CN114117595B - Coating area calculation method, device, equipment and readable storage medium - Google Patents

Coating area calculation method, device, equipment and readable storage medium Download PDF

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CN114117595B
CN114117595B CN202111349771.8A CN202111349771A CN114117595B CN 114117595 B CN114117595 B CN 114117595B CN 202111349771 A CN202111349771 A CN 202111349771A CN 114117595 B CN114117595 B CN 114117595B
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area
bim
coating type
dimensional structure
structure model
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CN114117595A (en
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郑亚鹏
杨光武
邹敏勇
徐伟
刘科峰
刘杰
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China Railway Major Bridge Reconnaissance and Design Institute Co Ltd
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China Railway Major Bridge Reconnaissance and Design Institute Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/13Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T15/003D [Three Dimensional] image rendering
    • G06T15/50Lighting effects
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2200/00Indexing scheme for image data processing or generation, in general
    • G06T2200/04Indexing scheme for image data processing or generation, in general involving 3D image data

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  • General Physics & Mathematics (AREA)
  • Computer Hardware Design (AREA)
  • Structural Engineering (AREA)
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  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Evolutionary Computation (AREA)
  • General Engineering & Computer Science (AREA)
  • Coating Apparatus (AREA)
  • Image Generation (AREA)

Abstract

The invention provides a method, a device, equipment and a readable storage medium for calculating a coating area. The method comprises the following steps: building a BIM three-dimensional structure model of a structure to be calculated, wherein the material of the BIM three-dimensional structure model is a diffuse reflection material; placing the BIM three-dimensional structure model in an illumination scene, wherein the outer surface of the BIM three-dimensional structure model in the illumination scene is irradiated by a scattering light source; reading the illumination intensity of a scattering light source on each surface of the BIM three-dimensional structure model; and calculating to obtain a first coating type area, a second coating type area and a third coating type area of the BIM three-dimensional structure model according to the illumination intensity. According to the invention, the coating type of the structure body is calculated after judging which coating type belongs according to the illumination intensity on each surface of the structure body, so that the method is universal and simple, and the calculation accuracy and the labor efficiency are improved when the coating area is calculated.

Description

Coating area calculation method, device, equipment and readable storage medium
Technical Field
The present invention relates to the field of computer aided design of building and bridge steel structures, and in particular, to a method, apparatus, device and readable storage medium for calculating a painting area.
Background
In the technical field of building and bridge construction, steel structures are frequently used in the form of structures. Since the steel structure is composed of steel plates or section steel, and the steel is easily rusted, the surface of the steel structure is generally galvanized or coated, and requires regular maintenance. The coating of the steel structure is generally classified into three coating types, i.e., inner surface area coating, outer surface area coating and semi-sealing area coating, according to the contact condition between the part and the outside.
When designing a steel structure, a method of manual judgment and calculation is generally adopted. And manually judging which coating type each steel plate or steel section belongs to, then adding the coating areas of the steel plates or steel sections of the same coating type, and when the coating areas are calculated, the areas of the connecting positions of the steel plates or steel sections and the areas of the inner surfaces of the upper holes of the steel plates or steel sections are easily omitted.
Disclosure of Invention
The invention mainly aims to provide a method, a device and equipment for calculating a coating area and a readable storage medium, and aims to solve the problems of low labor efficiency and low calculation accuracy when calculating the coating area in the prior art.
In a first aspect, the present invention provides a method for calculating a coating area, including the steps of:
building a BIM three-dimensional structure model of a structure to be calculated, wherein the material of the BIM three-dimensional structure model is a diffuse reflection material;
Placing the BIM three-dimensional structure model in an illumination scene, wherein the outer surface of the BIM three-dimensional structure model in the illumination scene is irradiated by a scattering light source;
reading the illumination intensity of a scattering light source on each surface of the BIM three-dimensional structure model;
And calculating to obtain a first coating type area, a second coating type area and a third coating type area of the BIM three-dimensional structure model according to the illumination intensity.
