JP2012226650A - Physical phenomenon representation apparatus and physical phenomenon representation system - Google Patents

Abstract

PROBLEM TO BE SOLVED: To visually represent a physical phenomenon that varies in response to user action.SOLUTION: A physical phenomenon representation apparatus comprises a real position detection section which detects a position in a real space instructed by a user, a virtual position acquisition section which acquires a position in a virtual space on the basis of the detected position, a phenomenon arithmetic section which arithmetically operates a physical phenomenon that may occur in the case where an object or a particle exists at the position acquired by the virtual position acquisition section on the basis of a preset condition within the virtual space, and a video image generation section which generates a video image representing a state of the virtual space where the physical phenomenon occurs on the basis of a result of the arithmetic operation by the phenomenon arithmetic section.

Description

  The present invention relates to a technique for displaying an image representing a physical phenomenon.

Traditionally, there were books, animations, games, etc. as tools for learning physical phenomena related to electrons, protons, photons, molecules, and so on. In addition, regarding a physical phenomenon related to classical physics (such as universal gravitation, centrifugal force, and pendulum), an experience device has been proposed for allowing a user to experience the phenomenon.
In addition, although it is a technical field different from the above-described experience device, a technique has also been proposed in which the current position of the monitoring subject is detected in an amusement park and the like so that the monitoring subject can be reliably displayed on the display device. (See Patent Document 1).

Japanese Patent Laid-Open No. 2006-115099

Unlike the areas handled by classical physics, modern physics (also called contemporary physics: theory of relativity, quantum mechanics, etc.) is difficult to visually confirm phenomena. Therefore, it is difficult to visually represent the phenomenon of modern physics, and it is difficult for the user to experience the phenomenon. In addition, the difficulty of letting a user experience a phenomenon has been a problem in classical physics as well.
In view of the above circumstances, an object of the present invention is to provide a technique that enables a visual representation of a physical phenomenon that changes according to a user's operation.

  One aspect of the present invention is set in advance, a real position detection unit that detects a position of a real space instructed by a user, a virtual position acquisition unit that acquires a position in a virtual space based on the detected position, and Based on a condition in the virtual space, a phenomenon calculation unit that calculates a physical phenomenon that occurs when an object or particle is present at the position acquired by the virtual position acquisition unit, and a calculation result by the phenomenon calculation unit And a video generation unit that generates a video representing the state of the virtual space in which the physical phenomenon occurs.

  One aspect of the present invention is the above-described physical phenomenon expression device, wherein the phenomenon calculation unit calculates the physical phenomenon assuming that only a force specified by a user works as a force working in the virtual space.

  One aspect of the present invention is the above-described physical phenomenon expression device, wherein the phenomenon calculation unit calculates the physical phenomenon using the changed physical constant when the change of the physical constant is designated by a user. .

  One aspect of the present invention is the physical phenomenon expression device described above, wherein the video generation unit generates a video so as to visualize only a visualization target selected by a user.

  One aspect of the present invention is a physical phenomenon expression system including a real position detection unit, a video generation unit, and a video display unit, a virtual position acquisition unit, and a phenomenon calculation unit installed at a plurality of different locations, The real position detection unit detects a position of a real space instructed by a user located at a place where the real position detection unit is installed, and the virtual position acquisition unit calculates a position in the virtual space according to the detected position, Acquired for each position in the real space, and the phenomenon calculation unit occurs when an object or a particle exists at each position acquired by the virtual position acquisition unit based on a preset condition in the virtual space. A physical phenomenon is calculated, and the video generation unit generates a video representing the state of the virtual space in which the physical phenomenon occurs based on a calculation result by the phenomenon calculation unit according to a place where the physical phenomenon is installed, The video display unit There displays an image generated by the image generating unit installed in the same location as the installation location.

  One aspect of the present invention is a physical phenomenon expression system including a plurality of physical phenomenon expression devices installed at different places, and the physical phenomenon expression device is instructed by a user located at a place where the physical phenomenon expression device is installed. A real position detecting unit for detecting the position of the real space, a delay unit for transmitting the detection result of the real position detecting unit with a delay to another physical phenomenon device, and a virtual corresponding to the detected position A virtual position acquisition unit that acquires a position in space for each real space position of the detection result received from another physical phenomenon device and the detection result in the own device; and a preset condition in the virtual space Based on the calculation result of the physical phenomenon that occurs when an object or particle is present at each position acquired by the virtual position acquisition unit, and based on the calculation result of the phenomenon calculation unit, A video representing the state of the virtual space where the phenomenon occurred is generated by the video generation unit that generates the video according to the location where the device is installed, and the video generation unit installed at the same location as the site where the video is installed. A video display unit for displaying video.

  One aspect of the present invention is the above-described physical phenomenon expression system, wherein the delay unit is determined according to a place where the delay unit is installed and a place where the physical phenomenon expression apparatus as a transmission destination is installed. The detection result is transmitted with a delay.

  One aspect of the present invention is the above-described physical phenomenon representation system, wherein a delay given when one physical phenomenon representation device transmits the detection result to another physical phenomenon representation device is the other physical phenomenon This is equal to the delay given when the apparatus transmits the detection result to the one physical phenomenon expression apparatus.

  According to the present invention, it is possible to visually represent a physical phenomenon that changes according to a user's operation.

It is a block diagram showing the structure of 1st embodiment (physical phenomenon expression system 100) of a physical phenomenon expression system. 3 is a flowchart showing the operation of the physical phenomenon representation system 100. 1 is a diagram illustrating a first embodiment of a physical phenomenon expression system 100. FIG. 3 is a flowchart showing the operation of the first embodiment of the physical phenomenon expression system 100. It is a figure showing the example of a change of a picture when a user moves. It is a figure showing the 2nd Example of the physical phenomenon expression system. It is a figure showing the characteristic of the movement of the electron in a 2nd Example. It is a flowchart showing the operation | movement regarding a solar wind among operation | movement of the 2nd Example of the physical phenomenon representation system 100. FIG. 4 is a diagram illustrating an example of an image displayed by the physical phenomenon expression system 100. FIG. It is a block diagram showing the structure of 2nd embodiment (physical phenomenon expression system 200) of a physical phenomenon expression system. 1 is a diagram illustrating an example of a physical phenomenon expression system 200. FIG. It is a figure showing the specific example of the image | video displayed by the image | video display part 205-n installed in the place different from FIG. It is a figure showing the Example in the modification of the physical phenomenon expression system. It is a block diagram showing the structure of 3rd embodiment (physical phenomenon expression system 300) of a physical phenomenon expression system.

