16 results about "Quadrilateral grid" patented technology

The application aims to provide a stress-based 3D printing continuity path planning method. The application obtains a to-be-printed model, discretizes the to-be-printed model into a hexahedral grid, the side length of the grid is twice the printing path width, and the height is the pre-printed layer thickness, and the principal stress field is obtained by using finite element analysis. Since the path is generated on a two-dimensional quadrilateral grid, the principal stress direction field is projected onto the two-dimensional domain. For the stress value of the unit close to zero, the stress direction is arbitrary, a method of uniform principal stress direction field is proposed, the stress line is extracted from the principal stress direction field, a plurality of connection rules are adopted, the isolated points are eliminated, and the continuity is optimized. Finally, each stress line is offset to generate a path with a closed loop, and different paths are connected to generate a globally continuous path. In addition, the extrusion rate is adjusted adaptively according to the path direction to alleviate the overfilling problem caused by grid discretization. The model printed by the method has strong mechanical properties under the premise of guaranteeing the surface quality and the curved surface accuracy.

A computer-implemented method and apparatus for generating a quadrilateral grid from an image with an alpha channel. The method includes receiving an image with an alpha channel depicting a shape mapped onto a 3D surface, vectorizing the shape to create a vector path, determining corners by calculating a centroid and identifying the points, correcting a winding order to ensure a clockwise orientation, constructing a quadrilateral grid by setting sub-paths based on detected corners, resampling the sub-paths to match specified rows and columns, performing weighted interpolation across the grid using inverse square distance weighting, and outputting the generated quadrilateral grid for display on a computer device. The apparatus comprises a processor configured to execute these steps, including vectorizing the shape, determining corners, correcting the winding order, constructing and resampling the grid, performing weighted interpolation, and subdividing the 3D mesh for flexible manipulation and extrapolation.

The application discloses a structure surface grid automatic generation method based on topological filling, and relates to the technical field of aerospace engineering simulation and grid generation. The method comprises the following steps: intelligently dividing a three-dimensional CAD model into parts to obtain parts with semantic labels and geometric contours; sequentially performing ordered topological filling on each part according to a preset order, adjusting the number of intersection edge points of adjacent parts to ensure grid connection, and generating topological lines; projecting the topological lines onto the model surface for calibration; adaptively interpolating the projected topological lines based on model curvature and simulation conditions to generate point cloud data; generating an initial quadrilateral grid based on the point cloud; projecting the initial grid nodes onto the model surface again and optimizing the quality, and outputting the final grid. The application realizes end-to-end automatic generation from a CAD model to a high-quality surface grid, eliminates manual intervention, ensures the natural matching of grids between parts, and significantly improves the grid generation efficiency and quality.

The application discloses a smooth finite element-Newmark calculation method for underwater target transient acoustic scattering, and belongs to the technical field of underwater transient acoustic scattering numerical simulation. First, a calculation domain of an underwater transient acoustic scattering field is discretized into a standard quadrilateral element grid, and an acoustic pressure field interpolation format is constructed. The quadrilateral element is divided into multiple smooth domains, a smooth acoustic pressure gradient field is obtained through acoustic generalized gradient smoothing technology, and a smooth acoustic pressure gradient matrix is obtained through Gaussian integration. A system matrix equation is constructed in combination with a transient acoustic scattering control equation and a Galerkin weighted residual value method. A parameter-optimized Newmark time integration method is used to complete time domain discretization and recursive solving, and numerical results of the transient acoustic scattering field are obtained. The application softens the system stiffness matrix through gradient smoothing technology, reduces spatial discretization error, eliminates time domain false numerical damping, and has higher precision than the standard finite element method under the same grid, thereby providing an efficient and reliable scheme for underwater transient acoustic scattering engineering calculation.

This invention discloses a smoothed finite element adjustable damping implicit integral algorithm for underwater transient acoustic scattering, belonging to the field of underwater transient acoustic scattering numerical simulation technology. First, the computational domain of the underwater transient acoustic scattering field is discretized into a standard quadrilateral element mesh to construct an interpolation scheme for the sound pressure field. Then, each quadrilateral element is divided into multiple smooth domains, and the smoothed sound pressure gradient matrix is ​​obtained through acoustic generalized gradient smoothing technology. Combining differential control equations, the virtual displacement principle, and the Galerkin weighted residual method, the system matrix equation is constructed. An adjustable damping implicit time integral algorithm is used to complete the time-domain discretization, and the numerical results of the transient acoustic scattering field in the entire time domain are obtained through recursive solution. This invention can soften the "overly stiff" stiffness matrix to reduce spatial discretization errors, suppress high-frequency errors through adjustable numerical damping matching, and achieve coordinated control of spatiotemporal errors. Under the same mesh, its accuracy is superior to the standard finite element method, providing an efficient and reliable solution for underwater transient acoustic scattering engineering simulation.

