JPH0654497B2 - Shape shaping method - Google Patents

Description

DETAILED DESCRIPTION OF THE INVENTION The present invention will be described in the following order.

A Industrial Field B Outline of the Invention C Prior Art D Problems to be Solved by the Invention E Means for Solving Problems (FIGS. 1 to 3 and 7)
Fig.) F action (Figs. 1 to 3 and 7) G embodiment (Figs. 1 to 7) H Effect of the invention A Industrial field of application The present invention relates to a shaped display device, for example, shaping Surgery
It is suitable for use when designing bodies for automobiles and electric products.

B Outline of the Invention In the shaping shape creating method for creating an outer shape of a shaping target, the present invention determines a partial deformation amount of the shaping target by a degree-of-freedom limiting parameter that represents the ease of movement of the deformation portion of the shaping target. Then, by correcting the amount of deformation, it is possible to create a shaped shape adapted to the feature to be shaped.

C Conventional Technology For example, when performing plastic surgery, the patient's wishes are often ambiguous, such as "slightly elevated nose", "sightly eyes", "like an actress". Further, since there is no means for specifically presenting the face after shaping to the patient as an image, both the doctor and the patient can only imagine the face after shaping as an image. Therefore, the face after the shaping may result in a dispute between the doctor and the patient.

Especially when trying to reshape the face or body, the shape of the epidermis should be adjusted according to the relationship with the bone as the internal structure covered by the epidermis. There is a possibility that the result may be that bones must be shaved, and such a result can be predicted before the start of plastic surgery, and there is a display device that can visually confirm the shape of the epidermis after plastic surgery in real time. If so, it is considered that plastic surgery can be performed without trouble.

In addition, when designing the shape of the body that covers the inner structure in automobiles, electric appliances, etc., the shape of the body is limited by the structure of the inner structure to which the body is fixed. Even if you ignore it and try to design the body shape, it is impossible to design a body that can withstand practical use, and you can visually confirm the predesigned design shape before such a result is obtained. Such a display device is considered to be an effective means when designing the outer shape of the body.

D. Problems to be Solved by the Invention The present invention has been made in consideration of the above points, and limits the outer shape of the surface portion such as the skin portion and the body covering the inner structure to limit the inner structure. An object of the present invention is to provide a shaped shape display device capable of specifically presenting the shape of the surface portion after shaping by making it possible to perform shaped display.

E Means for Solving the Problem In order to solve the problem, in the present invention, the image displaying the shaping target 7 is represented by the coordinates on the original surface SOR, and the action point is applied to the image on the original surface SOR. A predetermined deformation area VCF including CP _i ^* is specified, a vector field function F _i representing the relative deformation rate at each point in this deformation area VCF is determined, and the deformation amount at the action point CP _i ^* of the deformation area VCF is determined. And a deformation vector V _i ^* representing the direction and multiplying the deformation vector V _i ^* and the vector field function F _i to obtain a position vector U ^* representing the deformation amount of the curved surface in the deformation region VCF, and The position vector U ^* representing the amount is modified by the degree-of-freedom restriction parameters J ₀ , J ₁ ... J _m representing the ease of movement of each position portion of the shaping target 7, and the position vector representing the modified amount after modification. Strange by Yotsute to deform the position vector P _i-1 ^* representing a front surface, so as to obtain the position vector P _i ^* representative of a curved surface after deformation of the image of the original plane SOR.

F action An image representing the shaping object 7 is displayed on the original surface SOR, a predetermined deformation region VCF is designated, and a multiplication value of the vector field function F _i and the deformation vector V _i ^* is set for each point in the deformation region VCF. Thus, the position vector U ^* representing the deformation amount of the curved surface in the deformation region VCF is obtained.

With respect to this position vector U ^* , the degree-of-freedom limiting parameters J ₀ , J ₁ ... J _m representing the characteristics of the surface portion of the shaping target 7.
The correction amount can be corrected so as to be adapted to the characteristic of the shaping target.

