CN114228154A - Gradient void structure modeling slicing method and system based on three-dimensional section characteristics - Google Patents

Gradient void structure modeling slicing method and system based on three-dimensional section characteristics Download PDF

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CN114228154A
CN114228154A CN202111447569.9A CN202111447569A CN114228154A CN 114228154 A CN114228154 A CN 114228154A CN 202111447569 A CN202111447569 A CN 202111447569A CN 114228154 A CN114228154 A CN 114228154A
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CN114228154B (en
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魏正英
来旭辉
王材桦
杨欢庆
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Xian Jiaotong University
Xian Aerospace Engine Co Ltd
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Xian Aerospace Engine Co Ltd
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C64/00—Additive manufacturing, i.e. manufacturing of three-dimensional [3D] objects by additive deposition, additive agglomeration or additive layering, e.g. by 3D printing, stereolithography or selective laser sintering
    • B29C64/30—Auxiliary operations or equipment
    • B29C64/386—Data acquisition or data processing for additive manufacturing
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C64/00—Additive manufacturing, i.e. manufacturing of three-dimensional [3D] objects by additive deposition, additive agglomeration or additive layering, e.g. by 3D printing, stereolithography or selective laser sintering
    • B29C64/30—Auxiliary operations or equipment
    • B29C64/386—Data acquisition or data processing for additive manufacturing
    • B29C64/393—Data acquisition or data processing for additive manufacturing for controlling or regulating additive manufacturing processes
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B33—ADDITIVE MANUFACTURING TECHNOLOGY
    • B33Y—ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
    • B33Y50/00—Data acquisition or data processing for additive manufacturing
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B33—ADDITIVE MANUFACTURING TECHNOLOGY
    • B33Y—ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
    • B33Y50/00—Data acquisition or data processing for additive manufacturing
    • B33Y50/02—Data acquisition or data processing for additive manufacturing for controlling or regulating additive manufacturing processes

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Abstract

The invention discloses a gradient void structure modeling slicing method and a system based on three-dimensional section characteristics, wherein the method comprises the following steps: based on the three-dimensional discrete characteristics of the skin structure, calculating the projection point number ratio of the section profiles at different heights in the X axis and the Y axis according to the distance; based on an interpolation function of gradient change, a filling model of a target skeleton is constructed by adopting a three-dimensional periodic minimized curved surface, TMPS coordinates in each layer are transformed along the gradient of the skin surface, and reconstruction and dynamic deletion are carried out after the filling model with the gradient is obtained, so that a triangular patch set which is completely intersected with a tangent plane is obtained; extracting a model section binary image at a specified height according to the slicing position, gradually searching along the edges of the inner contour and the outer contour, extracting a contour curve, and further obtaining a printed slicing result; establishing a gradient TPMS filling model according to the curvature or strength change of the skeleton model outline, and reducing the weight and simultaneously according to the pores; the calculation efficiency is greatly improved.

Description

Gradient void structure modeling slicing method and system based on three-dimensional section characteristics
Technical Field
The invention belongs to the technical field of 3D printing model processing, and particularly relates to a gradient void structure modeling slicing method and system based on three-dimensional section characteristics.
Background
The human skeleton structure is complicated and irregular, especially the sparse bone, and the inside of the human skeleton is filled with the communication pores with complicated shapes. In order to ensure the internal topology structure of the bone scaffold, a spatial lattice is usually used as a pore-creating unit to establish a microstructure, and after the porous lattice structure and the bone model are subjected to boolean operations, an stl (stereo lithography) model for additive manufacturing can be obtained. A large number of experimental researches find that the interior of a TPMS (thermoplastic periodic chemical surface) structure is a communicated curved surface, the porosity and the specific surface area can be accurately designed, and the TPMS structure is very beneficial to proliferation and diffusion of cells and transmission of nutrient substances, so that the TPMS structure is frequently used as a filling material of a tissue engineering scaffold or a bone repair structure. Because the TPMS has a complex structure and a small unit cell size, the TPMS is printed and formed by adopting an additive manufacturing technology. In addition, in the additive manufacturing process, the three-dimensional model is recorded by using STL triangular grid data, and 10 is often needed for accurately expressing the bone model formed by TPMS6-108A grid, which greatly increases the slicing time, making the actual shaping process difficult to achieve.