[Outline]
In the physical phenomenon representation system, a physical phenomenon in a virtual space (hereinafter referred to as “virtual space”) in which conditions are set in advance is calculated, and an image representing the state of the virtual space is displayed based on the calculation result. In the virtual space, there is a moving body whose position changes corresponding to the position of the user. A moving object represents an object or particle that causes a physical phenomenon. Examples of the object include the earth, the moon, the sun, and a magnet. The particles are, for example, molecules, atoms, nuclei, neutrons, protons, electrons, and the like.

The physical laws in the virtual space are the same as the physical laws in the real world. Therefore, the mathematical formula for calculating the physical phenomenon that occurs in the virtual space is the same as the mathematical expression that represents the physical phenomenon that occurs in the real world. On the other hand, in the virtual space, for example, a situation that cannot occur in the real world may be created such that the earth approaches the sun, the moon leaves the earth, or there are multiple moons. In this case, a physical phenomenon may be calculated based on the created situation, and the calculation result may be displayed as an image. In the virtual space, the user may freely change the values of various physical constants (light speed, Boltzmann coefficient, electron radius, proton radius, universal gravitational constant, etc.). The speed of time flow in the virtual space may be the same as or different from the speed of time flow in the real world. In addition, a force generated in the virtual space may be selected from a plurality of forces (intermolecular force, Coulomb force, universal gravitational force, Lorentz force, etc.) generated in the real world.
In the virtual space, objects and particles other than moving objects may exist. In the virtual space, a field (for example, a magnetic field, an electric field, or a gravitational field) generated by an object or particles may be set in advance.

  In the physical phenomenon representation system, the position of the moving object in the virtual space (hereinafter referred to as “virtual position”) is based on the position in the actual space coordinate system (hereinafter referred to as “real position”) designated by the user. It is determined. That is, the physical phenomenon representation system detects a real position and determines a virtual position. Then, the physical phenomenon representation system calculates a physical phenomenon in the virtual space based on the virtual position, and displays an image representing the state of the virtual space based on the calculation result.

[First embodiment]
FIG. 1 is a configuration diagram showing the configuration of the first embodiment (physical phenomenon expression system 100) of the physical phenomenon expression system. The physical phenomenon representation system 100 includes a physical phenomenon representation device 110 and a video display unit 106. The physical phenomenon expression device 110 includes a CPU (Central Processing Unit), a memory, an auxiliary storage device, and the like connected by a bus, and executes a physical phenomenon expression program. The physical phenomenon expression device 110 functions as a device including a real position detection unit 101, a virtual position acquisition unit 102, a phenomenon calculation unit 103, a video generation unit 104, and an input unit 105 by executing a physical phenomenon expression program. Note that all or part of the functions of the physical phenomenon expression device 110 may be realized using hardware such as an application specific integrated circuit (ASIC), a programmable logic device (PLD), or a field programmable gate array (FPGA). good. The physical phenomenon expression program may be recorded on a computer-readable recording medium. The computer-readable recording medium is, for example, a portable medium such as a flexible disk, a magneto-optical disk, a ROM, a CD-ROM, or a storage device such as a hard disk built in the computer system. The physical phenomenon expression program may be provided via a telecommunication line.

  The actual position detection unit 101 detects the position (actual position) of the user in the actual space coordinate system. That is, the user indicates the position in the real space by moving. Any existing method may be applied as a specific method for the actual position detection unit 101 to detect the actual position. For example, the actual position detection unit 101 may include an imaging device, and the user's actual position may be detected based on the user's image captured by the imaging device. For example, the actual position detection unit 101 may include a distance sensor, and the actual position of the user may be detected by the distance sensor. For example, the real position detection unit 101 may receive the coordinates of the real position of the user calculated by the GPS terminal from a GPS (Global Positioning System) terminal carried by the user by wireless communication. For example, the actual position detection unit 101 may include one or a plurality of RFID (Radio Frequency Identification) readers and detect the actual position of the user based on a signal received from an RFID tag carried by the user. A method other than the method described above may be applied to the actual position detection unit 101.

  The virtual position acquisition unit 102 acquires the position (virtual position) of a moving body whose position changes corresponding to the position of the user. The virtual position represents a position in a coordinate system (hereinafter referred to as “virtual coordinate system”) in a virtual space different from the actual space coordinate system. The virtual coordinate system is set in advance by the designer according to the type of the moving object, the contents of the physical phenomenon represented by the physical phenomenon representation system 100, and the like. For example, in the case of representing a physical phenomenon caused by a plurality of electrons, 1 meter in an actual spatial coordinate system may be defined as a coordinate system corresponding to 1 picometer (10-15) in the virtual coordinate system. Further, when a physical phenomenon given to electrons by the earth's geomagnetism is represented, one meter in the actual spatial coordinate system may be defined as a coordinate system corresponding to 10,000 meters in the virtual coordinate system.

  Any method may be applied to the specific method in which the virtual position acquisition unit 102 acquires the virtual position based on the real position of the user. For example, the virtual position acquisition unit 102 may store in advance a conversion table in which a real position and a virtual position are associated, and acquire a virtual position corresponding to the real position based on the conversion table. For example, the virtual position acquisition unit 102 stores in advance a conversion formula for converting the coordinates of the actual space coordinate system into the coordinates of the virtual coordinate system, and calculates the coordinates of the virtual position based on the coordinates of the actual position. good. A method other than the method described above may be applied to the virtual position acquisition unit 102. An example of the conversion formula will be described later.