The application discloses a kind of polygon quadrilateral grid automatic subdivision methods based on deep reinforcement learning, it is related to the field of computational geometry and grid generation, the application constructs a kind of automatic subdivision framework of fusion geometry priori knowledge and data-driven strategy.The method predefines 9 kinds of basic topological filling templates covering triangle to hexagon as discrete action space, converts continuous geometry segmentation into sequence decision problem;The mapping relationship between polygon state characteristics and optimal template selection strategy is learned using deep Q network, and exploration and utilization are balanced through dynamic epsilon-greedy mechanism;Combining vertex number priority scheduling strategy and multidimensional quality reward function, guide agent to adaptively generate high-quality quadrilateral grid.The application realizes the full-automatic, high robustness subdivision of complex polygon region, significantly improves the grid orthogonality and aspect ratio quality, avoids manual intervention, and is suitable for finite element analysis and other engineering scenarios.

A computer-implemented method and apparatus for generating and refining synthetic images of customizable products. The method includes receiving a text prompt describing a product and a desired markup, generating a synthetic image using a generative AI system, validating the image against physical product specifications, mapping the image onto a 3D surface using quadrilateral grid interpolation, applying inpainting techniques to remove the markup while preserving fabric details, incorporating lighting and specular effects to enhance realism, and integrating the enhanced image into an interactive asset for user interaction and customization prior to manufacturing. The apparatus comprises a generative AI system, a validation and correction module, a 3D mapping and image synthesis module, an inpainting module, an interactive asset creation system, depth estimation and mapping tools, and a lighting and specular effects module. The system supports real-time customization and multiple design variations, ensuring conformity with physical specifications.

The invention discloses a structure surface grid automatic generation method based on topology filling, and relates to the technical field of aerospace engineering simulation and grid generation. The method comprises the following steps: carrying out intelligent component subdivision on a three-dimensional CAD model to obtain components with semantic tags and geometric contours of the components; sequentially executing ordered topology filling on each component according to a preset sequence, cooperatively adjusting intersection edge points of adjacent components to ensure grid connection, and generating a topological line; projecting the topological line to the surface of the model for calibration; performing adaptive interpolation on the projected topological line based on the model curvature and the simulation working condition to generate point cloud data; generating an initial quadrilateral grid based on the point cloud; the initial grid nodes are projected to the surface of the model again, quality optimization is carried out, and a final grid is output. According to the method, the end-to-end automatic generation from the CAD model to the high-quality surface grid is realized, the manual intervention is eliminated, the natural matching of the grids between the parts is ensured, and the grid generation efficiency and quality are remarkably improved.

The application discloses a smooth finite element-Bathe calculation method for underwater target transient acoustic scattering, and belongs to the technical field of underwater transient acoustic scattering numerical simulation. Firstly, a sound scattering field calculation domain is discretized into a quadrilateral element grid, and an acoustic pressure field interpolation format is established; then, an element smooth domain is divided, a smooth acoustic pressure gradient matrix is obtained through acoustic generalized gradient smoothing technology, and a system matrix equation is constructed in combination with a transient acoustic scattering control equation and a Galerkin weighted residual value method; time domain discretization is completed through the Bathe time integration method, and iterative solution is carried out, so that full-time domain numerical results of the transient acoustic scattering field are obtained. Through the gradient smoothing technology, the spatial discretization error is reduced, error cooperative suppression is realized in combination with the frequency self-adaptive numerical damping of the Bathe integration method, the precision is higher and the stability is better than those of the standard finite element method under the same grid, and an efficient and reliable scheme is provided for underwater transient acoustic scattering engineering solution.

