CN115619939A - Fluid simulation-based 3D model design method, system, medium, and apparatus - Google Patents
Fluid simulation-based 3D model design method, system, medium, and apparatus Download PDFInfo
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Abstract
The invention belongs to the technical field of three-dimensional modeling, and provides a fluid simulation-based 3D model design method, a system, a storage medium and equipment. Converting the 3D model parameters into fluid simulation parameters, and simulating to obtain corresponding fluid particle state information based on initial parameters of a fluid simulation system; sequentially performing hole completion and surface reconstruction based on the fluid particle state information to obtain a corresponding fluid model; screening out a fluid model with preset requirements to obtain a corresponding 3D model for 3D printing.
Description
Technical Field
The invention belongs to the technical field of three-dimensional modeling, and particularly relates to a fluid simulation-based 3D model design method, system, medium and equipment.
Background
The statements in this section merely provide background information related to the present disclosure and may not necessarily constitute prior art.
This type of sculpture creation is extremely difficult and not designed by the general public due to the uncertainty and complexity of the fluid. With the progress and development of 3D printing technology, more users are motivated to design creative three-dimensional models, and the view of the public is also transferred from fluid sculptures to the production of fluid models using 3D printing. The advent of 3D printing technology facilitated the manufacturing process of goods, but also required the user to manually create a fluid model to create a printable file prior to manufacturing.
The inventor finds that although the existing auxiliary modeling software provides the function of fluid simulation, the whole process from designing a simulation scene to reconstructing a fluid surface still requires a user to have skillful modeling skill, which is not suitable for people without modeling experience, and the process of designing a 3D model is complex, even if the 3D model is designed by the modeling software, the 3D model does not necessarily meet the final requirement, and each modeling link must be modified again in order to finally meet the requirement, so that the modification process is complicated.
Disclosure of Invention
In order to solve the technical problems in the background art, the present invention provides a method, a system, a medium, and an apparatus for designing a 3D model based on fluid simulation, which do not require a user to grasp the modeling capability and can acquire a corresponding fluid model only by modifying parameters.
In order to achieve the purpose, the invention adopts the following technical scheme:
the invention provides a 3D model design method based on fluid simulation.
A method of 3D model design based on fluid simulation, comprising:
converting the 3D model parameters into fluid simulation parameters, and simulating to obtain corresponding fluid particle state information based on the initial parameters of the fluid simulation system;
sequentially performing hole completion and surface reconstruction based on the fluid particle state information to obtain a corresponding fluid model;
screening out a fluid model with preset requirements to obtain a corresponding 3D model for 3D printing.
As one embodiment, the initial parameters of the fluid simulation system include the selection of the base boundary model, the viscosity of the fluid flow, the shape and size of the fluid, the total duration of the simulation, and the time interval between successive outputs of the model.
As an embodiment, the fluid simulation system is constructed by the following process:
the fluid method simulation algorithm based on the Lagrange visual angle of particles is used, the method of implicit incompressible SPH is selected to be used as the solving algorithm of fluid pressure, and the iterative solution of the conjugate gradient descent method is selected to be used as the calculation mode of viscous force between fluids.
As an embodiment, the process of hole completion based on the fluid particle state information is as follows:
traversing fluid particles, analyzing the position of a hole which may appear during model reconstruction, and marking the particles at the hole;
traversing the hole particles, performing weighted principal component analysis according to the distribution of the neighborhood particles around the particles at the hole, constructing a filling core which is in fit with the shape of the hole, adding a filling particle to fill the filling core, and smoothing the added particle to fit the surface of the fluid.
As an embodiment, the hole completion process is as follows:
a surface mesh was constructed using a particle-based anisotropic nuclear surface reconstruction algorithm and fluidic surfaces were extracted using marching cubes.
A second aspect of the invention provides a system for 3D model design based on fluid simulation.