Therefore, it is possible to effectively avoid the possibility of displaying on the display device 3 a shaping shape that cannot be shaped practically (a shape that scrapes off the surface portion, for example, the skin portion of the face to the inside of the bone). As a result, it is possible to realize a shaped shape creating apparatus that can efficiently create a shaped shape that matches actual conditions.

G Example An example in which the present invention is applied to shaping a human face will be described in detail below with reference to the drawings.

In FIG. 1, reference numeral 1 denotes a shaping device as a whole, which displays the processing result in the curved surface computing device 2 on a display surface DSP of a display device 3 having a cathode ray tube (CRT) configuration, for example.

The curved surface calculation device 2 includes an image conversion device 4 and an image data processing control device 5 for controlling the image conversion device 4, and a video input of a face of a patient 7 who is going to undergo plastic surgery with a television camera 6 from the front. The signal VD _IN is input to the image conversion device 4. The image conversion device 4 converts the video input signal VD _IN into a digital signal, converts it into planar image data projected on a two-dimensional plane, and stores it in the curved surface data memory 12 provided in the image conversion device 4. It is done like this.

On the other hand, the image data processing control device 5 includes a track ball 8, a plurality of levers 9 and a mouse 1 as parameter input means.
0 is connected, the viewpoint for viewing the deformed shape is set by the track ball 8, the parameters related to the deformation area and the deformation vector are input by the lever 9, and the position of the action point is set by the mouse 10. Display surface D of display device 3
It can be designated by displaying the cursor 14 on the SP.

In addition to this, the image data processing control device 5 is supplied with internal structure data IND representing the three-dimensional shape of the skull of the face of the patient 7 from a tomography device (computer tomogram: CT).

The image conversion device 4 is based on the deformation control data DEF supplied from the image data processing control device 5, and when the deformation control data DEF does not instruct deformation, the face of the patient 7 imaged by the television camera 6 is taken. As shown in FIG. 2, a front image of the original surface SO is represented by xy coordinates.
It is arranged to be stuck to R and displayed on the display device 3 as it is.

The image data processing control device 5 specifies the position vector representing the action point CP _i ^* at the coordinates (X _i , Y _i ) of the original surface SOR based on the parameter input by the parameter input means, and the action point CP _The deformation operation is executed only within the range of the deformation region VCF including _i ^* . As a result of the calculation, as shown in FIG. 3, on the display surface DSP of the display device 3, it is possible to display a conversion screen SCH similar to that when the deformed three-dimensional curved surface is viewed from an arbitrarily determined viewpoint position. Such deformation area V
The deformation of the curved surface in the CF is calculated by using the conversion equation represented by the following equation: P _i ^* = J ^* (P _i−1 ^* , J ₀ , J ₁ ... J _m ) ... (1).

In equation (1), P _i ^* is a position vector representing each point on the curved surface formed in the three-dimensional space after deformation, and this position vector P _i ^* is the position of the corresponding point on the original surface SOR before deformation. The vector P _i-1 ^* and the position vector P _i-1 before the transformation
^{It is represented} by a deformation amount vector U ^* from ^* and a degree-of-freedom limiting function vector J ^* determined by using the degree-of-freedom limiting parameters J ₀ , J ₁ ... J _m as variables.

Here deformation amount vector ^{U *} the following formula _{^{U * = V i * * F}} i (P i-1 *, CP i *) , as shown by ... (2), the vector field function _{F i} (P _i-1 ^* , CP _i
It is represented by a position vector obtained by multiplying ^* ) by the deformation vector V _i ^* . The deformation vector V _i ^* is a vector indicating the direction and magnitude of deformation to be given to the original surface SOR at the point of action CP _i ^* when the point of action CP _i ^* is specified in the original surface SOR before the deformation process. The point of action CP _i ^* of the original surface SOR is
The deformation is such that it can be lifted by the deformation vector V _i ^* .

Further, the vector field function F _i (P _i-1 ^* , CP _i ^* ) has each point P _{i of the} deformation region VCF (which can be designated by setting and inputting a large parameter thereof) determined by including the action point CP _i ^*. _It shows the distribution of relative deformation rate that determines how much deformation is given to _-1 ^* . This relative distribution of the deformation ratio has a value only inside the deformation region VCF, and becomes “0” in the peripheral portion,
Or, it has a distribution of scalar quantities that “converges to 0”.

