KR102124915B1 - Atypical structure modeling apparatus and method applicable to 3d printer - Google Patents

Abstract

The present invention discloses an atypical structure modeling apparatus and method applicable to 3D printers. According to an embodiment of the present invention, an input step of receiving 2D data having cross-section information of a specific object, and forming 3D data using the 2D data to form 3D data having 3D shape information of the specific object Step, a coordinate extraction step of obtaining coordinate data from three-dimensional data having three-dimensional shape information of the specific object, a volume data forming step of forming volume data of the specific object using the coordinate data, and the volume data It provides an atypical structure modeling method applicable to a 3D printer including a step of forming a structure to form an atypical structure.

Description

Atypical structural modeling device and method applicable to 3D printers {ATYPICAL STRUCTURE MODELING APPARATUS AND METHOD APPLICABLE TO 3D PRINTER}

The present invention relates to an atypical structural modeling apparatus and method applicable to a 3D printer, and more particularly, to an atypical structural modeling apparatus and method for generating an object having an atypical structure similar to a real biological tissue with a 3D printer. .

The 3D printer is a device that creates a three-dimensional three-dimensional article according to the input design. 3D printers have been used for prototyping for shape identification, but in recent years, they have been used as a means to produce practically used parts such as automobile parts at low manpower and at low cost.

Such a 3D printer converts a three-dimensional shape modeled through software that operates a three-dimensional drawing such as a CAD into slice data that is divided into a plurality of thin cross-section layers, and then uses this to form and stack a plate-shaped sheet to complete the sculpture.

Particularly in the field of bio-industry, there is an ever-increasing attempt to produce a sculpture capable of replacing biological tissue using a 3D printer. Existing biological tissue replacement sculptures have a problem in that the manufacturing cost is expensive, but when a 3D printer is used, it is possible to produce biological tissue replacement sculptures at a low cost, thereby solving the above-described problems, and accordingly, means for producing biological tissue substitutes. As such, 3D printers are in the spotlight.

In this regard, in the case of forming a bio-tissue replacement sculpture using a 3D printer in the related art, first, as shown in Non-Patent Document 1, the cross-sectional information of a specific object is merged to create a three-dimensional shape, and then the three-dimensional shape is similar to the biological tissue In order to have the, the modeled structure was modeled on a three-dimensional shape using software, and then the modeled file was printed through a 3D printer.

However, the structured structure alone cannot replace the role of a biological tissue having an unstructured structure, so that the biological tissue replacement structure formed in the above manner is implanted in a damaged area to replace a damaged part of a human body, such as a bone or organ. When there was a problem that the bio-tissue replacement sculpture does not function properly.

Non-Patent Document 1: Three-dimensional volume reconstruction from slice data using phase-field models (Yibao Li, Jaemin Shin, Yongho Choi, Junseok Kim, Computer Vision and Image Understanding Volume 137, 　August 2015, Pages 115-124)

The present invention has been devised to solve the above-mentioned problems, and the technical problem to be achieved by the present invention is an atypical structure modeling device applicable to a 3D printer that enables a biological tissue replacement sculpture formed using a 3D printer to have an atypical structure. And to provide a method.

The technical problem to be achieved by the present invention is not limited to the technical problems mentioned above, and other technical problems not mentioned can be clearly understood by a person having ordinary knowledge in the technical field to which the present invention belongs from the following description. There will be.

In order to solve the above technical problem, an embodiment of the present invention includes an input step of receiving two-dimensional data having cross-section information of a specific object, and three-dimensional data having three-dimensional shape information of the specific object using the two-dimensional data 3D data forming step of forming, Coordinate extraction step of obtaining coordinate data from 3D data having stereoscopic shape information of the specific object, Volume data forming step of forming volume data of the specific object using the coordinate data And, it provides an atypical structure modeling method applicable to a 3D printer including a structure forming step of forming an atypical structure in the volume data.

In one embodiment of the present invention, the forming of the 3D data further includes extracting 3D data of a portion of the specific object from among the 3D data, and having 3D shape information of the specific object. The dimensional data may be 3D data for a portion of the specific object.

In one embodiment of the present invention, the coordinate extraction step may further include forming additional coordinate data in the coordinate data obtained using a triangular segmentation technique.

In one embodiment of the present invention, the step of forming the structure further includes forming an amorphous structure different from the amorphous structure in the volume data by using a size and a change direction of a pole included in the amorphous structure. It can contain.