Disclosure of Invention
In order to solve the problems in the prior art, the invention provides a gradient void structure modeling slicing method and a gradient void structure modeling slicing system based on three-dimensional cross section characteristics.
In order to achieve the purpose, the invention adopts the technical scheme that the gradient void structure modeling slicing method based on the three-dimensional section characteristics comprises the following steps:
obtaining a skin structure based on the target skeleton three-dimensional scanning data;
based on the three-dimensional discrete characteristics of the skin structure, calculating the ratio of the number of projection points of the cross-section outlines at different heights in the X axis and the Y axis according to the distance, and taking the ratio of the number of the projection points in the sampling distance as the gradient of the internal filling structure at the current height; constructing a filling model of a target skeleton by adopting a three-dimensional periodic minimized curved surface based on an interpolation function of gradient change, and transforming the regular TMPS coordinates in each layer along the gradient of the skin surface to obtain a filling model with the gradient;
reconstructing and dynamically deleting the filling model with the gradient, and dividing the macroscopic lattice model into n layers to obtain the position of a triangular patch of each layer relative to the thickness of the t layer and the step length s; when the layer thickness t is larger than the sampling interval, obtaining a triangular patch set which is completely intersected with the tangent plane according to the formula; when the layer thickness t is smaller than the sampling interval, calculating a primary position relation from the implicit function to obtain a triangular patch set which is completely intersected with the tangent plane;
and extracting a model section binary image at the designated height according to the slice position, gradually searching along the edges of the inner contour and the outer contour, extracting a contour curve, and further obtaining a printed slice result.
Based on the three-dimensional discrete characteristics of the skin structure, the method for calculating the number ratio of projection points of the cross-section profiles at different heights in the X axis and the Y axis according to the distance comprises the following steps:
1) and establishing a Cartesian coordinate system by taking the slicing direction as a Z axis and the centroid of the bottom surface of the model as an origin.
2) And calculating the number n of the slices as H/H and the sampling interval d according to the height H of the model and the thickness H of the slices.
3) And sorting and numbering the triangular patches in the STL file according to the maximum value of the Z coordinate in each triangular patch, and deleting the patches which are not intersected with the tangent plane.
4) And deleting the patches with the same number as the triangular patches at the previous layer in the current layer from the nth layer until the 1 st layer is ended.
5) And calculating the intersection point of the 1 st layer of triangular patch and the tangent plane according to the formula (1) to obtain a series of small line segment sets which are arranged in disorder.
6) And projecting the intersection points along the X or Y direction, and taking the ratio of the number of coordinate points in the sampling interval as the gradient of the internal filling structure at the current height.
When a filling model with gradient is obtained, the gradient value is used as the x value or y value of the fractal function to perform coordinate transformation on the TMPS structure
Figure BDA0003384305230000031
The method comprises the following steps of transforming the regular TMPS coordinates in each layer of the fractal function along the gradient of the surface of the skin, specifically:
Figure BDA0003384305230000032
xi，yi，zithe original coordinates of the ith layer are shown, x, y and z are transformed coordinates, and n is the total number of layers.
Each layer NjPosition of the intersecting triangular patch:
Figure BDA0003384305230000033
Figure BDA0003384305230000034
t is the layer thickness, s is the step size, j is 1,2, … n.
The implicit function is:
Figure BDA0003384305230000035
v is the coordinate point of the ith slice, v1And v2Respectively points located on the inner and outer sides of the contour.
The approximate expression of the three-dimensional periodic minimized surface is as follows:
φP＝cos(λ1πx)+cos(λ2πy)+cos(λ3πz)-C＝0
φD＝cos(λ1πx)cos(λ2πy)cos(λ3πz)-sin(λ1πx)sin(λ2πy)sin(λ3πz)-C＝0
φG＝sin(λ1πx)cos(λ1πx)+sin(λ2πy)cos(λ2πy)+sin(λ3πz)cos(λ3πz)-C＝0
wherein the content of the first and second substances,
Figure BDA0003384305230000041
and
Figure BDA0003384305230000042
representing three different types of TPMS, C determines the relative density of the lattice structure, with TPMS biased inward when C is positive and biased outward when C is negative.