A fluid simulation-based 3D model design system, comprising:
the fluid simulation module is used for converting the 3D model parameters into fluid simulation parameters and then simulating to obtain corresponding fluid particle state information based on the initial parameters of the fluid simulation system;
the fluid model acquisition module is used for sequentially carrying out hole completion and surface reconstruction based on the fluid particle state information to obtain a corresponding fluid model;
and the 3D model printing module is used for screening out the fluid models with preset requirements to obtain corresponding 3D models for 3D printing.
As one embodiment, the initial parameters of the fluid simulation system include the selection of the base boundary model, the viscosity of the fluid flow, the shape and size of the fluid, the total duration of the simulation, and the time interval between successive outputs of the model.
As an embodiment, the fluid simulation system is constructed by the following process:
the fluid method simulation algorithm based on the Lagrange visual angle of particles is used, the method of implicit incompressible SPH is selected to be used as the solving algorithm of fluid pressure, and the iterative solution of the conjugate gradient descent method is selected to be used as the calculation mode of viscous force between fluids.
As an embodiment, the process of hole completion based on the fluid particle state information is as follows:
traversing fluid particles, analyzing the position of a hole which may appear during model reconstruction, and marking the particles at the hole;
traversing the hole particles, performing weighted principal component analysis according to the distribution of the neighborhood particles around the particles at the hole, constructing a filling core which is in fit with the shape of the hole, adding a filling particle to fill the filling core, and smoothing the added particle to fit the surface of the fluid.
As an embodiment, the process of hole completion is as follows:
a surface mesh was constructed using a particle-based anisotropic nuclear surface reconstruction algorithm and fluidic surfaces were extracted using marching cubes.
A third aspect of the invention provides a computer-readable storage medium.
A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the steps of the fluid simulation based 3D model design method as described above.
A fourth aspect of the invention provides an electronic device.
An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing the steps in the fluid simulation based 3D model design method as described above when executing the program.
Compared with the prior art, the invention has the beneficial effects that:
(1) According to the method, the corresponding fluid particle state information is obtained through simulation based on the initial parameters of the fluid simulation system, hole completion and surface reconstruction are sequentially carried out based on the fluid particle state information to obtain the corresponding fluid model, and finally the fluid model with preset requirements is screened out to obtain the corresponding 3D model for 3D printing.
(2) The invention provides a hole completion method based on the existing surface extraction algorithm, which can complete holes of a fluid model by adding fluid particles before surface reconstruction, ensures the effectiveness, integrity and functionality of a printable model, and reduces subsequent filling processing operation.
Advantages of additional aspects of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, are included to provide a further understanding of the invention, and are incorporated in and constitute a part of this specification, illustrate exemplary embodiments of the invention and together with the description serve to explain the invention and not to limit the invention.
Fig. 1 is a flowchart of a fluid simulation-based 3D model design method according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a parameter panel for a user to select according to an embodiment of the present invention;
FIG. 3 (a) is a diagram of a first model of an output of a fluid simulation process according to an embodiment of the present invention;
FIG. 3 (b) is a diagram of a second model of the output of the fluid simulation process according to an embodiment of the present invention;
FIG. 3 (c) is a diagram of a third model of the output of the fluid simulation process according to the first embodiment of the present invention;
FIG. 3 (d) is a diagram of a fourth model of the output of the fluid simulation process according to the first embodiment of the present invention;
fig. 4 (a) is a surface reconstruction output result of the 1 st frame in the output model according to the first embodiment of the present invention;
fig. 4 (b) is a surface reconstruction output result of the 3 rd frame in the output model according to the first embodiment of the present invention;
fig. 4 (c) is a surface reconstruction output result of the 13 th frame in the output model according to an embodiment of the present invention;
fig. 4 (d) is a surface reconstruction output result of the 27 th frame in the output model according to the first embodiment of the present invention;
fig. 5 (a) is a schematic view of a hole filling effect 1 according to an embodiment of the present invention;
fig. 5 (b) is a schematic view of a hole completing effect 2 according to an embodiment of the present invention.
Detailed Description
The invention is further described with reference to the following figures and examples.
It is to be understood that the following detailed description is exemplary and is intended to provide further explanation of the invention as claimed. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the invention. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof, unless the context clearly indicates otherwise.
