WO2017098542A1

WO2017098542A1 - Omnidirectional image generation device, omnidirectional image generation method, and omnidirectional image generation program

Info

Publication number: WO2017098542A1
Application number: PCT/JP2015/006177
Authority: WO
Inventors: 光雄林
Original assignee: 光雄林
Priority date: 2015-12-10
Filing date: 2015-12-10
Publication date: 2017-06-15
Also published as: JP6762677B2; JPWO2017098542A1

Abstract

Provided are an omnidirectional image generation device, an omnidirectional image generation method, and an omnidirectional image generation program whereby it is possible to generate an omnidirectional image suitable for an origami object that can be easily created. The omnidirectional image generation device, the omnidirectional image generation method, and the omnidirectional image generation program are designed to generate, from an original omnidirectional image, an omnidirectional image that is to be formed on the surfaces of a three-dimensional object that is completed by folding a sheet-like medium in a predetermined folding order, wherein: groups of vertices constituting surfaces, each surface corresponding to one of the surfaces of the three-dimensional object, are provided in the three-dimensional space represented by the original omnidirectional image; vectors, each representing the direction from an origin in the three-dimensional space toward one vertex of the group of vertices, are associated with position coordinates on the sheet-like medium; and information about pixels on each of the surfaces constituted by the groups of vertices is generated on the basis of the coordinate information associated with each vertex.

Description

Omnidirectional image generation apparatus, omnidirectional image generation method, and omnidirectional image generation program

The present invention relates to an omnidirectional image generation apparatus, an omnidirectional image generation method, and an omnidirectional image generation program.

Conventionally, in order to print a planar image on a sheet-like medium made of paper, cloth, plastic, or the like (hereinafter referred to as an omnidirectional image) that covers an omnidirectional background of an operator or an observer It is necessary to perform coordinate conversion from 3D coordinates to 2D coordinates.

Examples of the conversion method from the three-dimensional coordinates to the two-dimensional coordinates include an equirectangular projection and a method using a three-dimensional development view.

Examples of images using equirectangular projection include photographing with a dedicated omnidirectional digital camera (for example, THETA (registered trademark) manufactured by Ricoh Co., Ltd.) and computer graphics images provided by volunteers (for example, , Skydome, etc.). Note that the images themselves obtained by these methods are two-dimensional planes, but can be displayed on a spherical model or a computer display device as a background image by using dedicated software.

On the other hand, as a method of using a development view of a three-dimensional shape, for example, as represented by paper craft, a technique for generating an image for developing a three-dimensional shape object from a flat paper as a development view is known ( For example, see Patent Document 1). There is also a business whose business is to sell images generated as development views and finished products actually obtained based on the development views as products.

It should be noted that a three-dimensional object to which the omnidirectional image is applied is preferably a three-dimensional object having few depressions and protrusions, and for example, a shape close to a sphere like an earth globe is ideal.

By the way, as a technique for adding a partial image to a three-dimensional object, there is a method using origami as shown in Patent Documents 2 to 5.

JP 2012-73766 A Utility Model Registration No. 3089936 JP 2002-332162 A JP 2003-33569 A JP-A-5-342313

When making a three-dimensional object with an omnidirectional image on the surface using origami, it is necessary to adjust the deformation of the omnidirectional image while confirming or estimating the completed state, so it is printed on the origami before the work. It is difficult to automatically generate a pre-omnidirectional image.

For this reason, in the prior art, there is no choice but to use images prepared in advance or images created by a person with specialized knowledge such as a designer.

Furthermore, for the field of origami with an infinite number of shapes, omnidirectional images are applied so that the three-dimensional continuity, that is, the surfaces are continuous and the images are continuous on all adjacent surfaces. This has not been assumed conventionally. In addition, since normal origami is square, it may start to be folded in a state rotated by 90 degrees or 180 degrees, but when using origami on which an image is printed, by starting folding from an unexpected direction, The image layout may not be correct when completed.

On the other hand, in the case of paper craft, the degree of freedom of shape is higher than that of origami, for example, a development view for working a three-dimensional object close to a sphere such as a truncated icosahedron, and generation of an omnidirectional image suitable for it Has been implemented conventionally. However, the closer to the sphere, the more complicated the shape of the developed view tends to become, and tools and labor are required in the process of the work after image printing.

The present invention has been made in view of such a situation, and an object of the present invention is to provide an omnidirectional image generation apparatus and an omnidirectional image generation apparatus capable of generating an omnidirectional image suitable for origami that can be easily worked. An image generation method and an omnidirectional image generation program are provided.

In order to solve the above-described problem, the omnidirectional image generation apparatus according to the first aspect of the present invention is a three-dimensional object that is completed by folding a sheet-like medium from an original omnidirectional image according to a predetermined folding order. An omnidirectional image generation apparatus for generating an omnidirectional image formed on a surface, wherein a central control unit and a surface corresponding to the surface of the three-dimensional object are formed in a three-dimensional space of the original omnidirectional image A vertex setting unit for providing a vertex group; and a storage unit for storing coordinate information in which a vector representing a direction from the origin of the three-dimensional space for each vertex and a positional coordinate on the sheet-like medium are associated with each other, The central control unit generates pixel information located in each plane based on the coordinate information read from the storage unit.

In addition, the omnidirectional image generation method according to the second aspect of the present invention is formed on the surface of a three-dimensional object completed by folding a sheet-like medium according to a predetermined folding order from the original omnidirectional image. A generating method for generating an omnidirectional image, a vertex setting step of providing a vertex group constituting a surface corresponding to the surface of the three-dimensional object in the three-dimensional space of the original omnidirectional image, and for each vertex An association step for associating a vector representing the direction from the origin of the three-dimensional space with the position coordinates on the sheet-like medium, and generating pixel information located in each plane based on the coordinate information associated with each vertex. And a generation process.

Furthermore, the omnidirectional image generation program according to the third aspect of the present invention provides a computer with a group of vertices constituting a surface corresponding to the surface of the three-dimensional object in the three-dimensional space of the original omnidirectional image. A vector representing the direction from the origin of the three-dimensional space is associated with the position coordinates on the sheet-like medium, and pixel information located in each plane is generated based on the coordinate information associated with each vertex. By doing so, it is possible to function to generate an omnidirectional image formed on the surface of a three-dimensional object completed by folding a sheet-like medium in accordance with a predetermined folding order from the original omnidirectional image. Yes.

According to the present invention, it is possible to provide an omnidirectional image generation apparatus, an omnidirectional image generation method, and an omnidirectional image generation program capable of realizing generation of an omnidirectional image suitable for origami that can be easily worked. .

It is a block diagram explaining the structure of the omnidirectional image generation apparatus 1 which concerns on one Embodiment of this invention. It is a figure explaining an example of the memory map of the main memory 12 used at the time of execution of the omnidirectional image generation program which concerns on this embodiment. It is a flowchart explaining operation | movement of the omnidirectional image generation apparatus 1 which concerns on one Embodiment of this invention. It is a flowchart explaining operation | movement of the omnidirectional image generation apparatus 1 which concerns on one Embodiment of this invention. It is a figure explaining the example of 1 structure of the omnidirectional image selection screen 100 which concerns on one Embodiment of this invention. (A) It is an example of the original omnidirectional image whose image format is equirectangular projection. (B) It is an example of the original omnidirectional image whose image format is a development view of an icosahedron. It is a figure explaining the vertex group which comprises the surface set to the three-dimensional space of the original omnidirectional image which concerns on one Embodiment of this invention. It is a figure explaining the position coordinates of the vertex on the origami before work concerning one embodiment of the present invention. It is a figure explaining the production | generation process of the pixel information located in a surface. It is a figure explaining the example of the omnidirectional image produced | generated by one Embodiment of this invention. It is a figure explaining the vertex group which comprises the surface set to the three-dimensional space of the original omnidirectional image which concerns on one Embodiment of this invention. It is a figure explaining the position coordinates of the vertex on the origami before work concerning one embodiment of the present invention. It is a figure explaining the example of the omnidirectional image produced | generated by one Embodiment of this invention. It is a figure explaining the vertex group which comprises the surface set to the three-dimensional space of the original omnidirectional image which concerns on one Embodiment of this invention. It is a figure explaining the position coordinates of the vertex on the origami before work concerning one embodiment of the present invention. It is a figure which shows an example of the original omnidirectional image using equirectangular projection. (A) It is a figure explaining the state which printed the omnidirectional image after conversion on square origami. (B) It is the figure which showed the origami balloon completed by folding the printed origami according to the predetermined folding order. (A) It is a figure explaining the state which printed the omnidirectional image after conversion on square origami. (B) It is the figure which showed the origami balloon completed by folding the printed origami according to the predetermined folding order. (A) It is a figure explaining the state which printed the omnidirectional image after conversion on square origami. (B) It is the figure which showed the origami balloon completed by folding the printed origami according to the predetermined folding order.

Hereinafter, preferred embodiments of the present invention will be described with reference to the drawings. In addition, this invention is not limited to the following description, In the range which does not deviate from the summary of this invention, it can change suitably.

In the following description, generation of an omnidirectional image suitable for a traditional origami “balloon” (hereinafter referred to as an origami balloon), which is one of the final three-dimensional shapes of origami, will be described. Usually, origami balloons are completed by folding a sheet-like medium made of square paper in a predetermined procedure, and in that process, it is not necessary to cut the sheet-like medium with scissors or to bond it with an adhesive or the like. And the shape at the time of completion of an origami balloon contains a part of a hollow and protrusion, but the whole becomes rounder than a general cube.

