinborn prediction are carried out, multi-modal temperature samples subjected to space-time registration are projected to an equipment observation grid, and temperature volume data and local confidence are generated by adopting weighted interpolation or radial basis function interpolation based on distance and confidence; meanwhile, a heat-flow-electricity coupled digital twinborn model is constructed, and 10-30 minutes of short-term thermal field prediction and prior uncertainty are output; and S4, data assimilation, hot spot diagnosis and prospective early warning. According to the method, a closed loop formed by multi-modal sensing, three-dimensional reconstruction, digital twinning and data assimilation is realized, high-confidence estimation of a global temperature field is realized under the condition of incomplete measurement, adaptive encryption sampling is fed back through uncertainty, and the early warning advance and robustness are improved.

The invention discloses a simulation experiment method and system for different damp positions of an oil-immersed bushing capacitor core. According to the method, firstly, measuring points are arranged along the surface of a damped capacitor core, the moisture concentration is measured, a discrete data set of the moisture content is obtained, then a radial basis function interpolation method is adopted, the measured moisture data is further expanded, dense data points on a three-dimensional regular grid in the bushing capacitor core are obtained, and the moisture content of the bushing capacitor core is calculated. Flux and divergence thereof are calculated according to a moisture diffusion rule, and space coordinates of the damp position are determined through threshold screening and weighted calculation. Accurate positioning of the damp invasion position of the oil-immersed bushing capacitor core is realized, and the reliability of insulation state evaluation and fault early warning is improved.

The invention relates to the technical field of aerospace, in particular to a supersonic aircraft unsteady aerodynamic force prediction method considering a viscous effect, which comprises the following steps: establishing a CFD model of an analysis object, solving an N-S equation, and exporting near wall surface flow field parameters; on the basis of the near wall surface flow field parameters, radial basis function interpolation is adopted to obtain flow field parameters at any distance in the normal direction of the wall surface; based on the parameters of the flow field at any distance along the normal direction of the wall surface, solving a boundary layer thickness equation by using a Stevanson iteration method to obtain an effective shape of the aircraft; based on the effective shape of the aircraft, solving unsteady aerodynamic force under given displacement and speed boundary conditions by adopting a three-dimensional discretized local flow piston theory; according to the method, the calculation efficiency and calculation precision of the unsteady aerodynamic force can be improved.

This application relates to the field of game and animation production technology, and in particular to a method for modifying the appearance of animated characters, an electronic device, and a storage medium. This application first identifies the target driving bone from the skeletons of the target character model and adds a modification control component to the target driving bone; it then identifies the target modification controlled object associated with the target driving bone from a pre-set candidate control list; it captures bone pose transformation commands through the modification control component and determines the initial pose data, target pose data, and process pose data of the target character model based on the bone pose transformation commands, and then performs pose distance analysis to obtain a pose distance matrix; it performs radial basis function interpolation calculation based on the pose distance matrix to determine the corresponding modification weights for the process pose data; and finally, it performs character modification on the target modification controlled object to obtain the target animation of the modified character model. This method improves visual expressiveness while ensuring animation production efficiency.

The invention discloses a bucket wheel machine thermotechnical measuring point digital twin modeling and fault visual presentation method, and relates to the technical field of bucket wheel machines. The technical problems that in a traditional bucket wheel machine unattended system, due to the fact that a fault early warning function depends on a simple threshold value rule, a shallow diagnosis layer, a black box and response lag are caused are solved, electrical parameters are deeply analyzed to obtain a global state coefficient, then the three-dimensional laser scanning and radial basis function interpolation technology is utilized, and the fault early warning function is obtained. Reconstructing the temperature data of the limited measuring points into a continuous and high-fidelity three-dimensional temperature field so as to generate a visual thermal image evolution sequence; and finally, time sequence analysis is carried out based on the thermal image evolution sequence, sensitivity adjustment is carried out with the assistance of a global coefficient so as to output a temperature anomaly index, a composite type three-dimensional model is constructed according to the temperature anomaly index, the digital twin technology is successfully promoted to the engineering application level, and the intelligent level of bucket wheel machine state monitoring and fault early warning is improved.

This invention provides a method and system for dimensionality enhancement of bearing data based on radial basis function interpolation, belonging to the field of data dimensionality enhancement. To address the challenge of effectively enhancing dimensionality-reduced data in small-sample bearing defect detection, restoring the high-dimensional feature structure of the data, preserving the relationships between features, providing richer feature information for model training, and improving the model's detection performance and generalization ability, this invention proposes a dimensionality enhancement module based on radial basis functions to ensure complete restoration of the dimensionality-reduced data. This module achieves accurate feature restoration and diversity recovery, generating more realistic data and reducing artifacts. The invention employs radial basis function interpolation technology to enhance the dimensionality of the reduced data, restoring the high-dimensional feature structure of the data, preserving the relationships between features, providing richer feature information for model training, and improving the model's detection performance and generalization ability.

