JPH04294459A - Method and device for computing volume of object body - Google Patents

Abstract

PURPOSE:To accurately compute the volume of an object body by minimum manhour without requiring a large sized device. CONSTITUTION:An object body is divided into plural basic solids having reference shapes and coordinate positions indicating the surfaces of these basic solids are found out in each basic solid. A rectangular parallelopiped including these basic solids is formed based upon the found coordinate positions indicating the surfaces of the basic solids, the above rectangular parallelopiped is divided into plural fine rectangular parallelopiped elements like a mesh and the coordinate positions of respective elements are found out. Based upon the found surface coordinate positions corresponding to the basic solid in the current order out of the prescribed order of respective basic solids and the coordinate positions of the elements, the elements included in the basic solid in the current order are selected except the elements selected up to the preceding order and the selected elements are successively counted up. Thus the volume of the object body is computed based upon the counted elements and the volume of the elements.

Description

[Detailed description of the invention]

0001

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method and apparatus for calculating the volume of any three-dimensional object, such as a mechanical part or a cast part, in order to obtain data necessary for design or the like.

0002

2. Description of the Related Art Conventionally, there are the following techniques for calculating the volume of a three-dimensional object such as a mechanical part from a drawing.

1) Manual calculation method With reference to the drawing showing the object, each part of the complex solid is divided into basic solids of the basic shapes of cones, pyramids, cylinders, prisms, and rotating objects, and each basic solid is calculated. Calculate the volume based on the formula. On the other hand, for areas where the formula does not apply or where basic solids overlap, we rely on intuition and empirical facts to calculate the volume. Then, the total volume is obtained by summing these calculated volumes so that they do not overlap.

2) Solid modeler method (using a computer) The object is divided into basic solids showing its basic shape based on a drawing showing the object, and the coordinate position of the surface of each basic solid is input. Then, the basic solids are repeatedly added, subtracted, bent, stretched, etc. on the screen, and an object is obtained as a composite of the basic solids. At this time, the object has vertex data, edge data, and surface data so that it is recognized as a single object. Then, the volume of the object is calculated based on the data of these complicated data structures.

[0005]

[Problems to be Solved by the Invention] However, the manual calculation described in 1) above takes an enormous amount of time and increases the number of man-hours because it is performed manually. Moreover, much of the work relies on intuition and experience, which requires skill and the accuracy of the calculations is not very good.

[0006] Regarding (2), although the solid modeler method has good calculation accuracy, it has the disadvantage that the operation of synthesizing an object from basic solids is complicated. Furthermore, since the calculation is based on data with a complex data structure, the calculation load is large and time consuming, and a large computer with a large capacity of memory must be used.

The present invention has been made in view of the above circumstances, and it is possible to calculate the volume of an object in a short time without requiring the operator to be skilled, and moreover, by reducing the calculation load, it is possible to calculate the volume of an object. The object of the present invention is to provide a method and apparatus for calculating the volume of an object, which can calculate the volume with high precision using a general-purpose computer.

[0008]

[Means for solving the problem] Therefore, in this invention,
A process of dividing an object into a plurality of basic solids having basic shapes and determining the coordinate position indicating the surface of the basic solid for each basic solid, and dividing the plurality of basic solids based on the determined coordinate position. A process of generating an enclosing rectangular parallelepiped, meshing the rectangular parallelepiped into a plurality of minute rectangular parallelepiped elements, and determining the coordinate positions of each of the meshed elements, and determining the surface coordinate position corresponding to the basic solid and the determined Based on the coordinate position of each element, the elements included in the basic solid are sequentially selected from among the plurality of elements for each basic solid excluding the previously selected elements, and the sequentially selected elements are and a step of calculating the volume of the object based on the counted number of elements and the volume of the element.

[0009]

[Operation] That is, according to this configuration, an object is divided into a plurality of basic three-dimensional bodies having basic shapes. Next, coordinate positions indicating the surfaces of the plurality of basic solids are determined for each basic solid. Next, a rectangular parallelepiped containing the plurality of basic solids is generated based on the coordinate positions indicating the surfaces of the plurality of basic solids thus determined. At this time, the rectangular parallelepiped is mesh-cut into a plurality of minute rectangular parallelepiped elements, and the coordinate positions of each of these mesh-cut elements are determined. Next, in a predetermined order for each basic solid, select the elements included in the basic solid in the current order from among the multiple elements based on the surface coordinate position corresponding to the basic solid in the current order and the coordinate position of each element. , excluding the previously selected elements, and counting the number of selected elements. Therefore, the volume of the object can be determined based on the number of counted elements and the volume of the elements.