Accordance connexion, deformation amount vector U ^* is made at a position vector indicating the amount of deformation at each point in the deformation region VCF, that direction has a direction parallel to the deformation vector V _i ^*, and the magnitude of deformation vectors V _i ^* And the vector field function F
_i (P _i-1 ^* , CP _i ^* ) has a multiplication value (scalar amount) of the distribution of the relative deformation rates expressed by _i (P _i-1 ^* , CP _i ^* ) and thus the deformation of the curved surface of the deformation region VCF is the action point CP _i ^*. in a variation vector V _i ^* of the resulting in direction and magnitude, follow connexion deformation vectors V _i to go to the periphery of the action point CP _i ^{* *}
, And with a magnitude that changes in response to changes in the deformation rate of the vector field function F _i .

Here, as the vector field function F _i (P _i-1 ^* , CP _i ^* ), a function such as a Gaussian distribution function that symmetrically gradually converges to 0 as going outward from the center point is assigned. If the deformation amount vector U ^* is
Has a maximum value in the direction of the vector V _i ^* at P _i ^* ,
In addition, a deformation surface P _{i *} having a direction of the deformation vector V _i ^* as it goes from the point of action CP _i ^* to the outer periphery and having a size gradually converging to 0 is obtained.

Further, in the equation (1), the degree-of-freedom limiting parameters J ₀ , J
₁ ... J _m is a parameter that can be set for each point on the curved surface. The three parameters J ₀ , J ₁ , J ₂
Can be used to determine the degree-of-freedom function vector J ^* .

In the equation (3), J _x and J _y represent components of the degree-of-freedom function vector J ^{* in} the directions along the x and y coordinates on the original surface SOR, and J _z is a height orthogonal to the original surface SOR. The components in the direction along the vertical coordinate axis z are shown.

Similarly, P _{x (i-1)} , P _{y (i-1)} , and P _{z (i-1)} are x, y of the position vector P _i-1 ^* representing each point on the curved surface to be deformed. , And the component in the direction along the z-axis. Also, U _x , U
_y and U _z are x, y, and x of the deformation amount vector U ^{* in} the equation (1).
It represents a component in the direction along the z-axis.

As is clear from the equation (3), the component J _{x in} the x direction of the degree-of-freedom restriction function vector J ^* is expressed by the following equation J _x = P _{x (i-1)} + U _x * J ₀ (4) As described above, it has a term obtained by multiplying the degree of freedom limiting parameter J ₀ by the deformation amount U _x in the x direction. At this time, the degree-of-freedom restriction parameter J ₀ represents the difficulty of movement in the x direction at each point in the deformation region VCF by, for example, numerical values 0 to 1. For example, in the case of a person's face, a portion with a small amount of fat in the surface portion is more difficult to move than a portion with a large amount of fat, so a relatively small value is set. Also, since the surface part far from the position connected to the bone is easier to move than the near surface part,
The value of the degree-of-freedom limiting parameter J ₀ becomes relatively large. Further, for example, since the pupil is located at a position unique to each person and cannot be moved by plastic surgery, the value of the degree-of-freedom limiting parameter J ₀ in the pupil portion becomes 0.

In this way, the x component of the degree-of-freedom limiting function vector J ^* represented by the equation (4) is the deformation amount vector at the point P _{x (i-1) in} the x direction on the curved surface to be deformed. This is expressed by a so-called recurrence formula in which a value obtained by multiplying the x-direction component U _x of U ^{* by} the degree-of-freedom limiting parameter J ₀ is added.

Further, the y-direction component J _y of the degree-of-freedom limiting function vector J ^{* in} the equation (3) is expressed by the following equation J _y = P _{y (i−1)} + U _y * J ₁ (5). The expression (5) expresses exactly the same content as the above-mentioned content applied to the expression (4) in the y-axis direction, and the y-direction component P _{y (of} the curved surface P _i-1 ^* to be deformed P _{y ( i-1)} is represented by a recurrence formula in which a value obtained by multiplying the deformation amount vector U _y by the freedom degree limiting parameter J ₁ in the y direction is added. Here, the degree-of-freedom restriction parameter J ₁ represents the ease of movement in the y direction by the values 0 to ₁ when the deformation calculation is performed.

