JP2008003132A - Virtual reality creating apparatus and design method thereof - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide a virtual reality creating apparatus which designs a rationalizing system by saving on labor for structural calculation and accelerating the calculation, and also to provide a design method of the virtual reality creating apparatus. <P>SOLUTION: The design method of the virtual reality creating apparatus comprises: provided that an x-direction and a z-direction are vertical to each other in a plane and a y-direction is vertical to the plane, a first process to perform a projection simulation between a screen 2 and a projector 3 and to project the image from the projector 3 without deficiency; a second process to calculate the centroid of a main part based on the positional relation between the screen and the projector obtained at the first process, and to calculate the weight of the main part based on the weight of each element of the main part; a third process to select a support 4 durable against the weight of the main part 1, to make the x and z centroid components of the support 4 coincidence with or closest to the x and z centroid components of the main part 1; and a fourth process to make a calculation so that the support 4 decided to be arranged at the third process is not be buckled by the weight of the main part 1. <P>COPYRIGHT: (C)2008,JPO&INPIT

Description

  The present invention relates to a virtual reality generating device that gives a viewer a high immersive feeling by displaying a stereoscopic image with a wide viewing angle on a real scale without distortion, and a design method for the virtual reality generating device.

Conventionally, as shown in Japanese Patent No. 3387487 (Patent Document 1), a virtual reality generating device is known. As shown in FIG. 15, this virtual reality generating apparatus performs the layout design of the projector and the reflecting mirror 102 to project a high-quality image without distortion on the spherical shape type wide viewing angle screen 101, and distortion corresponding to the spherical screen. Distortion correction processing 103 corresponding to the viewpoint position of the observer, such as correction means and projection means installation position correspondence correction means, is performed.
Japanese Patent No. 3387487

  However, in the virtual reality generation apparatus of the above-described conventional example disclosed in Japanese Patent No. 3387487, the structural design is performed at the system production stage and is not considered at the layout design stage. It must be collected and input, and labor-saving and speedup are not done.

  The present invention has been invented in view of the above-described background art, and the problem is that a virtual reality generation device and a virtual reality that can design a rational system by saving labor and speeding up the structural calculation. It is to provide a design method of a generation device.

  In order to solve the above-mentioned problem, in the invention described in claim 1 of the present application, a virtual reality generation apparatus comprising a main part having a screen and a projector for projecting an image on the screen, and a column supporting the main part. This is a design method, and when the x and z directions are in-plane directions perpendicular to each other and the y direction is perpendicular to the plane, a projection simulation is performed between the screen and the projector to project the projector image without loss. A first step of calculating the center of gravity of the main part from the positional relationship between the screen and the projector obtained in the first step and calculating the weight of the main part from the weight of each element of the main part; Select the strut that can withstand the weight of at least the center of gravity of the strut and make the x and z components coincide with the center of gravity x and z components of the main part, A third step closer, is characterized by including a fourth step of calculating as not buckle arrangement determined pillar by the weight of the main part in the third step.

  Further, in the invention according to claim 2 of the present application, in the design method of the virtual reality generating device according to claim 1, after the fourth step, a step of changing the height of the support column again is included. It further includes four steps.

  Further, in the invention according to claim 3 of the present application, in the design method of the virtual reality generating apparatus according to claim 1, the method further includes a step of rotating the main part again after the fourth step, and the third step after this step. And a fourth step.

  The invention according to claim 4 is characterized in that it is formed by using the design method for a virtual reality generation apparatus according to any one of claims 1 to 3.

  In the design method of the virtual reality generating device according to the first aspect of the present invention, in particular, by including the first step to the fourth step, the structural calculation can be labor-saving and speeded up as compared with the prior art. Can do.

  In the design method of the virtual reality generating apparatus according to the second aspect of the present invention, in particular, the method includes a step of changing the height of the support again, and further includes a fourth step after this step. When the height of the main part of the system is changed, the calculation of the main part can be omitted and the structure can be redesigned.

