JP2007066055A - Computer program and tensor quantity display screen generation method for displaying tensor quantity three-dimensionally distributed within three-dimensional object - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To enable three-dimensional visual confirmation of a tensor quantity three-dimensionally distributed within a three-dimensional object. <P>SOLUTION: The computer program makes a computer function, in order to display the tensor quantity three-dimensionally distributed within the three-dimensional object, as a setting means setting a local three-dimensional area to be noted in the three-dimensional object and a display means displaying the tensor quantity on the surface of the local three-dimensional area repeatedly changed in size while repeatedly changing the size of the local three-dimensional area. <P>COPYRIGHT: (C)2007,JPO&INPIT

Description

  The present invention relates to a computer program for displaying a tensor amount such as a vector amount distributed three-dimensionally in a three-dimensional object, and a tensor amount display image data generation method.

  Visually displaying a three-dimensional vector field is important to easily understand the state of the vector field. Here, when a vector having a size and a direction is displayed, the vector is generally displayed by an arrow.

Therefore, when displaying the vector amount distributed on the surface of the three-dimensional object, an arrow may be displayed on the surface of the three-dimensional object. However, with this display method, the vector field inside the three-dimensional object cannot be displayed.
On the other hand, if all the vectors inside the three-dimensional object are to be visually displayed in a two-dimensional display, the arrows indicating the vectors inside the three-dimensional object overlap and the vector field inside the three-dimensional object is visually understood. Is difficult.

  When expressing a vector field inside a three-dimensional object, it is conceivable to display a cross section of the three-dimensional object and display an arrow indicating the vector on the cross section. However, in the cross-sectional display, the vector field can be understood only by two-dimensional visual recognition of only the cross-section, and three-dimensional (three-dimensional) visual recognition is difficult.

As described above, it is difficult to visually recognize a three-dimensional vector field three-dimensionally (three-dimensionally), and this problem is not limited to a vector that is a first-order tensor, but is a scalar that is a zero-order tensor or 2 The same applies to tensors above the floor.
Therefore, an object of the present invention is to make it possible to visually recognize a tensor amount distributed three-dimensionally in a three-dimensional object in a three-dimensional manner.

  The present invention relating to a computer program has a setting means for setting a local three-dimensional region to be noticed in a three-dimensional object in order to display a tensor amount three-dimensionally distributed in the three-dimensional object. The display unit functions as a display means for displaying the tensor amount on the surface of the local three-dimensional region that repeats the change in size while repeating the change in the size of the three-dimensional region.

When the tensor amount on the surface of the region is displayed while changing the size of the local three-dimensional region, the tensor amount can be reduced three-dimensionally due to an effect such as a human afterimage phenomenon (an actual afterimage may not occur). It can be visually recognized.
Here, the local three-dimensional region itself may or may not be displayed, but the visibility is improved when displayed as described later.

  The setting means preferably includes means for setting a point of interest in a three-dimensional object and means for setting a spread of a local three-dimensional region from the set point of interest. Note that the spread of the set local three-dimensional region can be, for example, the size when the local three-dimensional region to be increased or decreased is the largest, but may be a size in the middle of the increase or decrease, for example.

  The setting means is preferably configured as means for setting a region including the cross section as a local three-dimensional region on the display of the cross section of the three-dimensional object. In this case, since the local three-dimensional area can be set using the displayed three-dimensional object cross section as a clue, the local three-dimensional area can be easily set.

  It is preferable that the maximum size of the three-dimensional area when the local three-dimensional area changes can be changed. In this case, the observation target region can be changed by changing the size of the local three-dimensional region.

It is preferable that the tensor amount is at least a first-order tensor amount having a direction, and the display unit displays the direction of the tensor amount on the surface of the local three-dimensional region that repeats a change in size.
Moreover, it is preferable that the said display means displays the direction and magnitude | size of the tensor amount of the surface of the local three-dimensional area | region which repeats a change of a magnitude | size.

