JP2006268174A - Information presentation device, information presentation method, and computer program - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To express multi-dimensional information acquired as a simulation calculation result so that a phenomenon can be easily understood by a user. <P>SOLUTION: A simulation device displays a portion of a simulation result with a voice for simultaneously displaying multi-dimensional information, and distributes the multi-dimensional calculation results obtained by simulation to visual display with an image and hearing display with a voice according to characteristics, resolution or significance of each information. In this case, it is possible for a user to whom the simulation result is presented to make the best of the characteristics of each sensory organ, and to easily understand the phenomenon in a much more detail level. <P>COPYRIGHT: (C)2007,JPO&INPIT

Description

  The present invention relates to an information presentation apparatus and an information presentation method for presenting a calculation result on a computer to a user, and a computer program, and in particular, a simulation result obtained by analyzing a physical phenomenon by a simulated calculation by a computer. The present invention relates to an information presentation apparatus, an information presentation method, and a computer program for presenting a phenomenon so that the phenomenon can be easily understood.

  More particularly, the present invention relates to an information presentation apparatus and an information presentation method for expressing multidimensional information obtained as a simulation calculation result so that a user can easily understand a phenomenon, and a computer program, and in particular, as a simulation result. The present invention relates to an information presentation apparatus, an information presentation method, and a computer program for simultaneously presenting a spatial distribution and a temporal change of a physical quantity to be easily understood by a user.

  Formulate or model the behavior of any physical, ecological, or social system, and simulate the behavior of the system governed by almost the same laws on a computer. In other words, simulation technology is a field of science and technology and industrial technology. Widely used in By using simulation technology, the system behavior in various aspects can be predicted before actual experience, and the system can be controlled based on the obtained parameters to predict and prevent system errors. An error can be avoided by performing control.

  For example, in the field of handling particles such as powder and granules, it is necessary to grasp the behavior of particles. However, if such behavior of particles is to be grasped by trial and error experiments, it takes time and cost. There was a problem. Therefore, the behavior of particles such as powders and granules is formulated or modeled, and the behavior of the system governed by almost the same law is simulated on a computer, so that the behavior of the particles is predicted before actual experience. be able to. In addition, by changing the input conditions and parameters and repeatedly performing the same simulation calculation, it is possible to evaluate the performance of various particle compositions and apparatus design / control systems.

  As a typical example of an apparatus for handling powder, an image forming apparatus such as a copying machine or a printer using an electrophotographic technique can be cited. In this case, a two-component developer called a toner composed of toner as an image forming agent and a carrier for conveying the toner is handled as an object of powder behavior analysis, and by applying a powder behavior analysis simulation, An image to be formed can be predicted and evaluated without performing an image formation experiment.

  The electrophotographic process includes a plurality of steps such as charging of an electrophotographic photosensitive member and exposure of a scanned original image, superposition of toner on an electrostatic latent image on the surface of the photosensitive member, development, transfer of toner to a transfer member, and fixing of transferred toner. Consists of. If the simulation of such a system is performed with a single simulator, the apparatus becomes huge and unrealistic. Therefore, for example, a simulation may be modularized for each process such as exposure / charging, development, transfer, and fixing, and the simulation result from each simulation module may be integrated to evaluate the entire image forming apparatus.

  By the way, a simulation result obtained by analyzing a physical phenomenon by a simulated calculation by a computer is generally fed back to a user through a display screen, that is, visual information. For example, character information such as arrangement of calculation values on a table is displayed, or physical quantities are replaced with pixel shading and color information and mapped on a two-dimensional plane or three-dimensional space. Analysis results obtained by simulation often include various physical quantities such as heat, stress, density, and electromagnetic field combined in a multidimensional manner. In such a case, the user can easily understand the phenomenon by presenting the analysis results at the same time. However, when presenting using visual information, there is a limit in simultaneously displaying multidimensional information.

  When displaying the simulation result as an image, in principle, the three colors of RGB can be independently assigned to different variables for display. Human vision perceives these synthesized colors as colors, so in principle it is possible to infer the three primary colors from the colors, but intuitive understanding is difficult. For example, it is difficult to intuitively understand that yellow is made of red and green, even though it is known in the head.

  Taking such problems into consideration, means such as presenting different information by arranging a plurality of images may be taken. FIG. 4 shows a state where physical property values, potential fields, and magnetic flux densities (vectors) in the analysis region are displayed on different screens as simulation results in the image forming apparatus. The phenomenon that powders such as toner act on these fields and flow cannot be expressed on a single screen. However, this method makes it difficult to intuitively understand the same point in a plurality of images.