Note that the original planar shape corresponding to the completed surface of the origami balloon is a shape unique to origami unlike the general development of a three-dimensional object. For example, even if an origami balloon is regarded as a cube, there are places (in this case, a portion where a square is separated into a plurality of triangles) different from a developed view of a normal cube. Furthermore, there are also portions that do not appear on the surface when the origami balloon is completed (overlapping portions or portions facing back). Note that these elements are factors that make it difficult to generate an omnidirectional image, unlike shapes such as intentional developments and glue margins in paper craft.

[First Embodiment]
FIG. 1 is a block diagram illustrating a configuration of an omnidirectional image generation apparatus 1 according to an embodiment of the present invention. As shown in FIG. 1, the omnidirectional image generation apparatus 1 includes a personal computer 10, a display device 20, a pointing device 30, and a printing device 60.

The omnidirectional image generation apparatus 1 corresponds to an aspect of a computer program product in which an omnidirectional image generation program that implements functions to be described later is installed.

The personal computer 10 includes a multitasking processor and the like, and includes a central control unit 11 that also functions as a vertex setting unit, and a main memory 12 having a built-in volatile storage medium such as a RAM (Random Access Memory) as a temporary storage device. And an image control unit 13 such as a graphic card, an input / output control unit 14, a built-in nonvolatile storage medium 15 such as an HDD (Hard Disk Drive) or a flash memory, and a media read / write interface 16.

The image control unit 13 includes a video memory 13a. Similar to the main memory 12 of the personal computer 10 main body, the video memory 13a temporarily stores data, and the memory provided in the graphic card is also referred to as VRAM (Video RAM). Data that has been processed by the image control unit 13 is temporarily stored in the video memory 13a and used as needed. For example, when 3D graphics is displayed on the display device 20, the amount of data required becomes large. Therefore, in order to display a fine 3D graphics image smoothly and without defects, the video memory 13a has a larger capacity. Is good. In recent years, the speed of VRAM has increased, and a memory standard dedicated to high-speed processing called GDDR (Graphics Double Data Rate) has also appeared, and high-speed transfer of enormous data in three-dimensional graphics drawing has been realized.

The display device 20 is an image display device such as a liquid crystal display, for example. The pointing device 30 is a device that can accept coordinate input and / or button input, such as a mouse, a touch panel, and a pen tablet. The cover device 20 and the pointing device 30 function as a selection unit that accepts the image format of the original omnidirectional image and accepts selection of the type of surface shape corresponding to the surface of the origami balloon as a three-dimensional object at the time of completion. The printing apparatus 60 is an image forming apparatus that includes a print engine such as an ink jet method or an electrophotographic method, and can print a generated omnidirectional image on a sheet-like medium as origami. The shape of the sheet-like medium is not limited to a conventional square, but may be a rectangle such as A4 paper, for example.

The program data 40, the omnidirectional image input data 50, and the coordinate association data 52 are input via the media read / write interface 16, and the omnidirectional image output data 51 is output via the media read / write interface 16.

The program data 40 is software that enables the omnidirectional image generation apparatus according to the present invention, particularly the central control unit 11, to operate, and the omnidirectional image generation program according to the present invention corresponds to this. The program data 40 may be configured to be read from a computer-readable recording medium via the medium read / write interface 16 as described above, or may be recorded in advance in the built-in nonvolatile storage medium 15. May be provided by

The omnidirectional image input data 50 and the omnidirectional image output data 51 are an image group handled by the central control unit 11 that operates based on the program data 40. The omnidirectional image input data 50 according to the present embodiment has a three-dimensional space by being provided with coordinate association data 52 described below. For example, when a polygon model is used as the omnidirectional image, the omnidirectional image input data 50 A texture image group corresponds to the data 50 and the omnidirectional image output data 51. The input texture image group is temporarily stored in the main memory 12. As the omnidirectional image input data 50, a picture created in an omnidirectional image editing apparatus (International Publication Number: WO / 2012/147303) previously filed by the applicant of the present application is used for equirectangular projection and equirectangular azimuth projection. You may use what was produced | generated as an omnidirectional image (In addition, the omnidirectional image input data 50 may be called the original omnidirectional image in the following description.). The omnidirectional image output data 51 is an omnidirectional image suitable for an image formed on the origami balloon surface at the time of completion generated based on the original original omnidirectional image input. As the omnidirectional image output data 51, the omnidirectional image output data 51 may be output to an external recording medium (not shown) in a predetermined file format so that exchange or transfer in units of files is easy. There may be a form in which a printed matter in which the omnidirectional image to be expressed is directly printed on origami by the printing apparatus 60 is provided.

The coordinate association data 52 is based on the type of the surface shape corresponding to the surface of the origami balloon received via the omnidirectional image selection screen described later, and the surface set in the three-dimensional space of the original omnidirectional image. Corresponding components (x, y, z) that represent the direction from the origin (viewpoint) in the three-dimensional space to position coordinates (u, v) on the origami before work for the vertex group that constitutes The table is stored in a storage unit such as the main memory 12 and the built-in nonvolatile storage medium 15. Here, the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet-like medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, The coordinates of the lower vertex are defined and expressed as (8, 8). Note that the coordinate association data 52 may accompany the program data 40 or may read externally defined data. By the way, the coordinate association data 52 can also be applied to coordinate association of an image formed in a conventional image format such as equirectangular projection, equirectangular orientation projection, etc. Is not limited.

Next, an example of a memory map of the main memory 12 used when executing the omnidirectional image generation program according to the present embodiment will be described with reference to FIG.

In this embodiment, each pixel of the input image provided as the omnidirectional image input data 50 and the output image provided as the omnidirectional output image data 51 has a color (r: red, g: green, b: blue). As a two-dimensional array. As an example, a personal computer records the color of one pixel in units of 24 bits (8 bits per color, 8 × 3 = 24 bits for three colors of red, green, and blue). Values such as red, green, and blue are also called “density values”, and 256-bit recording is possible with the 8-bit type. In the case of a gray scale image, it is sufficient to have one density value.

In addition, in the PNG with alpha (32-bit PNG: 32-bit Portable Network Graphics) format, in addition to color information, the opacity of each pixel can be recorded in 256 steps of 8-bit type. An alpha value of zero means completely transparent, 255 means completely opaque. As an example of an application for accurately handling colors in image processing, a format in which density values are expanded to 65536 levels of 16-bit type, a format represented by a floating-point type, or the like may be used.

Next, the operation of the omnidirectional image generation apparatus 1 according to an embodiment of the present invention will be described with reference to the flowcharts of FIGS. 3 and 4 and FIGS. 5, 6, 7, 8, and 9. . FIG. 5 is a diagram for explaining a configuration example of the omnidirectional image selection screen 100 according to the present embodiment. 6 is an example of an original omnidirectional image formed in an image format that can be selected via the omnidirectional image selection screen 100, and FIG. 7 is set in the three-dimensional space of the original omnidirectional image. It is a figure explaining the vertex group which comprises the surface. FIG. 8 is a diagram for explaining the position coordinates of the vertexes on the origami before work. FIG. 9 is a diagram for explaining the generation processing of pixel information located in the plane, and represents the two-dimensional coordinates related to the original omnidirectional image using the equirectangular projection. By the way, at least a part of this series of operations corresponds to the omnidirectional image generation method according to the embodiment of the present invention.

The process described here will be described for the case where the user selects 15 planes having a triangular or quadrangular surface shape and the number of surfaces A0 to A14 as the surface shape type corresponding to the surface of the origami balloon. .

In the omnidirectional image generation device 1, when this omnidirectional image generation program is read from the storage medium, loaded in the main memory 12 and executed by the central control unit 11, the central control unit 11 generates the omnidirectional image generation program. Start processing.

First, in step S10, the central control unit 11 displays the omnidirectional image selection screen 100 shown in FIG. The omnidirectional image selection screen 100 shown in FIG. 5 generates an omnidirectional image 51 ′ suitable for an image formed on the origami balloon surface at the completion from the original omnidirectional image 50 ′ using equirectangular projection. An example in which a series of processing is completed in one window is shown. Specifically, the user designates the file storage position of the original omnidirectional image 50 ′ in the “Import” column in the omnidirectional image selection screen 100, and the original omnidirectional image 50 ′ in the “Made From” column. The image format is selected using the pointing device 30 from the pre-conversion image format selection pull-down menu 101. Here, an example is shown in which the image format of the original omnidirectional image 50 ′ is “Equirectangular: equirectangular projection”. In the “Import” column, for example, the original omnidirectional image 50a ′ in which the image format as shown in FIG. 6A is “AzimuthalEquidistant: equirectangular projection”, as shown in FIG. 6B. Of course, the original omnidirectional image 50b ′, which is a developed view of the image format “Icosahedron: icosahedron”, may be selected.

Next, the user designates the image format of the converted omnidirectional image 51 ′ from the converted image format selection pull-down menu 102 in the “Panorama Type” column. Here, an example of “Origami Balloon A_Top” is shown when the surface shape is a triangle or a quadrangle as the type of the surface shape after conversion and 15 surfaces having the number of surfaces A0 to A14 are selected. Note that “Top” following “OrigamiBalloonA_” is selected when generating the omnidirectional image 51 ′ with the hole portion of the origami balloon at the top being the top, and similarly, “Horizontal” "Bottom" is selected when generating an omnidirectional image 51 'in which the hole portion of the origami balloon is in the horizontal direction, and "Bottom" is the omnidirectional image 51' in which the hole portion of the origami balloon is completed at the bottom. is there.