In one embodiment of the present invention, the volume data forming step further comprises compressing the volume data, and the structure forming step may further include restoring the compressed volume data to a state before compression. have.

In one embodiment of the present invention, the step of compressing the volume data may be a step of compressing the volume data by a predetermined ratio in the Z-axis direction.

In one embodiment of the present invention, the volume data having the atypical structure has a hollow region of a hole shape or a tubular shape, and the step of forming the structure is a predetermined thickness at a predetermined position in the hollow region of the hole shape or a tubular shape It may further include the step of forming a shell having a shape filling the hollow region.

In one embodiment of the present invention, the volume data having the atypical structure has a hangover area formed in a lower vertical direction, and the structure forming step may further include removing the hangover area.

In one embodiment of the present invention, in the structure forming step, a start region and an end region of an atypical structure are set in the volume data, and from the start region to the end region using Equations (1) and (2) below. It may be a step of forming the atypical structure in the volume data so that the size of the atypical structure is increased or the size of the atypical structure is decreased.

수식 (1)

Equation (1)

수식 (2)

Equation (2)

,

는 변수인 x와 t 두 가지 성분의 혼합물의 질량 농도,

은

또는

와 같이 표현할 수 있는 함수,

,

는 양의 상수, x와 y는 각각 x축과 y축의 변수를 나타낸다.In the above formulas (1) and (2)

,

Is the mass concentration of the mixture of the two components x and t,

silver

or

Functions that can be expressed as,

,

Is a positive constant, and x and y represent variables on the x and y axes, respectively.

In one embodiment of the present invention, the specific object may be bone or skin.

Further, in order to solve the above technical problem, another embodiment of the present invention executes a program for storing a program for an atypical structural modeling method applicable to a 3D printer, and a program for an atypical structural modeling method applicable to the 3D printer. By doing so, three-dimensional data having three-dimensional shape information of the specific object is formed from two-dimensional data having cross-sectional information of the specific object, coordinate data is obtained from three-dimensional data having three-dimensional shape information of the specific object, and the coordinates are obtained. It provides an atypical structure modeling apparatus applicable to a 3D printer including a processor that forms volume data of the specific object using data and forms an atypical structure on the volume data.

In addition, another embodiment of the present invention to solve the above technical problem provides a computer readable recording medium in which a program for implementing an atypical structure modeling method applicable to a 3D printer according to an embodiment of the present invention is recorded do.

According to the present invention, a biological tissue replacement sculpture having an atypical structure can be generated using a 3D printer, and the biological tissue replacement sculpture can be transplanted into human tissue to exert the same function as actual human tissue.

It should be understood that the effects of the present invention are not limited to the above-described effects, and include all effects that can be deduced from the configuration of the invention described in the detailed description or claims of the present invention.

1 is a flowchart illustrating a procedure of an atypical structure modeling method applicable to a 3D printer according to an embodiment of the present invention.
2 is a diagram illustrating a detailed process of a 3D data forming step according to an embodiment of the present invention.
3 and 4 are views illustrating a result formed according to a detailed process of the 3D data forming step illustrated in FIG. 2.
5 is a view showing a detailed process of the coordinate extraction step according to an embodiment of the present invention.
FIG. 6 is a diagram illustrating a result formed according to the coordinate extraction step illustrated in FIG. 5.
7 is a diagram illustrating a triangular segmentation technique used in a coordinate extraction step according to an embodiment of the present invention.
8 is a view showing a detailed process of the volume data forming step according to an embodiment of the present invention.
9 and 10 are views illustrating a result formed according to a detailed process of the volume data forming step shown in FIG. 8.
11 is a view showing a detailed process of the structure forming step according to an embodiment of the present invention.
12 to 16 are views illustrating a result formed according to a detailed process of the structure forming step shown in FIG. 11.

Hereinafter, the present invention will be described in detail with reference to the accompanying drawings. However, the present invention may be implemented in various different forms, and thus is not limited to the embodiments described herein. In addition, the accompanying drawings are only for easy understanding of the embodiments disclosed in the present specification, and the technical spirit disclosed in the specification is not limited by the accompanying drawings, and all modifications included in the spirit and technical scope of the present invention It should be understood to include water, equivalents or substitutes. In addition, in order to clearly describe the present invention in the drawings, parts irrelevant to the description are omitted, and the size, shape, and shape of each component shown in the drawings can be variously modified, and the same/similar parts of the entire specification The same/similar reference numerals are attached.