Optionally, the step of calculating the first coating type area, the second coating type area and the third coating type area of the BIM three-dimensional structure model according to the illumination intensity includes:
Calculating the sum of areas of the surfaces with zero illumination intensity to obtain the area of the first coating type;
calculating the sum of areas of the surfaces with the illumination intensity larger than the threshold value to obtain the area of the second coating type;
And calculating the sum of areas of the surfaces with the illumination intensities smaller than or equal to the threshold value and larger than zero to obtain the area of the third coating type.
Optionally, after the step of calculating the first coating type area, the second coating type area and the third coating type area of the BIM three-dimensional structure model according to the illumination intensity, the method further includes:
The required amount of the coating material is determined according to the first coating type area, the second coating type area and the third coating type area.
Optionally, a scattering light source is arranged in the illumination scene, and the BIM three-dimensional structure model rotates at a constant speed in the illumination scene.
Optionally, a plurality of scattering light sources are arranged in the illumination scene, and the plurality of scattering light sources form an enclosure for the BIM three-dimensional structure model.
In a second aspect, the present invention also provides a paint area calculating apparatus, including:
the construction module comprises: the method comprises the steps of establishing a BIM three-dimensional structure model of a structure to be calculated, wherein the material of the BIM three-dimensional structure model is a diffuse reflection material;
And (3) placing a module: the BIM three-dimensional structure model is arranged in an illumination scene, and the outer surface of the BIM three-dimensional structure model in the illumination scene is irradiated by a scattering light source;
And a reading module: the method comprises the steps of reading illumination intensity of a scattering light source on each face of the BIM three-dimensional structure model;
the calculation module: and the first coating type area, the second coating type area and the third coating type area are used for calculating and obtaining the BIM three-dimensional structure model according to the illumination intensity.
Optionally, the computing module is specifically configured to:
Calculating the sum of areas of the surfaces with zero illumination intensity to obtain the area of the first coating type;
calculating the sum of areas of the surfaces with the illumination intensity larger than the threshold value to obtain the area of the second coating type;
And calculating the sum of areas of the surfaces with the illumination intensities smaller than or equal to the threshold value and larger than zero to obtain the area of the third coating type.
Optionally, the computing device for the painting area further comprises a determining module for:
The required amount of the coating material is determined according to the first coating type area, the second coating type area and the third coating type area.
In a third aspect, the present invention also provides a paint area calculating apparatus, including a processor, a memory, and a paint area calculating program stored on the memory and executable by the processor, wherein the paint area calculating program, when executed by the processor, implements the steps of the paint area calculating method as described above.
In a fourth aspect, the present invention also provides a readable storage medium having stored thereon a calculation program of a painting area, wherein the calculation program of the painting area, when executed by a processor, implements the steps of the method of calculating a painting area as described above.
In the method, a BIM three-dimensional structure model of a structure to be calculated is established, wherein the material of the BIM three-dimensional structure model is a diffuse reflection material; placing the BIM three-dimensional structure model in an illumination scene, wherein the outer surface of the BIM three-dimensional structure model in the illumination scene is irradiated by a scattering light source; reading the illumination intensity of a scattering light source on each surface of the BIM three-dimensional structure model; and calculating to obtain a first coating type area, a second coating type area and a third coating type area of the BIM three-dimensional structure model according to the illumination intensity. According to the invention, the manual judgment of which coating type each surface of the structure belongs to is not needed, and the coating type of the structure is calculated, but the coating type of the structure is calculated according to the illumination intensity on each surface of the structure, so that the method is universal and simple, and when the coating area is calculated, the area of the connecting part of the steel plate or the steel section and the area of the inner surface of the upper hole of the steel plate or the steel section are not easy to miss, and the calculation precision and the labor efficiency are improved.
Drawings
FIG. 1 is a schematic hardware configuration of a computing device for painting areas according to an embodiment of the present invention;
FIG. 2 is a flowchart of a first embodiment of a method for calculating a coating area according to the present invention;
FIG. 3 is a schematic diagram of a structure of an embodiment of a method for calculating a coating area according to the present invention;
Fig. 4 is a schematic functional block diagram of a first embodiment of a computing device for a painting area according to the present invention.