  The display means preferably displays the tensor amount together with the internal structure of the three-dimensional object that appears on the surface of the local three-dimensional region that repeatedly changes in size. In this case, the internal structure of the three-dimensional object can be visually recognized together with the three-dimensional distribution of the tensor amount.

The display means is preferably capable of displaying the local three-dimensional region so that the size of the local three-dimensional region repeats changing while changing the display viewpoint of the local three-dimensional region.
Visibility is further improved if the local three-dimensional area is repeatedly changed in size while the display viewpoint of the local three-dimensional area is changed by rotating the local three-dimensional area.

  It is preferable that the change rate of the size of the local three-dimensional region can be changed, so that the speed can be easily adjusted.

  The three-dimensional object is preferably a living bone, and the tensor amount is preferably a stress acting on the living bone.

  The tensor amount display image data display method according to the present invention relates to a tensor amount display image data generation method for generating image data for displaying an image of a tensor amount distributed three-dimensionally in a three-dimensional object by an image generation computer. A step in which the image generation computer receives a setting input of a local three-dimensional region to be noticed in a three-dimensional object, and the size change while the set local three-dimensional region repeats its size change The image generation computer generates an image in which the tensor amount is displayed on the surface of the local three-dimensional region that repeats the above.

  According to the present invention, the tensor amount can be visually recognized three-dimensionally.

Hereinafter, embodiments of the present invention will be described with reference to the drawings. Here, the basic concept of the display process of a three-dimensional vector field will be described with reference to FIGS. The vector is a first-order tensor.
FIG. 1 shows a three-dimensional object 1 such as a living bone (part of: a cubic shape). In order to display a vector inside the three-dimensional object 1 (such as stress inside the three-dimensional object), first, as shown in FIG. 2, the user (observer) sets a point of interest P where the user wants to observe the vector. The attention point P is set as a surface or an internal point of the three-dimensional object 1.
In FIG. 2, an arbitrary cross section 2 of the three-dimensional object 1 is displayed, and a point on the cross section 2 is designated to designate the point in the three-dimensional object 1 as the attention point P.

  When the attention point P is set, the local three-dimensional region D of the three-dimensional object 1 centered on the attention point P is continuously expanded as shown in FIGS. When the local three-dimensional area D is enlarged to the maximum size shown in FIG. 6, the local three-dimensional area D is displayed while being continuously reduced in the order of FIGS. Reduce to The enlargement / reduction of the local three-dimensional area D is repeatedly displayed.

  On the surface of the local 3D region D to be enlarged or reduced, a vector on the surface of the local 3D region D of the 3D object 1 is displayed by an arrow. Since the arrow is displayed on the surface of the local three-dimensional region D whose size changes (enlarges / reduces) over time, when the observer continues to observe the arrow on the local three-dimensional region to be enlarged / reduced The state of the vector field around the point of interest P can be three-dimensionally grasped by the afterimage effect of human eyes (the actual afterimage does not have to occur).

  Subsequently, the function of the computer for displaying the three-dimensional vector field will be described more specifically below. The computer (program) displays stress in living bones and is used for supporting osteoporosis diagnosis. That is, when the bone density decreases, the stress increases and the possibility of fracture increases. However, displaying the stress of a living bone as a three-dimensional vector field is useful for osteoporosis diagnosis.

  FIG. 7 shows an input / output relationship of the computer 10 for displaying a three-dimensional vector field (stress field) inside the three-dimensional object. As shown in FIG. 7, the computer 10 is given three-dimensional object data as input data, and performs image display of a three-dimensional vector field, file output of a three-dimensional vector field image (animation image), and the like.

FIG. 8 shows functional blocks of the computer 10. Details of each of these functions will be described later.
The computer 10 includes an arithmetic unit configured by a CPU, a storage unit configured by a memory / hard disk, an input unit configured by a keyboard / mouse, and an output unit such as a display. A computer program described below is installed in a storage unit such as a hard disk, and various functions are realized by executing the computer program.