  The phenomenon calculation unit 103 calculates a physical phenomenon that occurs in the virtual space based on the position of each moving body acquired by the virtual position acquisition unit 102. The phenomenon calculation unit 103 calculates the movement of each moving body based on, for example, the force generated on each moving body according to the position of each moving body. For example, when the moving body is an electron, the phenomenon calculation unit 103 calculates the force that the electron (moving body) receives from another object, particle, or field existing in the virtual space, and the electron ( The movement of the moving object is calculated. When there are a plurality of moving bodies, the phenomenon calculating unit 103 also calculates a force acting between the moving bodies, that is, a force that one moving body receives from another moving body.

  At this time, if there is a force that is set in advance as a force that does not work in the virtual space, the phenomenon calculation unit 103 performs a calculation assuming that the force does not work. Conversely, when a force that works in the virtual space is set in advance, the phenomenon calculation unit 103 performs a calculation assuming that only the set force works. Further, when the values of various physical constants are changed in advance in the virtual space, the calculation unit 103 performs calculations using the changed values.

  The video generation unit 104 generates a video representing the calculated physical phenomenon based on the calculation result of the phenomenon calculation unit 103. For example, when the moving body is an electron as described above, a moving image representing the movement of each electron is generated. The video generation unit 104 outputs the generated video signal to the video display unit 106.

  The input unit 105 is configured using an existing input device such as a keyboard, a pointing device (such as a mouse or a tablet), a button, or a touch panel. The input unit 105 is operated by an operator when inputting various instructions to the physical phenomenon expression device 110. For example, an instruction indicating a result of selecting what is a moving object, an instruction of what is displayed on the video display unit 106 (display of magnetic field lines, gravitational field, light, electromagnetic wave, plasma, individual, etc.) An instruction to change a physical constant, information on an object or particle existing in the virtual space, and the like are input to the physical phenomenon expression device 110 via the input unit 105.

  The video display unit 106 is configured using an image display device such as a CRT (Cathode Ray Tube) display, a liquid crystal display, an organic EL (Electro Luminescence) display, or a projector. The video display unit 106 displays a video representing a physical phenomenon based on the video signal output from the video generation unit 104 of the physical phenomenon expression device 110.

  The conversion between the real position and the virtual position is performed as follows. In the following example, the actual position detection unit 101 performs the actual position as the position (x, y) in the two-dimensional space. That is, the real position detection unit 101 recognizes the position of the user or the target object with the two-dimensional space coordinates (x, y). Next, the virtual position acquisition unit 102 acquires position coordinates (virtual space coordinates) in the virtual space corresponding to the real position of the user. When the virtual space coordinates are expressed as (a, b, c), the relationship between the virtual space coordinates and the actual position is expressed by the transformation matrix G as shown in the following Expression 1.

  The virtual position acquisition unit 102 acquires virtual space coordinates according to Equation 1.

Next, processing of the phenomenon calculation unit 103 will be described. The phenomenon calculation unit 103 calculates a force acting on the moving body based on the virtual space coordinates obtained by the virtual position acquisition unit 102, and calculates coordinates to be output to the video generation unit 104, display coordinates, and the like. . Here, the mobile body 1 and the user corresponding to the user 1 when the user 1 and the user ₂ are located at the virtual space coordinates (a ₁ , b ₁ , c ₁ ) and (a ₂ , b ₂ , c ₂ ), respectively. An example of calculation of display coordinates (u ₁ , v ₁ , w ₁ ) and (u ₂ , v ₂ , w ₂ ) of the moving body 2 corresponding to 2 is shown. First, for each moving body, a force F is defined that tries to stay in virtual space coordinates corresponding to the position of the user. This can be defined for each moving body, can be arbitrarily changed, or can be a common parameter. Here, the force (hereinafter referred to as residual force) that the moving body 1 and the moving body 2 try to stay at the virtual space coordinates of the user 1 and the user 2 is defined as F, respectively. The residual force acts on the vector direction from the display coordinates to the virtual space coordinates. Therefore, if the display coordinates are separated from the virtual space coordinates, the moving object (electronics) on the display operates to return to the user's virtual space coordinates. Assuming that both the moving body 1 and the moving body 2 are electrons, and considering that the Coulomb force is acting, the force expressed by the following formula 2 is received as a repulsive force with respect to each other's coordinates. .

Here, k is a Boltzmann coefficient, and q ₁ and q ₂ are charge amounts of charged particles. As can be seen from Equation 2, if the virtual space coordinates of the user 1 and the user 2 are the same, the individual force diverges infinitely. Therefore, the display coordinates (u ₁ , v ₁ , w ₁ ) and (u ₂ , v ₂ , w ₂ ) can be calculated as the following equation 3 as a position where the residual force F and the Coulomb force F are balanced.

A moving body (electronic) image is generated at display coordinates (u ₁ , v ₁ , w ₁ ) and (u ₂ , v ₂ , w ₂ ) that satisfy Equation 3 and have the smallest distance from the virtual space coordinates. Will do. In addition, when other forces act on the moving body (electrons), or when the user generates kinetic energy by some action, the display coordinates are determined in consideration of those forces, Coulomb force, and residual force. . In addition, when a force that moves away from the user with a force that exceeds a predetermined residual force F is applied, the display coordinates of the moving object and the virtual space coordinates of the user are moved away forever. Such a state is defined as an uncontrollable state of the moving body. When the moving body corresponding to the user becomes in an uncontrollable state, an operation in consideration of the user's position information becomes impossible. Therefore, such a moving body is separated from the user and the last state information (position, speed, acceleration, etc. The information may be excluded from the processing target of the phenomenon calculation unit 103 after continuing the movement for a certain time T ₀ according to the parameters of the virtual space. By controlling in this way, it can prevent continuing a calculation about the motion of an unnecessary moving body. In addition, when the moving body becomes uncontrollable, the moving body that can be operated by the user disappears. Therefore, a new moving body may be regenerated in the virtual space coordinates of the user after time _Tr . By setting in this way, the user does not need to worry that the moving body falls into an uncontrollable state, and can try various movements. Moreover, although Formula 1 is an example which grasped | ascertained the user's position in two-dimensional space, you may detect user position (x, y, z) in three-dimensional space by the position detection by radio | wireless. In this case, conversion to virtual space coordinates may be performed as shown in Equation 4 below.