This application discloses a method, device, and storage medium for generating vertical grids suitable for complex terrain, relating to the field of fluid numerical computation technology. The key technical points are: the method includes: acquiring topographic elevation data of the target terrain region; generating planar triangular or quadrilateral grids based on the topographic elevation data; defining the control water depth and grid layer number for several terrain feature control points; determining the critical water depth between deep and shallow water areas; calculating the characteristic values ​​and elevation values ​​of each grid point; performing local vertical subtraction to generate a series of characteristic values ​​and elevation values; and generating the vertical grid of the target terrain region based on the series of characteristic values ​​and elevation values ​​of each grid point. This generation method can adapt to complex underwater terrain and allocate appropriate vertical grid layers in deep and shallow water areas respectively, satisfying the requirements of vertical resolution while improving model computational efficiency and accuracy.

A computer-implemented method and apparatus for generating and refining synthetic images of customizable products. The method includes receiving a text prompt describing a product and a desired markup, generating a synthetic image using a generative Al system, validating the image against physical product specifications, mapping the image onto a 3D surface using quadrilateral grid interpolation, applying inpainting techniques to remove the markup while preserving fabric details, incorporating lighting and specular effects to enhance realism, and integrating the enhanced image into an interactive asset for user interaction and customization prior to manufacturing. The apparatus comprises a generative Al system, a validation and correction module, a 3D mapping and image synthesis module, an inpainting module, an interactive asset creation system, depth estimation and mapping tools, and a lighting and specular effects module. The system supports real-time customization and multiple design variations, ensuring conformity with physical specifications.

The system is designed to generate ordered quadrangular meshes for three-dimensional, non-canonical surfaces. It includes a partitioning unit that divides the input surface into quadrangular fragments. The system features a computational unit connected to the partitioning unit, which transforms each fragment into a topological square using form functions. A subdivision module, linked to the computational unit, assigns and applies different division numbers (n1, n2, n3, and n4) to each side of the square. This process results in various mesh forms, including square, rectangular, and quadrangular elements. The system further includes a mesh generation unit connected to the subdivision module, which constructs an ordered mesh composed of convex quadrangular elements. The generated mesh ensures that neighboring elements have comparable properties, and a triangular element is added if the sum of the division numbers is odd, ensuring consistency and structural integrity in the mesh.

The application discloses a kind of partition parameterization spherical shell body full hexahedron grid generation methods based on geological feature geometric constraint, it is related to CAE grid generation and numerical simulation pre-processing technical field, including: spherical shell geometry and radial stratification information, geological feature surface and its boundary element data import;Spherical surface partition and subdomain two-dimensional parameter domain construction, and generate parameter domain line constraint;Subdomain full quadrilateral grid generation based on line constraint;Subdomain grid inverse mapping and overall spherical grid generation;Radial stratification control and radial sweep generate spherical shell body full hexahedron grid and output.The application constructs the integration process of geological feature geometric constraint, partition parameterization and full hexahedron body grid generation, can obtain the topologically consistent spherical shell body full quadrilateral surface grid and generate spherical shell body full hexahedron body grid under complex linear geological constraint, overcome the limitation that overall parameterization is easy to produce projection singularity and scale distortion in polar region, grid is easy to degenerate and difficult to high-quality sectioning.

The application discloses a kind of discrete developable surface construction and optimization method, system, equipment and medium, the method includes: obtaining quadrilateral grid;According to quadrilateral grid, parallel quadrilateral cell in chessboard distribution is constructed inside quadrilateral grid, and establish developable surface geometric model;The constraint of developable surface geometric model includes: having the constraint of chessboard pattern with embedded parallel quadrilateral, equiangular constraint, shape similarity constraint and equidistance constraint;Developable surface geometric model is solved, and discrete developable surface with congruent parallel quadrilateral is obtained;The geometric feature of the discrete developable surface is encoded into uniform plane unit, so that each surface sheet can be processed and formed using the same machining parameter or the same mold set.The application significantly reduces the number of molds and manufacturing complexity, and improves the feasibility of engineering implementation.The application integrates the chessboard pattern construction, equiangular and equidistance geometric constraints and engineering solving process into the same technical system, realizes the complete engineering process from quadrilateral grid to discrete developable surface.The application is suitable for being applied to building curved surface structure and curtain wall unit design, deployable shell and foldable structure modeling, sheet bending and sheet metal forming design, engineering shell and cladding structure design, and assembly type structure manufacturing based on plane sheet, etc.