The user can generate the converted omnidirectional image 51 ′ by designating the converted data storage position in the “Export” field and pressing the “OK” button. In addition, when the image format of the original omnidirectional image 50 ′ is automatically determined by predetermined image recognition or limited to one type, and the image format of the converted omnidirectional image 51 ′ is limited to one type, It is not necessary for the user to select each of them. Furthermore, the original omnidirectional image 50 ′ file and the converted omnidirectional image 51 ′ file may be automatically determined according to a predetermined rule. For example, a storage position existing in a predetermined folder may be specified as a file storage position of the original omnidirectional image, and a character string with a suffix added to the storage position may be specified as a storage position of the converted omnidirectional image. . In this case, it is possible to proceed to step S11 without displaying the omnidirectional image selection screen 100 on the display device 20. This is suitable for implementation in an environment where a simple procedure is preferred, such as when the personal computer 10 is a smartphone, or when batch conversion of a large number of omnidirectional images.

Hereinafter, the internal processing from when the type of the surface shape corresponding to the surface of the origami balloon is selected by the user until the converted omnidirectional image is generated will be described with reference to the flowcharts of FIGS.

In step S10, when the surface shape corresponding to the surface of the origami balloon is selected by the user as “Origami Balloon A_Top”, the surface shape is a triangle or a quadrangle and the number of surfaces is A0 to A14, the central controller 11 defines surfaces A0 to A14 corresponding to the respective surfaces of the origami balloon shown below, selects all the surfaces related to the defined surface list (step S11 branches to No, step S12), and FIG. As shown in FIG. 5, all vertices relating to the surface selected in step S12 are set. Each surface is formed of a triangle or a quadrangle.

A0: (a0-a4-a1)
A1: (a1 -a4 -a5 -a2)
A2: (a2 -a5 -a3)
A3: (a4 -a6 -a8)
A4: (a4 -a8 -a9 -a5)
A5: (a5-a9-a7)
A6: (a8-a10-a12)
A7: (a8-a12-a13-a9)
A8: (a9-a13-a11)
A9: (a12-a14-a16)
A10: (a12-a16-a17-a13)
A11: (a13-a17-a15)
A12: (a16-a18-a19)
A13: (a16-a19-a20-a17)
A14: (a17-a20-a21)

Then, the central control unit 11 reads out the coordinate association data 52 shown below from the storage unit such as the main memory 12 and the built-in nonvolatile storage medium 15, and from the origin (viewpoint) in the three-dimensional space with respect to the vertex group. The component (x, y, z) representing the direction as a vector is associated with the position coordinates (u, v) on the origami before the work (branch to step S13, step S14, step S15, FIG. 8).

a0: (-1, 0, 0) (2, 0)
a1: (-1, 1, 0) (3, 0)
a2: (1, 1, 0) (5, 0)
a3: (1, 0, 0) (6, 0)
a4: (-1, 1, 1) (3, 1)
a5: (1, 1, 1) (5, 1)
a6: (-1, 0, 0) (2, 2)
a7: (1, 0, 0) (6, 2)
a8: (-1, -1, 1) (3, 3)
a9: (1, -1, 1) (5, 3)
a10: (-1, 0, 0) (2, 4)
a11: (1, 0, 0) (6, 4)
a12: (-1, -1, -1) (3, 5)
a13: (1, -1, -1) (5,5)
a14: (-1, 0, 0) (2, 6)
a15: (1, 0, 0) (6, 6)
a16: (-1, 1, -1) (3, 7)
a17: (1, 1, -1) (5, 7)
a18: (-1, 0, 0) (2, 8)
a19: (-1, 1, 0) (3, 8)
a20: (1, 1, 0) (5, 8)
a21: (1, 0, 0) (6, 8)

Since the component (x, y, z) is a vector for expressing a direction, it is important to maintain the ratio (x: y: z) between the axes, but the magnitude (origin) It is not essential that the distance is maintained. Further, the range “0 to 8” of the position coordinates (u, v) may be normalized to “0.0 to 1.0” when implemented using the texture of the polygon model.

In addition, regarding the component (x, y, z) and the position coordinates (u, v), arbitrary rotation or inversion may be performed within a range in which the positional relationship (that is, similarity) of each vertex is maintained. Further, with respect to the component (x, y, z) and the position coordinates (u, v), a small amount of coordinates can be set for an arbitrary coordinate group for the purpose of correcting the positional deviation of the omnidirectional image generated when the origami balloon is completed due to the thickness of the origami. Adjustment (for example, change of ± 15 degree range with respect to (x, y, z) direction or ± 0.5 with respect to (0, 8, 0 to 8) of position coordinates (u, v) You may change the range).

Note that the definition of the position coordinates (u, v) can be changed as long as the original planar shape of the origami balloon is similar. Further, when mounting using the texture of the polygon model, a quadrilateral that is one of the surface shapes may be divided into two triangles. In this case, for example, the surface A1 can be divided into (a1-a4-a5) and (a1-a5-a2).

Next, the central control unit 11 selects all pixels surrounded by the vertex group related to the selected surface in the converted omnidirectional image 51 ′ (step S16, branch to No, step S17), and the acquired vertex group The direction (vector) is calculated using the coordinates of the selected pixel and the coordinates of the selected pixel (step S18), and pixel information of the converted omnidirectional image 51 ′ is generated using the obtained direction (step S19).

Here, the flowchart shown in FIG. 4 explains the operation in step S19 in FIG. In step S18 of FIG. 3, the central control unit 11 calculates the coordinates in the original omnidirectional image 50 ′ based on the direction calculated using the coordinates of the acquired vertex group and the coordinates of the selected pixel ( Step S20).

Next, the central control unit 11 acquires pixel information of the original omnidirectional image 50 ′ based on the coordinates calculated in step S20 (step S21), and converts the omnidirectional image 51 after conversion based on the acquired pixel information. 'Is generated (step S22), and the process returns.

Note that the processing in steps S16 to S19 in FIG. 3 (steps S20 to S22 in FIG. 4) is performed, for example, when converting an original omnidirectional image using equirectangular projection, as shown in FIG. This can be realized by combining cylindrical transformation and projective transformation.

In this way, an omnidirectional image 51a ′ suitable for an image formed on the origami balloon surface upon completion as shown in FIG. 10 is generated from the original omnidirectional image 50 ′ using equirectangular projection. be able to. Note that the image generated in the present embodiment is an omnidirectional image, but is not the entire range of origami (square). For this reason, in addition to the generated omnidirectional image, it is desirable to add trim marks or the like representing the four corners of the origami.

Alternatively, at the time of machining, a crease may be formed on each of the straight line a0-a3, the straight line a18-a21, the straight line a6-a15, and the straight line a7-a14, and the four corners of the origami may be derived from these intersections. By using this, an unnecessary area is cut off or the sheet-like medium of the origami balloon can be made square by folding the sheet-like medium on the opposite side of the printing surface.

[Second Embodiment]
In the second embodiment, generation of an omnidirectional image that maintains three-dimensional continuity without depending on the direction of folding origami will be described. In the second embodiment, in addition to the first embodiment, the definition of vertices is improved so that the image layout at the time of completion is correct even when the origami is started to be folded after being rotated 90 degrees. It is.

Also in the second embodiment, as in the first embodiment, in step S10 in FIG. 3, the surface shape corresponding to the surface of the origami balloon is a triangle or a quadrangle, and the number of surfaces is B0. When the 25 “Origami Balloon B_Top” consisting of B24 to B24 is selected by the user, the central control unit 11 defines the following surfaces B0 to B24 corresponding to the respective surfaces of the origami balloon and relates to the list of defined surfaces All the faces are selected (step S11: branch to No, step S12), and as shown in FIG. 11, all vertices related to the face selected in step S12 are set. Each surface is formed of a triangle or a quadrangle.

B0: (b0-b4-b1)
B1: (b1-b4-b5-b2)
B2: (b2-b5-b3)
B3: (b4 -b6 -b14)
B4: (b4-b14-b15-b5)
B5: (b5-b15-b7)
B6: (b8-b12-b13)
B7: (b9-b13-b14)
B8: (b10-b15-b16)
B9: (b11-b16-b17)
B10: (b12-b18-b19-b13)
B11: (b13-b19-b20-b14)
B12: (b14-b20-b21-b15)
B13: (b15-b21-b22-b16)
B14: (b16-b22-b23-b17)
B15: (b18-b24-b19)
B16: (b19-b25-b20)
B17: (b21-b26-b22)
B18: (b22-b27-b23)
B19: (b20-b28-b30)
B20: (b20-b30-b31-b21)
B21: (b21-b31-b29)
B22: (b30-b32-b33)
B23: (b30-b33-b34-b31)
B24: (b31-b34-b35)

Then, the central control unit 11 reads out the coordinate association data 52 shown below from the storage unit such as the main memory 12 and the built-in nonvolatile storage medium 15, and from the origin (viewpoint) in the three-dimensional space with respect to the vertex group. The component (x, y, z) whose direction is represented by a vector is associated with the position coordinates (u, v) on the origami before the work (branch to step S13, step S14, step S15, FIG. 12).

b0: (-1, 0, 0) (2, 0)
b1: (-1, 1, 0) (3, 0)
b2: (1, 1, 0) (5, 0)
b3: (1, 0, 0) (6, 0)
b4: (-1, 1, 1) (3, 1)
b5: (1, 1, 1) (5, 1)
b6: (-1, 0, 0) (2, 2)
b7: (1, 0, 0) (6, 2)
b8: (0, 0, 1) (0, 2)
b9: (0, 0, 1) (2, 2)
b10: (0, 0, 1) (6, 2)
b11: (0, 0, 1) (8, 2)
b12: (0, 1, 1) (0, 3)
b13: (-1, 1, 1) (1, 3)
b14: (-1, -1, 1) (3, 3)
b15: (1, -1, 1) (5,3)
b16: (1, 1, 1) (7, 3)
b17: (0, 1, 1) (8, 3)
b18: (0, 1, -1) (0, 5)
b19: (-1, 1, -1) (1, 5)
b20: (-1, -1, -1) (3, 5)
b21: (1, -1, -1) (5,5)
b22: (1, 1, -1) (7, 5)
b23: (0, 1, -1) (8, 5)
b24: (0, 0, -1) (0, 6)
b25: (0, 0, -1) (2, 6)
b26: (0, 0, -1) (6, 6)
b27: (0, 0, -1) (8, 6)
b28: (-1, 0, 0) (2, 6)
b29: (1, 0, 0) (6, 6)
b30: (-1, 1, -1) (3, 7)
b31: (1, 1, -1) (5, 7)
b32: (-1, 0, 0) (2, 8)
b33: (-1, 1, 0) (3, 8)
b34: (1, 1, 0) (5, 8)
b35: (1, 0, 0) (6, 8)

In addition, since the process after step S16 of FIG. 3 which concerns on this embodiment can be performed similarly to 1st Embodiment, description here is abbreviate | omitted.