Further, the z-direction component J _z of the degree-of-freedom limiting function vector J ^{* in} equation (3) is based on the degree-of-freedom limiting parameter J ₂ in the z-direction, and the height P _{z (i-1)} of the curved surface after deformation is given. When + U _z is larger than the degree-of-freedom parameter J ₂ like P _{z (i-1)} + U _z > J ₂ (6), the following equation J _z = P _{z (i-1)} + U _z ... As expressed by (7), the position in the z direction before the deformation is changed to a position in which the z direction component of the deformation amount vector U ^* is added.

On the other hand, the position P _{z (i-1)} + U _z after the transformation operation is equal to or smaller than the degree-of-freedom parameter J ₂ like P _{z (i-1)} + U _z ≦ J ₂ (8) In this case, the z component J _{z of the} degree of freedom limiting function vector J ^*
_Is fixed to the minimum value J ₂ in the z direction as represented by J _z = J ₂ (9).

Here, the degree-of-freedom restriction parameter J ₂ is the tomography apparatus 15
Based on the internal structure data IND obtained from, the height position of the skull at that position (position in the z direction) is represented. Therefore, when the calculation result of the expression (6) is obtained, it means that the deforming operation at the deforming position is under the condition of being performed outside the bone.

On the other hand, when the calculation result has a value satisfying the condition of Expression (8), it means that the deforming operation must be performed at a position lower than the bone (in other words, inside the bone). ing. If an attempt is made in such a condition, the bone must be shaved, and it can be said that there is a condition in which a plastic surgery cannot be practically carried out. Therefore, under such a condition, in the z direction. The value of the degree-of-freedom restriction function vector J ^* of is restricted so as not to go to a lower position in the bone position J ₂ .

By operating the track ball 8, the lever 9 and the mouse 10 which constitute the parameter input means in this manner, the deformation amount vector U ^* is obtained based on the equation (2), and the deformation amount vector U ^* is obtained in the x, y and z directions. The components are position vectors P _{x (i-1)} , P _{y (i-1)} , P _z before deformation under the conditions of the degree-of-freedom limiting parameters J ₀ , J ₁ , J ₂ based on the equation (3), respectively. _(i-1)
Is added to obtain the x-, y-, and z-direction components J _x , J _y , and J _{z of} the transformed position vector J ^* . The deformation calculation is performed by calculating the recurrence formula represented by the formula (3) every time the parameter input means is deformed, so as to calculate the deformation surface based on the position vector P _i-1 ^* before the deformation. The position vector J ^* representing P _i ^* is repeatedly calculated recursively.

As a result of repeating this recurrence operation N times, the position vector representing the final deformed surface P _N ^* is N times the position vector representing the point P ₀ ^* of the original surface SOR before the start of deformation. It is obtained as a degree-of-freedom limiting function vector J ^* obtained by adding the sum total of the deformation amounts (that is, the total deformation amount) sequentially obtained by the deformation calculation (i = 1 to N).

Then, the operator looks at the patient's face displayed as the original surface SOR on the display screen DSP of the display device 3 by the television camera 6, and the portion to be shaped is applied to the action point CP _i.
By designating ^* and the deformation region VCF surrounding it, and designating the deformation vector V _i ^* , the portion to be deformed from the pre-deformation curved surface P _i-1 ^* and its deformation mode are determined based on the operator's judgment. Can be specified arbitrarily.

Then, by re-specifying the parameters that determine the vector field function F _i and the deformation vector V _i ^* , the size of the deformation region VCF, the deformation rate distribution of the deformation curved surface, and the deformation direction can be similarly determined by the operator. It will be possible to reconfigure based on this.

In this way, the operator recursively performs an operation of applying a deformation having a desired size in a desired position, in a desired position, with respect to the curved surface before the deformation every time the deformation operation is executed once. Can be stacked as desired. As described above, as described above with respect to the expression (3), based on the shape of the bone as the internal structure of the face, the condition of the ease of movement of the epidermis and the condition of the restriction to the range in which shaping is impossible are satisfied. However, it is possible to carry out an operation of creating an effective curved surface that allows actual surgery.