Example one
Referring to fig. 1, a method for designing a 3D model based on fluid simulation according to this embodiment includes:
step 1: and converting the 3D model parameters into fluid simulation parameters, and simulating to obtain corresponding fluid particle state information based on the initial parameters of the fluid simulation system.
As shown in fig. 2, the user selects necessary parameters according to the panel prompt, that is, the initial parameters of the fluid simulation system include the selection of the base boundary model, the viscosity of the fluid flow, the shape and size of the fluid, the total time of the simulation, and the time interval of the continuous output of the model.
The process of converting the 3D model parameters into fluid simulation parameters is:
according to the corresponding relation set in the system, the content set by the user is converted into parameters which can be used by the simulation system, such as: using the solid particles in the fluid simulation to replace the base model selected by the user as a boundary, converting the viscosity of the fluid flow into a viscosity coefficient mu required by viscous force calculation in the fluid simulation, converting the shape and the size of the fluid into the number of fluid particles and calculating the position of each particle.
The construction process of the fluid simulation system comprises the following steps:
a fluid method simulation algorithm based on a particle Lagrange visual angle is used, an implicit incompressible SPH method is selected to serve as a solving algorithm of fluid pressure, and iterative solution of a conjugate gradient descent method is selected to serve as a calculation mode of viscous force between fluids.
Specifically, the system initializes particle information, and applies for a storage space for the initial particle according to the adjusted parameter;
the fluid pressure poisson equation is solved by using an IISPH (explicit compressible SPH) algorithm, the poisson equation of the fluid viscosity force is solved by using a CG (conjugate gradient descent) iteration, a solver for fluid simulation in the method is constructed, and simulation is performed on initialized fluid particles, in order to ensure that a solving system can stably run and cannot be too slow, the time step selected by the method is 0.001, the simulation process is shown in fig. 3 (a) -3 (d), the viscosity of the fluid in the embodiment is selected to be 1.5, the boundary shape is selected to be 'cup', the initial particle shape is a cuboid, the length, width, height and number are 0.8, 0.8 and 0.1, and the number of the fluid particles is 6k.
And 2, step: and sequentially performing hole completion and surface reconstruction based on the fluid particle state information to obtain a corresponding fluid model.
The process of hole completion based on the fluid particle state information comprises the following steps:
traversing the fluid particles, analyzing the positions of holes possibly generated during model reconstruction, and marking the particles at the holes;
traversing the hole particles, performing weighted principal component analysis according to the distribution of the neighborhood particles around the particles at the hole, constructing a filling core which is in fit with the shape of the hole, adding a filling particle to fill the filling core, and smoothing the added particle to fit the surface of the fluid.
The process of hole completion is as follows:
a surface mesh was constructed using a particle-based anisotropic nuclear surface reconstruction algorithm and fluidic surfaces were extracted using marching cubes.
Specifically, acquiring a simulation state at a certain moment, and inputting physical information of fluid particles into a surface reconstruction system;
in the fluid simulation, each particle can store the number of the neighborhood particles around the particle, and at the position where the model hole is easy to appear, the number of the neighborhood particles of the particle is lower than the mean value, so the method traverses all the fluid particles, checks the number of the neighborhood particles, marks the particle at the position as the hole particle when determining that the number of the neighborhood particles is smaller than the mean value, and adds the hole particle into the hole particle set S;
in order to make the filling particles conform to the shape of the hole, the method analyzes the shape of the hole, traverses the set S of hole particles, and depends on the distribution of the neighborhood particles around itConstructing the matrix C using a method of Weighted Principal Component Analysis (WPCA) i ＝∑ j w ij (x j -x i )(x j -x i ) T /∑ j w ij ；
Wherein
x i Is the coordinate position, x, of the pore particle j For the coordinate position of the neighborhood particle, h is the radius of the kernel (h is usually set to be 4 times of the radius of the particle according to the algorithm of fluid simulation), the matrix C describes the distribution of the neighborhood particles around the hole particle, and in order to enable the filling kernel to carry out rotation deformation according to the eigenvalue and the eigenvector of the matrix C, the inverse matrix G of the matrix C needs to be calculated;
constructing a filling core W taking the current particle as the center and twice the radius h of the core as the filling radius for each hole particle, uniformly adding the particles in the core by taking the particle diameter as an interval, and calculating the distance vector r = x between the particles and the hole particles i -x j Wherein x is i Is the hole particle coordinate, x j Is the coordinates of the added particle. And judging whether the length value | Gr | | of the distance vector r of the added particle after the deformation of the matrix G is smaller than the kernel radius h, and adding the added particle serving as a filling particle into a filling set F when the condition that the length value is smaller than the kernel radius h is met.