0010

DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, embodiments of the method and apparatus for calculating the volume of an object according to the present invention will be described with reference to the drawings.

FIG. 2 shows the X-Y-Z as shown in FIG. 3(a).
1 conceptually shows the configuration of a calculation device that calculates the volume and weight of an object 1 (hereinafter referred to as a model), which is a three-dimensional object.

As shown in FIG. 2, the embodiment device mainly includes a tablet 20 for inputting the coordinate position of each point on a two-dimensional trigonometric drawing of the model 1 by pen touch input; The process shown in FIG. 1 is performed based on the data inputted using the keyboard 21, tablet 20, and keyboard 21, and the model 1 is divided into multiple divided models 1' as shown in FIG. 3(b). a general-purpose personal computer (hereinafter referred to as a personal computer) 30 that calculates the volume and weight of the model 1 by dividing it into minute rectangular parallelepiped elements;
It is composed of a display section 40 mainly composed of a CRT or the like for displaying the calculation results of the personal computer 30.

In the personal computer 30, input data from the tablet 20 and the keyboard 21 are sent to the CP via an input board 33.
It is input to U31. Then, the CPU 31 performs necessary arithmetic processing based on the memory 32 that stores programs and the like for performing the processing shown in FIG. Ru.

Now, the processing performed by the CPU 31 will be explained with reference to FIG. 1 and FIGS. 4 to 9.

Basic three-dimensional setting process First, based on a drawing (not shown) showing the model 1, the operator converts the model 1 and the part including the space in contact with it into a simple figure, such as a cone, pyramid, cylinder, prism, etc. Performs processing to divide into basic solids represented as rotating objects. The purpose of this is to make the figures simple so as to reduce the calculation load, so it does not matter if the basic solids have some overlapping parts. As shown in FIG. 4, the model 1 is divided into a basic cylindrical solid A that shows only space, a basic cylindrical solid B that includes space, and a basic cylindrical solid C.

Once divided into the basic solids in this way, group indexing is assigned to each of the basic solids A, B, and C, and a priority order indicating the order of processing to be described later is performed. Here, as a standard for group indexing, indexes '0' and '1' are assigned depending on whether the basic solid shows only space or whether it contains materials (for example, iron) that make up model 1. Ru. In the case of model 1, the group index is as follows: Basic solid A='0' Basic solid B='1' Basic solid C='1' (1)

[0017] Furthermore, as a criterion for priority order, a basic solid that includes a space is placed after a basic solid that represents the space. In the case of model 1, basic solid B
contains the basic solid A that indicates space, so the ordering is "1", "2" so that the basic solid B comes after the basic solid A.
''..., and the priority order is determined, for example, basic solid A=``1'' basic solid B=``2'' basic solid C=``3'' (2) (step 101).

Data Input Processing Next, the drawing of the model 1 is placed on the tablet 20, and the two-dimensional coordinate position of the surface of each of the basic solids A, B, and C is input by pen touch input. On the other hand, data indicating the group index and priority order of each of the basic solids A, B, and C are input via the keyboard 21.

Inputting the coordinate positions of the basic solid body using the tablet 20 is, for example, in the case of the basic solid body A, first, as shown in FIG. , PA2..., two-dimensional coordinate positions (XA1, YA1), (XA2, YA2)... are sequentially input.

Next, in a similar manner, the two-dimensional coordinate positions of each corner point of the opposing surface 4, which is a plane facing the reference surface 2, are sequentially input. The above processing is performed on the reference surface 2 and the opposing surface 4 shown as planes in the drawing.
Since this is a simple task of tracing the outline of the corresponding part with a pen, the operator can perform it easily and quickly.

Data indicating the length of the line L connecting the reference surface 2 and the opposing surface 4 is input from the keyboard 21. Then, the basic solid body A of the cylinder is specified from this data and the data indicating the corner points input above. That is, the three-dimensional coordinate positions (XA1, YA1, ZA1), (XA2, YA2) of each corner point PA1, PA2...
, ZA2)... are obtained, and the coordinate positions on each surface 2, 3, and 4 of the basic solid A can be specified three-dimensionally as shown in the figure. Note that FIG. 5 shows an example in which the rounded portion of the basic solid A is approximated by a straight line.