And generating the three-dimensional periodic minimized curved surface by adopting an MC algorithm or an MT algorithm.
The invention also provides a gradient void structure modeling slicing system based on the three-dimensional model section characteristic change, which comprises a skin structure building module, a filling model building module with gradient, a model surface patch reconstruction and deletion module and a slicing module
The skin structure building module is used for building a skin structure based on the three-dimensional scanning data of the target skeleton;
the internal filling structure gradient calculation module is used for calculating the projection point number ratio of the cross section outlines at different heights in the X axis and the Y axis according to the distance based on the three-dimensional discrete characteristics of the skin structure, and taking the projection point number ratio in the sampling distance as the internal filling structure gradient at the current height; constructing a filling model of a target skeleton by adopting a three-dimensional periodic minimized curved surface based on an interpolation function of gradient change, and transforming the regular TMPS coordinates in each layer along the gradient of the skin surface to obtain a filling model with the gradient;
the model surface patch reconstruction and deletion module is used for reconstructing and dynamically deleting the filling model with the gradient, and dividing the macroscopic lattice model into n layers to obtain the position of a triangular surface patch of each layer relative to the thickness of the t layer and the step length s; when the layer thickness t is larger than the sampling interval, obtaining a triangular patch set which is completely intersected with the tangent plane according to the formula; when the layer thickness t is smaller than the sampling interval, calculating a primary position relation from the implicit function to obtain a triangular patch set which is completely intersected with the tangent plane;
and the slicing module extracts the model section binary image at the designated height according to the slicing position, gradually searches along the edges of the inner contour and the outer contour, extracts a contour curve and further obtains a printed slicing result.
In addition, a computer device may be provided, which includes a processor and a memory, the memory is used for storing a computer executable program, the processor reads the computer executable program from the memory and executes the computer executable program, and the processor can implement the gradient void structure modeling slicing method based on three-dimensional cross-sectional features according to the present invention when executing the computer executable program.
A computer-readable storage medium, in which a computer program is stored, which, when being executed by a processor, is capable of implementing the gradient void structure modeling slicing method based on three-dimensional cross-sectional features according to the present invention.
Compared with the prior art, the invention has at least the following beneficial effects: constructing a filling model of a target skeleton based on a three-dimensional periodic minimized curved surface, constructing a gradient filling model at the same time, reconstructing and dynamically deleting the filling model with the gradient, establishing a gradient TPMS filling model according to the curvature or strength change of the skeleton model outline, and reducing the weight and simultaneously according to the pores; the calculation efficiency is greatly improved, and the method is an efficient data processing method suitable for the TPMS structure.
Drawings
FIG. 1 is a model of a uniform thickness, minimum period surface unit cell.
Fig. 2 is a corresponding curve between the number of triangular patches and the sampling interval of the MC algorithm.
Fig. 3 is a screening structure for an effective triangular patch.
FIG. 4 is a filling model of a gradient lattice structure.
FIG. 5 is a profile curve extracted by the method of the present invention.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings.
The density degree of the triangular surface patch distribution is adopted to replace the relative change of the curvature of the skin, so as to adjust the gradient of the internal filling structure:
1) establishing a Cartesian coordinate system by taking the slicing direction as a Z axis and the centroid of the bottom surface of the model as an origin;
2) calculating the number n of slices as H/H and the sampling interval d according to the height H of the model and the thickness H of the slices;
3) sorting and numbering the triangular patches in the STL file according to the size sequence of the maximum value of the Z coordinate in each triangular patch, and deleting patches which are not intersected with the tangent plane;
4) deleting the patches with the same number as the triangular patches in the previous layer in the current layer from the nth layer until the 1 st layer is ended;
5) calculating the intersection point of the 1 st layer of triangular patch and the tangent plane according to the formula (1) to obtain a series of small line segment sets which are arranged in disorder;
6) and projecting the intersection points along the X or Y direction, and taking the ratio of the number of projection points in the sampling interval as the gradient of the internal filling structure at the current height. (ii) a
7) Carrying out coordinate transformation on the TMPS structure by taking the gradient value as the x value or the y value of the fractal function;
Figure BDA0003384305230000061
the general expression for a periodic surface can be expressed as:
Figure BDA0003384305230000062
wherein r ═ x, y, z]Is a position vector, AiIs the amplitude, hi＝[am,bm,cm]Is the basis vector of the reciprocal space and,
Figure BDA0003384305230000066
is the phase, f (r) is the spatial shape of the lattice structure, and since the precise values of TPMS described using the eneper-Weierstrass method are difficult to estimate, periodic surfaces are often used in engineering practice to approximate:
Figure BDA0003384305230000063
wherein the content of the first and second substances,
Figure BDA0003384305230000064
and
Figure BDA0003384305230000065
representing three different types of TPMS, C determines the relative density of the lattice structure, with TPMS biased inward when C is positive and biased outward when C is negative. As shown in FIG. 1, the red-contoured surface is the result of the inward bias.