The suffixes "modules" and "parts" for components used in the following description are given or mixed only considering the ease of writing the specification, and do not have meanings or roles distinguished from each other in themselves. In addition, in describing the embodiments disclosed in this specification, detailed descriptions of related well-known technologies are omitted when it is determined that the gist of the embodiments disclosed herein may obscure the subject matter.

Throughout the specification, when a part is said to be "connected (connected, contacted, or joined)" with another part, this means not only when it is "directly connected (connected, contacted, or joined)", but also other members in the middle. Also included is a case in which they are "indirectly connected (connected, contacted, or combined)" between them. Also, when a part is said to "include (equipment or provision)" a component, it does not exclude other components unless specifically stated to "include (equipment or provision)" other components. It means you can.

The terms used herein are only used to describe specific embodiments, and are not intended to limit the present invention. Singular expressions include plural expressions, unless the context clearly indicates otherwise, and distributed components may be implemented in a combined form unless otherwise specified. In this specification, terms such as “include” or “have” are intended to indicate that a feature, number, step, operation, component, part, or combination thereof described in the specification exists, and that one or more other features are present. It should be understood that the existence or addition possibilities of fields or numbers, steps, operations, components, parts or combinations thereof are not excluded in advance.

Further, terms including ordinal numbers such as first and second used in the present specification may be used to describe various components, but the components should not be limited by the terms. The terms are used only for the purpose of distinguishing one component from other components. For example, without departing from the scope of the present invention, the first component may be referred to as the second component, and similarly, the second component may also be referred to as the first component.

1 is a flowchart illustrating a procedure of an atypical structure modeling method (hereinafter, referred to as “atypical structure modeling method”) applicable to a 3D printer according to an embodiment of the present invention.

Referring to FIG. 1, an atypical structure modeling method includes an input step (S110), a 3D data forming step (S120), a coordinate extraction step (S130), a volume data forming step (S140), and a structure forming step (S150). .

First, the input step S110 refers to a process of receiving two-dimensional data having cross-section information of a specific object. Here, the specific object may be a bone or skin of a human or animal, but is not limited thereto, and should be interpreted as including all sculptures that can be generated through 3D printing.

The 3D data forming step (S120) refers to a process of forming 3D data having 3D shape information of the specific object using the 2D data acquired through the input step (S120 ). At this time, the two-dimensional data obtained through the input step (S120) has the cross-section information of a specific object. In step S120, three-dimensional data having three-dimensional shape information of a specific object by merging one or more cross-section information of the specific object. Can form. The method of merging may use an algorithm formed based on Allen-Cahn and Cahn-Hilliard equations disclosed in Non-Patent Document 1, but is not limited thereto.

The coordinate extraction step S130 refers to a process of obtaining coordinate data from 3D data having stereoscopic shape information of a specific object obtained through the 3D data forming step S130.

Coordinate data obtained in the coordinate extraction step (S130), for example, 3D data having three-dimensional shape information of a specific object obtained through the three-dimensional data forming step (S130) is located on the X, Y, Z axis, It may be a sum of a predetermined number of coordinate values to recognize the appearance of the 3D data, but is not limited thereto.

An algorithm using a Lengyel-Epstein model can be used to generate coordinate data from 3D data, but is not limited thereto.

The volume data forming step (S140) means a process of forming volume data of the specific object using the coordinate data obtained through the coordinate extraction step (S130 ). Here, the volume data is different from the above-described three-dimensional data, and it can be understood that the three-dimensional data itself is a three-dimensional shape, but the volume data can be recognized through the sum of the coordinate values obtained in the coordinate extraction step (S130). It can be understood as a shape.

Finally, the structure forming step (S150) refers to a process of forming an atypical structure in the volume data generated according to the volume data forming step (S140). Here, the amorphous structure may be interpreted as a meaning opposite to a conventional regular structure having a uniform pattern or structure, or may be referred to as an amorphous porous structure.

In the step of forming the structure (S150), specific formulas may be used to generate an atypical structure in the volume data, which will be described later.

2 is a diagram illustrating a detailed process of the 3D data forming step (S120), and FIGS. 3 and 4 are views illustrating a result formed according to the detailed process of the 3D data forming step (S120). .

Referring to FIG. 2, the 3D data forming step (s120) uses the 2D data obtained through the input step (S120) to form 3D data having 3D shape information of the specific object (S121). , Extracting 3D data on a portion of the specific object from the 3D data (S122 ).

Referring to FIG. 3, step S121 is a process of acquiring a two-dimensional image (cross-sectional information) generated by using MRI or CT through the input step S110 and merging it to form three-dimensional data.