The achievement of the objects, functional features and advantages of the present invention will be further described with reference to the accompanying drawings, in conjunction with the embodiments.
Detailed Description
It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
In a first aspect, an embodiment of the present invention provides a computing device for a painting area, where the computing device for a painting area may be a device having a data processing function, such as a personal computer (personal computer, PC), a notebook computer, a server, or the like.
Referring to fig. 1, fig. 1 is a schematic hardware configuration of a computing device for a painting area according to an embodiment of the present invention. In an embodiment of the present invention, the computing device of the painting area may include a processor 1001 (e.g., a Central processing unit ProcessingUnit, CPU), a communication bus 1002, a user interface 1003, a network interface 1004, and a memory 1005. Wherein the communication bus 1002 is used to enable connected communications between these components; the user interface 1003 may include a Display screen (Display), an input unit such as a Keyboard (Keyboard); the network interface 1004 may optionally include a standard wired interface, a wireless interface (e.g., wireless FIdelity WIreless-FICAT interface); the memory 1005 may be a high-speed random access memory (random access memory, RAM) or a stable memory (non-volatile memory), such as a disk memory, and the memory 1005 may alternatively be a storage device independent of the processor 1001. Those skilled in the art will appreciate that the hardware configuration shown in fig. 1 is not limiting of the invention and may include more or fewer components than shown, or may combine certain components, or a different arrangement of components.
With continued reference to fig. 1, an operating system, a network communication module, a user interface module, and a paint area calculation program may be included in the memory 1005, which is one type of computer storage medium in fig. 1. The processor 1001 may call a calculation program of the painting area stored in the memory 1005, and execute the calculation method of the painting area provided in the embodiment of the present invention.
In a second aspect, an embodiment of the present invention provides a method for calculating a coating area.
In an embodiment, referring to fig. 2, fig. 2 is a flowchart illustrating a first embodiment of a method for calculating a coating area according to the present invention. As shown in fig. 2, the method for calculating the coating area includes the steps of:
S10: building a BIM three-dimensional structure model of a structure to be calculated, wherein the material of the BIM three-dimensional structure model is a diffuse reflection material;
In this embodiment, a BIM three-dimensional structure model of the structure to be calculated is built in the BIM design software, where the material of the BIM three-dimensional structure model is a diffuse reflection material, so that light can be reflected in any direction better. In this embodiment, the BIM design software includes: revit software, catia software, rhino software, inventor software or 3DMax software. It is readily appreciated that the BIM design software in this embodiment is for reference only and is not limiting herein.
S20: placing the BIM three-dimensional structure model in an illumination scene, wherein the outer surface of the BIM three-dimensional structure model in the illumination scene is irradiated by a scattering light source;
In this embodiment, the BIM three-dimensional structure model is placed in an illumination scene, and one or more scattering light sources are disposed in the illumination scene, so that the outer surfaces of the BIM three-dimensional structure model are all illuminated by the scattering light sources. If a scattering light source is arranged, controlling the BIM three-dimensional structure model to rotate at a constant speed in the illumination scene; if a plurality of scattering light sources are arranged, the scattering light sources form a space annular surrounding for the BIM three-dimensional structure model.
Further, in an embodiment, a scattering light source is disposed in the illumination scene, and the BIM three-dimensional structure model rotates at a constant speed in the illumination scene.
In this embodiment, only one scattering light source is set in the illumination scene, and the BIM three-dimensional structure model is controlled to rotate at a constant speed in the illumination scene, so that each outer surface of the BIM three-dimensional structure model is illuminated by the scattering light source.
Further, in an embodiment, a plurality of scattering light sources are disposed in the illumination scene, and the plurality of scattering light sources form an enclosure for the BIM three-dimensional structure model.
In this embodiment, a plurality of scattering light sources are disposed in the illumination scene, and the plurality of scattering light sources form a spatial annular enclosure for the BIM three-dimensional structure model, so that each outer surface of the BIM three-dimensional structure model is illuminated by the scattering light sources.