  In the design method of the virtual reality generating apparatus according to the third aspect of the present invention, in particular, after the fourth step, a step of rotating the main part again is included, and after this step, the third step and the fourth step are further performed. Therefore, when considering rotation around the x axis with respect to the system main part designed in advance, the structure can be redesigned by partially omitting the calculation of the main part.

  In the virtual reality generating apparatus according to the fourth aspect of the present invention, by including the first step to the fourth step at the time of design, the structure calculation can be labor-saving and speeded up as compared with the prior art.

  Hereinafter, the present invention will be described based on embodiments shown in the accompanying drawings.

  1 to 8 show a virtual reality generation device and a design method of a virtual reality generation device according to a first embodiment corresponding to claims 1 and 4 of the present application.

  This virtual reality generation device is a virtual reality generation device that includes a main part 1 having a screen 2 and a projector 3 that projects an image on the screen 2, and a column 4 that supports the main part 1. When the x and z directions are in-plane directions perpendicular to each other and the y direction is a direction perpendicular to the plane, at least the x and z components of the center of gravity of the support column 4 are made to coincide with the centroids x and z components of the main part 1. Or the closest to the x and z components of the center of gravity of the main part 1. The design method of the virtual reality generation apparatus includes a main part 1 having a screen 2 and a projector 3 that projects an image on the screen 2, and a virtual reality generation including a support column 4 that supports the main part 1. When the x and z directions are in-plane directions perpendicular to each other and the y direction is a direction perpendicular to the plane, a projection simulation is performed between the screen 2 and the projector 3. The center of gravity of the main part 1 is calculated from the first step of projecting the image without any defects and the positional relationship between the screen 2 and the projector 3 obtained in the first step, and the weight of the main part 1 is calculated from the weight of each element of the main part 1. And the selection of the support column 4 that can withstand the weight of the main part 1, at least the x and z components of the center of gravity of the support 4 are made to coincide with the center of gravity x and z components of the main part 1, or The center of gravity of x parts 1, includes a third step closer most z components, a fourth step of calculating as not buckle the support post 4 arranged determined by the weight of the main part 1 in the third step.

  Hereinafter, the virtual reality generation device and the design method of the virtual reality generation device of this embodiment will be described in more detail.

  As shown in FIG. 1, the virtual reality generating apparatus according to the present embodiment includes a screen 2, a projector 3, and a mirror 5 as components, and is installed on the screen 2 with respect to a main part 1 in which the components are integrated. The main part 1 and the base 6 are connected by the support columns 4 to support the entire virtual reality generation apparatus. An image projected from the projector 3 is displayed on the screen 2. Although a hemispherical dome type screen is considered here, it can be applied to any screen shape. The projector 3 projects an arbitrary image on the screen 2 via the mirror 5. It is also possible to project directly without using the mirror 5. The mirror 5 reflects the image from the projector 3 to extend the projection distance.

  For each of these components, the shape, center of gravity, and weight data are held in the projection data DB. Projection simulation, intensity calculation, and the like are performed by an arithmetic device that is integral with or independent of the virtual reality generation device, necessary input is performed by the input unit, and calculation is performed by the processing unit and output to the display unit. Temporary storage stores necessary data as appropriate. The arithmetic device accesses the steel material DB and the projection data DB, and acquires necessary information.

  Next, the design method of the virtual reality generation device of this embodiment will be described in order from the first step based on the flowchart shown in FIG.

  As shown in FIG. 2, in the first step, first, the positional relationship between the viewpoint of the observer 7 and the screen 2 is determined, and the projector 3 and the mirror 5 are set at optimal positions where the image can be projected without any defects. Think about placement. In the simplest case, if the center of the screen 2 and the center of the projector 3 are arranged to coincide with each other, the image from the projector 3 is projected on the screen 2 without being lost. However, since the viewpoint position of the observer 7 is between the screen 2 and the projector 3, the projected image 8 is interrupted by the observer 7, and a shadow portion 9 is generated (FIG. 2A). Also, if the projector 3 is between the screen 2 and the viewpoint position, the projector 3 main body will block the field of view, resulting in loss of video. Therefore, the position of the projector 3 is moved from the center to the periphery so that the shadow portion 9 does not appear on the screen 2 (FIG. 2B). Further, if the screen 2 and the projector 3 are separated from each other, the depth size of the main part 1 is large and difficult to install. (FIG. 2C).

