JP4323895B2 - Effect control method and effect control device for drawing by wavefront - Google Patents

Description

  The present invention relates to a wavefront drawing method and apparatus, and more particularly to a wave peak by concentrating a wave at an arbitrary coordinate position in a finite water area by a multi-divided wave forming unit arranged along a boundary line of the finite water area. The present invention relates to a wavefront drawing method and apparatus that can be applied to an amusement facility by forming a valley and a valley so that an arbitrary image is drawn by displaying unevenness on a water surface in a finite water area.

  In general, wave generators generate waves on the water surface of the aquarium by attaching and moving upper and lower plungers, rocking plates, etc. along the wall surface of the aquarium, and use this for motion performance testing of ships, etc. It is applied to pools that generate waves.

  As a conventional wave generator, as described in Patent Document 1, there is a multi-divided wave generator capable of generating multidirectional waves. This wave making device is provided with a wave making machine divided into a plurality of block units, and this allows a plurality of block control units to independently feedback control the flap position and period of each wave making machine. is there. This suggests that what could only be made as simple as a parallel wave would create a wave that could simulate the wave conditions in the real sea area.

On the other hand, when the actual ocean wave situation is to be realized in the aquarium, it effectively absorbs the reflection of the wave formed by the wave generator from the aquarium wall surface and realizes an infinite aquatic wave field in the finite water area. There is a need. Patent Document 2 shows a split-type absorption wave making apparatus for realizing this, and when making the wave by moving the float up and down, the displacement and speed acting on the float are detected, and the attenuation is proportional to the speed. The force that absorbs the wave is calculated from the force coefficient and the restoring force coefficient proportional to the displacement. Then, the difference between this absorption force and the force acting on the actuator that drives the float for wave generation is added sequentially at the next time to enable complete wave absorption.
Japanese Patent Laid-Open No. 8-200247 "Performance Evaluation of New Wave Tank" Naito Hayashi et al. (Kansai Shipbuilding Association No.231 March 1999)

  By the way, when trying to use the wave generator in an amusement facility, there is no case applied other than the use by the pool described above. In particular, if graphics such as letters and numbers and moving images can be drawn and displayed on the surface of the water, it can be applied to an amusement facility, thereby expanding the application of the wave making device.

  The present invention can be used for amusement facilities and the like by using waves formed on the surface of the water to display arbitrary characters and figures on the surface of the water, as well as animation drawing by wave peaks and valleys. An object of the present invention is to provide a method and an apparatus for controlling the effect of drawing with a wavefront so that the display can be made clear in accordance with the drawn image formation timing and the display effect can be produced. And

  In order to achieve the above object, a wavefront drawing effect control method according to the present invention provides a concentrated wave at a coordinate point position corresponding to a desired drawing point position in a finite water area surrounded by a multi-part wave-making unit. The fluid velocity in the normal direction of the wave-making unit is controlled so as to generate, and wave peaks and valleys are formed on the water surface by the concentrated wave aggregate that simultaneously generates concentrated waves on the water surface in the finite water area. In this case, the timing for forming the drawing is detected, and the effect generating means arranged in advance around the finite water area is selected and output.

In this case, the effect generating means is composed of a plurality of illumination means arranged around a finite water area, and is based on correspondence table data that defines the relationship between the drawing figure by the wavefront and the illumination means for stereoscopically displaying the drawing figure. The illumination means may be selectively lit according to the drawing figure . The illumination means may be configured to adjust the light intensity, color, and angle. Alternatively, sound generating means arranged around a finite water area may be added to the effect generating means so that sound effects are output according to the drawing timing of the wavefront.

Furthermore, the wave effect drawing effect control apparatus according to the present invention includes a multi-part wave-making unit that forms a finite water area, and includes a drive unit that generates a wave in the normal direction of each wave-making unit. A control unit for controlling the means to output a driving signal for generating a concentrated wave at a coordinate point position corresponding to a desired drawing point position in the finite water area, A collection of concentrated waves generated by the wave unit enables wavefronts and valleys to be formed on the water surface to enable drawing by the wavefront, and illumination arranged around the finite water area as an effect generating means. means is provided, the correspondence table data that defines the relationship between the illumination means for stereoscopically displaying the drawing figure and the drawing figure by the wavefront provided by the rendering time generated by the control of the arithmetic control unit Characterized by comprising as a possible selectively outputting said illumination means from the corresponding table data in accordance with the drawing figure by the illumination means.