FIG. 9 shows screen displays (windows) W1, W2-1, W2-2, and W2-3 of the computer 10 by a computer program (stress visualization application) for displaying a three-dimensional vector field.
As the window, a local / vector display unit 20 for displaying a three-dimensional vector field of a local three-dimensional region (hereinafter also simply referred to as “local”) and a cross-section display unit 25 for displaying a cross section of a three-dimensional object. A main window W1 and the like, and sub-windows W2-1, W2-2, and W2-3 for performing settings for display are provided.
As sub-windows, a “cross-section display” window W2-1 as the cross-section display setting section 21, a “local display” window W2-2 as the local display setting section 22, and a “main stress vector display” window as the stress vector setting section 23 are displayed. W2-3 is provided.

The main window W1 reads three-dimensional object data, displays an image of the entire three-dimensional object 1, displays to specify the attention point P in the three-dimensional object 1, and displays local and vector images that increase or decrease in size. And a function of outputting a local image whose size increases or decreases and a vector image file.
For example, three-dimensional object data 1 as shown in FIG. 10 is read as input data by the three-dimensional object data (three-dimensional object data file) reading function of this program.

The three-dimensional object data shown in FIG. 10 includes three-dimensional shape data of a portion (three-dimensional shape) of the cancellous bone as an object and data of stress vectors acting on each portion of the cancellous bone. The cancellous bone has a sponge-like structure, and the inside has a complicated structure.
The internal structure of the three-dimensional object is represented by voxel data, and the three-dimensional object data also includes data indicating stress (vector; tensor) in each voxel, and indicates the internal structure and internal vector field of the three-dimensional object. It has become a thing.
Note that the image shown in FIG. 10 has black and white shading (the actual image is a color), but this shading (color difference) indicates the magnitude of the stress.
Here, the data format representing the structure of the three-dimensional object is not limited to voxel data, and may be another data format such as tetrahedron data.

An overall view of the read three-dimensional object data 1 is displayed on the main window W1 as an image shown in FIG.
When the “section display” window W2-1 is activated from the main window W1, the section 2 of the three-dimensional object 1 is displayed in the main window W1, as shown in FIG. The displayed cross section 2 is in accordance with the setting in the “cross section display” window W2-1, and the cross section 2 having an arbitrary direction, an arbitrary position, and an arbitrary thickness in the three-dimensional object 1 can be displayed. it can.
That is, the “cross-section display” window W2-1 has “YZ cross-section”, “ZX cross-section”, and “XY cross-section” setting sections as the cross-section direction setting section 211, and the cross section in the selected direction is the main window. W1 is displayed. In FIG. 9, “YZ cross section” is set, and a cross section of the YZ plane of the three-dimensional object is displayed in the main window W1.

Further, the “cross-section display” window W2-1 has a display cross-section position setting unit 212 for setting the position of a cross-section to be displayed, and 3 in the direction orthogonal to the cross-section in the direction set by the cross-section direction setting unit 211. The position in the dimension object 1 can be set by a slider. For example, in FIG. 9, since the “YZ cross section” is set as the cross-sectional direction, the position of the cross section 2 in the X direction orthogonal to the cross section can be freely set.
With the cross-section direction setting unit 211 and the display cross-section position setting unit 212 described above, the cross-section 2 at an arbitrary position in an arbitrary direction of the three-dimensional object can be displayed.

Further, the “section display” window W2-1 includes a section thickness setting section 213 for setting the thickness of the section 2 to be displayed, a section transparency setting section 214 for setting the transparency of the section 2, and the section 2 as voxel units. A mesh display setting unit 215 for switching to display in a mesh, and a color display switching unit 216 for switching color display / grayscale display of a cross section, and adjusting the display mode of the cross section by these setting units 213, 214, and 215 can do.
The color display of the cross section is a color display that is color-coded for each “magnitude” of stress in the cross-section, and the gray scale display of the cross-section is also a gray scale display that is divided for each “magnitude” of stress in the cross-section. It is.