  Here, if the position of the screen 2, the shape, the position of the projector 3, the projection image parameter, the position and orientation of the mirror 5, and the viewpoint position of the observer 7 are given as data, the image projected on the screen 2 from there is calculated. Can be sought. The positions and orientations of the projector 3 and the mirror 5 are changed as needed, and the positions of the projector 3 and the mirror 5 so that there is no deficiency in the calculation result image are considered as the installation possible range of the device.

  Next, one optimal arrangement is selected from the above installation range. Here, the arrangement that minimizes the required depth (z-axis direction) distance is defined as optimal. As shown in FIG. 3, the c arrangement is optimal in this case.

In the second step, the weight and the position of the center of gravity of the main part 1 are calculated with respect to the arrangement determined in the first step. As shown in FIG. 4, for each component i,
Weight w _i
Position P _i = (X _i , Y _i , Z _i )
Center of gravity g _i = (x _gi , y _gi , z _gi )
G _i = (X _i + x _gi , Y _i + y _gi , Z _i + z _gi ) = (X _gi , Y _gi , Z _gi )
And In this case, the position P _i is a world coordinate based on the origin O (the top surface of the system base) in the entire system. The center of gravity g _i is the position of the center of gravity in object coordinates with respect to the origin O _{i of the} element i. The center of gravity G _i is the position of the center of gravity of the element i in the world coordinate system.

Here, the origin of each object corresponds to, for example, the center of the lens in the case of the projector 3 and the center point of the original sphere (the center of the circle of the cut surface) in the case of a hemispherical dome type screen. If the weight and the center of gravity of the main part 1 are W and G = (X _g , Y _g , Z _g ), respectively, W = Σw _i
X _G = (ΣX _gi w _i ) / Σw _i (∵Σ (X _gi −X _g ) w _i = 0)
Z _G = (ΣZ _gi w _i ) / Σw _i (∵Σ (Z _gi −Z _g ) w _i = 0)
It becomes. Hereinafter, regarding the center of gravity G, only the position on the XZ plane is considered, and the position in the Y-axis direction is not necessary, so Y _g = 0.

  In the third step, the fixed position of the column 4 is obtained using the weight W and the center of gravity G obtained in the second step. First, as shown in FIG. 5, a column installation area 13 is obtained for the first element connected to the column 4. A normal vector 10 in the first element is calculated from the shape data of the first element. At this time, when the first element is the screen 2, the normal vector 10 is obtained for the screen surface 11, and when it is any other element, the normal vector 10 is obtained for the object surface 12.

The object shape can be approximated by a set of planes divided by a mesh, and is defined by four points j _m = (x _jm , y _jm , z _jm ) (m = 1 to 4) for a certain plane j.

The normal vector n _j = (n _jx , n _jy , n _jz ) of j is obtained from j ₁ , j ₂ , and j _{4 as} follows.
n _jx = (y _j1 −y _j4 ) (z _j2 −z _j1 ) − (z _j1 −z _j4 ) (y _j2 −y _j1 )
n _jy = (z _j1 −z _j4 ) (x _j2 −x _j1 ) − (x _j1 −x _j4 ) (z _j2 −z _j1 )
n _jz = (x _j1 −x _j4 ) (y _j2 −y _j1 ) − (y _j1 −y _j4 ) (x _j2 −x _j1 )
Next, the direction of the normal vector 10 is determined. For each normal vector n _j , an inner product of a 0 ° vector n = (1, 0, 0) is taken.

When the angle formed by n _j and n is θ, cos φ = n _j · n / (| n _j || n |). If the first element is the screen 2, the plane j where 0 ≦ cos φ ≦ 1 is set, and if the first element is another object, the plane j where −1 ≦ cos φ ≦ 0 is set as the supportable area S. Here, the normal vector 10 may be obtained from the shape data at any time, but can be given in advance as a kind of shape data in the same manner as the shape data.