S30: reading the illumination intensity of a scattering light source on each surface of the BIM three-dimensional structure model;
In this embodiment, an API (Application Programming Interface, application program interface, which is a predefined interface for controlling and secondarily developing software) of the BIM design software is used to read the illumination intensity of the scattering light source on each surface of the BIM three-dimensional structure model. The illumination intensity of the scattering light source does not decay with distance and decays with the increase of diffuse reflection times, namely, the more the diffuse reflection times of the light scattered by the scattering light source on each surface of the BIM three-dimensional structure model, the weaker the illumination intensity.
S40: and calculating to obtain a first coating type area, a second coating type area and a third coating type area of the BIM three-dimensional structure model according to the illumination intensity.
In this embodiment, the illumination intensity of the scattering light source is defined as G, and the attenuation Rate per diffuse reflection of the light of the scattering light source is defined as Rate. If the illumination intensity G of the scattering light source is 10 kaleidos, the attenuation Rate of each diffuse reflection of the light of the scattering light source is 20%, and the illumination intensity after the light of the scattering light source is attenuated once is the threshold value, the threshold value m=g (1-Rate) =8 kaleidos. The sum of the areas of the surfaces with zero illumination intensity is the area of the first coating type; the sum of the areas of the faces with the illumination intensity of more than 8 kaleidos is the area of the second coating type; the sum of the areas of the faces having an illumination intensity of less than or equal to 8 kaleidos and greater than zero is the third painting type area. Referring to fig. 3, fig. 3 is a schematic structural diagram of an embodiment of a method for calculating a coating area according to the present invention, where, as shown in fig. 3, a side without a hole is a sealing structure, a side with a hole is a semi-sealing structure, a first coating type area is an area of an inner region of the sealing structure, a second coating type area is an area of an outer surface region of the structure, and a third coating type area is an area of an inner region of the semi-sealing structure. It is easily conceivable that the parameters and the division of the painting types in the present embodiment are only for reference, and are not limited herein.
Further, in an embodiment, step S40 further includes:
Calculating the sum of areas of the surfaces with zero illumination intensity to obtain the area of the first coating type;
calculating the sum of areas of the surfaces with the illumination intensity larger than the threshold value to obtain the area of the second coating type;
And calculating the sum of areas of the surfaces with the illumination intensities smaller than or equal to the threshold value and larger than zero to obtain the area of the third coating type.
In this embodiment, the surface with zero illumination intensity is a surface that cannot be irradiated by the light of the scattering light source, the area of the surface with zero illumination intensity on the BIM three-dimensional structure model is obtained by a grid splitting method or a volume merging method, and then the sum of the areas of the surfaces with zero illumination intensity is calculated to obtain the first coating type area. Specifically, when the area of the surface with zero illumination intensity on the BIM three-dimensional structure model is obtained through a grid splitting method, the surface of a steel plate is traversed, each steel plate is analyzed, grid division processing is carried out on the surface of the steel plate, the center point of each grid small area is found out, the illumination intensity of each grid center point is inquired through a software API, grids with zero illumination intensity are determined, the area of each grid with zero illumination intensity is obtained, the sum of the areas of the grids with zero illumination intensity is calculated, and the area of the first coating type is obtained. When the area of the surface with zero illumination intensity on the BIM three-dimensional structure model is obtained through a volume merging method, all plates in the steel structure model are fused into a single body, each steel plate is analyzed, any point p on each steel plate is found out, the illumination intensity of the p point is inquired through a software API, the p point with zero illumination intensity is determined, the area of the steel plate corresponding to the p point with zero illumination intensity is obtained, the sum of the areas of the steel plates with zero illumination intensity is calculated, and the area of the first coating type is obtained.
The surface with the illumination intensity larger than the threshold value is the surface directly irradiated by the light of the scattering light source, the area of the surface with the illumination intensity larger than the threshold value on the BIM three-dimensional structure model is obtained through a grid splitting method or a volume merging method, and then the sum of the areas of the surfaces with the illumination intensity larger than the threshold value is calculated to obtain the second coating type area.