  Also, many methods such as switching multiple images with switches and displaying multidimensional information by changing the texture and arrow direction and length with respect to the color are also used, It is not enough to express the multidimensional information of the calculation result at the same time.

  On the other hand, it is common to use auditory information in addition to visual information as a method for presenting information from a computer to a user. For example, as a simulator that outputs an acoustic signal, many devices have been devised regarding an acoustic simulation device that simulates propagation of an acoustic signal in a virtually designed space.

  For example, by outputting pre-recorded audio data according to the situation, it is possible to enhance the sense of reality in various training simulators and games (see, for example, Patent Document 1).

  In addition, a virtual acoustic space can be reproduced by considering various propagation characteristics (see, for example, Patent Document 2).

  In addition, by calculating a sound pressure spectrum based on a simulation result based on surface vibration and reproducing it as a virtual sound by inverse Fourier transform, it is possible to facilitate analogy of device sound (see, for example, Patent Document 3). )

  In addition, by simulating the synthesis of waves and displaying the waveforms as voice, it is possible to easily understand the properties of the waves (see, for example, Patent Document 4).

  However, in any of the above-described methods, even if the calculation result by the computer is presented to the user by the auditory information, only the acoustic signal is output as the calculation result of the acoustic signal or wave, and the target is the acoustic signal. Most of these are not available except when. That is, the result of numerical analysis is not acoustically displayed. Also, these methods. It is unrelated to simultaneously expressing multidimensional information included in the calculation result.

JP-A-8-241027 Japanese Patent Laid-Open No. 5-73080 JP 2001-99703 A JP 2001-184317 A

  An object of the present invention is to provide an excellent information presentation apparatus, information presentation method, and computer capable of presenting a simulation result obtained by analyzing a physical phenomenon by a simulated calculation by a computer so that a user can easily understand the phenomenon.・ To provide a program.

  A further object of the present invention is to provide an excellent information presentation apparatus, information presentation method, and computer program capable of expressing multidimensional information obtained as a simulation calculation result so that a user can easily understand a phenomenon. There is.

  The present invention has been made in consideration of the above problems, and a first aspect of the present invention is an information presentation apparatus that presents to a user multidimensional information obtained by arithmetic processing on a computer. An information presentation selection unit that divides the presentation form related to the information into visual display by image and auditory display by sound, an image information conversion unit that converts information sorted into visual display by image by the information presentation selection unit, to image information, An image display unit that displays image information generated by the image information conversion unit, an acoustic information conversion unit that converts information distributed to audio display by the information presentation selection unit into acoustic information, and the acoustic information An information display device comprising: an acoustic display unit that acoustically displays acoustic information generated by the conversion unit.

  Formulate or model the behavior of any physical, ecological, or social system, and simulate the behavior of the system governed by almost the same laws on a computer. In other words, simulation technology is a field of science and technology and industrial technology. Widely used in

  A simulation result obtained by analyzing a physical phenomenon by a simulated calculation by a computer is generally fed back to a user through a display screen, that is, visual information. However, when presenting using visual information, there is a limit in simultaneously displaying multidimensional information.

  Therefore, the information presentation apparatus according to the present invention can display multi-dimensional information at the same time and facilitate understanding by displaying a part of the simulation result by voice. That is, according to the nature, resolution, importance, etc. of the information, the presentation form of each simulation result is divided into visual display by image and auditory display by sound according to the information properties, resolution, importance, and the like. In such a case, a user who is presented with a simulation result can easily understand at a more detailed level by utilizing the characteristics of each sensory organ.

  According to the information presentation device of the present invention, it is possible to intuitively grasp the spatial distribution based on visual information, while tracking temporal changes based on auditory information. For example, the temporal change of the simulation result can be expressed using the modulation waveform and frequency of the auditory signal, the change in the volume of the sound, and the magnitude of the change.

  In addition to the simulation results assigned to the acoustic display, the simulation results assigned to the image display can be calculated at points specified by the user on the screen using a pointing device such as a mouse (scalar). (Quantity or vector quantity) may be converted back to acoustic information and output as audio. In such a case, it is possible to perform identification much higher than vision using a frequency resolution (pitch) or time resolution (rhythm) of acoustic information for a portion that the user pays attention to.