  Further, in order to display as an image, the display coordinates can be further converted as image plane coordinates into coordinates on a screen on which the image is displayed. Video plane coordinates (α, β) are expressed using a transformation matrix Q as shown in Equation 5 below.

  FIG. 2 is a flowchart showing the operation of the physical phenomenon representation system 100. First, the actual position detection unit 101 detects an actual position (step S101). Next, the virtual position acquisition unit 102 acquires a virtual position based on the real position detected by the real position detection unit 101 (step S102). Next, the phenomenon calculation unit 103 calculates a physical phenomenon that occurs in the virtual space based on the virtual position acquired by the virtual position acquisition unit 102 (step S103). Next, the video generation unit 104 generates a video representing the calculated physical phenomenon based on the calculation result of the phenomenon calculation unit 103 (step S104). Then, the video display unit 106 displays the video generated by the video generation unit 104 (step S105). The operation shown in FIG. 2 is repeatedly executed at predetermined intervals. Further, in the process shown in FIG. 2, a plurality of steps may be executed simultaneously in parallel as in the pipeline process.

<First Example>
FIG. 3 is a diagram illustrating a first embodiment of the physical phenomenon representation system 100. The physical phenomenon representation system 100 shown in FIG. 3 acquires the position (virtual position) of an electron (moving body) in association with the position (actual position) of the user, and calculates and displays the behavior of the electron according to the position. . FIG. 3 shows a projector 106-1 suspended from the ceiling and a screen 106-2 for displaying an image projected from the projector 106-1. The projector 106-1 and the screen 106-2 are specific examples of the video display unit 106. Two users 601-1 and 601-2 are standing in front of the screen 106-2. The projector 106-1 and the screen 106-2 display the electrons 501-1 and 501-2 in association with the positions of the users 601-1 and 601-2. For convenience of explanation, the drawings and symbols of the projector 106-1 and the symbols of the screen 106-2 are omitted in the drawings used in the following explanation.

  FIG. 4 is a flowchart showing the operation of the first embodiment of the physical phenomenon representation system 100 shown in FIG. First, the actual position detection unit 101 detects the position of the user 601-1 and the position of the user 601-2 (step S201). Next, the virtual position acquisition unit 102 acquires a virtual position corresponding to each user based on each real position detected by the real position detection unit 101 (step S202). In the case of FIG. 3, since there are two users, two virtual positions are acquired.

First, the phenomenon calculation unit 103 does not use the position information of the user who has become uncontrollable and has not passed the time _Tr (step S203). The phenomenon calculation unit 103 calculates and sets each virtual space coordinate of the user who is not in the uncontrollable state or has passed _Tr after the uncontrollable state from the coordinates in the real space acquired by the virtual position acquisition unit 102 (step S204). ). Next, the moving body that has become T0 and has passed T _{0 is} erased from the virtual space (step S205). Next, the phenomenon calculation unit 103 calculates the position and movement of the electrons in the display coordinates based on the virtual space coordinates and movement of the electrons corresponding to each user (step S206). At this time, for example, a force generated between the electron 501-1 corresponding to the user 601-1 and the electron 501-2 corresponding to the user 601-2, a force generated by a field set in advance in a virtual space, or the like. The phenomenon calculation unit 103 calculates.

Further, the calculation is also performed for a moving body that is in an uncontrollable state and within T _{0 in the same} manner as the moving body corresponding to the user. Next, a moving body that has newly become uncontrollable is detected. The mobile object cannot return to the area within the distance R ₀ from the user's virtual space coordinates, or a certain time elapses from the area within the distance R ₀ from the virtual space coordinates. When the condition is met, it is recognized as an uncontrollable state. If it is determined that the state is not controllable, the moving body does not act on the user's virtual space coordinates, and the moving body moves freely. At this time, the display of the movable body that has become uncontrollable can be erased depending on conditions. An example of erasing will be described later, but can be specified when entering a specific coordinate. Then, the phenomenon calculation unit 103 calculates the movements of the moving body (electrons) corresponding to the user and the uncontrollable moving body (electrons) based on the force obtained as the calculation result, and outputs the display coordinates. Next, the video generation unit 104 generates a video representing the movement of electrons corresponding to each user based on the calculation result of the phenomenon calculation unit 103 (step S208). Then, the video display unit 106 displays the video generated by the video generation unit 104 (step S209).

  FIG. 5 is a diagram illustrating an example of a change in video when the user moves. When the user 601-1 and the user 601-2 approach each other from the position shown in FIG. 3, the virtual position also changes according to the change in the position of each user. As a result, the position of the electron corresponding to each user also approaches once. However, since the electron 501-1 and the electron 501-2 have the same negative charge, the repulsive force shown by Formula 2 arises. Therefore, the distance between the electron 501-1 and the electron 501-2 displayed on the screen 106-2 is larger than the distance between the actual positions of the user 601-1 and the user 601-2. At this time, as the user 601-1 and the user 601-2 move, the screen 106-2 shows a state where the distance between the electrons 501-1 and the electrons 501-2 is closer than that shown in FIG. It is. However, since the force as described above is generated, in the image projected thereafter (for example, the image shown in FIG. 5), the electrons 501-1 and 501-2 move stepwise away from each other.

  Considering the kinetic energy, there is kinetic energy that comes closer to each other when approaching the beginning, so the residual force that strictly follows the user's position and the kinetic energy balance the repulsive force that can be expressed by the Coulomb force. The point becomes smaller than the distance of balance with the residual force, and once it approaches a large distance, the kinetic energy disappears, the repulsive force due to the Coulomb force increases, rebounds, and moves again to approach the user's virtual space position by the residual force. You can repeat the start and make it move like a pendulum until it converges.