  The present invention controls the fluid velocity in the normal direction of the wave-making unit so as to generate a concentrated wave at a coordinate point position corresponding to a desired drawing point position in a finite water area surrounded by a multi-part wave-making unit. And drawing a wave peak or valley on the water surface by a concentrated wave aggregate that simultaneously generated a concentrated wave on the water surface in the finite water area, detecting the timing in time for this drawing formation, Since the effect generating means arranged around the finite water area is selected and output, it is possible to draw arbitrary characters and figures on the water surface using the waves formed on the water surface, as well as animation drawing In addition to making it possible to perform image formation display by wave peaks and valleys, it is possible to obtain a display effect in particular so that the display becomes clear in accordance with the drawn image formation timing.

Hereinafter, specific embodiments of a drawing effect control method and an effect control apparatus using a wavefront according to the present invention will be described in detail.
The drawing effect control device with a wavefront according to the embodiment is configured to add visual and auditory effects to the wave-making function of the multi-segment wave-absorbing device. FIG. 1 shows the overall configuration of a wavefront drawing effect control apparatus, FIG. 2 (1) is a front view of one wave-making unit 10 constituting a multi-segment wave-forming absorber, and FIG. The side view is shown.

  First, as shown in FIG. 2, the divided single wave-making unit 10 has an L-shaped support frame 12, which can be erected on the bottom of the water tank. A float 14 that can move up and down is provided along the vertical plate surface of the support frame 12. The float 14 is connected to one end of a parallel link mechanism 16 provided on the upper side of the support frame 12 to move up and down. An action is given. A voice coil motor (VCM) 18 as an actuator is connected to the other end portion of the parallel link mechanism 16, and one end of the parallel link mechanism 16 is operated in the vertical direction by the voice coil motor 18. Are moved up and down along the vertical plate surface of the support frame 12. A displacement meter 20 for measuring the vertical displacement of the float 14 is provided at the link rotation fulcrum portion of the parallel link mechanism 16.

  The float 14 is formed with a curved groove portion on one side surface of the float 14 so that the floats of adjacent wave-making units can be closely joined to form a finite water area, and on the other side surface portion. Forms a ridge that fits into the groove. The wave forming units 10 having such floats 14 are arranged inside the water tank, and at this time, the floats 14 are arranged so as to be joined to the adjacent floats 14 in an uneven fitting state. A finite water area is formed by arranging a plurality of wave forming units 10 in a circle, an ellipse, or a polygon, and a traveling wave directed into the finite water area can be generated by forcibly driving the float 14 in the vertical direction. It has become.

By the way, when a finite water area is formed by the wave-making unit 10 described above, an artificial infinite water area cannot be formed unless the reflected wave is absorbed during wave formation. Therefore, in this embodiment, an absorption control system for the wave making unit 10 is constructed. This is shown in FIG. The float 14 of the wave making unit 10 of the absorption wave machine is connected to an external dynamic system composed of virtual springs and dashpots. The movement of the float 14 is subjected to force feedback control. The wave-dissipating force for extinguishing the wave consists of a dashpot damping force coefficient n (ω), a spring coefficient c (ω) as a spring restoring force coefficient, a float displacement z (t), and a velocity dz / dt 4 According to the two parameters, it is determined as follows.

  Feedback is applied by comparing the force with the wave-dissipating force actually detected from the voice coil motor 18. That is, the fluctuation of the float 14 is measured by the displacement meter 20 attached to the wave making unit 10 to obtain the displacement z (t) and the speed dz (t) / dt of the float 14. From the displacement and speed of the float 14 obtained, the displacement z is multiplied by a spring coefficient c (ω) as a restoring force coefficient, and the damping force coefficient n (ω) is multiplied by the speed dz (t) / dt. To calculate a force fa (t) for absorbing waves. By performing feedback control so that the absorption force fa (t) and the force fb (t) acting on the voice coil motor 18 always coincide with each other, complete wave absorption can be performed. In order to simultaneously perform wave generation and absorption, the wave generation force fm (t) may be added to the force during complete absorption control. Feedback control is performed independently in all the wave-making units 10 using a general personal computer as the wave-making controller 22.