  In addition, on the screen displaying the simulation result, the calculation result (scalar amount or vector amount) that changes according to the route operated by the user using a pointing device such as a mouse is reconverted into acoustic information to convert the sound. You may make it output as a time change. As the pointer moves automatically or manually along the route, a change in the calculation result at the indicated coordinate position may be displayed by voice.

  When using the voice display method, the resolution that the operator can understand is inferior to visual in terms of spatial resolution (localization), but the frequency resolution (pitch) and temporal resolution (rhythm) can be identified much higher than visual. It has the characteristics. In addition, unlike the image, the acoustic display can be distinguished even by blending a plurality of display methods.

  According to a second aspect of the present invention, there is provided a computer described in a computer-readable format so as to execute a process for presenting multidimensional information obtained by arithmetic processing on a computer to a user on a computer system. An information presentation selection procedure for distributing a presentation form relating to information of each dimension to visual display by image and auditory display by sound for the computer system, and distribution to visual display by image in the information presentation selection procedure Image information conversion procedure for converting the obtained information into image information, an image display procedure for image display of the image information generated in the image information conversion procedure, and information distributed to audio auditory display in the information presentation selection procedure Generated in the acoustic information conversion procedure and the acoustic information conversion procedure. The acoustic information is a computer program characterized by executing the sound display procedure for acoustic display.

  The computer program according to the second aspect of the present invention defines a computer program described in a computer-readable format so as to realize predetermined processing on a computer system. In other words, by installing the computer program according to the second aspect of the present invention in the computer system, a cooperative action is exhibited on the computer system, and the information presentation according to the first aspect of the present invention is presented. The same effect as the apparatus can be obtained.

  Advantageous Effects of Invention According to the present invention, an excellent information presentation apparatus, information presentation method, and computer capable of presenting simulation results obtained by analyzing a physical phenomenon by simulation using a computer so that the user can easily understand the phenomenon are provided.・ Provide programs.

  Another object of the present invention is to provide an excellent information presentation apparatus, information presentation method, and computer program capable of expressing multidimensional information obtained as a simulation calculation result so that a user can easily understand a phenomenon. Can be provided.

  Further, according to the present invention, an excellent information presentation apparatus, information presentation method, and computer program capable of simultaneously presenting a spatial distribution and a physical change obtained as a result of simulation so as to facilitate the user's meeting. Can be provided.

  The information presentation apparatus according to the present invention can display multi-dimensional information at the same time and facilitate understanding by displaying a part of the simulation result by voice. In addition, information can be presented to the user with higher resolution than when the simulation result is displayed only as visual information. Visuality is excellent for representing spatial distribution, but it is preferable to use auditory information to follow temporal changes.

  Other objects, features, and advantages of the present invention will become apparent from more detailed description based on embodiments of the present invention described later and the accompanying drawings.

  Hereinafter, embodiments of the present invention will be described in detail with reference to the drawings.

  The present invention relates to a simulation apparatus that formulates or models the behavior of a physical, ecological, or social system and simulates the behavior of the system governed by almost the same law on a computer. The simulation result is generally fed back to the user through a display screen, that is, visual information. However, there is a limit to display multidimensional information at the same time only by visual information. Therefore, the simulation apparatus according to the present invention makes it possible to display multidimensional information at the same time and to facilitate understanding by displaying a part of the simulation result by voice.

  FIG. 1 schematically shows a functional configuration of a simulation apparatus according to an embodiment of the present invention. Such a system can be designed and manufactured as a dedicated hardware device, but can also be realized by executing a predetermined application on a general computer such as a personal computer (PC). is there.

  The simulation apparatus 1 shown in the figure includes a numerical value calculation unit 11, an information presentation selection unit 12, an image information conversion unit 13, an acoustic information conversion unit 14, an image composition unit 15, an image display unit 16, and an acoustic display. A unit 17, a cursor operation unit 18, and a cursor image generation unit 19 are provided.

  The numerical operation unit 11 formulates or models the behavior of any physical, ecological, or social system, calculates the behavior of the system governed by almost the same laws by numerical analysis, and performs multidimensional analysis. A simple simulation result is output. For example, powder behavior simulation in a process such as exposure / charging, development, transfer, and fixing in an electrophotographic image forming apparatus, discharge analysis simulation, and the like are performed.

  The information presentation selection unit 12 visually displays the simulation result presentation form based on the multidimensional calculation result obtained from the simulation calculation in the numerical operation unit 11 according to the nature, resolution, importance, etc. of the information. Distribute between display and auditory display by voice.