Further, if the transparency of the cross section 2 is adjusted by the cross section transparency setting unit 214 and the cross section 2 is displayed semi-transparently, even if the cross section 2 is displayed over the local D or the vector arrow, the cross section 2 display is displayed locally. It does not interfere with the display of D and vector arrows, and can prevent the local D and arrows from being visually impaired.
Furthermore, if the cross-section transparency setting unit 214 sets the cross-section to be completely transparent, a state where no cross-section exists on the screen, that is, a cross-section display OFF state can be set.

The operation of specifying the attention point P is performed by placing the mouse pointer at an arbitrary position on the displayed cross-section 2 on the main window W1 serving as a cross-section display unit by operating a pointing device such as a mouse, and selecting a click or the like. It is done by doing.
In this way, any cross-section 2 of the three-dimensional object can be displayed, and the point of interest P can be specified on the cross-section 2 display, so that any location of the three-dimensional object can be easily specified.

Further, since the point of interest P can be designated while viewing the internal structure of the three-dimensional object by the cross-sectional display, it is possible to appropriately designate the point of interest P while confirming the position to be noticed in the three-dimensional object by the cross-sectional structure of the cross-sectional display. it can.
In addition, since the magnitude of the stress is displayed on the cross section (by shading and color), if you look at such a cross section, you can easily grasp where the stress is high or low, and specify the point of interest P. Will help.

  Note that the designation of the attention point is not limited to the method using the mouse as described above. For example, the method of inputting the XYZ coordinate values of the attention point P may be used, and the cross-section display may not be performed.

  When the attention point P is designated and the local display execution / stop unit 221 of the “local display” window W2-2 is set to the execution state, settings in the “local display” window W2-2 and the “main stress vector display” window W2-3 are set. Accordingly, a local (local three-dimensional region) D centered on the point of interest and an arrow indicating a stress vector on the surface of the local D are displayed.

  FIGS. 11-16 has shown the display of the arrow which shows a mode that the local D becomes large sequentially according to the order of a figure, and the vector of each local D surface. As described above, the size of the local portion D is repeatedly enlarged and reduced, and the observer can easily grasp the state of the vector field near the point of interest.

  Here, the local part D is originally configured to expand and contract as a cube centered on the point of interest P (center of gravity) (see FIGS. 1 to 6), but the internal shape is complex like cancellous bone. In the case of a spongy shape, since a hollow portion exists inside the object (see FIG. 10), the shape appearing on the surface of the cube having a predetermined size is not the shape of the cube but only the shape where the object (cancellous bone) exists. (See FIGS. 11 to 16).

Of course, since there is no stress in the part where the object (cancellous bone) does not exist, such a part does not need to be displayed, and the local D in FIGS. 11 to 16 shows the local shape of such an object. It is what is displayed.
Therefore, by observing the increase or decrease in the size of the local part D, it is possible to grasp the three-dimensional vector field near the point of interest P while grasping the three-dimensional structure near the point of interest P of the three-dimensional object. Has become very good.

  The local part D does not have to be enlarged or reduced as a cube centered on the point of interest P (center of gravity). For example, the local part D may be enlarged or reduced as a sphere centered on the point of interest P. Other shapes may also be used.

  The image which the local D described above displays the vector arrow on the surface of the local D while increasing or decreasing the size is output as an animation image by the file output function of the main window W1. As described above, in this program, a display image can be generated as an image file. Therefore, the animation image can be reproduced by general image reproduction software other than this program. The vector field can be observed.

The display of the local part D (three-dimensional object 1) in the main window W1 and the animation image output as a file can be changed by the display setting parts 51, 52, and 53. For example, the display direction setting unit 51 can switch to YX plane view display, ZX plane view display, and perspective display, and can be observed from an appropriate direction. The display in FIG. 9 is a perspective display.
In addition, the local display D (three-dimensional object 1) can be rotated about the X axis, the Y axis, and the Z axis by the rotation display setting unit 52, and the observation display position is also adjusted by the rotation display setting unit 52. be able to. In addition, by rotating the local D (three-dimensional object 1) while the local D is enlarged or reduced, the three-dimensional vector field can be observed from multiple viewpoints, and the visual recognition of the three-dimensional vector field is further facilitated.