  The wave forming units 10 that can absorb the reflected waves are arranged to form a finite water area, and the wave forming unit 10 is operated in the water area to generate a wave on the water surface. To draw. This can be realized as a method of drawing as a set of concentrated waves due to transient water waves. Second, the method can be drawn by an expansion method that expands a function into a sum of Bessel functions by utilizing the orthogonality of the Bessel functions by a method of superimposing cylindrical waves (described later).

The method of drawing as a collection of concentrated waves by the first transient water wave can be understood as follows.
Now, for the sake of simplicity, consider a circular aquarium. As shown in FIG. 5, the coordinate system is a space fixed coordinate system 0-XYZ, and a moving coordinate system 0-xyz obtained by rotating this coordinate system by θ around the origin is shown. Take. For the Z and z axes, the upward direction on the paper is positive. Further, a circular water tank having a radius R ₀ centered on the origin is assumed on these coordinates.

と与えられる。（１）式を極座標系に動径Ｒ、回転角βにより変換すると、

の関係から、Ｒ方向へ進む波のポテンシャルは，

となる。ここで、ベッセル関数による規則波の関係式

を用いて、数式４を書きなおすと

と表わされる。 Now, the potential of a regular wave of amplitude ζa and frequency ω that travels in the direction of the fixed object x is

And given. When the equation (1) is converted into the polar coordinate system by the radius R and the rotation angle β,

From this relationship, the potential of the wave traveling in the R direction is

It becomes. Here, the relational expression of regular wave by Bessel function

If you rewrite equation 4 using

It is expressed as

と表される。ここで、ｍは一様分布をもつランダム変数である。 Since irregular waves can be expressed by superposition of regular waves,

It is expressed. Here, m is a random variable having a uniform distribution.

となる。ここで、θ_mは波の進行方向とする。ほしい短波頂不規則波の周波数スペクトルをＳ（ω）、方向スペクトルをＤ（θ）とすると

の関係を(８)式に代入すれば希望する波動場が得られる。 Furthermore, if the short wave top irregular wave is considered to be a superposition of random waves from various directions, the velocity potential of the short wave top irregular wave is

It becomes. Here, θ _m is the wave traveling direction. The frequency spectrum of the desired short peak irregular wave is S (ω) and the direction spectrum is D (θ).

The desired wave field can be obtained by substituting the above relationship into equation (8).

Therefore, if the fluid velocity at the wavemaker position on the circumference (R = R ₀ ) determined by this velocity potential and the movement of the wavemaker are matched, the velocity potential obtained by Equation 8 is set in the water tank. It is understood that it is possible to generate a desired wave at an assumed position in the water tank.

と表せる。これをＲについて偏微分し、Ｒ＝Ｒ₀を代入すると、以下のようになり、造波機位置での法線方向の流体速度が求まる。

ただし、

The motion of the float 14 of the wave-making unit 10 can be estimated as follows from a wavefront having a predetermined wave height at an arbitrary point in a given water tank.
When the wavefront at a certain time and position is given by ζ (R, β), the velocity potential is

It can be expressed. When this is partially differentiated with respect to R and R = R ₀ is substituted, the fluid velocity in the normal direction at the wave maker position is obtained as follows.

However,

Now, a split-type piston-type wave generator is installed on all the walls of the aquarium and moves in the normal direction. Let f (R ₀ , β) e ⁻ⁱ ω ^t be the displacement of the wave ^maker . Since the motion of the wave generator does not change in the vertical direction, if the value of z = 0 (= 1) is used for e ^{kz in} equation (11), the motion speed in the normal direction of the wave generator is as follows.

数式１４を変形すると

となる。 The boundary condition at the wavemaker position is that the normal velocity of the fluid and the normal velocity of the wavemaker are the same at z = 0.

When transforming Equation 14

It becomes.

となり、

波の余弦成分、正弦成分の振幅が導かれ、その振幅と位相は

となり、造波機の法線方向速度は

となり、希望する波面ζ(Ｒ₀，β)が与えられれば、その波面を持つ速度ポテンシャルφ (Ｒ₀，β)が(１０)式で求まり、円周上にある造波機位置における変位、速度等も数式１１、数式１２で求めることができ、その変位、速度になるように造波機を制御すればよいことがわかる。 Formula 15 is Fourier transformed in the circumferential direction as shown in the following formula.