The TPMS may be generated using either the MC algorithm or the MT algorithm, which are often used to extract iso-surface data from a three-dimensional data field. According to the characteristic that TPMS is periodically arranged in a three-dimensional space, an 'ambiguous surface' does not exist in the triangular mesh discrete process, so that the MC algorithm is adopted to process the model, and higher calculation efficiency can be obtained.
When the microscopic pores in the tissue engineering scaffold are about 0.7mm, the cell proliferation and diffusion and nutrient substance transmission are facilitated, so that 0.7mm is mostly used as the size of a dot matrix cell in additive printing. As can be seen from fig. 2, the number of the triangular meshes and the size of the voxelized mesh unit are approximately exponentially changed, taking P-type surface as an example, when the mesh unit is 0.02mm, a lattice cell occupies 7.3MB of storage space, and the macroscopic skeleton model will need countless triangular patches to describe, and the processing of the model is extremely time consuming and memory consuming.
The invention provides a discrete reconstruction and dynamic deletion strategy adopting a lattice structure to improve the calculation efficiency. Assuming that the lattice model is reconstructed by using the step length s and the layer thickness t can divide the skeleton model into n layers, the step length s is compared with the step length tOne layer of NjThe positions of the crossed triangular panels are as follows:
Figure BDA0003384305230000071
the position of each layer cannot be continuously changed due to the presence of layer thickness during additive manufacturing. As shown in fig. 3, when the layer thickness t is greater than the sampling interval of the MC algorithm, an invalid patch exists between the two layers, and a set of triangular patches completely intersecting the tangent plane can be obtained according to the formula (3) to reduce the number of invalid calculations; when the layer thickness t is smaller than the sampling interval of the MC algorithm, the same triangular patch set can be repeatedly intersected with the multilayer, so that only one-time position relation needs to be calculated from the implicit function;
and then extracting a model section binary image at a specified height according to the slice position, gradually searching along the edges of the inner contour and the outer contour, and extracting a contour curve, as shown in fig. 5.
In addition, the invention also provides a gradient void structure modeling slicing system based on the three-dimensional model section characteristic change, which comprises a skin structure building module, a filling model building module with gradient, a model surface patch reconstruction and deletion module and a slicing module
The skin structure building module is used for building a skin structure based on the three-dimensional scanning data of the target skeleton;
the internal filling structure gradient calculation module is used for calculating the projection point number ratio of the cross section outlines at different heights in the X axis and the Y axis according to the distance based on the three-dimensional discrete characteristics of the skin structure, and taking the projection point number ratio in the sampling distance as the internal filling structure gradient at the current height; constructing a filling model of a target skeleton by adopting a three-dimensional periodic minimized curved surface based on an interpolation function of gradient change, and transforming the regular TMPS coordinates in each layer along the gradient of the skin surface to obtain a filling model with the gradient;
the model surface patch reconstruction and deletion module is used for reconstructing and dynamically deleting the filling model with the gradient, and dividing the macroscopic lattice model into n layers to obtain the position of a triangular surface patch of each layer relative to the thickness of the t layer and the step length s; when the layer thickness t is larger than the sampling interval, obtaining a triangular patch set which is completely intersected with the tangent plane according to the formula; when the layer thickness t is smaller than the sampling interval, calculating a primary position relation from the implicit function to obtain a triangular patch set which is completely intersected with the tangent plane;
and the slicing module extracts the model section binary image at the designated height according to the slicing position, gradually searches along the edges of the inner contour and the outer contour, extracts a contour curve and further obtains a printed slicing result.