In any case, the basic solid is tablet 20
The coordinate positions on each surface input from the keyboard 21 and the positional relationship between these surfaces (distance between each surface) input from the keyboard 21
The three-dimensional coordinate position of each surface constituting the solid can be obtained by performing processing such as rotation and expansion using a known CAD method based on the data indicating the . In addition, in the case of a cylinder, the reference surface and the opposing surface are the same, so it is only necessary to input the coordinate position indicating the outline of the reference surface, and the opposing surface is assumed to be the same as the reference surface, so enter the coordinate position regarding the opposing surface. The work may be omitted.

Furthermore, since the reference plane of a cylinder is specified by its center position and radius, it is also possible to similarly input data indicating the center position and radius instead of inputting the coordinate position on the outline of the reference plane. Able to perform work.

[0024] Even if the basic solid is a cone, pyramid, or prism, by inputting data indicating the two-dimensional coordinate position on the outline of two opposing planes and the distance between the two opposing planes, The three-dimensional coordinate position of each surface constituting the basic solid is specified in the same manner as in the case of a cylinder. In the case of a rotating body, it is specified by inputting the two-dimensional coordinate position of a cross section passing through the center axis of rotation and data such as the radius of rotation. Furthermore, if the three-dimensional coordinate position of each surface of the basic solid is easily known, it is possible to input this directly as data (step 102).
).

・Three-dimensional graph paper creation process As described above, when the three-dimensional coordinate positions of each plane constituting each of the basic solids A, B, and C are obtained based on the input data in step 102, the basic solids A, B, Since we know the spatial extent of C, we can determine the basic solids A and B based on the above coordinate positions.
, C is shown in Figure 6 (
It is created as shown in a), and straight lines are formed inside this rectangular parallelepiped in the directions of the X, Y, and Z axes, starting from the corner points of the basic solids A, B, and C. Therefore, minute rectangular parallelepiped elements d1, d2, etc., which are partitioned by these straight lines and meshed, are obtained, and a three-dimensional graph paper 5 is created as an aggregate of these elements d1, d2,.... Note that before mesh cutting, the maximum and minimum values of the grid width are set, and these setting data are input. Therefore, based on this input data, the three-dimensional graph paper 5 is created so that the grid width of each element is limited within the range of the maximum and minimum values.

As shown in FIG. 6(b), each element d1
, d2 ... center position Pd1 (Xd1, Yd1, Zd
1), Pd2 (Xd2, Yd2, Zd2)... is memory 3
2 (step 103).

Element selection process for each basic solid Next, from among the elements constituting the three-dimensional graph paper 5, basic solids A, B,
A process of extracting and selecting elements included in each basic solid is performed for each C. This selection is performed in the order of "1", "2", etc. indicated by the priority order data input in step 102.

In this process, it is determined for each element d1, d2, . In this case, the basic solid after the basic solid is not judged. That is, for element d1, it is first determined whether or not it is included in the basic solid A, and if it is determined that it is not included, it is determined whether it is included in the next basic solid B. As a result, if it is determined that it is "included," the same process is performed for the next element d2, starting from the basic solid A, without making any judgment regarding the next basic solid C. Note that when it is determined that an element is included in the basic solid, the element is associated with the index groups '0' and '1' of the basic solid. Additionally, if it is determined that the element is not included in any of the basic solids, that element corresponds to a spatial part that does not constitute Model 1, so a group index of '0' indicating space is assigned to the element. .

The image of the above processing will be explained below with reference to FIGS. 7 and 8.

FIG. 7(a) shows the priority order "1" ((2) above).
A basic solid A (see formula) is selected, and the coordinate positions of each surface 2, 3, 4 of this basic solid A and the center position Pd1 (
Xd1, Yd1, Zd1), Pd2 (Xd2, Yd2,
p elements d1A to dpA selected as being included in the basic solid A by comparing the elements d1A to dpA are shown. Group index '0' (see equation (1) above) corresponding to basic solid A is assigned to each of these p elements.