The curved surface calculation device 2 of the shaping shape creation device 1 of FIG.
Deformation control data for converting the coordinate position of each point on the original surface SOR into the position vector P _i ^* representing the point in the three-dimensional space by the curved surface creating method described above with respect to the expressions (1) to (9). DEF is generated in the image data processing control device 5, and the image conversion device 4 is generated by the transformation control data DEF.
Control conversion. As a result, the image conversion device 4 causes the video input signal VD input by the television camera 6 on the free-form surface represented by the deformation control data DEF.
Perform image conversion processing such as pasting _IN (this is called mapping).

Here, as the image conversion apparatus 4, the one disclosed in Japanese Patent Laid-Open No. 58-19975 can be applied, and the input video signal VD _IN is mapped on the free curved surface by the following means.

That is, first, the original surface SOR on the xy coordinates where the input video signal VD _IN is represented is divided into regions of a size as necessary,
By performing a transformation operation based on the transformation control data DEF on the representative points of each divided area, the coordinates are transformed on the free-form surface.

Thus, the converted image based on the representative points is formed on the free-form surface corresponding to the deformation control data DEF, but the image conversion device 4 continues from the four representative points around the center of each converted representative point. , Forming a parallelogram area of a predetermined size including the representative point of the center, based on the image information of the representative point of the center for each pixel included in the parallelogram area Perform interpolation calculation. This interpolation calculation is obtained by executing, for example, a linear calculation according to the position of each pixel in the parallelogram.

In this way, the original image data representing the video input signal VD _IN is subjected to image conversion processing using the representative points, and interpolation calculation processing is performed based on the converted representative points to obtain the converted image. By doing so, the conversion conversion process of the image conversion device 4 can be performed in real time in practical use.

Thus, if the free-form surface is repeatedly deformed by repeatedly changing the deformation control data DEF by the parameter input means, the image conversion device 4 calculates it in real time and displays it on the display screen of the display device 3. It is possible to display the transformed image each time, which has the content in which the image represented by the original surface SOR is pasted on the transformed free-form surface, and thus it is possible to interactively transform the image. It will be.

In the case of this embodiment, the image data processing control device 5 uses a Gaussian distribution function as the vector field function V _i ^* , and
A circular or elliptical area can be designated as the deformation area VCF.

At this time, the vector field function F _i is As represented by, the action point CP on the xy plane
An ellipse (α _i ≠ β _i ) or a circle (α _i ) whose radii in the x and y directions are α _i and β _i centered on _i ^* (X _i , Y _i ).
= Β _i ), as shown in FIG.
A Gaussian distribution function is exhibited in the direction (in the case of FIG. 4, only the x direction is shown).

Therefore, the deformation vector U ^* is Will be represented by

In doing so, the operator is the vector field function F
_{For i} , the parameter of the action point CP _i ^* is set to the coordinates (X _i , Y _i ), and the radius α _i and β _i in the x direction and the y direction are set as the parameters of the deformation region VCF, and the deformation vector V is set. Set the _i ^* parameter. Thus, the operator can apply the action point CP _i ^* (X _i , Y
_i ) as a center, with respect to a circular or elliptical deformation region VCF having radii α _i and β _i , the action points CP _i ^* (X _i , Y _i )
Deformation such that the deformation rate smoothly converges to 0 so that a Gaussian distribution curve is drawn along the periphery of the deformation vector V _i ^{* in} the direction of the deformation vector V _i ^{* set} at A curved surface can be obtained.

Thus, of the curved surface P _i-1 ^* before deformation, a local region VCF centered on the action point CP _i ^* on the original surface SOR is represented by a Gaussian distribution function in the direction of the deformation vector V _i ^*. It is possible to obtain a deformed surface P _i ^* that exhibits a smooth free-form surface. In this way, it is possible to create a face image that represents an image of a face that is as soft as a human face.