In addition, the invention can also provide a computer device, which comprises a processor and a memory, wherein the memory is used for storing a computer executable program, the processor reads part or all of the computer executable program from the memory and executes the computer executable program, and when the processor executes part or all of the computer executable program, the gradient void structure modeling slicing method based on the three-dimensional cross-sectional feature based on the compressed sensing and the center frequency can be realized.
In another aspect, the present invention provides a computer-readable storage medium, in which a computer program is stored, and when the computer program is executed by a processor, the computer program can implement the gradient void structure modeling slicing method based on three-dimensional cross-sectional features based on compressed sensing and center frequency according to the present invention.
The computer device may be a notebook computer, a desktop computer or a workstation.
The processor may be a Central Processing Unit (CPU), a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), or an off-the-shelf programmable gate array (FPGA).
The memory of the invention can be an internal storage unit of a notebook computer, a desktop computer or a workstation, such as a memory and a hard disk; external memory units such as removable hard disks, flash memory cards may also be used.
Computer-readable storage media may include computer storage media and communication media. Computer storage media includes volatile and nonvolatile, removable and non-removable media implemented in any method or technology for storage of information such as computer readable instructions, data structures, program modules or other data. The computer-readable storage medium may include: a Read Only Memory (ROM), a Random Access Memory (RAM), a Solid State Drive (SSD), or an optical disc. The Random Access Memory may include a resistive Random Access Memory (ReRAM) and a Dynamic Random Access Memory (DRAM).

Claims (10)

1. The gradient void structure modeling slicing method based on the three-dimensional section characteristics is characterized by comprising the following steps of:
obtaining a skin structure based on the target skeleton three-dimensional scanning data;
based on the three-dimensional discrete characteristics of the skin structure, calculating the ratio of the number of projection points of the cross-section outlines at different heights in the X axis and the Y axis according to the distance, and taking the ratio of the number of the projection points in the sampling distance as the gradient of the internal filling structure at the current height; constructing a filling model of a target skeleton by adopting a three-dimensional periodic minimized curved surface based on an interpolation function of gradient change, and transforming the regular TMPS coordinates in each layer along the gradient of the skin surface to obtain a filling model with the gradient;
reconstructing and dynamically deleting the filling model with the gradient, and dividing the macroscopic lattice model into n layers to obtain the position of a triangular patch of each layer relative to the thickness of the t layer and the step length s; when the layer thickness t is larger than the sampling interval, obtaining a triangular patch set which is completely intersected with the tangent plane according to the formula; when the layer thickness t is smaller than the sampling interval, calculating a primary position relation from the implicit function to obtain a triangular patch set which is completely intersected with the tangent plane;
and extracting a model section binary image at the designated height according to the slice position, gradually searching along the edges of the inner contour and the outer contour, extracting a contour curve, and further obtaining a printed slice result.
2. The gradient void structure modeling slicing method based on the three-dimensional sectional feature of claim 1, wherein the step of calculating the projection point number ratio of the sectional profile at different heights in the X axis and the Y axis according to the distance based on the three-dimensional discrete feature of the skin structure comprises the following steps:
1) establishing a Cartesian coordinate system by taking the slicing direction as a Z axis and the centroid of the bottom surface of the model as an origin;
2) calculating the number n of slices as H/H and the sampling interval d according to the height H of the model and the thickness H of the slices;
3) sorting and numbering the triangular patches in the STL file according to the maximum Z coordinate value in each triangular patch, and deleting patches which are not intersected with the tangent plane;
4) deleting the patches with the same number as the triangular patches in the previous layer in the current layer from the nth layer until the 1 st layer is ended;
5) calculating the intersection point of the 1 st layer of triangular patch and the tangent plane to obtain a series of small line segment sets which are arranged in disorder;
6) and projecting the intersection points along the X or Y direction, and taking the ratio of the number of coordinate points in the sampling interval as the gradient of the internal filling structure at the current height.