Here, the basic solid A is a simple figure called a cylinder, and each element is calculated by a simple arithmetic process that only compares the coordinate position of each surface 2, 3, and 4 of a simple data structure with the coordinate position of the element. It can be quickly determined whether or not is inside the basic solid A. In the case of the example, the center position P
To determine whether element d of (Xd, Yd, Zd) is within the basic solid, calculate a straight line that passes through this center position P and is parallel to the Z axis, and if this straight line is below the center position P When a surface intersects with the surfaces that make up a solid, if the number of intersecting surfaces is an odd number, it is said to be "included," and if it is an even number or zero, it is said to be "not included." In the basic solid A, when it is determined that the straight line intersects only one (odd number) of the opposing surfaces 4, the element d is determined to be inside the basic solid A. The same judgment criteria are used to determine whether or not basic solids B and C, which will be described later, are included. In any case, since the basic solid has a simple surface configuration, it is possible to quickly determine whether an element is inside or not using simple logic.

In this regard, in the conventional solid modeler method, an operation is performed to synthesize basic solids to create an entire model, and elements included in this model are selected. In this method, in order to specify the entire complex model, it is not possible to specify it simply by the coordinate positions of each surface, but complex data such as vertex data and edge line data are required. Therefore, determining whether each element is inside the model involves comparing the coordinate position of the element with data in a complex data structure that takes into account vertex data, edge data, etc. in addition to surface data, so calculation processing is required. It becomes complicated. Moreover, the calculations to synthesize the basic solids were themselves complicated. In this respect, the embodiment according to the present invention avoids such complicated calculations.

FIGS. 7(b) and 7(c) show priority order "2".
The basic solid B (see equation (2) above) is selected, and the coordinate positions of each surface 6, 7, 8 of this basic solid B and the elements d1, d2, etc. of the three-dimensional graph paper 5 stored in the memory 32 are selected. Center position Pd1 (Xd1, Yd1, Zd1), Pd2 (Xd
2, Yd2, Zd2)... to select elements that are considered to be included in the basic solid B. Here, the basic solid B is a simple figure called a cylinder, and each element is converted into a basic solid by a simple calculation process that only compares the coordinate positions of each surface 6, 7, and 8 of a simple data structure with the coordinate position of the element. It is possible to quickly determine whether or not it is inside B.

Here, in order to avoid duplication of selected elements and to speed up the processing, elements that have already been selected in the previous order are excluded at the time of judgment. That is, it is determined whether or not the elements are inside the basic solid B except for the elements d1A, which were already selected in the previous basic solid A. If you think about it simply, the elements included in basic solid B are q elements d1B to dqB as shown in Figure 7(b), but since element B includes element A, it corresponds to element A. Elements d1A to dpA are removed from elements d1B to dqB, and (qp) elements d1B to d(qp)B
A cylindrical solid B' is formed as a collection of (Fig. 7(c)
)reference).

Note that these (qp) elements each have a group index '1' corresponding to the basic solid B.
(see formula (1) above) is given.

Furthermore, in FIGS. 8(a) and 8(b), the basic solid C with the priority order "3" (see equation (2) above) is selected, and each of the faces 10, 11, and 12 of this basic solid C is Coordinate position and element d1 of three-dimensional graph paper 5 stored in memory 32
, d2 ... center position Pd1 (Xd1, Yd1, Zd1
), Pd2 (Xd2, Yd2, Zd2), . . . to select elements that are considered to be included in the basic solid C. Here, the basic solid C is a simple figure called a cylinder, and each surface 10 and 11 of a simple data structure is
, 12 and the coordinate position of the element, it is possible to quickly determine whether each element is inside the basic solid C or not.

[0037] Also here, in order to avoid duplication of selected elements and to speed up processing, elements that have already been selected in the previous order are excluded at the time of judgment. In this case, it is determined whether or not the elements are inside the basic solid C except for the element d1A, which was already selected in the basic solid A, and the element d1B, which was already selected in the basic solid B. It will be done. In other words, the basic solid C can be simply considered as shown in Figure 8 (a
), it is a set of r elements d1C to drC, but since the root part 13 partially overlaps with the basic solid B, it corresponds to the root part 13 selected when the basic solid B was selected last time. S elements d1B to dsB are element d1C
Removed from ~drC, (rs) elements d1C~
A solid C' is formed as a set of d(rs)C (see FIG. 8(b)). A group index '1' (see equation (1) above) corresponding to the basic solid C is assigned to each of these rs elements.