  When using the voice display method, the resolution that the operator can understand is inferior to visual in terms of spatial resolution (localization), but the frequency resolution (pitch) and temporal resolution (rhythm) can be identified much higher than visual. It has the characteristics. Therefore, if the simulation result is a spatial distribution, it can be presented so that it can be easily grasped intuitively based on visual information. On the other hand, if the simulation result changes with time, the user can easily track the temporal change by presenting it as auditory information. In addition, unlike the image, the acoustic display can be distinguished even by blending a plurality of display methods.

  Examples of numerical information assigned to sound output instead of images include physical property values, potential fields and scalar fields (potential, magnetic flux density, temperature, humidity, density distribution), and vector fields (fluid, electric field, magnetic field).

  The information presentation selection unit 12 selects an information presentation form automatically or semi-automatically according to the nature, resolution, importance, etc. as information of each simulation result, but of course, it may be selected by a user's manual operation. Good.

  FIG. 2 shows a screen configuration example for setting the information presentation form of the simulation result by manual operation. In the example shown in the figure, either image display or sound display can be selected for each simulation calculation result. In the figure, physical property values are designated by image display, magnetic permeability, potential, and magnetic flux density distribution by acoustic display by filling in respective check boxes. In the case of acoustic display, a display method for a basic waveform (described later) to be used is further designated.

  The image information conversion unit 13 converts the simulation result assigned to the visual display by the image into pixel values such as color tone and shading, and maps them to the corresponding coordinate positions on the image plane. In principle, the three colors of RGB can be independently assigned to different variables for display, and the spatial distribution of the simulation result can be suitably expressed. Then, the simulation result converted into the image information is output on the screen from the image display unit 16 including a monitor / display such as a CRT or LCD.

  The acoustic information conversion unit 14 presents the simulation result distributed to the acoustic display to the user by converting the timbre information such as the basic waveform, frequency, intensity, modulation, and localization of the audio signal. The simulation result converted into the acoustic information is output as a voice from the acoustic display unit 17 including a speaker. The user can easily follow the temporal change of the simulation result from the audio signal.

  The acoustic information conversion unit 14 performs conversion into acoustic information by mapping the input numerical value to a modulation waveform, frequency, magnitude of change, and the like. For example, the basic waveform, frequency, intensity, and localization can be used as basic parameters of acoustic information, and can be converted into acoustic information by performing modulation processing on each parameter according to the original numerical values.

  FIG. 3 illustrates a procedure for converting into acoustic information. For example, several different basic waveforms are prepared, and at the time of acoustic information conversion, one or more of them are selected, and their frequency (pitch), intensity (sound volume), and sound localization are selected. Modulation processing is performed on (the direction in which sound is heard in stereo). When two or more basic waveforms are selected, modulation processing can be performed on the mixing ratio. In the case of PWM, a modulation process is performed on the duty.

  For example, when dealing with the results of powder behavior simulation and discharge analysis simulation in processes such as exposure / charging, development, transfer, and fixing in an electrophotographic image forming apparatus, the frequency of the modulation process and the particle size of the powder By assigning the passage speed of the powder to the intensity, the user can simultaneously understand the three-dimensional information with a feeling similar to that of rain sound. Also, by combining image information, other information such as temperature distribution can be expressed simultaneously.

  The cursor operation unit 18 is composed of a pointing device such as a mouse, and is used by a user to perform an input operation on a screen that is converted into image information and displayed.

  When the user is operating the simulation result, the cursor operation unit 18 points to another calculation result displayed as an image separately from the acoustic display, thereby converting the scalar quantity or vector quantity at the point in the space into a voice. Then, it may be presented to the user.

  Further, the cursor operation unit 18 may indicate a path on the screen, and a change in the calculation result at the indicated coordinate position may be displayed by voice as the pointer moves automatically or manually along the path. In such a case, the operator can feel a finer change that is difficult to be transmitted visually. When converting a scalar quantity into a frequency, it is preferable to logarithmically convert the frequency in order to approximate a human sense of pitch.

  The cursor image generation unit 19 generates image information regarding the path of the cursor operated on the screen by the user via the cursor operation unit 18. The image composition unit 15 synthesizes the simulation result image output from the image information conversion unit 13 and the image related to the cursor path, and displays and outputs the image from the image display unit 16.