In addition, step S122 means a step of extracting 3D data for a portion of the specific object desired by the user from the stereoscopic image or stereoscopic information included in the 3D data.

For example, referring to FIG. 4, a process of extracting only some 3D images necessary for bone, skin, etc. from the 3D image formed through step S121 may be performed in step S122.

5 is a view showing a detailed process of the coordinate extraction step (S130), Figure 6 is a view showing to explain the result formed according to the coordinate extraction step (S130), Figure 7 is a coordinate extraction step (S130) It is a view showing to explain the triangular segmentation technique used in.

Coordinate extraction step (S130) is a step of obtaining coordinate data from 3D data having three-dimensional shape information of the specific object obtained through 3D data forming step (S130) (S131) and using a triangulation method in S131 The method may further include forming additional coordinate data (S132) on the obtained coordinate data.

Referring to FIG. 6, the picture on the left side of FIG. 6 refers to 3D data having stereoscopic shape information of the specific object obtained through the 3D data forming step (S130 ), and the picture on the right side is 3 Refers to coordinate data formed by extracting coordinate information from dimensional data. Such coordinate data may be referred to as vertex data, and description of the coordinate data will be omitted because it has been described above.

In step S131, coordinate data that is a sum of coordinate values located on the right side may be obtained from data in the form of a three-dimensional shape located on the left side shown in FIG. 6. In addition, referring to FIG. 7, in step S132, new coordinate data may be formed by adding coordinate information formed by using a triangulation method to the coordinate data formed in step S131.

As illustrated in FIG. 7, the triangle segmentation technique refers to a method of forming new vertex coordinates generated by a vertical line or the like, which is lowered to a specific position from the coordinates of each vertex of the triangle. In addition, additional coordinate values may be set in the existing coordinate data in various ways, and volume data similar to the existing 3D data may be formed by setting the additional coordinate values.

8 is a diagram illustrating a detailed process of the volume data forming step (S140), and FIGS. 9 and 10 are views illustrating a result formed according to the detailed process of the volume data forming step (S140).

The volume data forming step (S140) is a step of forming volume data of the specific object using the coordinate data obtained through the coordinate extraction step (S130) (S141) and compressing the volume data generated according to the step S141 ( S142).

Referring to FIG. 9, it can be seen that volume data may be formed using the coordinate data obtained through the coordinate extraction step 130 by step S141. In addition, referring to FIG. 10, it can be seen that the volume data generated according to step S141 may be compressed by step S142.

The step of compressing the volume data (S142) may be a step of compressing the volume data according to S141 by a predetermined ratio in the Z-axis direction, but the axis and the compression ratio may be variously implemented and shown in FIG. 10. It is not limited.

The volume data compressed according to S142 may be recovered before compression by the structure forming step (S150), and a description thereof will be given below.

11 is a view showing a detailed process of the structure forming step (S150), and FIGS. 12 to 16 are views illustrating a result formed according to the detailed process of the structure forming step (S150).

The structure forming step (S150) includes forming an atypical structure on the volume data generated according to the volume data forming step (S140) (S151), and the size and change of a pole included in the atypical structure formed according to the S151 step. The method may include forming an atypical structure different from the atypical structure in the volume data using a direction (S152) and restoring the compressed volume data to a state before compression (S153) according to step S142.

The volume data having an irregular structure formed according to the structure forming step (S150) is a hole shape. It may have a hollow region having a pole shape or a tubular shape, and a hangover region formed in a lower vertical direction. Therefore, the structure forming step (S150) is a step (S154) of forming a shell having a predetermined thickness at a predetermined position in a hollow region of the hole shape or the tubular shape and filling the hollow region (S154). The step of removing the region (S155) may be further included.

Specifically, step S151 is a procedure for generating a natural irregular structure as shown in FIG. 12 on the volume data formed according to the volume data forming step (S140).

Step S152 is a step of forming a new atypical structure in the volume data by using the size and direction of change of the hole (or hole) or the hole (pore) included in the atypical structure formed according to step S151, the structure formed according to Figure 13 As shown.

For example, to increase or decrease the size of a hole or a pole included in the atypical structure formed according to step S151, or, as the atypical structure is moved from left to right, right to left, from inside to surface, from surface to inside, When the size of the structure is desired to be increased or decreased, a new atypical structure may be formed in the volume data in consideration of a desired pole or hole size and a change direction. In this case, a specific formula may also be used, which will be described later.