Furthermore, the display of the local part D can be zoomed in and zoomed out by the enlargement / reduction display setting part 53, and the local part D can be observed with a display of an appropriate size.
The main window W1 is also provided with a display unit 54 that indicates the magnitude of the stress corresponding to each color in the color-coded display of the magnitude of the stress.

  The local D and the vector arrow displayed in the main window W1 can be adjusted by the “local display” window W2-2 and the “main stress vector display” window W2-3. For example, the “local display” window W2-2 includes a local display size setting unit 222 for setting the maximum size of the local D when scaling up / down, and the local D sets the local display size. The enlargement / reduction is repeated between the local size maximum value set by the unit 222 and a predetermined local size minimum value (for example, the size of one voxel in which the attention point P exists). The local size minimum value may also be settable.

The “local display” window W2-2 has a transparency setting unit 223 for adjusting and setting the transparency of the local D. If the transparency of the local part D is adjusted to make the local part D translucent, the problem that the local part D becomes in the way and the vector cannot be visually recognized regardless of the direction of the vector arrow can be avoided.
Alternatively, when the locality D is made completely transparent by the transparency setting unit 223, the local D is not displayed and only the vector arrow can be displayed.

  Further, the “local display” window W2-2 has a color display switching unit 224 for switching the color display / grayscale display of the local D. The color display of the local D is a color display colored for each “magnitude” of stress on the surface of the local D, and the gray scale display of the local D is also divided for each “magnitude” of stress on the local surface. Grayscale display.

The color display or gray scale display of the local part D indicates the “magnitude” of the stress, and the magnitude of the stress is a scalar quantity (0th-order tensor quantity) having no direction. That is, the local display that is color-coded or gray-scaled for each magnitude of stress displays the local shape and the scalar amount on the local surface. As described above, in this embodiment, the tensor amount is displayed only by the local D display without the arrow, and the vector direction and the direction are displayed by overlaying the tensor amount. Easy to understand.
Similarly to the color display of the local D, the vector arrows are also displayed in different colors for each vector size (stress level). Even if only the arrows are displayed without the local D, the vector size and direction are displayed. Both are visible. Further, the size of the vector can be displayed by changing the arrow length according to the size instead of color-coded display (described later).

Furthermore, the “local display” window W2-2 has a speed setting unit (animation display speed setting unit) 225 for adjusting and setting the enlargement / reduction speed (display speed) of the local D. Here, since the visibility of the three-dimensional vector field is obtained by the afterimage phenomenon effect of the image, the enlargement / reduction speed of the local portion D is important for ensuring the visibility.
By setting the enlargement / reduction speed of the local part D by the speed setting part, the size of the local part can be changed at a speed according to the preference of the observer, and good visibility can be obtained. In addition, since the enlargement / reduction speed of the local D changes according to the data size of the local area and the processing speed of the computer, the speed setting is performed when the enlargement / reduction speed is too slow or too fast depending on the data size or the processing speed. The speed can be adjusted by the unit 225, and the speed can be set appropriately.

In addition, it is preferable that the display speed is not affected by the data size or processing speed, the display speed is constant regardless of the influence, and the display speed can be adjusted only by the speed setting unit 225.
Furthermore, if the display speed increases beyond the limit that humans can recognize continuity because the data size of local D is very small or the processing speed is high, proper observation cannot be performed. It is desirable to automatically adjust the speed so that the animation display speed (within 5 frames per second) can be recognized.

The “main stress vector display” window W2-3 is a vector (stress) display location selection unit 231 for selecting whether to display the stress vector on the surface of the local D or on the cross section 2, and the length of the displayed vector arrow A vector length setting unit 232 for setting the length, a vector width setting unit 233 for setting the width (thickness) of the displayed vector arrow, and a density (number of arrows per unit area) of the displayed vector arrow A vector downsize display unit 234 is provided.
The density of the vector arrows is preferably set appropriately in accordance with the size of the local D, the data resolution, and the vector distribution method (change rate or physical quantity gradient).