In this way, an omnidirectional image 51b ′ suitable for an image formed on the surface of the origami balloon upon completion as shown in FIG. 13 is generated from the original omnidirectional image 50 ′ using equirectangular projection. be able to. Note that the image generated in the present embodiment is an omnidirectional image, but is not the entire range of origami (square). For this reason, in addition to the generated omnidirectional image, it is desirable to add trim marks or the like representing the four corners of the origami.

Alternatively, at the time of machining, a crease may be formed on each of the straight line b0-b3, the straight line b8-b24, the straight line b11-b27, and the straight line b32-b35, and the four corners of the origami may be derived from these intersection points. By using this, an unnecessary area is cut off or the sheet-like medium of the origami balloon can be made square by folding the sheet-like medium on the opposite side of the printing surface.

[Third Embodiment]
In the third embodiment, generation of an omnidirectional image that reduces the blank space that may be generated by work will be described. In the third embodiment, in addition to the second embodiment, an appropriate image can be compensated for a portion where a blank space may be generated when the origami balloon is completed (near the portion where the origami overlaps when the origami balloon is completed). The definition of vertices is improved.

Also in the third embodiment, as in the first embodiment, in step S10 of FIG. 3, as the type of surface shape corresponding to the surface of the origami balloon, the surface shape is a triangle or a quadrangle, and the number of surfaces is C0. When the user selects “Origami Balloon C_Top”, which is a 41-plane consisting of C40 to C40, the central control unit 11 defines the following planes C0 to C40 corresponding to the respective surfaces of the origami balloon, and relates to the list of defined planes. All the faces are selected (step S11: branch to No, step S12), and as shown in FIG. 14, all vertices related to the face selected in step S12 are set. Each surface is formed of a triangle or a quadrangle.

C0: (c0-c16-c12)
C1: (c1-c12-c2)
C2: (c2-c12-c3)
C3: (c4-c12-c13-c5)
C4: (c5-c13-c14-c6)
C5: (c6-c14-c15-c7)
C6: (c8-c15-c9)
C7: (c9-c15-c10)
C8: (c11-c15-c21)
C9: (c16-c22-c12)
C10: (c12-c23-c26-c27)
C11: (c17-c27-c28)
C12: (c18-c28-c13)
C13: (c13-c28-c29-c14)
C14: (c14-c29-c19)
C15: (c20-c29-c30)
C16: (c15-c30-c31-c24)
C17: (c15-c25-c21)
C18: (c26-c32-c33-c27)
C19: (c27-c33-c34-c28)
C20: (c28-c34-c35-c29)
C21: (c29-c35-c36-c30)
C22: (c30-c36-c37-c31)
C23: (c38-c42-c48)
C24: (c32-c39-c48-c33)
C25: (c33-c43-c34)
C26: (c34-c44-c49)
C27: (c34-c49-c50-c35)
C28: (c35-c50-c45)
C29: (c35-c46-c36)
C30: (c36-c51-c40-c37)
C31: (c41-c51-c47)
C32: (c42-c52-c48)
C33: (c48-c53-c54)
C34: (c48-c54-c55)
C35: (c48-c56-c57-c49)
C36: (c49-c57-c58-c50)
C37: (c50-c58-c59-c51)
C38: (c51-c60-c61)
C39: (c51-c61-c62)
C40: (c51-c63-c47)

Then, the central control unit 11 reads out the coordinate association data 52 shown below from the storage unit such as the main memory 12 and the built-in nonvolatile storage medium 15, and from the origin (viewpoint) in the three-dimensional space with respect to the vertex group. The component (x, y, z) representing the direction as a vector is associated with the position coordinates (u, v) on the origami before work (step S13, branch to No, step S14, step S15, FIG. 15).

c0: (0, 0, 1) (0, 0)
c1: (-1, 0, 0) (0, 0)
c2: (-1, 0, 1) (1, 0)
c3: (0, 0, 1) (2, 0)
c4: (-1, 0, 0) (2, 0)
c5: (-1, 1, 0) (3, 0)
c6: (1, 1, 0) (5, 0)
c7: (1, 0, 0) (6, 0)
c8: (0, 0, 1) (6, 0)
c9: (1, 0, 1) (7, 0)
c10: (1, 0, 0) (8, 0)
c11: (0, 0, 1) (8, 0)
c12: (-1, -1, 1) (1, 1)
c13: (-1, 1, 1) (3, 1)
c14: (1, 1, 1) (5, 1)
c15: (1, -1, 1) (7, 1)
c16: (-1, 0, 1) (0, 1)
c17: (1, 1, 1) (1, 1)
c18: (-1, 1, -1) (1, 1)
c19: (1, 1, -1) (7, 1)
c20: (-1, 1, 1) (7, 1)
c21: (1, 0, 1) (8, 1)
c22: (-1, 0, 0) (0, 2)
c23: (0, 0, 1) (0, 2)
c24: (0, 0, 1) (8, 2)
c25: (1, 0, 0) (8, 2)
c26: (0, 1, 1) (0, 3)
c27: (-1, 1, 1) (1, 3)
c28: (-1, -1, 1) (3, 3)
c29: (1, -1, 1) (5,3)
c30: (1, 1, 1) (7, 3)
c31: (0, 1, 1) (8, 3)
c32: (0, 1, -1) (0, 5)
c33: (-1, 1, -1) (1, 5)
c34: (-1, -1, -1) (3, 5)
c35: (1, -1, -1) (5,5)
c36: (1, 1, -1) (7, 5)
c37: (0, 1, -1) (8, 5)
c38: (-1, 0, 0) (0, 6)
c39: (0, 0, -1) (0, 6)
c40: (0, 0, -1) (8, 6)
c41: (1, 0, 0) (8, 6)
c42: (-1, 0, -1) (0, 7)
c43: (1, 1, -1) (1, 7)
c44: (-1, 1, 1) (1, 7)
c45: (1, 1, 1) (7, 7)
c46: (-1, 1, -1) (7, 7)
c47: (1, 0, -1) (8, 7)
c48: (-1, -1, -1) (1, 7)
c49: (-1, 1, -1) (3, 7)
c50: (1, 1, -1) (5, 7)
c51: (1, -1, -1) (7,7)
c52: (0, 0, -1) (0, 8)
c53: (-1, 0, 0) (0, 8)
c54: (-1, 0, -1) (1, 8)
c55: (0, 0, -1) (2, 8)
c56: (-1, 0, 0) (2, 8)
c57: (-1, 1, 0) (3, 8)
c58: (1, 1, 0) (5, 8)
c59: (1, 0, 0) (6, 8)
c60: (0, 0, -1) (6, 8)
c61: (1, 0, -1) (7, 8)
c62: (1, 0, 0) (8, 8)
c63: (0, 0, -1) (8, 8)

In this manner, an omnidirectional image 51 ′ suitable for an image formed on the surface of the origami balloon when completed can be generated from the original omnidirectional image 50 ′ using the equirectangular projection. Note that the omnidirectional image generated in the present embodiment is the entire range of origami (square) unless the position coordinates (u, v) are arbitrarily moved.

Using this, the original origami of the origami balloon can be made square by cutting out unnecessary areas or folding origami on the opposite side of the printing surface.

Next, as an example to which the third embodiment is applied, an original omnidirectional image using equirectangular projection is converted into an omnidirectional image suitable for an origami balloon, and an origami balloon is converted from a printed square origami. The state of completion will be described.

FIG. 16 is a diagram illustrating an example of an original omnidirectional image using equirectangular projection, that is, an image before conversion, in which the upper part of the image represents the sky and the lower part represents the ground.

The original omnidirectional image shown in FIG. 16 is generated by the user selecting “OrigamiBallonC_Top” in the “Panarama Type” column of the omnidirectional image selection screen 100 shown in FIG. 5 and pressing the “OK” button. FIG. 17A shows a state in which the converted omnidirectional image is printed on a square origami. FIG. 17B shows an origami balloon completed by folding the printed origami according to a predetermined folding order. As shown in FIG. 17B, in this example, it can be seen that the hole portion of the origami balloon when completed is the upper part.