  If the support | pillar installation possible area | region S is calculated | required, as shown in FIG. 6, it will be determined whether the gravity center G calculated | required at the 2nd process is contained in S. As shown in FIG.

In the case of GεS, since the center of gravity is used as a fulcrum, it can be supported with the minimum proof stress (moment M = 0), so G is used as the fulcrum. The required proof stress is only W from M = 0. This becomes the following formula.
N = W (∵M = 0) in the case of G∈S with respect to yield strength N
In the case of G (S, since the center of gravity cannot be a fulcrum, the point G ′ = (X ′ _g , Y ′ _g , Z ′ _g ) closest to G is used as a fulcrum. Specifically, (X Search for a point G ′ in the plane j where “ _g −X _g ) ² + (Z ′ _g −Z _g ) ² = min, where M = W√ ((X Since ' _g -X _g ) ² + (Z' _g -Z _g ) ² ) is generated, the required proof stress is M + W.
G (N = W + M for S)
Next, in a 4th process, as shown in FIG. 7, in addition to the yield strength calculated | required at the 3rd process, buckling yield strength is calculated with respect to support | pillar length.

First, the column length l is obtained. The y coordinate Y _p at the column installation position of the first element is calculated with respect to the column position (X _p , 0, Z _p ) obtained in the previous step. Since the shape data is a discrete value on the mesh, linear interpolation is performed in the corresponding plane to obtain the y coordinate value y _j . y _j is a value on the local coordinate system O _i , and is assumed to be ₁ = Y _p = Y ₁ + y _j .

Next, members are provisionally determined. The conditional expression for compressive stress is based on Formulas 1 and
σ = (W + M) / A <σ _a (A: column cross-sectional area, σ _a : allowable compressive stress) (Formula 3).

However, it is (sigma) _a = (sigma) _y / (gamma) ((gamma)> = 1: safety factor), and is M = 0 in the case of Formula 1. FIG.

The conditional expression for buckling load is
4π ² EI / l ² > W (E: Young's modulus, I: secondary moment around the weak axis) (Formula 4).

However, since the both ends of the column 4 are fixed to the first element and the base 6, the buckling length l _k = l / 2.

And the steel materials which satisfy | fill Formula 3 and Formula 4 from the member DB as shown in Table 1 are selected. Here, I and A depend on the shape of the steel material, and σ _y depends on the type of the steel material. When there are a plurality of conditions that satisfy the condition, the material with the lightest unit weight is indicated as the optimum candidate. A plurality of applicable steel materials may be selected and listed.

  Therefore, in addition to the data used in the optical calculation, the structure calculation is performed simultaneously with the optical calculation using the gravity center and gravity data of each component, and the column 4 and its position corresponding to the arrangement of each element are obtained. Compared with the prior art, the structure calculation can be saved and speeded up. Moreover, a rational system can be designed from both viewpoints by performing optical and structural design simultaneously.

  In addition, since the support | pillar installation possible area | region 13 of a 1st element can be calculated only from an element's shape data, and if there is no change in the attitude of an element, there is reusability. It can also be stored in the DB. In this case, if there is no data for a certain posture (rotation angle) of a certain element, the calculation is executed (first time), and if there is data (after the second time), the data may be acquired from the DB without performing the calculation.

  9 and 10 show a virtual reality generation device and a design method of the virtual reality generation device according to the second embodiment corresponding to claims 1, 2, and 4 of the present application.

  Here, only matters different from those in the first embodiment will be described, and other matters are the same as those in the first embodiment, and thus description thereof will be omitted.

  In the first embodiment, consider that the height of the main part 1 is changed from h to h ′ after completing the calculation up to the fourth step. At this time, as shown in FIG. 10, since the positional relationship between the elements constituting the main part 1 does not change, the values before the height change are used until the third process calculation end part (of the main part 1). Weight, center of gravity, installation position of support column 4).