  As described above, according to the simulation apparatus according to the present embodiment, the presentation result of each simulation result is displayed as an image according to the nature, resolution, importance, and the like of the multidimensional calculation result obtained by the simulation. The visual display is divided into the audio display and the audio display. A user who is presented with a simulation result can easily understand at a more detailed level by utilizing the characteristics of each sensory organ.

  When using the audio display method, the resolution that the operator can understand is inferior to visual in terms of spatial resolution (localization), but the frequency resolution (pitch) and temporal resolution (rhythm) can be identified much higher than visual. It has the characteristics.

  The present invention has been described in detail above with reference to specific embodiments. However, it is obvious that those skilled in the art can make modifications and substitutions of the embodiment without departing from the gist of the present invention.

  The simulation apparatus according to the present invention can be applied to a powder behavior simulation in a process such as exposure / charging, development, transfer, and fixing in an electrophotographic image forming apparatus and a display output of a simulation result in a discharge analysis simulation. it can. In this case, by assigning the frequency of the modulation process, the particle size of the powder to the frequency, and the passage speed of the powder to the intensity, the user can view the three-dimensional information with a feeling similar to that of rain sound. Can understand at the same time. Also, by combining image information, other information such as temperature distribution can be expressed simultaneously.

  In short, the present invention has been disclosed in the form of exemplification, and the description of the present specification should not be interpreted in a limited manner. In order to determine the gist of the present invention, the claims should be taken into consideration.

FIG. 1 is a diagram schematically illustrating a functional configuration of a simulation apparatus according to an embodiment of the present invention. FIG. 2 is a diagram showing a configuration example of a screen for setting the information presentation form of the simulation result by manual operation. FIG. 3 is a diagram for explaining a procedure for converting into acoustic information. FIG. 4 is a diagram showing a state in which physical property values, potential fields, and magnetic flux densities (vectors) in the analysis region are displayed on different screens as simulation results in the image forming apparatus.

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 ... Simulation apparatus 11 ... Numerical operation part 12 ... Information presentation selection part 13 ... Image information conversion part 14 ... Acoustic information conversion part 15 ... Image composition part 16 ... Image display part 17 ... Acoustic display part 18 ... Cursor operation part 19 ... Cursor Image generator

Claims (27)