The original omnidirectional image shown in FIG. 16 is generated when “OrigamiBallonC_Horizontal” is selected by the user in the “Panarama Type” column of the omnidirectional image selection screen 100 shown in FIG. 5 and the “OK” button is pressed. FIG. 18A shows a state in which the converted omnidirectional image is printed on a square origami. FIG. 18B shows an origami balloon completed by folding the printed origami according to a predetermined folding order. As shown in FIG. 18B, in this example, a vector representing the direction from the origin of the three-dimensional space with respect to the vertices constituting each surface so that the hole portion of the origami balloon at the time of completion is in the horizontal direction. (X, y, z) is defined by rotation, and the folding paper on which the omnidirectional image obtained by the conversion is printed is started to be folded in a state of being rotated by 90 degrees and completed.

The original omnidirectional image shown in FIG. 16 is generated by the user selecting “OrigamiBallonC_Bottom” in the “Panarama Type” column of the omnidirectional image selection screen 100 shown in FIG. 5 and pressing the “OK” button. FIG. 19A shows a state in which the converted omnidirectional image is printed on a square origami. FIG. 19B shows an origami balloon completed by folding the printed origami according to a predetermined folding order. As shown in FIG. 19B, in this example, a vector (3) representing the direction from the origin of the three-dimensional space with respect to the vertices constituting each surface so that the hole portion of the origami balloon when completed is at the bottom. x, y, z) are rotated and defined, and the origami on which the omnidirectional image obtained by the conversion is printed is folded and completed.

In any of the examples shown in FIGS. 17 to 19, it can be seen that there is no blank near the place where the origami overlaps when the origami balloon is completed, and that the omnidirectional image in the appropriate direction is compensated on the surface of the origami balloon. .

As described above, according to an embodiment of the present invention, an omnidirectional image generation apparatus, an omnidirectional image generation method, and an omnidirectional image that can realize generation of an omnidirectional image suitable for origami that can be easily worked. A generation program can be provided.

DESCRIPTION OF SYMBOLS 1 Omnidirectional image generation apparatus 10 Personal computer 11 Central control part 12 Main memory 13 Image control part 13a Video memory 14 Input / output control part 15 Built-in non-volatile storage medium 16 Media read / write interface 20 Display device 30 Pointing device 40 Program data 50 All Orientation image input data 50 ', 50a', 50b 'Original omnidirectional image 51 Omnidirectional image output data 51', 51a ', 51b' Omnidirectional image suitable for origami balloons 52 Coordinate mapping data 60 Printing device 100 Omnidirectional Image selection screen 101 Image format selection pull-down menu before conversion 102 Image format selection pull-down menu after conversion