  In FIG. 5, reference numeral 501-3 denotes a wave representing an electromagnetic wave. When valence electrons such as electrons, ions, and plasma move, an electromagnetic field change expressed by Maxwell's equations occurs around them. This change in the electromagnetic field propagates as a wave to the surrounding space. FIG. 5 shows that electromagnetic waves are radiated in a direction perpendicular to the left-right direction because electrons move in the left-right direction. The frequency of the radiated radio wave varies depending on the cycle in which the electrons operate. For this reason, the color of the displayed electromagnetic wave can be changed according to the frequency of the electromagnetic wave. For example, the higher the frequency, the more blue, and the lower the frequency, the more red. By periodically moving the user or an object whose position is held by the user (waving up and down or moving left and right), a display that emits a corresponding electromagnetic wave can be provided.

<Second Example>
FIG. 6 is a diagram illustrating a second embodiment of the physical phenomenon representation system 100. The physical phenomenon representation system 100 shown in FIG. 6 acquires the electron virtual position in association with the real position of the user, and calculates and displays the behavior of the electron based on the virtual position. The earth 502 and the sun 504 exist in the virtual space of the second embodiment. The earth 502 has magnetic field lines 503 connecting the north pole and the south pole. In the virtual space of the second embodiment, the magnetic force lines 503 of the earth 502, the universal attractive force of the earth 502, and the like act on the electrons 501 (501-1 and 501-2) corresponding to each user.

  In the second embodiment shown in FIG. 6, two users 601-1 and 601-2 are standing in front of the screen 106-2. The projector 106-1 and the screen 106-2 display the electronic 501-1 and the electronic 501-2 in association with the positions of the users 601-1 and 601-2. Further, the projector 106-1 and the screen 106-2 display the earth 502, the magnetic lines of force 503 of the earth 502, and the sun 504 arranged in the virtual space.

In the second embodiment, the magnetic field lines 503 are generated in the virtual space, as shown in FIG. 6, each electron is set to continue to move at a constant speed v _0. Therefore, the electron 501-1 and the electron 501-2 receive a force according to Fleming's right-hand rule at the magnetic force line 503, and the movement is limited to the movement rotating around the magnetic force line 503. Even if it has kinetic energy in the movement along the magnetic field lines, it is set so that the magnetic force increases as it approaches the earth, and the kinetic energy in the direction perpendicular to the magnetic field lines increases as the magnetic force increases. However, the kinetic energy in the horizontal direction will eventually become 0 and return to the magnetic field lines. FIG. 7 is a diagram illustrating the characteristics of the movement of electrons in the second embodiment. FIG. 7 is a diagram illustrating an example of an image when the user 601-1 and the user 601-2 move in the direction of the arrow from the position illustrated in FIG.

When the user 601-1 moves not along the magnetic field lines 503, the movement of the electrons 501-1 is as follows. The position (virtual position) of the electron 501-1 is acquired according to the position (real position) of the user 601-1. The virtual position is a position moved rightward from the position of the electron 501-1 in FIG. 6 in accordance with the movement of the user 601-1. However, as a result of the calculation by the phenomenon calculation unit 103, even if the electron 501-1 tries to move away from the magnetic field line 503, it is converted into a force rotating around the magnetic field line 503 by Fleming's right hand rule. It cannot move and continues to rotate around the magnetic field line 503. Even if the electron 501-1 leaves the magnetic field line 503 as the user 601-1 moves, the electron 501-1 immediately returns to the magnetic field line 503. Since the electronic 501-1 leaves the user's control at this time, the electronic 501-1 is in a control impossible state. Thus, electrons are regenerated at a position corresponding to the user 601-1 after a time _{T r,} after electronic 501-1 was continued motion only time _{T 0,} is erased.

  When the user 601-2 moves along the magnetic field lines 503, the movement of the electrons 501-2 is as follows. The position (virtual position) of the electron 501-2 is acquired according to the position (real position) of the user 601-2. The virtual position is a position moved upward from the position of the electron 501-2 in FIG. 6 in accordance with the movement (jump) of the user 601-2. As a result of the calculation by the phenomenon calculation unit 103, although the electron 501-2 receives a force by the magnetic force line 503, the movement of the user 601-2 is a movement along the magnetic force line 503, and thus moves to a virtual position. Thereafter, as the user 601-2 lands, the electron 501-2 returns to the position shown in FIG.

8, the user is to move significantly in the direction along the magnetic field lines 503, shows an electronic movement when the magnetic field lines 503 direction impart kinetic energy F _m. The electron moves along the magnetic force line 503 while rotating around the magnetic force line 503, but as it approaches the earth 502, the magnetic force increases, so that it cannot be approached and bounces back.

  FIG. 9 shows a state in which an image is displayed that the solar wind 505 has arrived at the earth 502 and the magnetosphere is disturbed. A solar wind 505 is emitted from the sun 504, and it is displayed that high-energy plasma has arrived at the earth 502. Under the influence of the solar wind 505, the lines of magnetic force 503 change, such as contraction, so that electrons can approach the earth 502. In this state, if electrons are dropped in the direction of the magnetic field lines 503 in the same manner as in FIG. 8, they will hit the earth 502 without rebounding. When the phenomenon calculation unit 103 detects that the display position (u, v, w) of the electron has entered the existence position representing the atmospheric coordinate condition of the earth 502, the phenomenon calculation unit 103 deletes the display of the electron and instead causes the earth 502 to aurora. The video generation unit 104 is designated to generate 506. Also in this case, assuming that the electrons are in an uncontrollable state, the video generation unit 104 reproduces the electrons after a predetermined time in the virtual space coordinates of the user. In this way, the user can drop the regenerated electrons one after another toward the earth 502 and can experience the mechanism of aurora generation.