And

The amplitude of the cosine and sine components of the wave is derived, and the amplitude and phase are

The normal speed of the wave generator is

If the desired wavefront ζ (R ₀ , β) is given, the velocity potential φ (R ₀ , β) having that wavefront is obtained by the equation (10), and the displacement at the wavemaker position on the circumference is The speed and the like can also be obtained by Expressions 11 and 12, and it can be seen that the wave generator may be controlled so that the displacement and the speed thereof are obtained.

となる、過渡水波の周波数スペクトルＳ（ω）を仮定し、それぞれの周波数成分について数式１１、数式１２を解いて重ね合わせればよい。 By using the concept of transient water waves, it is possible to generate impulse waves. This requires waves across all frequencies, so

Assuming the frequency spectrum S (ω) of the transient water wave, the equations 11 and 12 may be solved for each frequency component and superimposed.

  Theoretically, if the frequency is taken from 0 to infinity, a sharp wave with a steep wall surface can be produced, but in reality the frequency range is determined by the problem of wave breaking and the ability of the wave maker. By dividing this frequency range appropriately, the potential for each frequency is solved.

  Next, the method of drawing by expanding the function into the sum of the Bessel functions using the orthogonality of the Bessel functions by the method of superimposing the second cylindrical waves is as follows.

  A wave radiated circularly from a certain vibration source on the water surface is called a cylindrical wave. When drawing is performed by generating irregularities on the water surface at a certain moment in time, drawing can also be performed on the water surface by arranging a vibration source that moves in the same time in the water tank (superimposing cylindrical waves).

ここに、Ｊ_nは第１種ベッセル関数である。 Now, a wavefront ζ (γ, θ; t ₀ ) at a certain time t = t ₀ to be drawn is assumed as follows.

Here, J _n is a first kind Bessel function.

の関係が成り立つ。この関数系｛Ｊ_n（μ_nk）｝_k=1,2,3は、区間（０，１）において直交関数系になっている。 Μ _nk is a real constant given p, and when n> −1 and p + n ≧ 0, the k-th equation of the equation pJ _n (x) + xJ ′ _n (x) = 0 in which there are infinite solutions It is a solution. Using this solution

The relationship holds. This function system {J _n (μ _nk )} _{k = 1} , ₂ , ₃ is an orthogonal function system in the interval (0, 1).

となる。 Multiplying both sides of Equation 21 by cosnθ, integrating from −π to π, multiplying both sides by rJ _n (μ _nm r), and integrating from 0 to 1, the orthogonality of the Bessel function of Equation 22 gives

It becomes.

μ_nkは波数ｋと対応しているため、
波数ｋとωの関係を表す、数式２５の分散関係式

は、

と表すことができる。 Therefore, the coefficients A _nk and B _nk of Equation 21 are as follows.

Since μ _nk corresponds to wave number k,
Dispersion relation of Formula 25 representing the relation between wave number k and ω

Is

It can be expressed as.

これにより、円筒波の重ね合わせで水面描画ができることがわかる。 In order for an arbitrary wavefront to be formed at time t = t ₀ , wavemaking must have been performed before that, so the wavefront equation 21 with the time term added is as follows.

Thereby, it turns out that water surface drawing can be performed by superimposition of a cylindrical wave.

Now, for the sake of simplicity, assuming a piston-type wave maker, and expressing the horizontal displacement of the wave maker as F (R ₀ , θ, t), the boundary condition on the wave maker surface is: Since the normal direction velocity and the displacement speed of the wave generator surface are equal, the following equation is obtained.

The normal velocity of the fluid at the wavemaker position is obtained by the following equation by substituting r = _R0 , which is the wavemaker position, after subtracting the velocity potential obtained from Equation 27 representing the wavefront from r. At this time, the wave satisfies the deep sea condition.

多分割式造波機の、ｉ番目の造波機の水平変位は、原点から見て造波位置がｘ軸とθ_iの角度にあるとすると、数式３０より以下のように求まる。

Substituting Equation 29 into Equation 28 and rearranging it using the relationship of Equation 26, the horizontal displacement of the wave generator on the water surface is as follows.

The horizontal displacement of the i-th wave-making machine of the multi-division wave-making machine can be obtained from Equation 30 as follows, assuming that the wave-making position is at the angle of the x axis and θ _i when viewed from the origin.

  Therefore, if it becomes clear what kind of cylindrical wave superposition is used for drawing, since the motion of the wave maker can be obtained from Equation 31, any figure can be reproduced in the water tank.