In step S153, a procedure for recovering the compressed volume data to a state before compression is performed according to step S142, as shown in FIG. When the volume data is compressed in the Z-axis direction by the step S142, it can be restored in the Z-axis direction, but is not limited thereto.

On the other hand, if the actual model is printed using a modeling file formed through steps S110 to S150 and implanted in body tissues such as bone, if a hollow region is formed in an undesired location, important components such as blood are used as the hollow region. You can get out.

Therefore, through the step S154, a shell having a predetermined thickness at a predetermined position among hollow regions of the hole shape or the tubular shape included in the volume data and filling the hollow region may be formed to prevent the above problems. have.

In addition, when the actual sculpture is printed using the modeling files formed through the steps S110 to S150, a problem in which a specific position of the sculpture is printed by the hangover area described above may occur.

Therefore, the above problem can be prevented by removing the hangover area in advance in the modeling process of the sculpture through step S155.

In addition to this, as an example of an implementation of the structure forming step (S150), the structure forming step (S150) sets the start area and the end area of the atypical structure in the volume data and uses the predetermined equation to set the end area from the start area. It may be a step of forming the atypical structure in the volume data such that the size of the atypical structure is increased, or the size of the atypical structure is decreased.

Here, the preset formula is a formula for forming an atypical structure in volume data, and may be similar or identical to the specific formula described above. The preset formula and the specific formula described above are not limited to separate formulas, and may take the form of various equations. For example, the following formula can be used.

수식 (1)

Equation (1)

수식 (2)

Equation (2)

(

²는 2차원 도메인을,

³는 3차원 도메인을 나타냄),

는 변수인 x와 t 두 가지 성분의 혼합물의 질량 농도,

로서 자유에너지 함수,

는 양의 상수, x와 y는 각각 x축과 y축의 변수를 나타낸다. In the above formulas (1) and (2)

(

² is a two-dimensional domain,

³ represents a 3D domain),

Is the mass concentration of the mixture of the two components x and t,

As a free energy function,

Is a positive constant, and x and y represent variables on the x and y axes, respectively.

M can be defined as a function of concentration or shape coordinates that range from a constant or shape boundary. When M is defined as a function dependent on the shape coordinates of the model to be analyzed according to an embodiment of the present invention, the phase separation time of the mixture has an effect of defining different values according to positions, so that the pole has directionality. It is possible to change the size and maintain a constant porosity for various shapes. The following equation is an example of defining M depending on the shape of the model. However, the following equations (3) and (4) are only examples of equations expressing M, and various equations suitable for a target object shape and an application purpose can be made and applied to M. That is, the above-described M is formed as a function of the space-dependent fluidity change and can be applied to the present invention, but is not necessarily so.

수식 (3)

Equation (3)

수식 (4)

Equation (4)

When applying the above equation (3) or equation (4) to various 3D shapes, the size of the poles in the x, y, and z-axis directions can be changed by adjusting the values of a, b, n, m, and C. It is possible to adjust the size change rate and amount of.

In other words, according to one embodiment of the present invention, by applying the Cahn-Hilliard equation having the above generalized mobility for a complex shape, it is possible to model an irregular scaffold so that the poles are distributed in a desired size.

The formulas (1) and (2) can be referred to as the Cahn-Hiliard equation, and the Cahn-Hilliard equation is a mathematical modeling of the phase separation of two types of mixtures over time. As the size of the above-mentioned pole (Pore) increases. In this specification, the modified Cahn-Hilliard algorithm is applied to the volume data of a complex shape so that the elapsed time of phase separation can be adjusted differently according to the shape of the space, and the size of the atypical pole can be changed to a desired shape.

For example, according to various embodiments of the present invention, first, a space of a hexahedron is created so that the volume information of the sculpture is included, and this is divided into equally spaced meshes to discriminate data. Subsequently, the outside of the sculpture volume information is modeled as a solid form without a flow field, and the flow in the inner region is reconstructed by a combination of several boundary conditions (top, bottom, outer, inner) to separate the phase as a function of shape and time of the inner region. By modeling such that is changed, according to various embodiments of the present invention, the size of a pole may be changed with direction in accordance with the shape of a sculpture.

Unlike one embodiment of the present invention described so far, as another embodiment of the present invention, a memory in which a program for an atypical structure modeling method applicable to a 3D printer is stored, and an atypical structure modeling method applicable to the 3D printer By executing the program, three-dimensional data having three-dimensional shape information of the specific object is formed from two-dimensional data having cross-sectional information of the specific object, and coordinate data is obtained from three-dimensional data having three-dimensional shape information of the specific object, , It is possible to provide an atypical structure modeling apparatus applicable to a 3D printer including a processor that forms volume data of the specific object using the coordinate data and forms an atypical structure in the volume data.