  In the flowchart in FIG. 4, in step S307, it is detected that the display position of the electron is included in the conditions of the earth atmosphere coordinates, the display of the electron is erased, the control is disabled, and the aurora is illuminated on the earth. A video is created (S208), and the video is displayed (S209).

  In the first embodiment configured as described above, the position of a moving body such as an object or particle is specified based on the position of the user, and the interaction with another object or particle is calculated according to the position of the moving body. The Based on the calculation result, an image representing a physical phenomenon is generated and displayed. Therefore, the user can change the position of a moving body such as an object or a particle by moving, and visually check a physical phenomenon caused by the change. Therefore, the user can grasp the physical phenomenon more sensibly.

In addition, when configured so that the user can freely change the values of various physical constants, the user can feel how the physical phenomenon is changed by each physical constant by changing the physical constant. It becomes possible. Therefore, it becomes possible to deepen understanding about each physical constant.
Furthermore, when the speed of light is set to be smaller than the actual value, such as 20 km / h, the phenomenon calculation unit 103 may calculate the difference in elapsed time seen from each electron when the electron is moved. In this case, the video generation unit 104 may display the elapsed time of the calculation result on the video. When the electron radius or photon radius is set larger than the actual radius, the phenomenon calculation unit 103 may calculate the haze of the existence probability of electrons. In this case, the video generation unit 104 may visually express the haze of the calculation result as a video. In this case, it is possible to observe the appearance of interference fringes by making the existence probability of two electrons close by setting so that the Coulomb force does not work as described below.

When configured to be able to select the force that occurs in the virtual space among the multiple forces that occur in the real world, by selecting so that only the Coulomb force works, selecting so that only the Lorentz force works, etc. It is possible to deepen the visual understanding of the influence of each force on physical phenomena.
In addition, the user can visually check the process of generating a mysterious physical phenomenon called aurora by operating the input unit 105 of the physical phenomenon expression system 100 and instructing the generation of solar wind.

<Modification>
The actual position detection unit 101 may detect the position of a preset object instead of detecting the position of the user as the actual position. Examples of objects include things that the user wears (for example, wristbands, hats, motion capture markers, etc.), things that the user carries (cell phones, bags, etc.), and the user can operate the position. (Radio control car, radio control helicopter, mobile robot, etc.).

  The physical phenomenon expression system 100 may be configured to include a portable device. In this case, the physical phenomenon representation device 110 includes a transmission unit that transmits a predetermined signal to the mobile device. When the calculation result in the phenomenon calculation unit 103 satisfies a predetermined condition, the transmission unit transmits a signal corresponding to the satisfied condition to the portable device. A portable device is a device carried by a user. When the portable device receives a signal from the physical phenomenon representation device 110, the portable device operates in accordance with the received signal. For example, the portable device includes a gyro, and when a predetermined signal is received, the gyro is operated to cause the user to feel the body being pulled. More specifically, when the phenomenon calculation unit 103 calculates that the force generated on the moving body is greater than or equal to a predetermined value, the transmission unit transmits a signal indicating the direction in which the force is generated. The portable device may control the gyro so that a force is generated in the direction indicated by the signal.

  The image generation unit 104 may generate an image so as to visualize only a physical phenomenon, an object, a particle, a force, and a field specified by the user. The designation of visualization is performed via the input unit 105. For example, only the movement of the magnetic field may be visualized or only the electromagnetic wave may be visualized. With this configuration, it is possible to focus only on the phenomenon that you want to see. Moreover, you may comprise so that the frequency band visualized among electromagnetic waves can be designated. With this configuration, it is possible to easily confirm the state of propagation of electromagnetic waves.

[Second Embodiment]
FIG. 10 is a configuration diagram showing the configuration of the second embodiment (physical phenomenon expression system 200) of the physical phenomenon expression system. The physical phenomenon expression system 200 includes a plurality of real position detection units 201-1 to 201-N, a physical phenomenon expression device 210, a plurality of video generation units 204-1 to 201-N, and a plurality of video display units 205-1 to 205. -N. The real position detection unit 201-n, the video generation unit 204-n, and the video display unit 205-n (n is an integer from 1 to N) are installed at the same place. That is, the user whose actual position detection unit 201-n detects the position can view the video generated by the video generation unit 204-n on the video display unit 205-n. The same identification information is assigned to the real position detection unit 201-n, the video generation unit 204-n, and the video display unit 205-n installed in the same place.

The actual position detection unit 201-n and the video generation unit 204-n are connected to the physical phenomenon expression device 210 by wired or wireless communication.
The actual position detection unit 201-n detects the position of the user who moves in the vicinity where each is installed. The actual position detection unit 201-n transmits the detected actual position to the physical phenomenon expression device 210 together with the identification information assigned to itself. The configuration of each real position detection unit 201-n is the same as that of the real position detection unit 101 in the first embodiment, except for transmission processing to the physical phenomenon expression device 210.

  The physical phenomenon display device 210 includes a CPU, a memory, an auxiliary storage device, and the like connected by a bus, and executes a physical phenomenon expression program. The physical phenomenon expression device 210 functions as a device including the virtual position acquisition unit 202 and the phenomenon calculation unit 203 by executing the physical phenomenon expression program. Note that all or some of the functions of the physical phenomenon representation device 210 may be realized using hardware such as an ASIC, PLD, or FPGA.

  The virtual position acquisition unit 202 acquires a virtual position for each real position detected by a plurality of real position detection units 201-n connected to the physical phenomenon display device 210. In the virtual position acquisition unit 202, a virtual coordinate system common to all the real position detection units 201-n may be set, or a different virtual coordinate system is set for each real position detection unit 201-n. Also good. The virtual position acquisition unit 202 associates the identification information received from each position detection unit 201-n and the virtual position, and outputs them to the phenomenon calculation unit 203. The process in which the virtual position acquisition unit 202 acquires the virtual position is the same as the virtual position acquisition unit 102 in the first embodiment.