  Thus, according to the present embodiment, the wave-making controller 22 that controls the voice coil motor 18 of the wave-making unit 10 arranged so as to form a finite water area is provided for each wave-making unit, and the water surface is formed in the finite water area. Draw a character or figure that will be drawn by the unevenness, and set the wave height at the coordinates of the drawing position. Then, the floats 14 are moved up and down by each wave-making controller 22 so that the wave height set at this coordinate position is generated at the set time. This movement may be performed by controlling the float 14 by generating a control signal in the voice coil motor 18 so as to move at the normal velocity obtained by Expression 16 or the displacement obtained by Expression 31. Thereby, arbitrary characters and figures can be drawn on the water surface. In addition, by drawing a figure for each time, it is possible to display a moving pattern.

  As described above, a figure or the like can be arbitrarily displayed by a collection of wave height portions generated by concentrated waves on the water surface, but the apparatus for controlling the effect of drawing by the wavefront according to the embodiment is displayed. It is designed to give visual effects and auditory effects to figures. As shown in FIG. 1, lamps 24 as illumination means are arranged at appropriate intervals around the periphery of a multi-segment wave-absorbing device in which wave-forming units 10 are arranged in a circle in a water tank to form a finite water area. In addition, a speaker 26 is provided as sound generating means. The lamp 24 is provided for the purpose of adding a shade so that the drawing display by wave peaks and valleys on the surface of the water stands out, and displays a stereoscopic effect on the characters and figures to be displayed. The speaker 26 outputs a sound effect according to the drawing timing of the wavefront, thereby producing a presentation effect.

  When the height of a wave that draws a figure on the water surface that is transparent or the same color is low, it is difficult to distinguish the figure. Therefore, the lamp 24 irradiates illumination light toward the drawing area from the direction and height where the shadow is large, depending on the drawing figure. When the type of figure to be drawn is determined, the direction and illumination height that clearly expresses the maximum shadow amount and contour can be confirmed in advance, so the lamp to be illuminated with the drawing figure in advance according to the drawing figure 24 may be stored as correspondence table data, and the lamp 24 may be selectively lit according to the drawing figure. Further, when displaying an arbitrary drawing figure at a predetermined wave height, if the illumination direction is determined, a shadow area can be obtained by calculation using a projection method. It is also possible to automatically select and turn on the illumination lamp 24 having the maximum shadow area size. At this time, the illumination light from the lamp 24 can be changed in intensity and color, and the angle can be changed in accordance with the wave drawing state. Further, for example, it is possible to produce an effect by irradiating light in the direction of traveling waves with respect to traveling waves traveling simultaneously in one direction or multiple directions in a finite water area.

  In order to perform the control as described above, a processing device 30 including a computer that performs overall control of the wave-making controller 22 is provided. The processing device 30 is configured to output a float displacement as a wave forming signal to the wave forming controller 22 based on the above-described calculation result for drawing a desired graphic. At the same time, the wave forming signal from the processing device 30 is output to the illumination control device 32 and the sound generation device 34.

  The illumination control device 32 lights the lamp 24 by selecting the intensity, color, and angle at the timing of drawing a graphic in the finite water area and the direction of the traveling wave based on the wave forming signal. That is, characters and figures are drawn in the finite water area surrounded by the wave absorbing device by the wave forming signal, and the drawing timing and direction are determined by the wave forming signal. The drawing timing is shaded by obtaining the time timing that is set to be optimal for recognizing the drawing figure from the wave-making signal when the drawing wave height is maximum, and lighting the lamp 24 at this timing. It is displayed in three dimensions. The lamp 24 to be lit is selected from a table stored in advance in the memory so as to illuminate and output, for example, so as to select a lamp corresponding to the direction in which the best shading is applied to the drawing figure. Good. Further, the direction in which the shadow area is maximized may be obtained by calculation according to the figure, and the lighting lamp may be selected based on the calculation result. Further, the lamp 24 may be turned on by selecting an optimum illumination intensity, color, direction, and angle according to the shape of the wave to be drawn and the traveling direction.

  On the other hand, in the sound generator 34 to which the wave forming signal is supplied, as with the illumination timing, the time timing set to be optimal for recognizing the drawing figure when the drawing wave height is maximum is obtained from the wave forming signal, At this timing, an arbitrary acoustic signal selected according to the drawing figure is output from the speaker 26. Thereby, a sound effect is output at the display timing of the drawing figure, a production effect is added, and the use effect as an amusement facility is improved.