The surface with the illumination intensity smaller than or equal to the threshold value and larger than zero is the surface which can be irradiated by light through at least one diffuse reflection, the area of the surface with the illumination intensity smaller than or equal to the threshold value and larger than zero on the BIM three-dimensional structure model is obtained through a grid splitting method or a volume merging method, and then the sum of the areas of the surfaces with the illumination intensity smaller than or equal to the threshold value and larger than zero is calculated to obtain the third coating type area.
In the embodiment, a BIM three-dimensional structure model of a structure to be calculated is established, wherein the material of the BIM three-dimensional structure model is a diffuse reflection material; placing the BIM three-dimensional structure model in an illumination scene, wherein the outer surface of the BIM three-dimensional structure model in the illumination scene is irradiated by a scattering light source; reading the illumination intensity of a scattering light source on each surface of the BIM three-dimensional structure model; and calculating to obtain a first coating type area, a second coating type area and a third coating type area of the BIM three-dimensional structure model according to the illumination intensity. According to the embodiment, the manual work is not needed to judge which coating type each surface of the structure belongs to and then calculate the coating type of the structure, but the illumination intensity on each surface of the structure is used to judge which coating type belongs to and then calculate the coating type of the structure, so that the method is universal and simple, and when the coating area is calculated, the area of the connecting part of the steel plate or the steel section and the area of the inner surface of the upper hole of the steel plate or the steel section are not easy to miss, and the calculation precision and the labor efficiency are improved.
Further, in an embodiment, after step S40, the method further includes:
The required amount of the coating material is determined according to the first coating type area, the second coating type area and the third coating type area.
In this embodiment, after the first coating type area, the second coating type area and the third coating type area of the BIM three-dimensional structure model are obtained, the required amount of the actual coating material can be determined, so as to avoid the situation that the coating material is insufficient or excessive.
In a third aspect, an embodiment of the present invention further provides a device for calculating a coating area.
In an embodiment, referring to fig. 4, fig. 4 is a schematic functional block diagram of a first embodiment of a computing device for a painting area according to the present invention. As shown in fig. 4, the coating area calculating device includes:
Building module 10: the method comprises the steps of establishing a BIM three-dimensional structure model of a structure to be calculated, wherein the material of the BIM three-dimensional structure model is a diffuse reflection material;
Placement module 20: the BIM three-dimensional structure model is arranged in an illumination scene, and the outer surface of the BIM three-dimensional structure model in the illumination scene is irradiated by a scattering light source;
the reading module 30: the method comprises the steps of reading illumination intensity of a scattering light source on each face of the BIM three-dimensional structure model;
Calculation module 40: and the first coating type area, the second coating type area and the third coating type area are used for calculating and obtaining the BIM three-dimensional structure model according to the illumination intensity.
Further, in one embodiment, the calculating module 40 is specifically configured to:
Calculating the sum of areas of the surfaces with zero illumination intensity to obtain the area of the first coating type;
calculating the sum of areas of the surfaces with the illumination intensity larger than the threshold value to obtain the area of the second coating type;
And calculating the sum of areas of the surfaces with the illumination intensities smaller than or equal to the threshold value and larger than zero to obtain the area of the third coating type.
Further, in an embodiment, the computing device for a painting area further includes a determining module configured to:
The required amount of the coating material is determined according to the first coating type area, the second coating type area and the third coating type area.
Further, in an embodiment, a scattering light source is disposed in the illumination scene, and the BIM three-dimensional structure model rotates at a constant speed in the illumination scene.
Further, in an embodiment, a plurality of scattering light sources are disposed in the illumination scene, and the plurality of scattering light sources form an enclosure for the BIM three-dimensional structure model.
The function implementation of each module in the coating area calculating device corresponds to each step in the coating area calculating method embodiment, and the function and implementation process of each module are not described here in detail.
In a fourth aspect, embodiments of the present invention also provide a readable storage medium.
The present invention provides a method for calculating a paint area, which includes the steps of storing a paint area calculation program on a readable storage medium, wherein the paint area calculation program is executed by a processor.
The method implemented when the application area calculation program is executed may refer to various embodiments of the application area calculation method of the present invention, and will not be described herein.
It should be noted that, in this document, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or system that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or system. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or system that comprises the element.
The foregoing embodiment numbers of the present invention are merely for the purpose of description, and do not represent the advantages or disadvantages of the embodiments.