Since the column length is changed by changing the height, the buckling load of the column 4 is recalculated. However, the weight of the main part 1 does not change, and the value at the height h is used as it is for the compressive stress (Equation 3). As shown in FIG. 9, by changing the height from h in FIG. 9 (a) to h ′ in FIG. 9 (b), the length of the column 4 is changed from l to l ′ (l ′ = l + h′−h). ). Since the fixing condition of the support column 4 is the same as that of the height h, both ends are fixed to the first element and the base 6. Therefore, the conditional expression for the buckling load is 4π using the buckling length l _k = l ′ / 2. ² EI / 1 ′ ² > W (E: Young's modulus, I: secondary moment around the weak axis) (Formula 5).

  After that, the steel material which satisfy | fills Formula 3, 5 is selected similarly to a 4th process.

  Therefore, it is possible to redesign the structure by omitting the calculation of the main part 1 with respect to the height change of the system main part 1 designed in advance.

  FIGS. 11 to 14 show a virtual reality generation device and a virtual reality generation device design method according to the third embodiment corresponding to claims 1, 3, and 4 of the present application.

  Here, only matters different from those in the first embodiment will be described, and other matters are the same as those in the first embodiment, and thus description thereof will be omitted.

  As shown in FIG. 11, in the first embodiment, it is considered that the main part 1 is rotated about the x axis by θ after the calculation up to the fourth step is completed. Similar to the second embodiment, the positional relationship between the elements constituting the main part 1 does not change. However, the posture of each element changes due to rotation.

Angle θ rotated about the x-axis the main unit 1 around the origin O ₁ of the first element. In the O ₁ coordinate system, a certain point p = (x, y, z) moves to a point p ′ = (x, y ′, z ′) (y ′ = y cos θ−z sin θ, z ′ = z cos θ + ysin θ) (formula 6).

In the world coordinate system, the point P = (X, Y, Z) is rotated around O ₁ = (X _A , Y _A , Z _A ), and the coordinate P ′ after rotation is P ′ = (X, Y ′, Z ′) (Y ′ = Y cos θ + Y _A (1−cos θ) −Z sin θ + Z _A sin θ, Z ′ = Z cos θ + Z _A (1-cos θ) + Y sin θ−Y _A sin θ) (formula 7).

The posture of each element, that is, the shape after rotation, is obtained by substituting the coordinate value of the shape data into Equation 6. The normal vector n j of each surface _j and the angle φ formed with the base plane of n _j are calculated as in the first embodiment. Alternatively, the normal vector n _j of each surface j obtained in the first embodiment can be rotated by Equation 6 to obtain the angle φ formed with the base plane of n _j . After φ can be calculated, the column installation possible area S is obtained in the same manner as in the first embodiment.

  If S does not exist due to the shape and rotation angle of the first element, it is impossible to stand up the column 4. Therefore, the first element is replaced with another element, for example, changed from the screen 2 to the projector 3. It is necessary to examine again. However, there is no change in the weight of the main part 1, and there is no need for recalculation up to a part of the second step. In addition, when the positional relationship of each element is not changed only by replacement of the first element, the center of gravity G can also be used as the calculation result of the second step. However, if the arrangement of each element is also changed, it is necessary to start over from the first step in accordance with the first embodiment.

  As shown in FIG. 12, the entire main part 1 is translated by t in the y-axis direction so that the rotated screen 2 matches the viewpoint position. The y-coordinates of the point P ′ are y ′ + t and Y ′ + t from Expression 7, respectively (referred to as Expression 8).

  Regarding the main part 1 after adjusting the screen position, it is confirmed that the y coordinate of Expression 8 does not take a negative value. If the y-coordinate value is a negative number, the main part 1 exists under the base 6 and the system cannot be manufactured. The other element arrangement (first step) is changed, and the center of gravity position in the new arrangement is calculated (second step, but the calculation of the main part total weight W is not required).