  The phenomenon calculation unit 203 calculates a physical phenomenon that occurs in the virtual space based on each virtual position output from the virtual position acquisition unit 202. The calculation performed by the phenomenon calculation unit 203 is the same as the phenomenon calculation unit 103 in the first embodiment. The phenomenon calculation unit 203 transmits the calculation result to each video generation unit 204-n. The result of the calculation to be transmitted includes a combination of the movement of each moving body and identification information corresponding to the moving body.

  The video generation unit 204-n receives the calculation result from the physical phenomenon display device 210. The video generation unit 204-n generates a video based on the calculation result. A unique coordinate system is preset in the video generation unit 204-n. This coordinate system is a coordinate system corresponding to the virtual coordinate system used in the virtual position acquisition unit 202. The video generation unit 204-n converts the video in the virtual space represented by the received calculation result into a video according to a preset coordinate system. Thus, by generating a video in a preset coordinate system, it is possible to accurately display the moving body at a position corresponding to the position of the user detected by the actual position detection unit 201-n. .

The video generation unit 204-n may display a moving object corresponding to its own identification information in a mode different from other moving objects. For example, the video generation unit 204-n may display a moving object corresponding to its own identification information larger than other moving objects, may be displayed in a color different from other moving objects, It may be displayed so as to blink in a pattern different from that of the moving body.
The video display unit 205-n displays the video generated by the video generation unit 204-n.

  FIG. 11 is a diagram illustrating an example of the physical phenomenon representation system 200. In FIG. 11, the electronic 501-1 and the electronic 501-2 are displayed according to the positions of the two users 601-1 and 601-2. The actual position detection unit 201-n installed at a location different from the user 601-1 and the user 601-2 also detects the positions of other users. Therefore, the electrons 501-3, 501-4, and 501-5 are displayed as moving bodies corresponding to other users. The positions of the electrons 501-3, the electrons 501-4, and the electrons 501-5 change according to the positions of the corresponding users.

  FIG. 12 is a diagram illustrating a specific example of an image displayed by the image display unit 205-n installed in a place different from that in FIG. FIG. 12 shows images of a user 601-3 different from the user shown in FIG. 11 and an electronic (mobile body) 501-5 corresponding to the user 601-3. The video generation unit 204-n that generates the video in FIG. 11 and the video generation unit 204-n ′ (n ′ is an integer of 1 to N, a value different from n and n ′) in FIG. Has a different coordinate system. Therefore, in the generated image, the positions where the earth and the lines of magnetic force are displayed are different between FIG. 11 and FIG. Therefore, in the case of FIG. 11, the electronic 501-1 and the electronic 501-2 can be displayed on the user 601-1 and user 601-2 sides. Similarly, in the case of FIG. 12, it is possible to display the electrons 501-5 on the user 601-3 side. 11 and 12, only the position of the origin of the coordinate system is different, but the scale (magnification) may be different or rotated in each coordinate system.

In the second embodiment, the position detection unit 201-n installed at multiple points is communicably connected to the physical phenomenon expression device 210, and the physical phenomenon in the virtual space is calculated based on the actual positions detected at the multiple points. The Therefore, the user can experience the world expanse in the virtual space. In addition, it is possible to experience positions in different virtual spaces from different points, and it is possible to further deepen the understanding of physical phenomena. For example, by changing the coordinate system in each user's location, the location in each user's virtual space can be set to various unique locations such as the dawn side of the earth, the sunset side, and the magnetotail. Therefore, it is possible to create connections with various unique places. That is, it is possible to experience physical phenomena in various unique places and deepen the understanding of the user.
In the second embodiment, it is also possible to obtain the same effect as in the first embodiment.

<Modification>
FIG. 13 is a diagram illustrating an example of a modification of the physical phenomenon representation system 200. In a modification of the physical phenomenon expression system 200, an imaging device that captures an image of a user whose real position detection unit 201-n is a position detection target is provided. Each imaging device transmits the captured image to the physical phenomenon expression device 210. The physical phenomenon expression device 210 transmits the video received from each imaging device together with the calculation result by the phenomenon calculation unit 203 to each video generation unit 104-n. The video generation unit 204-n superimposes the video of the moving object corresponding to the user at another location (hereinafter referred to as “sub video”). In FIG. 13, a sub video 602-1 and a sub video 602-2 are displayed as videos corresponding to users in other places. Further, only the sub video may be displayed, and the moving body video may not be displayed.
Further, the physical phenomenon representation system 200 may be configured by being modified in the same manner as the physical phenomenon representation system 100 in the first embodiment.

[Third embodiment]
FIG. 14 is a configuration diagram showing the configuration of the third embodiment (physical phenomenon expression system 300) of the physical phenomenon expression system. The physical phenomenon expression system 300 includes a plurality of physical phenomenon expression devices 310-1 to 310-N and video display units 305-1 to 305-N. The physical phenomenon expression device 310-n and the video display unit 305-n (n is an integer of 1 to N) are installed in the same place. Each of the physical phenomenon expression devices 310-1 to 310-N is installed in a different place and is connected to be communicable with each other.

  The physical phenomenon display device 310-n (n is an integer from 1 to N) includes a CPU, a memory, an auxiliary storage device, and the like connected by a bus, and executes a physical phenomenon expression program. The physical phenomenon expression device 310-n is configured to execute a physical phenomenon expression program to detect a real position detection unit 301-n, a delay unit 306-n, a virtual position acquisition unit 302-n, a phenomenon calculation unit 303-n, and a video generation unit 304. Functions as a device with -n. Note that all or some of the functions of the physical phenomenon representation device 310-n may be realized using hardware such as an ASIC, PLD, or FPGA.

  The actual position detection unit 301-n, the phenomenon calculation unit 303-n, the image generation unit 304-n, and the image display unit 305-n are respectively the actual position detection unit 101, the phenomenon calculation unit 103, and the image generation unit in the first embodiment. 104 and the same configuration as the video display unit 106.