The application discloses a kind of implicit modeling methods and systems of geologic body fusing stratum constraint rule.It is determined that the application method includes the following steps: defining the topological relationship and implicit potential field function of geological unit in three-dimensional space;Based on geological data, each geological interface isogonic surface expression is generated using implicit function interpolation method, and the geological interface is sequentially spliced;According to the geological conditions, constraint definition is carried out;Based on the definition of geological age, the direction of geological interface and geological sequence are defined;Determine the lithology type at any position in space, and then use the multi-domain implicit surface reconstruction method to extract the geological body isosurface for segmentation and reconstruction, to obtain the topologically consistent three-dimensional geologic body model.The application method is based on generalized radial basis function interpolation method and PFM potential field method implicit modeling, meets a variety of geological rule constraints, uses the extended surface reconstruction method to automatically generate high-precision three-dimensional geologic body model, greatly improves the efficiency and reliability of geologic body implicit modeling.

A pneumatic humanoid dexterous hand collaborative planning and robust control method based on digital twinning belongs to the technical field of robot dexterous hand control and pneumatic driving, and comprises the following steps: establishing a digital twinning model and realizing virtual-real bidirectional mapping; constructing a task target and a constraint set, and obtaining a gesture and a capture intention; generating an initial reference trajectory by adopting a multi-quadratic radial basis function interpolation, and performing constraint optimization by taking the initial reference trajectory as a priori and combining full multiple targeting differential dynamic programming and an augmented Lagrange method to obtain a five-finger collaborative trajectory meeting joint boundary and task constraints; establishing a finger Lagrange dynamics and tendon rope transmission model; designing a nonlinear extended state observer to estimate coupling online; and constructing self-adaptive backstepping super-torsion sliding mode control and introducing disturbance compensation to realize high-precision robust tracking. According to the method, the planning feasibility is improved through assistance of the twin environment, and the precision and robustness of the dexterous hand in the grabbing process are remarkably enhanced.

The invention discloses an aircraft structure damage identification method, system and device and a computer medium, and relates to the technical field of aircrafts, and the method comprises the steps: obtaining a target model of a to-be-identified structure in an aircraft; generating a target stiffness distribution information field of the target model based on radial basis function interpolation; changing a coefficient of a radial basis function node in the target rigidity distribution information field to simulate damage, and generating strain variations before and after the change of the radial basis function node as reference strain variations; acquiring the actually measured strain variation of the to-be-identified structure; determining a target radial basis function node according to the similarity between the actually measured strain variation and the reference strain variation; determining the damage position of the to-be-identified structure based on the position corresponding to the target radial basis function node; and determining the damage degree of the to-be-identified structure based on the identified damage position. Damage identification is carried out through the radial basis function interpolation and the strain variation, the accuracy of damage identification is improved, and the method is low in cost and easy to popularize.

This invention discloses a method, system, and storage medium for geochemical data interpolation under multiple constraints. The method includes: acquiring geochemical element sampling information within a study area and constructing a radial basis function (RBF) interpolation model; adding tangent constraints, gradient constraints, and range constraints to the RBF interpolation model based on geological information to construct a multi-constraint RBF interpolation model; transforming the multi-constraint RBF interpolation model into a quadratic objective function with tangent and gradient constraints as equality constraints and range constraints as inequality constraints; and solving the quadratic objective function using an iterative interpolation method to obtain the geochemical data interpolation results within the study area. This invention applies a generalized radial basis interpolation method, providing a universal framework for adding different types of constraints through linear functionals. It can calculate interpolation results that better conform to geological laws and expert understanding, and has significant application value for geochemical mapping based on this method.

The invention relates to the technical field of material surface treatment, in particular to an efficient profiling spraying method for a magnesium casting deep-cavity special-shaped mold. An efficient profiling spraying method for a magnesium casting deep-cavity special-shaped mold comprises the steps that firstly, the actual size of the mold is obtained through a laser measuring instrument, the deviation rate is calculated through an ICP algorithm, a correction model is built through radial basis function interpolation, and the size is finished and rechecked; discretizing the mold surface to calculate the area, estimating the temperature by combining a finite element method and a heat conduction equation, and determining the total amount of a release agent; secondly, planning a nozzle track by using a spline curve, and optimizing spraying parameters by using a particle swarm optimization algorithm; during spraying, operation is performed according to an optimization result, release agent parameters are adjusted according to temperature deviation by using a self-adaptive fuzzy PID control algorithm, meanwhile, particle size distribution is inversed based on the maximum entropy principle by means of high-speed camera shooting, and accordingly, the pressure and flow of atomized gas are adjusted to cool and start equipment as required.

The invention discloses a dynamic regulation and control method for the water cooling strength of a molten iron trough based on infrared temperature field reconstruction, and belongs to the field of metallurgical equipment cooling control. According to the method, multi-source data are collected and preprocessed through multi-dimensional measuring point layout, a global temperature field is reconstructed by adopting a radial basis function interpolation fusion algorithm, and the residual ledge thickness and the erosion rate are calculated in combination with a heat conduction law and an erosion correction model; linkage regulation and control of water cooling parameters are realized according to a multi-dimensional threshold system, and the temperature field uniformity is guaranteed through graded alarm early warning risks and a closed-loop optimization algorithm; and storing full-process data, generating a dynamic maintenance plan based on an attenuation prediction model, and performing parameter adaptive calibration to optimize the precision. A traditional high-risk detection mode is abandoned, the water-cooling regulation and control accuracy and the equipment operation stability are improved, the service life of the lining body is prolonged, the energy consumption and the maintenance cost are reduced, and safety, accuracy and intelligentization of molten iron runner operation management are achieved.