When S exists and the entire main part is located above the base 6, the column position is determined. As in the first embodiment, the positional relationship between the center of gravity G and the supportable area S is checked,
G∈S⇒fulcrum = G, proof stress = W
G (S⇒fulcrum = point in S closest to G, proof stress = W + M
And

  Here, as shown in FIG. 13, when a certain object is rotated, the direction of gravity with respect to the object changes due to the rotation, but the position of the center of gravity does not change within the object, so G represents the center of gravity obtained in the second step. use.

  When the fulcrum position is determined, the strut length l is obtained in the same manner as in the fourth step of the first embodiment, and the strut 4 satisfying equations 3 and 4 is selected.

  FIG. 14 shows a flowchart after the rotation of the main part 1 described above. Here, as shown in * 1, if there is no supportable area 13 even if the first element is replaced, the system cannot be manufactured with the arrangement as it is, so the design is finished at this stage. Alternatively, as in * 2, other elements may be rearranged with the first element after rotation as an initial value. In the case of * 2, since the total weight W of the main part 1 does not change, only the center of gravity has to be calculated after the arrangement is completed. The subsequent flow is the same as that before the rotation.

  It is also possible to change the viewpoint height again after rotating and redesigning (second embodiment).

  Therefore, when considering rotation around the x-axis with respect to a previously designed system, the structure can be redesigned by partially omitting the calculation of the main part 1.

BRIEF DESCRIPTION OF THE DRAWINGS The principal part schematic of the virtual reality generation apparatus which is 1st embodiment of this invention. Schematic which shows the example of arrangement | positioning of the projector and mirror of the design method of the virtual reality generation apparatus. Schematic which shows the example of arrangement | positioning of the projector and mirror of the design method of the virtual reality generation apparatus. Schematic which shows the relationship of the weight, the position, and a gravity center with respect to the component of the design method of the virtual reality generation apparatus. The perspective view which shows the support | pillar installation possible area | region of the design method of the virtual reality generation apparatus Schematic for demonstrating the case where it determines whether a gravity center is included in the support | pillar installation possible area | region of the design method of the virtual reality generation apparatus. Schematic for explaining the case of calculating the buckling strength of the design method of the virtual reality generation device The flowchart which shows the process of the design method of the virtual reality generation apparatus. Schematic for demonstrating the length of the support | pillar of the design method of the virtual reality generation apparatus which is 2nd embodiment of this invention, and the height of the principal part. The flowchart which shows the process of the design method of the virtual reality generation apparatus. Schematic when the principal part of the design method of the virtual reality generation apparatus which is 3rd embodiment of this invention is rotated theta around the x-axis. The schematic diagram when the design method of the virtual reality generation apparatus is translated by t in the y-axis direction. Schematic for demonstrating the gravity center at the time of rotating the object with the design method of the virtual reality generation apparatus. The flowchart which shows the process of the second half part of the design method of the virtual reality generation apparatus. The block diagram which shows the whole structure of the virtual reality generation apparatus which is a prior art example.

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 Main part 2 Screen 3 Projector 4 Prop 5 Mirror 6 Base 7 Observer 8 Projected image 9 Shadow part 10 Normal vector 11 Screen surface 12 Object surface 13 Propable installation area

Claims (4)

  A design method of a virtual reality generation device including a main part having a screen and a projector that projects an image on the screen, and a support supporting the main part, wherein the x direction and the z direction are orthogonal to each other on a horizontal plane If the y direction is perpendicular to the horizontal plane, a projection process is performed between the screen and the projector to project the projector image without any defects, and the screen obtained in the first process The second step of calculating the center of gravity and the weight of the main part from the x, y, and z components of the projector, the third step of selecting a column that can withstand the weight of the main part, and the column determined in the third step are mainly used. And a fourth step of calculating so as not to buckle due to the weight of the part.   The method for designing a virtual reality generation apparatus according to claim 1, further comprising a step of changing the height of the support again after the fourth step, and further including a step similar to the fourth step after this step.   The method for designing a virtual reality generation apparatus according to claim 1, further comprising a step of rotating the main part again after the fourth step, and further including steps similar to the third step and the fourth step after this step.   A virtual reality generation device designed using the virtual reality generation device design method according to claim 1.

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