3. The gradient void structure modeling slicing method based on three-dimensional cross sectional features as claimed in claim 1, wherein, when the filling model with gradient is obtained, the TMPS structure is subjected to coordinate transformation with the gradient value as x value or y value of fractal function
Figure RE-FDA0003514637790000021
The method comprises the following steps of transforming the regular TMPS coordinates in each layer of the fractal function along the gradient of the surface of the skin, specifically:
Figure RE-FDA0003514637790000022
xi，yi，zithe original coordinates of the ith layer are shown, x, y and z are transformed coordinates, and n is the total number of layers.
4. The method for modeling slicing of gradient void structure based on three-dimensional cross sectional feature of claim 1, wherein each layer N is a layer NjPosition of the intersecting triangular patch:
Figure RE-FDA0003514637790000023
Figure RE-FDA0003514637790000024
t is the layer thickness, s is the step size, j is 1,2, … n.
5. The method for modeling a slice of a gradient void structure based on three-dimensional cross-sectional features of claim 1, wherein the implicit function is:
Figure RE-FDA0003514637790000025
v is the coordinate point of the ith slice, v1And v2Respectively points located on the inner and outer sides of the contour.
6. The method for modeling and slicing a gradient void structure based on three-dimensional sectional features according to claim 1, wherein the approximate expression of the three-dimensional periodic minimized surface is:
φP＝cos(λ1πx)+cos(λ2πy)+cos(λ3πz)-C＝0
φD＝cos(λ1πx)cos(λ2πy)cos(λ3πz)-sin(λ1πx)
sin(λ2πy)sin(λ3πz)-C＝0
φG＝sin(λ1πx)cos(λ1πx)+sin(λ2πy)cos(λ2πy)+sin(λ3πz)cos(λ3πz)-C＝0
wherein the content of the first and second substances,
Figure RE-FDA0003514637790000031
and
Figure RE-FDA0003514637790000032
representing three different types of TPMS, C determines the relative density of the lattice structure, with TPMS biased inward when C is positive and biased outward when C is negative.
7. The method for modeling and slicing a gradient void structure based on three-dimensional cross sectional features according to claim 1, wherein a three-dimensional periodic minimized curved surface is generated by using an MC algorithm or an MT algorithm.
8. The gradient void structure modeling slicing system based on the three-dimensional model section characteristic change is characterized by comprising a skin structure building module, a filling model building module with gradient, a model surface patch reconstructing and deleting module and a slicing module;
the skin structure building module is used for building a skin structure based on the three-dimensional scanning data of the target skeleton;
the internal filling structure gradient calculation module is used for calculating the projection point number ratio of the cross section outlines at different heights in the X axis and the Y axis according to the distance based on the three-dimensional discrete characteristics of the skin structure, and taking the projection point number ratio in the sampling distance as the internal filling structure gradient at the current height; constructing a filling model of a target skeleton by adopting a three-dimensional periodic minimized curved surface based on an interpolation function of gradient change, and transforming the regular TMPS coordinates in each layer along the gradient of the skin surface to obtain a filling model with the gradient;
the model surface patch reconstruction and deletion module is used for reconstructing and dynamically deleting the filling model with the gradient, and dividing the macroscopic lattice model into n layers to obtain the position of a triangular surface patch of each layer relative to the thickness of the t layer and the step length s; when the layer thickness t is larger than the sampling interval, obtaining a triangular patch set which is completely intersected with the tangent plane according to the formula; when the layer thickness t is smaller than the sampling interval, calculating a primary position relation from the implicit function to obtain a triangular patch set which is completely intersected with the tangent plane;
and the slicing module extracts the model section binary image at the designated height according to the slicing position, gradually searches along the edges of the inner contour and the outer contour, extracts a contour curve and further obtains a printed slicing result.
9. A computer device, characterized by comprising a processor and a memory, wherein the memory is used for storing a computer executable program, the processor reads the computer executable program from the memory and executes the computer executable program, and the processor can realize the gradient void structure modeling slicing method based on the three-dimensional cross-sectional feature according to any one of claims 1-7 when executing the computer executable program.
10. A computer-readable storage medium, wherein a computer program is stored in the computer-readable storage medium, and when the computer program is executed by a processor, the method for modeling and slicing a gradient void structure based on three-dimensional cross-sectional features according to any one of claims 1 to 7 is implemented.
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CN116100808A (en) * 2023-01-05 2023-05-12 南京航空航天大学 Space curved surface printing path planning method based on dynamic contour bias dispersion

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