Because the filling position is not formed by simulation and is not completely attached to a plane, in order to ensure that the added particles can be attached to the surface more and no bulge is formed, the method carries out smoothing treatment on the filling particles in the filling set F, and the step uses a Laplace smoothing method, namely the Laplace smoothing method
Wherein lambda is the smoothing coefficient, generally 0.9-1.0, the method takes 0.98 i To fill in the coordinates of the particles, x j To fill up the particles F i The coordinates of the neighborhood particles.
Constructing a surface mesh from the fluid particles and the filling particles by using an SPH-oriented anisotropic nuclear surface reconstruction method;
extracting the fluid surface from the surface mesh by using the marking cubes, the method does not fix the value of the isosurface, calculates the average value avg of the scalar values of all the surface mesh points, and lets the value iso _ value = avg 0.666, so as to extract the fluid model, as shown in fig. 4 (a) -4 (d), the output results of the frames 1, 3, 13 and 27 in the output model of the first embodiment are selected as the display. The hole filling effect is shown in fig. 5 (a) and 5 (b), where the left side shows the fluid surface reconstruction result without hole completion, the right side shows the surface reconstruction result after hole completion, and both the two figures are compared with each other by taking the same frame of result.
And 3, step 3: screening out a fluid model with preset requirements to obtain a corresponding 3D model for 3D printing.
Displaying all the generated fluid models to screen out fluid models with preset requirements, and repeating the method to obtain the required models if the displayed models do not accord with the expectation of the user.
And finally, outputting the model according to the selection of the user, and performing 3D printing.
Example two
The present embodiment provides a fluid simulation-based 3D model design system, which includes:
(1) The fluid simulation module is used for converting the 3D model parameters into fluid simulation parameters and then simulating to obtain corresponding fluid particle state information based on the initial parameters of the fluid simulation system;
the initial parameters of the fluid simulation system comprise selection of a base boundary model, viscosity of fluid flow, shape and size of fluid, total time of simulation and time interval of continuous output of the model.
Specifically, the construction process of the fluid simulation system comprises the following steps:
a fluid method simulation algorithm based on a particle Lagrange visual angle is used, an implicit incompressible SPH method is selected to serve as a solving algorithm of fluid pressure, and iterative solution of a conjugate gradient descent method is selected to serve as a calculation mode of viscous force between fluids.
(2) The fluid model acquisition module is used for sequentially performing hole completion and surface reconstruction based on the fluid particle state information to obtain a corresponding fluid model;
the process of hole completion based on the fluid particle state information comprises the following steps:
traversing the fluid particles, analyzing the positions of holes possibly generated during model reconstruction, and marking the particles at the holes;
traversing the hole particles, performing weighted principal component analysis according to the distribution of the neighborhood particles around the particles at the hole, constructing a filling core which is in fit with the shape of the hole, adding a filling particle to fill the filling core, and smoothing the added particle to fit the surface of the fluid.
The process of hole completion is as follows:
the surface mesh was constructed using a particle-based anisotropic nuclear surface reconstruction algorithm and the fluidic surface was extracted using marching cubes.
(3) And the 3D model printing module is used for screening out the fluid models with preset requirements to obtain corresponding 3D models for 3D printing.
It should be noted that, each module in the present embodiment corresponds to each step in the first embodiment one to one, and the specific implementation process is the same, which is not described again here.
EXAMPLE III
The present embodiment provides a computer-readable storage medium having stored thereon a computer program which, when executed by a processor, performs the steps in the fluid simulation-based 3D model design method as described above.