Claims

An omnidirectional image generating device that generates an omnidirectional image formed on a surface of a three-dimensional object completed by folding a sheet-like medium according to a predetermined folding order from an original omnidirectional image,
A central control unit;
A vertex setting unit for providing a vertex group constituting a surface corresponding to the surface of the three-dimensional object in the three-dimensional space of the original omnidirectional image;
A storage unit for storing coordinate information that associates a vector representing a direction from the origin of the three-dimensional space with respect to each vertex and a position coordinate on the sheet-like medium;
The omnidirectional image generation apparatus, wherein the central control unit generates pixel information located in each plane based on the coordinate information read from the storage unit.
The omnidirectional image generating apparatus according to claim 1, wherein the sheet-like medium is origami, and the three-dimensional object that is completed by folding the origami according to a predetermined folding order is an origami balloon.
When the surface shape is a triangle or a quadrangle and the number of surfaces is 15 surfaces consisting of A0 to A14, the vertex group is a0 to a21, and a vector representing the direction from the origin of the three-dimensional space is a component (x, y, z), the position coordinates (u, v) on the sheet-like medium,
A0: (a0-a4-a1)
A1: (a1 -a4 -a5 -a2)
A2: (a2 -a5 -a3)
A3: (a4 -a6 -a8)
A4: (a4 -a8 -a9 -a5)
A5: (a5-a9-a7)
A6: (a8-a10-a12)
A7: (a8-a12-a13-a9)
A8: (a9-a13-a11)
A9: (a12-a14-a16)
A10: (a12-a16-a17-a13)
A11: (a13-a17-a15)
A12: (a16-a18-a19)
A13: (a16-a19-a20-a17)
A14: (a17-a20-a21)
a0: (-1, 0, 0) (2, 0)
a1: (-1, 1, 0) (3, 0)
a2: (1, 1, 0) (5, 0)
a3: (1, 0, 0) (6, 0)
a4: (-1, 1, 1) (3, 1)
a5: (1, 1, 1) (5, 1)
a6: (-1, 0, 0) (2, 2)
a7: (1, 0, 0) (6, 2)
a8: (-1, -1, 1) (3, 3)
a9: (1, -1, 1) (5, 3)
a10: (-1, 0, 0) (2, 4)
a11: (1, 0, 0) (6, 4)
a12: (-1, -1, -1) (3, 5)
a13: (1, -1, -1) (5,5)
a14: (-1, 0, 0) (2, 6)
a15: (1, 0, 0) (6, 6)
a16: (-1, 1, -1) (3, 7)
a17: (1, 1, -1) (5, 7)
a18: (-1, 0, 0) (2, 8)
a19: (-1, 1, 0) (3, 8)
a20: (1, 1, 0) (5, 8)
a21: (1, 0, 0) (6, 8)
The omnidirectional image generation apparatus according to claim 2, wherein the relationship is satisfied.
(Note that the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet-like medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, (The coordinates of the lower vertex are defined as (8, 8).)
The omnidirectional image generation apparatus according to claim 3, further comprising a selection unit that receives an image format of the original omnidirectional image.
The omnidirectional image generation apparatus according to claim 4, wherein the selection unit receives selection of a surface shape type corresponding to the surface of the three-dimensional object at the time of completion.
When the surface shape is a triangle or a quadrangle and the number of surfaces is 25 surfaces consisting of B0 to B24, the vertex groups are b0 to b35, and a vector representing the direction from the origin of the three-dimensional space is a component (x, y, z), the position coordinates (u, v) on the sheet-like medium,
B0: (b0-b4-b1)
B1: (b1-b4-b5-b2)
B2: (b2-b5-b3)
B3: (b4 -b6 -b14)
B4: (b4-b14-b15-b5)
B5: (b5-b15-b7)
B6: (b8-b12-b13)
B7: (b9-b13-b14)
B8: (b10-b15-b16)
B9: (b11-b16-b17)
B10: (b12-b18-b19-b13)
B11: (b13-b19-b20-b14)
B12: (b14-b20-b21-b15)
B13: (b15-b21-b22-b16)
B14: (b16-b22-b23-b17)
B15: (b18-b24-b19)
B16: (b19-b25-b20)
B17: (b21-b26-b22)
B18: (b22-b27-b23)
B19: (b20-b28-b30)
B20: (b20-b30-b31-b21)
B21: (b21-b31-b29)
B22: (b30-b32-b33)
B23: (b30-b33-b34-b31)
B24: (b31-b34-b35)
b0: (-1, 0, 0) (2, 0)
b1: (-1, 1, 0) (3, 0)
b2: (1, 1, 0) (5, 0)
b3: (1, 0, 0) (6, 0)
b4: (-1, 1, 1) (3, 1)
b5: (1, 1, 1) (5, 1)
b6: (-1, 0, 0) (2, 2)
b7: (1, 0, 0) (6, 2)
b8: (0, 0, 1) (0, 2)
b9: (0, 0, 1) (2, 2)
b10: (0, 0, 1) (6, 2)
b11: (0, 0, 1) (8, 2)
b12: (0, 1, 1) (0, 3)
b13: (-1, 1, 1) (1, 3)
b14: (-1, -1, 1) (3, 3)
b15: (1, -1, 1) (5,3)
b16: (1, 1, 1) (7, 3)
b17: (0, 1, 1) (8, 3)
b18: (0, 1, -1) (0, 5)
b19: (-1, 1, -1) (1, 5)
b20: (-1, -1, -1) (3, 5)
b21: (1, -1, -1) (5,5)
b22: (1, 1, -1) (7, 5)
b23: (0, 1, -1) (8, 5)
b24: (0, 0, -1) (0, 6)
b25: (0, 0, -1) (2, 6)
b26: (0, 0, -1) (6, 6)
b27: (0, 0, -1) (8, 6)
b28: (-1, 0, 0) (2, 6)
b29: (1, 0, 0) (6, 6)
b30: (-1, 1, -1) (3, 7)
b31: (1, 1, -1) (5, 7)
b32: (-1, 0, 0) (2, 8)
b33: (-1, 1, 0) (3, 8)
b34: (1, 1, 0) (5, 8)
b35: (1, 0, 0) (6, 8)
The omnidirectional image generation apparatus according to claim 2, wherein the relationship is satisfied.
(Note that the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet-like medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, (The coordinates of the lower vertex are defined as (8, 8).)
The omnidirectional image generation apparatus according to claim 6, further comprising a selection unit that receives an image format of the original omnidirectional image.
The omnidirectional image generation apparatus according to claim 7, wherein the selection unit receives selection of a surface shape type corresponding to the surface of the three-dimensional object at the time of completion.
When the surface shape is a triangle or a quadrangle and the number of surfaces is 41 surfaces consisting of C0 to C40, the vertex groups are c0 to c63, and a vector representing the direction from the origin of the three-dimensional space is a component (x, y, z), the position coordinates (u, v) on the sheet-like medium,
C0: (c0-c16-c12)
C1: (c1-c12-c2)
C2: (c2-c12-c3)
C3: (c4-c12-c13-c5)
C4: (c5-c13-c14-c6)
C5: (c6-c14-c15-c7)
C6: (c8-c15-c9)
C7: (c9-c15-c10)
C8: (c11-c15-c21)
C9: (c16-c22-c12)
C10: (c12-c23-c26-c27)
C11: (c17-c27-c28)
C12: (c18-c28-c13)
C13: (c13-c28-c29-c14)
C14: (c14-c29-c19)
C15: (c20-c29-c30)
C16: (c15-c30-c31-c24)
C17: (c15-c25-c21)
C18: (c26-c32-c33-c27)
C19: (c27-c33-c34-c28)
C20: (c28-c34-c35-c29)
C21: (c29-c35-c36-c30)
C22: (c30-c36-c37-c31)
C23: (c38-c42-c48)
C24: (c32-c39-c48-c33)
C25: (c33-c43-c34)
C26: (c34-c44-c49)
C27: (c34-c49-c50-c35)
C28: (c35-c50-c45)
C29: (c35-c46-c36)
C30: (c36-c51-c40-c37)
C31: (c41-c51-c47)
C32: (c42-c52-c48)
C33: (c48-c53-c54)
C34: (c48-c54-c55)
C35: (c48-c56-c57-c49)
C36: (c49-c57-c58-c50)
C37: (c50-c58-c59-c51)
C38: (c51-c60-c61)
C39: (c51-c61-c62)
C40: (c51-c63-c47)
c0: (0, 0, 1) (0, 0)
c1: (-1, 0, 0) (0, 0)
c2: (-1, 0, 1) (1, 0)
c3: (0, 0, 1) (2, 0)
c4: (-1, 0, 0) (2, 0)
c5: (-1, 1, 0) (3, 0)
c6: (1, 1, 0) (5, 0)
c7: (1, 0, 0) (6, 0)
c8: (0, 0, 1) (6, 0)
c9: (1, 0, 1) (7, 0)
c10: (1, 0, 0) (8, 0)
c11: (0, 0, 1) (8, 0)
c12: (-1, -1, 1) (1, 1)
c13: (-1, 1, 1) (3, 1)
c14: (1, 1, 1) (5, 1)
c15: (1, -1, 1) (7, 1)
c16: (-1, 0, 1) (0, 1)
c17: (1, 1, 1) (1, 1)
c18: (-1, 1, -1) (1, 1)
c19: (1, 1, -1) (7, 1)
c20: (-1, 1, 1) (7, 1)
c21: (1, 0, 1) (8, 1)
c22: (-1, 0, 0) (0, 2)
c23: (0, 0, 1) (0, 2)
c24: (0, 0, 1) (8, 2)
c25: (1, 0, 0) (8, 2)
c26: (0, 1, 1) (0, 3)
c27: (-1, 1, 1) (1, 3)
c28: (-1, -1, 1) (3, 3)
c29: (1, -1, 1) (5,3)
c30: (1, 1, 1) (7, 3)
c31: (0, 1, 1) (8, 3)
c32: (0, 1, -1) (0, 5)
c33: (-1, 1, -1) (1, 5)
c34: (-1, -1, -1) (3, 5)
c35: (1, -1, -1) (5,5)
c36: (1, 1, -1) (7, 5)
c37: (0, 1, -1) (8, 5)
c38: (-1, 0, 0) (0, 6)
c39: (0, 0, -1) (0, 6)
c40: (0, 0, -1) (8, 6)
c41: (1, 0, 0) (8, 6)
c42: (-1, 0, -1) (0, 7)
c43: (1, 1, -1) (1, 7)
c44: (-1, 1, 1) (1, 7)
c45: (1, 1, 1) (7, 7)
c46: (-1, 1, -1) (7, 7)
c47: (1, 0, -1) (8, 7)
c48: (-1, -1, -1) (1, 7)
c49: (-1, 1, -1) (3, 7)
c50: (1, 1, -1) (5, 7)
c51: (1, -1, -1) (7,7)
c52: (0, 0, -1) (0, 8)
c53: (-1, 0, 0) (0, 8)
c54: (-1, 0, -1) (1, 8)
c55: (0, 0, -1) (2, 8)
c56: (-1, 0, 0) (2, 8)
c57: (-1, 1, 0) (3, 8)
c58: (1, 1, 0) (5, 8)
c59: (1, 0, 0) (6, 8)
c60: (0, 0, -1) (6, 8)
c61: (1, 0, -1) (7, 8)
c62: (1, 0, 0) (8, 8)
c63: (0, 0, -1) (8, 8)
The omnidirectional image generation apparatus according to claim 2, wherein the relationship is satisfied.
(Note that the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet-like medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, (The coordinates of the lower vertex are defined as (8, 8).)
The omnidirectional image generation apparatus according to claim 9, further comprising a selection unit that receives an image format of an original omnidirectional image.
The omnidirectional image generation apparatus according to claim 10, wherein the selection unit receives selection of a surface shape type corresponding to the surface of the three-dimensional object at the time of completion.