In practice, the operator uses the mouse 10 of the parameter input means to set the parameters X _i and Y _i for setting the action point CP _i ^* on the xy plane where the original surface SOR is represented.
And the coordinates (X _i , Y _i ) of the action point CP _i ^* are specified in the expressions (10) and (11).
At this time, the action point CP _i ^* is displayed by the cursor 14 displayed on the display screen of the display device 3.

Further, the operator uses the lever 9 to set the parameters α _i and β _i for determining the size of the deformation region VCF, and also the parameters for the direction and height of the deformation vector V _i ^* .

Further, the operator can use the track ball 8 to set the viewpoint position with respect to the curved surface, and thus arbitrarily change the orientation of the three-dimensional curved surface displayed on the display device 3.

In response to such an operator's input operation, the curved surface computing device 2 executes the processing procedure shown in FIG.
Image conversion processing of the video input signal VD _IN is executed.

That is, the central processing unit (CPU) provided in the image data processing control device 5 starts the processing procedure in step SP1 and then, in step SP2, sets the position vector P ₀ ^* representing the original surface SOR to the curved surface calculation device 2 It is set in the curved surface data memory 12 (FIG. 6 (A)) provided in. Here, the image data input to the curved surface data memory 12 represents a front image of the patient's face taken by the television camera 6.

Subsequently, the CPU proceeds to the next step SP3 to input the parameters α _i , β _i , X _i , Y _i and V _i ^* set by the operator using the lever 9 and the mouse 10.

The CPU of the image data processing control device 5 executes the next step S
At P4, after the viewpoint position data input from the track ball 8 by the operator is fetched, step S
Move to P5. This step SP5 executes the calculation described above in the equation (3). Here, the position vector P _i-1 ^* (x, y) before transformation uses the one set in the curved surface data memory 12, and each parameter α _i , β _i ,
As X _i , Y _i , and V _i ^* , those set in step SP3 are used.

In addition to this, the degree-of-freedom limiting parameters J ₀ , J ₁ , J
₂ uses data stored in advance in the degree-of-freedom limiting parameter memory 13. Here, the storage of data in the degree-of-freedom limiting parameter memory 13 is based on the internal structure data IND obtained from the tomography apparatus 15 in advance in the image data processing control device 5 at x at each coordinate position of the front image of the patient. Degree of freedom limit parameters J ₀ , J in the y and z directions
₁ and J ₂ are calculated and stored in the degree-of-freedom parameter memory 13.

Subsequently, in step SP6, the CPU of the image data processing control device 5 causes the image conversion device 4 to form a curved surface represented by the modified position vector P _i ^* calculated in step SP5, and causes the display device 3 to perform the formation. Display it.

In this state, the CPU of the image data processing control device 5
By continuing to display the curved surface P _i ^* , at the next step SP7, the operator confirms whether or not the degree of deformation is adapted to the operator's request while observing the display on the display device 3. After that, the CPU of the image data processing control device 5 moves to the next step SP8 and determines whether or not the operator inputs the confirmation signal.

If a negative result is obtained here, the CPU of the image data processing control device 5 returns to the above-mentioned step SP3 and returns to the state of waiting for the setting of new parameters.

At this time, the operator resets the new parameters in steps SP3 and SP4, recalculates the modified arithmetic expression in steps SP5 and SP6, and then displays an image based on the calculation result on the display device 3. Then, in step SP8, the operator is again made to judge whether or not the deformation is as requested.

In this way, the CPU of the image data processing control device 5 executes the steps SP3-SP4-SP5-SP6-SP7-SP8-.
By the loop LOOP1 of SP3, the point of action CP _i ^{* is} repeatedly applied until the operator can make a deformation that meets his or her demand ^.
Position, the size of the deformation region VCF, the deformation vector V _i ^*
The direction and height of can be reset.

Eventually, when the operator is satisfied with his / her setting operation and inputs a setting end signal to the image data processing control device 5, the C
The PU moves to the next step SP9 and sets the data α _i , β _i , X _i , Y _i , and V _i ^* set in the command list memory (see FIG. 6 (B )) 11 is stored in the parameter memory area N = 1 corresponding to the first setting operation, and then step SP10
Then, the number of operations i is incremented by 1 (i = 2), and the process returns to step SP11.