Example four
The present embodiment provides an electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor executes the program to implement the steps of the fluid simulation-based 3D model design method as described above.
The present invention has been described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (10)
1. A3D model design method based on fluid simulation is characterized by comprising the following steps:
converting the 3D model parameters into fluid simulation parameters, and simulating to obtain corresponding fluid particle state information based on the initial parameters of the fluid simulation system;
sequentially performing hole completion and surface reconstruction based on the fluid particle state information to obtain a corresponding fluid model;
screening out a fluid model with preset requirements to obtain a corresponding 3D model for 3D printing.
2. The method of claim 1, wherein the initial parameters of the fluid simulation system include selection of a base boundary model, viscosity of fluid flow, shape and size of fluid, total duration of simulation, and time interval of continuous output of the model.
3. The fluid simulation-based 3D model design method according to claim 1, wherein the fluid simulation system is constructed by the following process:
a fluid method simulation algorithm based on a particle Lagrange visual angle is used, an implicit incompressible SPH method is selected to serve as a solving algorithm of fluid pressure, and iterative solution of a conjugate gradient descent method is selected to serve as a calculation mode of viscous force between fluids.
4. The fluid simulation-based 3D model design method of claim 1, wherein the hole completion process based on the fluid particle state information is as follows:
traversing the fluid particles, analyzing the positions of holes possibly generated during model reconstruction, and marking the particles at the holes;
traversing the hole particles, performing weighted principal component analysis according to the distribution of the neighborhood particles around the particles at the hole, constructing a filling core which is in fit with the shape of the hole, adding a filling particle to fill the filling core, and smoothing the added particle to fit the surface of the fluid.
5. The fluid simulation-based 3D model design method according to claim 1 or 4, wherein the hole completion process is as follows:
a surface mesh was constructed using a particle-based anisotropic nuclear surface reconstruction algorithm and fluidic surfaces were extracted using marching cubes.
6. A fluid simulation-based 3D model design system, comprising:
the fluid simulation module is used for converting the 3D model parameters into fluid simulation parameters and then simulating to obtain corresponding fluid particle state information based on the initial parameters of the fluid simulation system;
the fluid model acquisition module is used for sequentially carrying out hole completion and surface reconstruction based on the fluid particle state information to obtain a corresponding fluid model;
and the 3D model printing module is used for screening out the fluid models with preset requirements to obtain corresponding 3D models for 3D printing.
7. The fluid simulation-based 3D model design system of claim 6, wherein the initial parameters of the fluid simulation system include selection of a base boundary model, viscosity of fluid flow, shape and size of fluid, total duration of simulation, and time interval of model continuous output;
or
The construction process of the fluid simulation system comprises the following steps:
the fluid method simulation algorithm based on the Lagrange visual angle of particles is used, the method of implicit incompressible SPH is selected to be used as the solving algorithm of fluid pressure, and the iterative solution of the conjugate gradient descent method is selected to be used as the calculation mode of viscous force between fluids.
8. The fluid simulation-based 3D model design system of claim 6,
the process of hole completion based on the fluid particle state information comprises the following steps:
traversing the fluid particles, analyzing the positions of holes possibly generated during model reconstruction, and marking the particles at the holes;
traversing the hole particles, performing weighted principal component analysis according to the distribution of the neighborhood particles around the particles at the hole, constructing a filling core which is in fit with the shape of the hole, adding a filling particle to fill the filling core, and smoothing the added particle to make the particle fit with the surface of the fluid;
or
The process of hole completion is as follows:
a surface mesh was constructed using a particle-based anisotropic nuclear surface reconstruction algorithm and fluidic surfaces were extracted using marching cubes.
9. A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the steps of the fluid simulation based 3D model design method according to any one of claims 1-5.
10. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor implements the steps of the fluid simulation-based 3D model design method of any one of claims 1-5 when executing the program.
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| CN116416409B (en) * | 2023-04-06 | 2023-11-07 | 山东大学 | Fluid simulation particle self-adaptive resolution surface reconstruction method and system |
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