The omnidirectional image generation apparatus according to claim 1, further comprising: a printing unit that prints an omnidirectional image on the sheet-like medium based on the generated pixel information.
A generation method for generating an omnidirectional image formed on a surface of a three-dimensional object completed by folding a sheet-like medium according to a predetermined folding order from an original omnidirectional image,
A vertex setting step for providing a vertex group constituting a surface corresponding to the surface of the three-dimensional object in the three-dimensional space of the original omnidirectional image;
Associating a vector representing a direction from the origin of the three-dimensional space with each vertex and a position coordinate on the sheet-like medium;
An omnidirectional image generation method comprising: a generation step of generating pixel information located in each plane based on coordinate information associated with each vertex.
The omnidirectional image generation method according to claim 13, wherein the sheet-like medium is origami, and the three-dimensional object completed by folding the origami according to a predetermined folding order is an origami balloon.
When the surface shape is a triangle or a quadrangle and the number of surfaces is 15 surfaces consisting of A0 to A14, the vertex group is a0 to a21, and a vector representing the direction from the origin of the three-dimensional space is a component (x, y, z), the position coordinates (u, v) on the sheet-like medium,
A0: (a0-a4-a1)
A1: (a1 -a4 -a5 -a2)
A2: (a2 -a5 -a3)
A3: (a4 -a6 -a8)
A4: (a4 -a8 -a9 -a5)
A5: (a5-a9-a7)
A6: (a8-a10-a12)
A7: (a8-a12-a13-a9)
A8: (a9-a13-a11)
A9: (a12-a14-a16)
A10: (a12-a16-a17-a13)
A11: (a13-a17-a15)
A12: (a16-a18-a19)
A13: (a16-a19-a20-a17)
A14: (a17-a20-a21)
a0: (-1, 0, 0) (2, 0)
a1: (-1, 1, 0) (3, 0)
a2: (1, 1, 0) (5, 0)
a3: (1, 0, 0) (6, 0)
a4: (-1, 1, 1) (3, 1)
a5: (1, 1, 1) (5, 1)
a6: (-1, 0, 0) (2, 2)
a7: (1, 0, 0) (6, 2)
a8: (-1, -1, 1) (3, 3)
a9: (1, -1, 1) (5, 3)
a10: (-1, 0, 0) (2, 4)
a11: (1, 0, 0) (6, 4)
a12: (-1, -1, -1) (3, 5)
a13: (1, -1, -1) (5,5)
a14: (-1, 0, 0) (2, 6)
a15: (1, 0, 0) (6, 6)
a16: (-1, 1, -1) (3, 7)
a17: (1, 1, -1) (5, 7)
a18: (-1, 0, 0) (2, 8)
a19: (-1, 1, 0) (3, 8)
a20: (1, 1, 0) (5, 8)
a21: (1, 0, 0) (6, 8)
The omnidirectional image generation method according to claim 14, wherein the relationship is satisfied.
(Note that the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet-like medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, (The coordinates of the lower vertex are defined as (8, 8).)
The omnidirectional image generation method according to claim 15, further comprising a selection step of receiving an image format of the original omnidirectional image.
The method for generating an omnidirectional image according to claim 16, wherein in the selection step, selection of a surface shape type corresponding to the surface of the three-dimensional object at the time of completion is accepted.
When the surface shape is a triangle or a quadrangle and the number of surfaces is 25 surfaces consisting of B0 to B24, the vertex groups are b0 to b35, and a vector representing the direction from the origin of the three-dimensional space is a component (x, y, z), the position coordinates (u, v) on the sheet-like medium,
B0: (b0-b4-b1)
B1: (b1-b4-b5-b2)
B2: (b2-b5-b3)
B3: (b4 -b6 -b14)
B4: (b4-b14-b15-b5)
B5: (b5-b15-b7)
B6: (b8-b12-b13)
B7: (b9-b13-b14)
B8: (b10-b15-b16)
B9: (b11-b16-b17)
B10: (b12-b18-b19-b13)
B11: (b13-b19-b20-b14)
B12: (b14-b20-b21-b15)
B13: (b15-b21-b22-b16)
B14: (b16-b22-b23-b17)
B15: (b18-b24-b19)
B16: (b19-b25-b20)
B17: (b21-b26-b22)
B18: (b22-b27-b23)
B19: (b20-b28-b30)
B20: (b20-b30-b31-b21)
B21: (b21-b31-b29)
B22: (b30-b32-b33)
B23: (b30-b33-b34-b31)
B24: (b31-b34-b35)
b0: (-1, 0, 0) (2, 0)
b1: (-1, 1, 0) (3, 0)
b2: (1, 1, 0) (5, 0)
b3: (1, 0, 0) (6, 0)
b4: (-1, 1, 1) (3, 1)
b5: (1, 1, 1) (5, 1)
b6: (-1, 0, 0) (2, 2)
b7: (1, 0, 0) (6, 2)
b8: (0, 0, 1) (0, 2)
b9: (0, 0, 1) (2, 2)
b10: (0, 0, 1) (6, 2)
b11: (0, 0, 1) (8, 2)
b12: (0, 1, 1) (0, 3)
b13: (-1, 1, 1) (1, 3)
b14: (-1, -1, 1) (3, 3)
b15: (1, -1, 1) (5,3)
b16: (1, 1, 1) (7, 3)
b17: (0, 1, 1) (8, 3)
b18: (0, 1, -1) (0, 5)
b19: (-1, 1, -1) (1, 5)
b20: (-1, -1, -1) (3, 5)
b21: (1, -1, -1) (5,5)
b22: (1, 1, -1) (7, 5)
b23: (0, 1, -1) (8, 5)
b24: (0, 0, -1) (0, 6)
b25: (0, 0, -1) (2, 6)
b26: (0, 0, -1) (6, 6)
b27: (0, 0, -1) (8, 6)
b28: (-1, 0, 0) (2, 6)
b29: (1, 0, 0) (6, 6)
b30: (-1, 1, -1) (3, 7)
b31: (1, 1, -1) (5, 7)
b32: (-1, 0, 0) (2, 8)
b33: (-1, 1, 0) (3, 8)
b34: (1, 1, 0) (5, 8)
b35: (1, 0, 0) (6, 8)
The omnidirectional image generation method according to claim 14, wherein the relationship is satisfied.
(Note that the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet-like medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, (The coordinates of the lower vertex are defined as (8, 8).)
The omnidirectional image generation method according to claim 18, further comprising a selection step of receiving an image format of the original omnidirectional image.
The omnidirectional image generation method according to claim 19, wherein in the selection step, selection of a surface shape type corresponding to the surface of the three-dimensional object at the time of completion is accepted.
When the surface shape is a triangle or a quadrangle and the number of surfaces is 41 surfaces consisting of C0 to C40, the vertex groups are c0 to c63, and a vector representing the direction from the origin of the three-dimensional space is a component (x, y, z), the position coordinates (u, v) on the sheet-like medium,
C0: (c0-c16-c12)
C1: (c1-c12-c2)
C2: (c2-c12-c3)
C3: (c4-c12-c13-c5)
C4: (c5-c13-c14-c6)
C5: (c6-c14-c15-c7)
C6: (c8-c15-c9)
C7: (c9-c15-c10)
C8: (c11-c15-c21)
C9: (c16-c22-c12)
C10: (c12-c23-c26-c27)
C11: (c17-c27-c28)
C12: (c18-c28-c13)
C13: (c13-c28-c29-c14)
C14: (c14-c29-c19)
C15: (c20-c29-c30)
C16: (c15-c30-c31-c24)
C17: (c15-c25-c21)
C18: (c26-c32-c33-c27)
C19: (c27-c33-c34-c28)
C20: (c28-c34-c35-c29)
C21: (c29-c35-c36-c30)
C22: (c30-c36-c37-c31)
C23: (c38-c42-c48)
C24: (c32-c39-c48-c33)
C25: (c33-c43-c34)
C26: (c34-c44-c49)
C27: (c34-c49-c50-c35)
C28: (c35-c50-c45)
C29: (c35-c46-c36)
C30: (c36-c51-c40-c37)
C31: (c41-c51-c47)
C32: (c42-c52-c48)
C33: (c48-c53-c54)
C34: (c48-c54-c55)
C35: (c48-c56-c57-c49)
C36: (c49-c57-c58-c50)
C37: (c50-c58-c59-c51)
C38: (c51-c60-c61)
C39: (c51-c61-c62)
C40: (c51-c63-c47)
c0: (0, 0, 1) (0, 0)
c1: (-1, 0, 0) (0, 0)
c2: (-1, 0, 1) (1, 0)
c3: (0, 0, 1) (2, 0)
c4: (-1, 0, 0) (2, 0)
c5: (-1, 1, 0) (3, 0)
c6: (1, 1, 0) (5, 0)
c7: (1, 0, 0) (6, 0)
c8: (0, 0, 1) (6, 0)
c9: (1, 0, 1) (7, 0)
c10: (1, 0, 0) (8, 0)
c11: (0, 0, 1) (8, 0)
c12: (-1, -1, 1) (1, 1)
c13: (-1, 1, 1) (3, 1)
c14: (1, 1, 1) (5, 1)
c15: (1, -1, 1) (7, 1)
c16: (-1, 0, 1) (0, 1)
c17: (1, 1, 1) (1, 1)
c18: (-1, 1, -1) (1, 1)
c19: (1, 1, -1) (7, 1)
c20: (-1, 1, 1) (7, 1)
c21: (1, 0, 1) (8, 1)
c22: (-1, 0, 0) (0, 2)
c23: (0, 0, 1) (0, 2)
c24: (0, 0, 1) (8, 2)
c25: (1, 0, 0) (8, 2)
c26: (0, 1, 1) (0, 3)
c27: (-1, 1, 1) (1, 3)
c28: (-1, -1, 1) (3, 3)
c29: (1, -1, 1) (5,3)
c30: (1, 1, 1) (7, 3)
c31: (0, 1, 1) (8, 3)
c32: (0, 1, -1) (0, 5)
c33: (-1, 1, -1) (1, 5)
c34: (-1, -1, -1) (3, 5)
c35: (1, -1, -1) (5,5)
c36: (1, 1, -1) (7, 5)
c37: (0, 1, -1) (8, 5)
c38: (-1, 0, 0) (0, 6)
c39: (0, 0, -1) (0, 6)
c40: (0, 0, -1) (8, 6)
c41: (1, 0, 0) (8, 6)
c42: (-1, 0, -1) (0, 7)
c43: (1, 1, -1) (1, 7)
c44: (-1, 1, 1) (1, 7)
c45: (1, 1, 1) (7, 7)
c46: (-1, 1, -1) (7, 7)
c47: (1, 0, -1) (8, 7)
c48: (-1, -1, -1) (1, 7)
c49: (-1, 1, -1) (3, 7)
c50: (1, 1, -1) (5, 7)
c51: (1, -1, -1) (7,7)
c52: (0, 0, -1) (0, 8)
c53: (-1, 0, 0) (0, 8)
c54: (-1, 0, -1) (1, 8)
c55: (0, 0, -1) (2, 8)
c56: (-1, 0, 0) (2, 8)
c57: (-1, 1, 0) (3, 8)
c58: (1, 1, 0) (5, 8)
c59: (1, 0, 0) (6, 8)
c60: (0, 0, -1) (6, 8)
c61: (1, 0, -1) (7, 8)
c62: (1, 0, 0) (8, 8)
c63: (0, 0, -1) (8, 8)
The omnidirectional image generation method according to claim 14, wherein the relationship is satisfied.
(Note that the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, (The coordinates of the lower vertex are defined as (8, 8).)
The method for generating an omnidirectional image according to claim 21, further comprising a selection step of receiving an image format of the original omnidirectional image.
The method for generating an omnidirectional image according to claim 22, wherein, in the selection step, selection of a surface shape type corresponding to the surface of the three-dimensional object at the time of completion is accepted.