When the “Vector size normalize” check box in the “Main stress vector display” window W2-3 is checked, the length of the displayed vector arrow is constant regardless of the size of the vector. The length of the displayed vector arrow is a length corresponding to the size of the vector.
Furthermore, when the “Vector color map display” check box in the “Main stress vector display” window W2-3 is checked, the color of the displayed vector arrow is color-coded according to the size of the vector. The color of the displayed vector arrow is the same regardless of the size of the vector.

  17 to 23 show an algorithm for displaying the local D in the three-dimensional object data (voxel data). Here, for the sake of simplicity, description will be made using a two-dimensional object, and pixel data will be used instead of voxel data. In FIG. 17, squares represent pixels of a two-dimensional image, and a cross-hatched region indicates an object, and the same applies to other drawings.

First, as shown in FIG. 18, when a pixel to be the attention point P (the center of the two-dimensional image) is designated, a distance number “0” is assigned to the attention point P.
Then, it is determined whether the four pixels around the distance number “0” are within the object. Here, the number of surrounding pixels to be determined may be 8 instead of 4. When the object is voxel data, the number of surrounding voxels to be determined can be 6 points or 26 points.
In FIG. 19, the four surrounding points to be determined are indicated by “◯”. If the determination target is an object, a distance number “1” is assigned to the pixel as shown in FIG.

Thereafter, the same processing is repeated to determine pixels around the distance number “1” (FIG. 21). If the object to be determined is an object, a distance number “2” is assigned (FIG. 22), and the distance number is further increased. Judgment around "2" is made.
Then, when the distance number reaches the set value of the local maximum size, the distance number assigning process ends.

  In this way, data with a distance number assigned from the point of interest P (minimum size of the local area) to the area of the maximum size of the local area D is created. , The local D display with the surface consisting of pixels (voxels) with the same distance number as the surface is one frame of animation display, continuous display of frames changed in ascending order of distance numbers, and the distances changed in descending order By repeating the continuous display of the frames, the display in which the size of the local D is increased or decreased can be performed.

The present invention is not limited to the above embodiment.
The three-dimensional object data is not limited to living bones, and may be data of various objects regardless of solid or fluid. However, the method of displaying the local area in addition to the vector is effective for visually recognizing the vector field while visually recognizing the internal structure itself when the internal structure of the three-dimensional object is not uniform and has a complicated structure. Therefore, a porous material and a fiber / particle reinforced composite material are effective as an artificial material having a structure similar to that of a substance having a non-uniform internal structure, for example, a living bone (a living cancellous bone). Further, a structure such as a hollow structure is also effective.

Furthermore, the displayed vector is not limited to stress, but may be another one such as a temperature gradient.
Furthermore, the displayed tensor is not limited to a vector (first floor tensor), but may be a scalar without direction (0 floor tensor), or may be a higher floor tensor having two or more floors. In the case where importance is attached to the direction display, a higher-order tensor of the first floor or higher may be used.

The local display range to be displayed may be set as a cuboid in addition to a cube having the center of interest as a center of gravity and a sphere equidistant from the point of interest in all directions. In the case of a rectangular parallelepiped, it is preferable that a rectangular parallelepiped having an arbitrary size can be set by individually setting distances in the respective directions of the XYZ directions from the point of interest. The local display range may be other polyhedrons or other shapes.
When there are a plurality of local range shapes, it is preferable that the local range shape is selectable.

  Furthermore, when this program is used to support the diagnosis of osteoporosis, the stress of the bone (resting, walking, etc.) in which stress (vector: tensor) occurs is different because bone stress differs during rest, walking and strenuous exercise. By selecting and displaying the corresponding stress, it is possible to easily grasp the risk of fracture due to osteoporosis.