From the above description of the embodiments, it will be clear to those skilled in the art that the above-described embodiment method may be implemented by means of software plus a necessary general hardware platform, but of course may also be implemented by means of hardware, but in many cases the former is a preferred embodiment. Based on such understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art in the form of a software product stored in a storage medium (e.g. ROM/RAM, magnetic disk, optical disk) as described above, comprising several instructions for causing a terminal device to perform the method according to the embodiments of the present invention.
The foregoing description is only of the preferred embodiments of the present invention, and is not intended to limit the scope of the invention, but rather is intended to cover any equivalents of the structures or equivalent processes disclosed herein or in the alternative, which may be employed directly or indirectly in other related arts.

Claims (8)

1. A method of calculating a painting area, the method comprising:
building a BIM three-dimensional structure model of a structure to be calculated, wherein the material of the BIM three-dimensional structure model is a diffuse reflection material;
Placing the BIM three-dimensional structure model in an illumination scene, wherein the outer surface of the BIM three-dimensional structure model in the illumination scene is irradiated by a scattering light source;
reading the illumination intensity of a scattering light source on each surface of the BIM three-dimensional structure model;
Calculating to obtain a first coating type area, a second coating type area and a third coating type area of the BIM three-dimensional structure model according to the illumination intensity;
The step of calculating the first coating type area, the second coating type area and the third coating type area of the BIM three-dimensional structure model according to the illumination intensity comprises the following steps:
Calculating the sum of areas of the surfaces with zero illumination intensity to obtain the area of the first coating type;
calculating the sum of areas of the surfaces with the illumination intensity larger than the threshold value to obtain the area of the second coating type;
And calculating the sum of areas of the surfaces with the illumination intensities smaller than or equal to the threshold value and larger than zero to obtain the area of the third coating type.
2. The method of calculating a paint area according to claim 1, wherein after the step of calculating the first paint type area, the second paint type area, and the third paint type area of the BIM three-dimensional structure model according to the illumination intensity, further comprising:
The required amount of the coating material is determined according to the first coating type area, the second coating type area and the third coating type area.
3. The method of claim 1, wherein a scattering light source is disposed in the illumination scene, and the BIM three-dimensional structure model rotates at a constant speed in the illumination scene.
4. The method of claim 1, wherein a plurality of scattering light sources are disposed in the illumination scene, and the plurality of scattering light sources form a surrounding for the BIM three-dimensional structure model.
5. A paint area calculating device, characterized by comprising:
the construction module comprises: the method comprises the steps of establishing a BIM three-dimensional structure model of a structure to be calculated, wherein the material of the BIM three-dimensional structure model is a diffuse reflection material;
And (3) placing a module: the BIM three-dimensional structure model is arranged in an illumination scene, and the outer surface of the BIM three-dimensional structure model in the illumination scene is irradiated by a scattering light source;
And a reading module: the method comprises the steps of reading illumination intensity of a scattering light source on each face of the BIM three-dimensional structure model;
The calculation module: the first coating type area, the second coating type area and the third coating type area are calculated according to the illumination intensity;
The computing module is specifically used for:
Calculating the sum of areas of the surfaces with zero illumination intensity to obtain the area of the first coating type;
calculating the sum of areas of the surfaces with the illumination intensity larger than the threshold value to obtain the area of the second coating type;
And calculating the sum of areas of the surfaces with the illumination intensities smaller than or equal to the threshold value and larger than zero to obtain the area of the third coating type.
6. The paint area computing device of claim 5, further comprising a determination module to:
The required amount of the coating material is determined according to the first coating type area, the second coating type area and the third coating type area.
7. A paint area computing apparatus comprising a processor, a memory, and a paint area computing program stored on the memory and executable by the processor, wherein the paint area computing program, when executed by the processor, implements the steps of the paint area computing method of any one of claims 1 to 4.
8. A readable storage medium, wherein a calculation program of a painting area is stored on the readable storage medium, wherein the calculation program of the painting area, when executed by a processor, implements the steps of the calculation method of a painting area according to any one of claims 1 to 4.
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