Computer
A vertex group constituting a surface corresponding to the surface of the three-dimensional object is provided in the three-dimensional space of the original omnidirectional image,
Associating each vertex with a vector representing the direction from the origin of the three-dimensional space and position coordinates on the sheet-like medium,
Based on the coordinate information associated with each vertex, by generating pixel information located in each plane,
An omnidirectional image that functions to generate an omnidirectional image formed on the surface of a three-dimensional object completed by folding a sheet-like medium according to a predetermined folding order from an original omnidirectional image. Generation program.
25. The omnidirectional image generation program according to claim 24, wherein the sheet-like medium is origami, and the three-dimensional object completed by folding the origami according to a predetermined folding order is an origami balloon.
When the surface shape is a triangle or a quadrangle and the number of surfaces is 15 surfaces consisting of A0 to A14, the vertex group is a0 to a21, and a vector representing the direction from the origin of the three-dimensional space is a component (x, y, z), the position coordinates (u, v) on the sheet-like medium,
A0: (a0-a4-a1)
A1: (a1 -a4 -a5 -a2)
A2: (a2 -a5 -a3)
A3: (a4 -a6 -a8)
A4: (a4 -a8 -a9 -a5)
A5: (a5-a9-a7)
A6: (a8-a10-a12)
A7: (a8-a12-a13-a9)
A8: (a9-a13-a11)
A9: (a12-a14-a16)
A10: (a12-a16-a17-a13)
A11: (a13-a17-a15)
A12: (a16-a18-a19)
A13: (a16-a19-a20-a17)
A14: (a17-a20-a21)
a0: (-1, 0, 0) (2, 0)
a1: (-1, 1, 0) (3, 0)
a2: (1, 1, 0) (5, 0)
a3: (1, 0, 0) (6, 0)
a4: (-1, 1, 1) (3, 1)
a5: (1, 1, 1) (5, 1)
a6: (-1, 0, 0) (2, 2)
a7: (1, 0, 0) (6, 2)
a8: (-1, -1, 1) (3, 3)
a9: (1, -1, 1) (5, 3)
a10: (-1, 0, 0) (2, 4)
a11: (1, 0, 0) (6, 4)
a12: (-1, -1, -1) (3, 5)
a13: (1, -1, -1) (5,5)
a14: (-1, 0, 0) (2, 6)
a15: (1, 0, 0) (6, 6)
a16: (-1, 1, -1) (3, 7)
a17: (1, 1, -1) (5, 7)
a18: (-1, 0, 0) (2, 8)
a19: (-1, 1, 0) (3, 8)
a20: (1, 1, 0) (5, 8)
a21: (1, 0, 0) (6, 8)
The omnidirectional image generation program according to claim 25, wherein the relationship is satisfied.
(Note that the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet-like medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, (The coordinates of the lower vertex are defined as (8, 8).)
27. The omnidirectional image generation program according to claim 26, wherein the computer is caused to function to accept an image format of an original omnidirectional image.
28. The omnidirectional image generation program according to claim 27, wherein the computer is caused to function to accept selection of a surface shape type corresponding to the surface of the three-dimensional object at the time of completion.
When the surface shape is a triangle or a quadrangle and the number of surfaces is 25 surfaces consisting of B0 to B24, the vertex groups are b0 to b35, and a vector representing the direction from the origin of the three-dimensional space is a component (x, y, z), the position coordinates (u, v) on the sheet-like medium,
B0: (b0-b4-b1)
B1: (b1-b4-b5-b2)
B2: (b2-b5-b3)
B3: (b4 -b6 -b14)
B4: (b4-b14-b15-b5)
B5: (b5-b15-b7)
B6: (b8-b12-b13)
B7: (b9-b13-b14)
B8: (b10-b15-b16)
B9: (b11-b16-b17)
B10: (b12-b18-b19-b13)
B11: (b13-b19-b20-b14)
B12: (b14-b20-b21-b15)
B13: (b15-b21-b22-b16)
B14: (b16-b22-b23-b17)
B15: (b18-b24-b19)
B16: (b19-b25-b20)
B17: (b21-b26-b22)
B18: (b22-b27-b23)
B19: (b20-b28-b30)
B20: (b20-b30-b31-b21)
B21: (b21-b31-b29)
B22: (b30-b32-b33)
B23: (b30-b33-b34-b31)
B24: (b31-b34-b35)
b0: (-1, 0, 0) (2, 0)
b1: (-1, 1, 0) (3, 0)
b2: (1, 1, 0) (5, 0)
b3: (1, 0, 0) (6, 0)
b4: (-1, 1, 1) (3, 1)
b5: (1, 1, 1) (5, 1)
b6: (-1, 0, 0) (2, 2)
b7: (1, 0, 0) (6, 2)
b8: (0, 0, 1) (0, 2)
b9: (0, 0, 1) (2, 2)
b10: (0, 0, 1) (6, 2)
b11: (0, 0, 1) (8, 2)
b12: (0, 1, 1) (0, 3)
b13: (-1, 1, 1) (1, 3)
b14: (-1, -1, 1) (3, 3)
b15: (1, -1, 1) (5,3)
b16: (1, 1, 1) (7, 3)
b17: (0, 1, 1) (8, 3)
b18: (0, 1, -1) (0, 5)
b19: (-1, 1, -1) (1, 5)
b20: (-1, -1, -1) (3, 5)
b21: (1, -1, -1) (5,5)
b22: (1, 1, -1) (7, 5)
b23: (0, 1, -1) (8, 5)
b24: (0, 0, -1) (0, 6)
b25: (0, 0, -1) (2, 6)
b26: (0, 0, -1) (6, 6)
b27: (0, 0, -1) (8, 6)
b28: (-1, 0, 0) (2, 6)
b29: (1, 0, 0) (6, 6)
b30: (-1, 1, -1) (3, 7)
b31: (1, 1, -1) (5, 7)
b32: (-1, 0, 0) (2, 8)
b33: (-1, 1, 0) (3, 8)
b34: (1, 1, 0) (5, 8)
b35: (1, 0, 0) (6, 8)
The omnidirectional image generation program according to claim 25, wherein the relationship is satisfied.
(Note that the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet-like medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, (The coordinates of the lower vertex are defined as (8, 8).)
30. The omnidirectional image generation program according to claim 29, wherein the computer is caused to function to accept an image format of an original omnidirectional image.
31. The omnidirectional image generation program according to claim 30, wherein the computer functions to accept selection of a surface shape type corresponding to the surface of the three-dimensional object at the time of completion.
When the surface shape is a triangle or a quadrangle and the number of surfaces is 41 surfaces consisting of C0 to C40, the vertex groups are c0 to c63, and a vector representing the direction from the origin of the three-dimensional space is a component (x, y, z), the position coordinates (u, v) on the sheet-like medium,
C0: (c0-c16-c12)
C1: (c1-c12-c2)
C2: (c2-c12-c3)
C3: (c4-c12-c13-c5)
C4: (c5-c13-c14-c6)
C5: (c6-c14-c15-c7)
C6: (c8-c15-c9)
C7: (c9-c15-c10)
C8: (c11-c15-c21)
C9: (c16-c22-c12)
C10: (c12-c23-c26-c27)
C11: (c17-c27-c28)
C12: (c18-c28-c13)
C13: (c13-c28-c29-c14)
C14: (c14-c29-c19)
C15: (c20-c29-c30)
C16: (c15-c30-c31-c24)
C17: (c15-c25-c21)
C18: (c26-c32-c33-c27)
C19: (c27-c33-c34-c28)
C20: (c28-c34-c35-c29)
C21: (c29-c35-c36-c30)
C22: (c30-c36-c37-c31)
C23: (c38-c42-c48)
C24: (c32-c39-c48-c33)
C25: (c33-c43-c34)
C26: (c34-c44-c49)
C27: (c34-c49-c50-c35)
C28: (c35-c50-c45)
C29: (c35-c46-c36)
C30: (c36-c51-c40-c37)
C31: (c41-c51-c47)
C32: (c42-c52-c48)
C33: (c48-c53-c54)
C34: (c48-c54-c55)
C35: (c48-c56-c57-c49)
C36: (c49-c57-c58-c50)
C37: (c50-c58-c59-c51)
C38: (c51-c60-c61)
C39: (c51-c61-c62)
C40: (c51-c63-c47)
c0: (0, 0, 1) (0, 0)
c1: (-1, 0, 0) (0, 0)
c2: (-1, 0, 1) (1, 0)
c3: (0, 0, 1) (2, 0)
c4: (-1, 0, 0) (2, 0)
c5: (-1, 1, 0) (3, 0)
c6: (1, 1, 0) (5, 0)
c7: (1, 0, 0) (6, 0)
c8: (0, 0, 1) (6, 0)
c9: (1, 0, 1) (7, 0)
c10: (1, 0, 0) (8, 0)
c11: (0, 0, 1) (8, 0)
c12: (-1, -1, 1) (1, 1)
c13: (-1, 1, 1) (3, 1)
c14: (1, 1, 1) (5, 1)
c15: (1, -1, 1) (7, 1)
c16: (-1, 0, 1) (0, 1)
c17: (1, 1, 1) (1, 1)
c18: (-1, 1, -1) (1, 1)
c19: (1, 1, -1) (7, 1)
c20: (-1, 1, 1) (7, 1)
c21: (1, 0, 1) (8, 1)
c22: (-1, 0, 0) (0, 2)
c23: (0, 0, 1) (0, 2)
c24: (0, 0, 1) (8, 2)
c25: (1, 0, 0) (8, 2)
c26: (0, 1, 1) (0, 3)
c27: (-1, 1, 1) (1, 3)
c28: (-1, -1, 1) (3, 3)
c29: (1, -1, 1) (5,3)
c30: (1, 1, 1) (7, 3)
c31: (0, 1, 1) (8, 3)
c32: (0, 1, -1) (0, 5)
c33: (-1, 1, -1) (1, 5)
c34: (-1, -1, -1) (3, 5)
c35: (1, -1, -1) (5,5)
c36: (1, 1, -1) (7, 5)
c37: (0, 1, -1) (8, 5)
c38: (-1, 0, 0) (0, 6)
c39: (0, 0, -1) (0, 6)
c40: (0, 0, -1) (8, 6)
c41: (1, 0, 0) (8, 6)
c42: (-1, 0, -1) (0, 7)
c43: (1, 1, -1) (1, 7)
c44: (-1, 1, 1) (1, 7)
c45: (1, 1, 1) (7, 7)
c46: (-1, 1, -1) (7, 7)
c47: (1, 0, -1) (8, 7)
c48: (-1, -1, -1) (1, 7)
c49: (-1, 1, -1) (3, 7)
c50: (1, 1, -1) (5, 7)
c51: (1, -1, -1) (7,7)
c52: (0, 0, -1) (0, 8)
c53: (-1, 0, 0) (0, 8)
c54: (-1, 0, -1) (1, 8)
c55: (0, 0, -1) (2, 8)
c56: (-1, 0, 0) (2, 8)
c57: (-1, 1, 0) (3, 8)
c58: (1, 1, 0) (5, 8)
c59: (1, 0, 0) (6, 8)
c60: (0, 0, -1) (6, 8)
c61: (1, 0, -1) (7, 8)
c62: (1, 0, 0) (8, 8)
c63: (0, 0, -1) (8, 8)
The omnidirectional image generation program according to claim 25, wherein the relationship is satisfied.
(Note that the position coordinates (u, v) are (0, 0) for the upper left vertex of the sheet-like medium, (8, 0) for the upper right vertex, (0, 8) for the lower left vertex, (The coordinates of the lower vertex are defined as (8, 8).)
The omnidirectional image generation program according to claim 32, wherein the computer is caused to function to accept an image format of an original omnidirectional image.
34. The omnidirectional image generation program according to claim 33, wherein the computer is caused to function to accept selection of a surface shape type corresponding to the surface of the three-dimensional object at the time of completion.