This step SP11 is a step for confirming whether or not the operator has finished the deformation operation. When the operation end command is not input from the operator, the CPU of the image data processing control device 5 gives a negative result in step SP11. As a result, the loop LOOP2 is passed to return to the above-described step SP3, and the operator waits for the second deformation operation (N = 2) by the operator.

In this state, the operator can
For the curved surface created by the second screen deformation operation,
The second curved surface deformation operation can be performed. Thus, with respect to the point of action CP ₂ ^* different from the point of action CP ₁ ^* deformed by the first deformation operation, the operator can again execute the deformation operation that meets his request.

In the second modification operation, the image data processing control device 5 calculates, in step SP5, a modified image viewed from the viewpoint position set in step SP4 based on the parameter data fetched in step SP3, and proceeds to step SP5. After being displayed on the display device 3 at SP6, a series of transformation operations for storing the parameter data input at step SP9 in the command list memory 11 are executed.

Similarly, the CPU of the image data processing control device 5
Each time the operator performs a new deformation operation, the above deformation processing and the display of the processing result on the display device 3 are executed, and then the operation of storing the parameter data in the command list memory 11 is repeated.

When the operator finishes all the deformation processes, the image data processing control device 5 responds accordingly to step SP11.
To obtain a positive result in step SP12
Then, the program ends.

Therefore, according to the orthopedic shape display device 1 having the configuration shown in FIG. 1, while displaying the face of the patient on the display device 3, the doctor specifies the portion to be subjected to orthopedic surgery as the deformation region VCF as necessary, By inputting the parameter representing the deformation amount vector U ^* corresponding to the deformation amount to be operated by the parameter input means, the deformed image (that is, the face after shaping) can be displayed on the display device 3. Therefore, it is possible to make a decision while consulting the contents of the plastic surgery while showing the patient the face after the plastic surgery displayed on the display device 3.

Thus, the deformation calculation process executed in the image data processing control device 5 is performed by the freedom degree limiting parameter J ₀ ,
By being executed on the basis of a conversion formula including J ₁ and J ₂ , the easiness of movement of the surface portion of the face as a characteristic of the human face, in relation to the bone forming the internal structure with respect to the epidermis portion. It is possible to create a practically effective orthopedic image in which conditions such as that there is a limit to the above and that the orthopedic surgery cannot be performed at a position deeper than this are effective.

Incidentally, in the aforementioned embodiment, it has dealt with the case of using a Gaussian distribution function as a vector field function F _i, may apply various ones not limited to this vector field function F _i.

Further, in the above-described embodiment, the embodiment was described in which the present invention was applied to the case of obtaining a post-shaping image when shaping a human face, but the present invention is not limited to this and the same applies to the case of shaping a body. The present invention can be applied.

Furthermore, the present invention is not limited to the shaping of a human face or human body, but can be effectively applied to the case of designing an exterior member (which is called a body) of an automobile or an electric product as shown in FIG.

In automobiles and electric appliances, as shown in FIG. 7, a body 22 is provided so as to cover the inner structure 21 formed of, for example, a dolly, so that a feature of the external shape is provided. Actually, body 22 is part 22
It is fixed to the internal structure 21 at A and 22B, and by maintaining the intermediate portion 22C between the fixing portions 22A and 22B in a state of being floated from the internal structure 21, the outer shape of the intermediate portion 22C is required. Appearance characteristics can be created by deforming accordingly.

However, as shown by the circle X, the intermediate portion 22C has a smaller degree of freedom of movement as it gets closer to the fixed portion 22A, and has a greater degree of freedom of movement as it moves away from the fixed portions 22A and 22B. .

It should be noted that in FIG. 7, the circle line X represents an allowable range in which it can be deformed depending on its radius, and thus, the larger the radius is, the more freedom there is.