In addition, as another embodiment of the present invention, a computer-readable recording medium in which a program for implementing an atypical structural modeling method applicable to a 3D printer according to an embodiment of the present invention is recorded may be provided.

According to various embodiments of the present invention described so far, a biological tissue replacement sculpture having an atypical structure may be generated using a 3D printer, and the biological tissue replacement sculpture may be implanted into human tissue to exert the same function as actual human tissue. Can be.

The above description of the present invention is for illustrative purposes, and a person having ordinary knowledge in the technical field to which the present invention pertains can understand that it can be easily modified to other specific forms without changing the technical spirit or essential features of the present invention. will be. Therefore, it should be understood that the embodiments described above are illustrative in all respects and not restrictive. The scope of the present invention is indicated by the following claims, and all modifications or variations derived from the meaning and scope of the claims and their equivalent concepts should be interpreted to be included in the scope of the present invention.

Claims (12)

An input step of receiving two-dimensional data having cross-sectional information of biological tissue;
A three-dimensional data forming step of forming three-dimensional data having three-dimensional shape information of the biological tissue using the two-dimensional data;
A coordinate extraction step of obtaining coordinate data from three-dimensional data having three-dimensional shape information of the biological tissue;
A volume data forming step of forming volume data of the biological tissue using the coordinate data; And
Including the structure forming step of forming an amorphous structure having a hole-shaped or tubular hollow region in the volume data;
The structure forming step is a step of forming an amorphous structure different from the amorphous structure in the volume data by using a size and a change direction of a pole included in the amorphous structure in the volume data. Structural modeling method. According to claim 1,
The forming of the 3D data further includes extracting 3D data of a portion of the biological tissue from among the 3D data,
The 3D data having stereoscopic shape information of the biological tissue is 3D data for a part of the biological tissue. According to claim 1,
The coordinate extraction step further comprises the step of forming additional coordinate data on the coordinate data obtained by using a triangular segmentation technique, an atypical structure modeling method applicable to a 3D printer.
delete According to claim 1,
The step of forming the volume data further includes compressing the volume data,
The structure forming step further comprises the step of restoring the compressed volume data to a state before compression, wherein the atypical structure modeling method applicable to a 3D printer.
The method of claim 5,
The step of compressing the volume data is a step of compressing the volume data by a predetermined ratio in the Z-axis direction. An atypical structure modeling method applicable to a 3D printer.
According to claim 1,
The step of forming the structure may further include forming a shell having a predetermined thickness at a predetermined position among the hollow regions of the hole shape or the tubular shape and filling the hollow region, wherein the shell is shaped to be applicable to a 3D printer. Structural modeling method.
According to claim 1,
The volume data having the atypical structure has a hangover area formed in a lower vertical direction,
The structure forming step further comprises the step of removing the hangover area, an atypical structure modeling method applicable to a 3D printer.
According to claim 1,
The structure forming step,
Set the start region and the end region of the atypical structure in the volume data, and increase the size of the atypical structure from the start region to the end region using Equations (1) and (2) below, or Atypical structure modeling method applicable to a 3D printer, characterized in that the step of forming the atypical structure in the volume data so that the size of the structure is reduced.

Equation (1)

Equation (2)
In the above formulas (1) and (2)

,

Is the mass concentration of the mixture of the two components x and t,

silver

or

Functions expressed as,

,

Is a positive constant, and x and y represent variables on the x and y axes, respectively.
delete A memory in which a program for an atypical structure modeling method applicable to a 3D printer is stored; And
By executing a program for an atypical structural modeling method applicable to a 3D printer, three-dimensional data having three-dimensional shape information of the biological tissue is formed from two-dimensional data having cross-sectional information of the biological tissue, and the three-dimensional shape information of the biological tissue A processor for acquiring coordinate data from 3D data having, forming volume data of the biological tissue using the coordinate data, and forming an irregular structure having a hollow region of a hole shape or a tubular shape in the volume data Including,
The processor, an atypical structure modeling apparatus applicable to a 3D printer, characterized in that an atypical structure different from the atypical structure is formed in the volume data using a size and a change direction of a pole included in the atypical structure .
A computer-readable recording medium in which a program for implementing an atypical structural modeling method applicable to any one of claims 1 to 3 and 5 to 9 is applicable.

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