As mentioned above, the elements d1A to dpA, d1 included in the basic solids A, B, and C are arranged so that they do not overlap with each other.
B to d(qp)B and d1C to d(rs)C are respectively selected, and each element is given a group index corresponding to the solids A, B, and C and stored in the memory 32. . Elements that are determined not to be included inside any basic solid are stored with a group index of '0' indicating space assigned thereto.

In the embodiment, the judgment as to whether or not each element is included inside the basic solid is made for each element in the order of basic solids A, B, and C. For each element, it is determined whether or not it is included inside the basic solid A, for the remaining elements, it is determined whether or not it is contained inside the basic solid B, and then for the remaining elements, it is determined whether or not it is contained inside the basic solid C.
It is also possible to perform selection processing such that it is determined whether or not the element is included in the interior of any of the basic solids, and the element that is determined not to be included in any of the basic solids is a space (step 104).
).

- Element number counting process Next, in step 104, among the elements stored in the memory 32, the group index (formula (1) above) is '0'.
Group index '1' (a solid that may contain space but at least includes a part that constitutes model 1) excluding the element corresponding to ' (a solid that only represents space and does not constitute model 1) The corresponding elements are extracted as a divided model 1' as shown in FIG. Then, a process of counting the number of extracted '1' elements is performed. In this case, the basic solid A has group index '0'
Therefore, the elements d1B to d(qp)B, d corresponding to the basic solids B and C with the group index '1' are removed.
A total of (qp)+(rs) 1C to d(rs)C are counted (step 105).

Volume and Weight Calculation Process Next, the volume of the model 1 is calculated based on the number of elements counted in step 105 and the volume of the elements. Here, step 103
In , the three-dimensional graph paper 5 has an element d1 of the same volume v,
Once divided into d2..., the volume V of model 1 can be obtained by performing the calculation V={(q-p)+(rs-rs)}·v...(3). On the other hand, when meshing is performed in step 103, each element d1
, d2..., if the volumes are different like v1, v2..., then the calculation, V=d1B・v1B+d2B・v2B+...+d(q-p
)B・v(q-p)B+d1C・v1C+d2C・v2
By performing C+...+d(rs)C·v(rs)C...(4), the volume V of model 1 is obtained.

Once the volume V of model 1 is obtained as above, by multiplying this by the density (specific gravity) ρ of model 1, the weight W of model 1 can be obtained as shown in equation (5) below. .

W=V・ρ (5) The calculation results V and W are displayed on the screen of the display unit 40, and based on these, the operator can appropriately design the parts to be combined with the model 1. It becomes (
Step 106).

In the embodiment described above, the number of each element d is counted in units of 1 based on a unique judgment as to whether or not an element d of a predetermined size is included in the basic solid. By further dividing d into n local elements D, it is determined whether or not each local element D is included. When x elements D are included among n elements, "element d
is included in the basic solid by x/n pieces,'' and so on, 1/
It is also possible to improve the calculation accuracy of the volume V and weight W by counting in n units.

FIG. 10 shows a basic solid 1'' in the shape of a rectangular parallelepiped enclosed in a three-dimensional graph paper 5' for the convenience of the above explanation.
Indicates the case of counting the number of elements contained within.

When the figure (a) is viewed from the direction of the arrow E (Y-axis direction), the basic solid 1'' is composed of each X of the elements d constituting the three-dimensional graph paper 5' as shown in the figure (b). -Z The mesh is cut using a two-dimensional square grid. At this time, when determining whether or not each element d is included in the basic solid 1'', it is determined that among the 11 elements d11 to d21, 7 elements d12, d13, etc. shown with diagonal lines are included in the basic solid 1''. It is included and counted.

On the other hand, 11 elements d11 to d21
If each element d is divided into 81 local elements D, each element d will be divided into 9 local elements D on the XZ plane when similarly viewed as a two-dimensional square lattice. Therefore, when determining whether or not the basic solid 1'' is included in the local element D, it is determined that one local element D is included in the element d11, and "1/9 of the local element D is included in the element d11". It is said that Similarly, it is assumed that the element d12 contains seven D's, and it is assumed that "the element d12 contains 7/9 D's." In the above manner, it is counted in units of 1/9. In the end, when counted in units of 1/9 in the Y-axis direction, it becomes 1/81. These count values are divided into 11 elements d11 to d2.
The total number for 1 is 6.55, which means that the accuracy is significantly improved.