  FIG. 6 shows the relationship between the wave forming signal, the lighting control signal, and the audio control signal. As shown in the drawing, the lighting control for lighting the lamps 24 distributed in units of blocks according to the time history of the wave forming signal. The effect of the drawing display is improved by outputting a signal and distinguishing and outputting a predetermined audio signal.

  As described above, in the effect control method and effect control device for drawing by the wavefront according to the present embodiment, an arbitrary character or figure is drawn by a collection of concentrated waves in a finite water area surrounded by the wave forming unit 10, and at the same time, Illumination is applied from the optimal direction at the time when the drawing figure generated according to the wave signal is drawn, and the figure can be given a three-dimensional effect, so accurate drawing display can be recognized even when the wave height is low. Since the degree can be increased and the drawing speed can be increased, a merit that continuous display is possible is obtained. Further, the effect can be enhanced by arbitrarily selecting the intensity, color, or angle of illumination light from the lamp. At the same time, the effect of sound can be exerted, so that the degree of attention is increased and the effect of improving the customer suction power as an amusement facility can be obtained.

  The present invention is a machine applied to an amusement facility in which waves are concentrated at arbitrary coordinate positions in a finite water area to form wave peaks and valleys and an arbitrary image is drawn by displaying unevenness on the water surface in the finite water area. Can be used for manufacturing.

It is a block diagram which shows the whole structure of the effect control apparatus of the drawing by the wavefront which concerns on embodiment. It is the front view and side view of the wave-making unit which comprise the drawing apparatus by the wave front which concerns on embodiment. It is the top view, front view, and side view of the float of the wave-making unit. It is a block block diagram of the control system of the drawing apparatus by the wavefront which concerns on embodiment. It is coordinate explanatory drawing of the drawing method by a wave surface. It is explanatory drawing of the effect control of the drawing by a wave front.

Explanation of symbols

10 ......... Wave making unit, 12 ......... Support frame, 14 ......... Float, 16 ......... Parallel link mechanism, 18 ...... Voice coil motor, 20 ......... Displacement meter, 22 ......... Wave making Controller, 24 ... lamp, 26 ... speaker, 30 ... processing device, 32 ... lighting control device, 34 ... sound generator.

Claims (4)

The fluid velocity in the normal direction of the wave-making unit is controlled so as to generate a concentrated wave at a coordinate point position corresponding to a desired drawing point position in a finite water area surrounded by a multi-part wave-making unit, and the finite Draw wave peaks and valleys on the water surface by concentrated wave aggregates that simultaneously generate concentrated waves on the water surface in the water area, detect the timing of the formation of this drawing formation, around the finite water area in advance A drawing figure composed of illumination means arranged around a finite water area as an effect generating means arranged, and based on correspondence table data that defines the relationship between the drawing figure by the wavefront and the lighting means for displaying the drawing figure three-dimensionally A lighting effect control method using a wavefront, wherein the lighting means is selectively turned on according to the above .   2. The method for controlling the effect of drawing with a wavefront according to claim 1, wherein the illumination means can adjust the intensity, color, and angle of light.   2. The method for controlling the effect of drawing with a wavefront according to claim 1, further comprising sound generating means arranged around the finite water area as the effect generating means, wherein sound effects are output in accordance with the timing of drawing with the wavefront. A multi-divided wave forming unit forming a finite water area, and having driving means for generating a wave in the normal direction of each wave forming unit, and controlling the driving means to produce a desired drawing point in the finite water area Computation control means for outputting a drive signal that generates a concentrated wave at a coordinate point position corresponding to the position is provided on the water surface by a collection of concentrated waves generated by a multi-part wave generation unit driven by the calculation control means. Wave ridges and valleys are formed to enable drawing on the wavefront, and lighting means arranged around the finite water area as an effect generating means are provided around the finite water area so that the drawing figure by the wavefront and the drawing figure are three-dimensional. the correspondence table data that defines the relationship between the illumination means for displaying the provided before the illumination means in accordance with the drawing figure by the lighting means in the drawing the time generated by the control of the arithmetic control unit Effect control device for drawing by the wavefront characterized by comprising as a possible output selected from the correspondence table data.

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