Therefore, when designing a body such as an automobile or an electric product as shown in FIG. 7 by using the shaping display device 1 of FIG. 1, the internal structure data IND obtained from the tomography device 15 of FIG. Instead of inputting the internal structure data IND for the internal structure 21, the degree-of-freedom parameters J ₀ , J ₁ , J are calculated based on the data of the ease of movement represented by the circle X. if to create a _2, it is possible to design the shape of the body 22 in a range compatible with the structure of the practical internal structure 21.

For example, in the case of FIG. 7, the radius of the circle X in the portion of the intermediate portion 22C of the body 22 far from the fixing portions 22A and 22B is quite large, but the protruding portion 21A of the internal structure 21 projects into this portion. Therefore, it is not practically effective to deform the body 22 into a shape that abuts against it. Regarding this point, the image data processing control device 5 of FIG.
Executes a transformation operation using the degree-of-freedom limiting parameters J ₀ , J ₁ , and J ₂ stored in the degree-of-freedom limiting parameter memory 13 to add the limitation imposed in relation to the internal structure to the body. By being able to execute the transformation operation of, the transformation processing that is practically effective and efficient can be performed.

H As described above, according to the present invention, the shape after shaping can be displayed and visualized by a simple operation of setting and inputting parameters by the parameter input means. In particular, according to the present invention, since the deformation calculation is executed by including the degree-of-freedom limiting parameters J ₀ , J ₁ , and J ₂ , it is possible to easily obtain a shaped shape display device capable of creating an effective shaped shape. You can

[Brief description of drawings]

FIG. 1 is a block diagram showing an embodiment of a shaped display device according to the present invention, FIG. 2 is a schematic diagram used for explaining the original surface SOR, and FIG. 3 is a schematic line showing a display on the display device 3. 4 and 5 are schematic diagrams for explaining the vector field function F _i used for the calculation in the image data processing control device 5, and FIG. 5 is a flow chart showing the curved surface deformation processing procedure of the image data processing control device 5. FIG. 6 is a schematic diagram showing a memory provided in the curved surface calculation device 2, and FIG. 7 is a schematic diagram showing another embodiment of the present invention. 1 ... Shaping shape creation device, 2 ... curved surface calculation device, 3 ...
Display device, 4 ... Image conversion device, 5 ... Image data processing control device, 6 ... Television camera, 7 ... Patient's head, 8 ... Track ball, 9 ... Lever, 10 ... Mouse, 15 ... tomography device, 21 ... internal structure, 2
2 ... Body.

Claims (3)

[Claims] 1. An image displaying a shaping object is represented by coordinates on an original surface, a predetermined deformation area including an action point is designated for the image on the original surface, and each point in the deformation area is designated. A vector field function F _i representing a relative deformation rate is determined, a deformation vector V _i ^* representing a deformation amount and a direction at the action point of the deformation region is specified, and the deformation vector V _i ^* and the vector field function F _i are specified. _i give the position vector U ^* representing the amount of deformation of the curved surface of O connexion the deformation area to multiplying the position vector U ^* representing the deformation amount represents the ease of movement of the located portion of the shaping object The image on the original surface is modified by modifying the position vector P _i-1 ^* representing the surface before modification by the position vector representing the modified amount after modification by the degree of freedom restriction parameter. Position vector representing the curved surface after deformation of Get Le _P ^{i *.} A method for creating a shaped shape characterized by the above. 2. The degree-of-freedom limiting parameter has first and second parameters J ₀ and J ₁ which represent the ease of movement in the x and y directions orthogonal to the deformation vector V _i ^* , and the deformation amount. Claim ^{: 1.} The x- and y-direction components U _x and U _y of the position vector U ^* representing the above are multiplied by the parameters J ₀ and J ₁ , respectively, to obtain the x- and y-direction components of the modified deformation amount. The method for creating a shaped shape according to the first item of the range. 3. The degree-of-freedom limiting parameter has a third parameter J ₂ representing the position of the internal structure to be shaped, and a position vector U ^* representing the amount of deformation determines the surface before deformation. When the represented position vector P _i-1 ^* is transformed,
The position in the z direction after the deformation is the third parameter J ₂
The shaped shape creating method according to claim 1, wherein if the value is smaller, the z-direction component of the position vector P _i ^* representing the deformed curved surface is fixed to a predetermined value.