As explained above, the calculation process of the embodiment is as follows:
Since the data input work for simple basic solids and the element selection process for each basic solid in a simple data structure are repeated, input operations and calculation processing can be performed in a short time, and since complex calculation processing is not required, it is possible to Processing can be done with a general-purpose personal computer without using a computer. Furthermore, since the operation is simple and does not require relying on intuition, even an inexperienced operator can perform the work with high precision.

[0049] In the embodiment, the case where the basic solid includes space has been explained, but the present invention is not limited to this, and depending on the type of model, the case where the divided basic solid does not include space is explained. It is also applicable to In this case, without performing group indexing or priority ordering according to the presence or absence of space, only element selection processing for each basic solid is performed so that elements in areas where basic solids overlap do not overlap. It gets better.

Furthermore, in the embodiment, the calculation for calculating the weight in equation (5) is performed assuming that the materials composing the models are the same (for example, iron) and the density ρ is a unique value. If the materials that make up the model are different, this can be handled as follows.

For example, assuming a model in which part A is made of iron in FIG. 4, and parts B and C other than A are made of aluminum,
, when assigning a group index, '1' is assigned to iron and '2' is assigned to aluminum. Basic solids that contain iron and are made of a material different from iron are prioritized so that they come after the basic solid that represents iron. Then, the elements are selected in the order of basic solid A, B, and C, and group index '1' is assigned to the elements constituting basic solid A, and group index '1' is assigned to the elements constituting B' and C'. 2' is given. Therefore, if the volume of the sum of the elements of '1' is V1 and the volume of the sum of the elements of '2' is V2, then the density of iron is ρ1,
Assuming that the density of aluminum is ρ2, calculation, W=ρ1
・V1 +ρ2 ・V2 By performing (6), the weight W of the model can be obtained.

[0052]

As explained above, according to the present invention, the volume of an object can be determined with high accuracy without requiring a large-scale device, with a low number of man-hours.

[Brief explanation of drawings]

FIG. 1 is a flowchart showing an embodiment of a method for calculating the volume of an object according to the present invention.

FIG. 2 is a block diagram showing the configuration of an embodiment of an object volume calculation device according to the present invention.

FIGS. 3A and 3B are perspective views illustrating the object of the embodiment and a division model in which the object is divided into a plurality of minute rectangular parallelepiped elements.

FIG. 4 is a perspective view showing how the object shown in FIG. 3(a) is divided into basic three-dimensional parts.

FIG. 5 is a perspective view showing the geometrical positional relationship of each surface of the basic solid shown in FIG. 4;

6A and 6B are perspective views showing the positional relationship between the object shown in FIG. 4 and the three-dimensional graph paper containing it, and enlarged views of the elements constituting the three-dimensional graph paper, respectively. FIG.

7A to 7C are perspective views illustrating a process of selecting elements included in each basic solid shown in FIG. 4;

8A and 8B are perspective views illustrating a process of selecting elements included in each basic solid shown in FIG. 4;

FIG. 9 is a perspective view showing a division model in which an object is divided into a plurality of minute rectangular parallelepiped elements.

FIG. 10 is a diagram used to explain an embodiment in which the accuracy of calculation is improved by further dividing the elements of three-dimensional graph paper into a plurality of local elements.

[Explanation of symbols]

1 Object 1´　　Split model 5 3D graph paper 20 Tablet 21 Keyboard 30 Personal computer 31 CPU 32 Memory 40 Display section A Basic solid B Basic solid C Basic solid

Claims (6)