  The delay unit 306-n adds a delay to the information on the actual position output from the actual position detection unit 301-n and transmits the information to each physical phenomenon expression device 310-n. For example, when the delay unit 306-i (i is an integer from 1 to N) transmits information on the actual position to the physical phenomenon expression device 310-j (j is an integer from 1 to N), a preset delay time Tij And send. Specifically, the delay unit 306-i temporarily stores the information on the real position output from the real position detection unit 301-i, and the physical phenomenon expression device 310-i after the delay time Tij has elapsed. The actual position information is transmitted to j. The delay time Tij may be set according to the actual distance between the place where the physical phenomenon expression device 310-i is installed and the place where the physical phenomenon expression device 310-j is installed. That is, the shorter the distance, the smaller the delay time Tij may be set, and the larger the distance, the larger the delay time Tij may be set. Further, the same value may be set for Tij and Tji, or different values may be set. The same value may be set for all delay times.

  The virtual position acquisition unit 302-n receives information on the real position from each of the delay units 306-1 to 306-N, and acquires a virtual position corresponding to the real position received at each time point. The process in which the virtual position acquisition unit 302-n acquires the virtual position corresponding to the actual position is the same as the virtual position acquisition unit 102 in the first embodiment.

  In the third embodiment configured as described above, the movement of the user at each point is input to the physical phenomenon expression device 310 installed at another point after a predetermined delay time has elapsed. Therefore, in the video displayed by the video display unit 305, the movement of the user at another point is reflected after a predetermined delay time has elapsed. Therefore, the user can experience a sense of distance in the virtual space. For example, if 24 hours is set as the delay time Tij between the point i and the point j, the user at the point i will see the information of the point j one day ago. In this way, it is possible to simulate the light propagation distance from the point j to the point i in the virtual space, and the user can experience a vast virtual space. At this time, by linking the delay time setting with the light speed setting value, it is also possible to confirm that the image set far away in the virtual space becomes the old image as the light speed decreases. It becomes.

  The embodiment of the present invention has been described in detail with reference to the drawings. However, the specific configuration is not limited to this embodiment, and includes designs and the like that do not depart from the gist of the present invention.

100, 200, 300 ... Physical phenomenon expression system, 110, 210, 310 ... Physical phenomenon expression device, 101, 201-1 to 201-N, 301-1 to 301-N ... Real position detection unit, 102, 202, 302 -1 to 302-N ... virtual position acquisition unit, 103, 203, 303-1 to 303-N ... phenomenon calculation unit, 104, 204-1 to 204-N, 304-1 to 304-N ... video generation unit, 105: input unit, 106, 205-1 to 205-N, 305-1 to 305-N ... video display unit, 106-1 ... projector, 106-2 ... screen, 501-1 to 501-5 ... electronic, 502 ... Earth, 503 ... Magnetic field lines, 504 ... Sun, 505 ... Solar wind, 506 ... Aurora

Claims (8)

A real position detector for detecting the position of the real space designated by the user;
A virtual position acquisition unit for acquiring a position in the virtual space based on the detected position;
A phenomenon calculation unit that calculates a physical phenomenon that occurs when an object or particle is present at a position acquired by the virtual position acquisition unit, based on a preset condition in the virtual space;
A video generation unit that generates a video representing a state of the virtual space in which the physical phenomenon occurs, based on a calculation result by the phenomenon calculation unit;
A physical phenomenon expression device comprising:   The physical phenomenon expression device according to claim 1, wherein the phenomenon calculation unit calculates the physical phenomenon as a force that is designated by a user as a force that acts in the virtual space.   3. The physical phenomenon expression device according to claim 1, wherein, when a change of a physical constant is designated by a user, the phenomenon calculation unit calculates the physical phenomenon using the changed physical constant.   The physical phenomenon expression device according to claim 1, wherein the video generation unit generates a video so as to visualize only a visualization target selected by a user. A physical phenomenon expression system comprising a real position detection unit, a video generation unit and a video display unit, a virtual position acquisition unit and a phenomenon calculation unit installed in a plurality of different places,
The real position detection unit detects the position of the real space designated by the user located at the place where the real position detection unit is installed,
The virtual position acquisition unit acquires a position in the virtual space corresponding to the detected position for each position in the real space,
The phenomenon calculation unit calculates a physical phenomenon that occurs when an object or particle is present at each position acquired by the virtual position acquisition unit based on a preset condition in the virtual space,
The video generation unit generates a video representing a state of the virtual space in which the physical phenomenon occurs based on a calculation result by the phenomenon calculation unit according to a place where the physical phenomenon is installed,
The physical phenomenon expression system, wherein the video display unit displays a video generated by the video generation unit installed in the same place as the video display unit. A physical phenomenon expression system comprising a plurality of physical phenomenon expression devices installed at different locations,
The physical phenomenon expression device includes:
A real position detector that detects the position of the real space instructed by the user located at the place where the machine is installed;
A delay unit that transmits the detection result of the real position detection unit with a delay to another physical phenomenon device; and
A virtual position acquisition unit that acquires the position in the virtual space according to the detected position for each position in the real space of the detection result received from another physical phenomenon device and the detection result in the own device;
A phenomenon calculation unit that calculates a physical phenomenon that occurs when an object or a particle is present at each position acquired by the virtual position acquisition unit, based on a preset condition in the virtual space;
Based on the calculation result by the phenomenon calculation unit, a video generation unit that generates a video representing the state of the virtual space in which the physical phenomenon has occurred, according to the location where the device is installed;
A video display unit for displaying the video generated by the video generation unit installed in the same location as the site where the device is installed;
Physical phenomenon expression system with   7. The delay unit according to claim 6, wherein the delay unit transmits the detection result with a delay determined according to a place where the delay unit is installed and a place where the transmission destination physical phenomenon expression device is installed. Physical phenomenon expression system.   The delay given when one physical phenomenon expression apparatus transmits the detection result to another physical phenomenon expression apparatus is that the other physical phenomenon apparatus transmits the detection result to the one physical phenomenon expression apparatus. The physical phenomenon expression system according to claim 6, wherein the physical phenomenon expression system is equal to a delay given in performing.

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