It is a whole perspective view of a three-dimensional object. It is a figure which shows the state in which the attention point of the three-dimensional object was instruct | indicated. It is a perspective view which shows a local three-dimensional area | region and the vector of the surface. It is a perspective view which shows the local three-dimensional area | region and the vector of the surface which became larger than FIG. It is a perspective view which shows the local three-dimensional area | region and the vector of the surface which became larger than FIG. FIG. 6 is a perspective view showing a local three-dimensional region that is larger than FIG. 5 and a vector of the surface thereof. It is an input / output relationship diagram of a computer. It is a functional block diagram of a computer. It is a computer screen. This is voxel data of living cancellous bone. It is an image which shows the local three-dimensional area | region D of the living cancellous bone, and the vector of the surface. It is an image which shows the local three-dimensional area | region D and the surface vector which became larger than FIG. It is an image which shows the local three-dimensional area | region D and the surface vector which became larger than FIG. It is an image which shows the local three-dimensional area | region D and the surface vector which became larger than FIG. It is an image which shows the local three-dimensional area | region D and the surface vector which became larger than FIG. It is an image which shows the local three-dimensional area | region D and the surface vector which became larger than FIG. It is explanatory drawing of the distance number assignment | providing algorithm for enlarging / reducing a three-dimensional local region, and is a figure which shows a three-dimensional object data initial state. It is a figure which shows the state in which the attention point (distance number 0) was designated in FIG. FIG. 19 is a diagram illustrating a state in which a determination target around a point of interest is selected in FIG. 18. FIG. 20 is a diagram showing a state in which the three-dimensional object with distance number 1 is selected in FIG. 19. FIG. 21 is a diagram illustrating a state where a determination target around distance number 1 is selected in FIG. 20. FIG. 22 is a diagram illustrating a state in which a three-dimensional object having a distance number 2 is selected in FIG. 21. It is a figure which shows the state from which the judgment object around the distance number 2 was selected in FIG.

Claims (12)

In order to display the amount of tensor distributed three-dimensionally within a three-dimensional object,
Setting means for setting a local three-dimensional region to be noticed in a three-dimensional object;
Display means for displaying the tensor amount on the surface of the local three-dimensional region that repeats the change in size while repeating the change in the size of the local three-dimensional region;
A computer program that functions as a computer program.   The computer program according to claim 1, wherein the setting means includes means for setting a point of interest in a three-dimensional object, and means for setting a spread of a local three-dimensional region from the set point of interest.   The computer program according to claim 1 or 2, wherein the setting means is configured as means for setting a region including the cross section as a local three-dimensional region on display of a cross section of the three-dimensional object.   The computer program according to claim 1, wherein the setting of the maximum size of the three-dimensional area when the local three-dimensional area changes can be changed. The tensor amount is a tensor amount of at least the first floor having a direction,
The computer program according to claim 1, wherein the display unit displays a direction of a tensor amount on a surface of a local three-dimensional region that repeats a change in size.   6. The computer program according to claim 5, wherein the display means displays the direction and size of a tensor amount on the surface of a local three-dimensional region that repeats a change in size.   The computer program according to any one of claims 1 to 6, wherein the display unit displays a tensor amount together with the internal structure of the three-dimensional object that appears on the surface of a local three-dimensional region that repeatedly changes in size.   The computer program according to claim 1, wherein the display unit can display the local three-dimensional area so that the size of the local three-dimensional area repeats changing while changing the display viewpoint of the local three-dimensional area.   The computer program according to claim 1, wherein the change rate of the size of the local three-dimensional region can be changed.   The computer program according to claim 1, wherein the three-dimensional object is a living bone.   The computer program according to claim 10, wherein the tensor amount is a stress acting on a living bone. A tensor amount display image data generation method for generating, by an image generation computer, image data for displaying an image of a tensor amount distributed three-dimensionally in a three-dimensional object,
Receiving a setting input of a local three-dimensional region to be noticed in a three-dimensional object by an image generation computer;
The image generation computer generates an image in which the tensor amount is displayed on the surface of the local three-dimensional region in which the set local three-dimensional region repeats the size change and the size change is repeated.
A method for generating image data.