[Claims] 1. A step of dividing an object into a plurality of basic solids having basic shapes and determining a coordinate position indicating the surface of the basic solid for each basic solid; A process of generating a rectangular parallelepiped containing a plurality of basic solids, meshing the rectangular parallelepiped into a plurality of minute rectangular parallelepiped elements, and determining the coordinate positions of each of the meshed elements, and surface coordinates corresponding to the basic solid. Based on the position and the coordinate position of each element determined above, the elements included in the basic solid are sequentially selected from among the plurality of elements for each basic solid, excluding the previously selected elements, and A method for calculating the volume of an object, comprising a step of counting the number of elements that are sequentially selected, and a step of calculating the volume of the object based on the counted number of elements and the volume of the element. 2. A step of further meshing a predetermined element among the plurality of elements into n minute rectangular local elements and determining the coordinate positions of each of the meshed local elements; a step of sequentially selecting local elements included in the basic solid for each basic solid, excluding the local elements selected up to the previous time, based on the corresponding surface coordinate position and the determined coordinate position of each local element; 2. The object volume calculation method according to claim 1, wherein each of said selected local elements is counted as 1/n. 3. The method for calculating the volume of an object according to claim 1, wherein the weight of the object is determined by multiplying the calculated volume of the object by the density of the object. 4. Divide an object made of different materials into a plurality of basic solids of basic shapes, classify these plurality of basic solids by material type, and include the first material, a process of ordering the plurality of basic solids so that a basic solid of a second material different from the first material comes after the basic solid representing the first material; a step of determining the coordinate position indicated for each basic solid, and generating a rectangular parallelepiped containing the plurality of basic solids based on the determined coordinate position, and meshing the rectangular parallelepiped into a plurality of minute rectangular parallelepiped elements. The step of determining the coordinate positions of the meshed elements, and the step of determining the coordinate positions of the meshed elements, and the step of determining the coordinate positions of the meshed elements based on the surface coordinate positions corresponding to the basic solids in the ordered order and the determined coordinate positions of each element. A process of selecting the elements included in the basic solid in the relevant order from among the elements, excluding the previously selected elements, and sequentially associating the selected elements with the basic solid in the relevant order, and corresponding for each of the basic solids. The volume of each basic solid is calculated based on the assigned element and the volume of the element, the volume of the object is calculated by summing these calculated volumes, and the volume of each basic solid and the classification are calculated. calculating the weight of each basic solid based on the calculated density according to the type of material corresponding to the basic solid, and calculating the weight of the object by summing the calculated weights. How to calculate the volume of an object. 5. Divide an object and a space in contact with the object into a plurality of basic solids having basic shapes, classify the divided plurality of basic solids into basic solids that only represent the space, and other basic solids, and , a process of ordering the plurality of basic solids so that the basic solid that includes the space comes after the basic solid that represents the space; and determining the coordinate position indicating the surface of the basic solid for each basic solid. A rectangular parallelepiped containing the plurality of basic solids is generated based on the process and the determined coordinate positions, the rectangular parallelepiped is meshed into a plurality of minute rectangular parallelepiped elements, and the coordinate positions of the meshed elements are determined. Based on the respective required steps, the surface coordinate position corresponding to the basic solid in the said order according to the ordered order, and the coordinate position of each of the elements, elements included in the basic solid in the said order are selected from among the plurality of elements. , excluding the previously selected elements, and sequentially associating the selected elements with the basic solids in the order, and selecting only the space from among the elements associated with each basic solid. A method for calculating the volume of an object, the method comprising the step of calculating the volume of the object based on the number of elements excluding elements corresponding to a basic solid shown and the volume of the elements. 6. Divide an object and a space in contact with the object into a plurality of basic solids of basic shapes, input coordinate position data indicating the surfaces of these plurality of basic solids for each basic solid, and Classification data for classifying a plurality of basic solids into basic solids that only represent the space and others, and ordering the plurality of basic solids so that the basic solid that includes the space comes after the basic solid that shows the space. an input means for inputting order data inputted by the input means; and generating a rectangular parallelepiped containing the plurality of basic solids based on the coordinate position data inputted by the input means, and meshing the rectangular parallelepiped into a plurality of minute rectangular parallelepiped elements. an element generating means for storing coordinate position data of the meshed elements; and input coordinate position data corresponding to the basic solid in the order according to the order based on the order data input by the input means. Based on the storage coordinate position data of each element, select the elements included in the basic solid in the order from among the plurality of elements, excluding the previously selected elements, and select the selected elements in the order. an element selecting means for sequentially associating elements with the basic solids, and selecting elements from among the elements corresponding to each of the basic solids,
means for excluding elements corresponding to a basic solid representing only the space based on the classification data input by the input means and calculating the volume of the object based on the number of the excluded elements and the volume of the element; A device for calculating the volume of an object.