An information presentation device for presenting to a user multidimensional information obtained by a calculation process on a computer,
An information presentation selection unit that distributes presentation forms relating to information of each dimension into visual display by image and auditory display by sound;
An image information conversion unit that converts information distributed to visual display by an image by the information presentation selection unit into image information;
An image display unit for displaying an image of the image information generated by the image information conversion unit;
An acoustic information conversion unit that converts the information distributed to the auditory display by voice by the information presentation selection unit into acoustic information;
An acoustic display unit that acoustically displays the acoustic information generated by the acoustic information conversion unit;
An information presentation device comprising: Visualize multidimensional simulation results obtained by numerically analyzing the behavior of systems that are governed by almost the same laws by formulating or modeling the behavior of any physical, ecological, or social system. To present and distribute to display and auditory display,
The information presenting apparatus according to claim 1, wherein: The information presentation selection unit selects a presentation form related to information of each dimension based on at least one of the nature, resolution, and importance of information,
The information presenting apparatus according to claim 1, wherein: The information presentation selection unit distributes information desired to be presented using spatial resolution to visual display, and distributes information desired to present frequency resolution or time resolution to auditory display.
The information presenting apparatus according to claim 1, wherein: The information presentation selection unit distributes numerical information representing a physical property value, a potential field or a scalar field (potential, magnetic flux density, temperature, humidity, density distribution), or a vector field (fluid, electric field, magnetic field) to an auditory display,
The information presenting apparatus according to claim 1, wherein: The information presentation selection unit selects a presentation form related to information of each dimension based on a user designation.
The information presenting apparatus according to claim 1, wherein: The acoustic information conversion unit converts the numerical value into timbre information mapped to at least one of the basic waveform, frequency, intensity, modulation, and localization of the audio signal, with respect to the information distributed to the acoustic display.
The information presenting apparatus according to claim 1, wherein: The acoustic information conversion unit converts at least one of a basic waveform, frequency, intensity, and localization as a basic parameter of acoustic information, and converts the parameter into acoustic information by performing a modulation process on each parameter according to the original numerical value. ,
The information presenting apparatus according to claim 1, wherein: When presenting a multidimensional simulation result obtained by performing a simulation calculation by numerical analysis of the electrophotographic process, the acoustic information conversion unit assigns the particle size of the powder to the frequency and the passage speed of the powder to the intensity.
The information presenting apparatus according to claim 1, wherein: A cursor operation unit that is converted into image information by the image information conversion unit and that is operated by a user with a cursor on a screen displayed on the image display unit;
The information presenting apparatus according to claim 1, wherein: The acoustic information conversion unit converts the scalar amount or vector amount at a point on the space specified by the user via the cursor operation unit into a voice and acoustically presents it,
The information presentation apparatus according to claim 10. When the cursor operation unit indicates a path on the screen, the acoustic information conversion unit converts the calculation result at the indicated coordinate position into the acoustic information as the pointer moves automatically or manually along the path. Convert,
The information presentation apparatus according to claim 10. The acoustic information converter converts the frequency logarithmically when converting the scalar quantity into a frequency.
The information presenting apparatus according to claim 1, wherein: An information presentation method for presenting to a user multidimensional information obtained by calculation processing on a computer,
An information presentation selection step for distributing presentation forms relating to information of each dimension into visual display by image and auditory display by sound;
An image information conversion step of converting the information distributed to the visual display by the image in the information presentation selection step into image information;
An image display step for displaying an image of the image information generated in the image information conversion step;
An acoustic information conversion step for converting the information allocated to the audio auditory display in the information presentation selection step into acoustic information;
An acoustic display step for acoustically displaying the acoustic information generated in the acoustic information conversion step;
An information presentation method characterized by comprising: Visualize multi-dimensional simulation results obtained by numerically analyzing the behavior of systems that are governed by almost the same laws by formulating or modeling the behavior of any physical, ecological, or social system. To present and distribute to display and auditory display,
The information presentation method according to claim 14. In the information presentation selection step, a presentation form relating to information of each dimension is selected based on at least one of the property, resolution, and importance of the information,
The information presentation method according to claim 14. In the information presentation selection step, information desired to be presented using spatial resolution is assigned to visual display, and information desired to be presented with high discrimination of frequency resolution or time resolution is assigned to auditory display.
The information presentation method according to claim 14. In the information presentation selection step, numerical information representing a physical property value, a potential field or a scalar field (potential, magnetic flux density, temperature, humidity, density distribution), or a vector field (fluid, electric field, magnetic field) is distributed to an auditory display.
The information presentation method according to claim 14. In the information presentation selection step, a presentation form relating to information of each dimension is selected based on a user designation.
The information presentation method according to claim 14. In the acoustic information converting step, regarding the information distributed to the acoustic display, the numerical value is converted into timbre information mapped to at least one of the basic waveform, frequency, intensity, modulation, and localization of the audio signal.
The information presentation method according to claim 14. In the acoustic information conversion step, at least one of the basic waveform, frequency, intensity, and localization is set as a basic parameter of the acoustic information, and the acoustic information is converted into acoustic information by performing a modulation process on each parameter according to the original numerical value. ,
The information presentation method according to claim 14. When presenting a multidimensional simulation result obtained by simulation calculation by numerical analysis of the electrophotographic process, in the acoustic information conversion step, the particle size of the powder is assigned to the frequency, and the passage speed of the powder is assigned to the intensity.
The information presentation method according to claim 14. A cursor operation step in which the user operates the cursor on the screen on which the image information generated in the image information conversion step is presented;
The information presentation method according to claim 14. In the acoustic information conversion step, the scalar amount or the vector amount at the point on the space designated by the user in the cursor operation step is converted into speech and presented acoustically.
24. The information presentation method according to claim 23. When the route on the screen is indicated in the cursor operation step, the change in the calculation result at the pointed coordinate position is converted into the acoustic information in the acoustic information conversion step as the pointer moves automatically or manually along the route. Convert,
24. The information presentation method according to claim 23. In the acoustic information conversion step, when converting a scalar quantity to a frequency, logarithmically convert the frequency.
The information presentation method according to claim 14. A computer program written in a computer-readable format so as to execute on a computer system a process for presenting multi-dimensional information obtained by arithmetic processing on a computer to a user. In contrast,
An information presentation selection procedure for distributing presentation forms relating to information of each dimension into visual display by image and auditory display by sound;
An image information conversion procedure for converting information distributed to visual display by an image into image information in the information presentation selection procedure;
An image display procedure for displaying an image of the image information generated in the image information conversion procedure;
An acoustic information conversion procedure for converting the information allocated to the audio auditory display in the information presentation selection procedure into acoustic information;
An acoustic display procedure for acoustically displaying the acoustic information generated in the acoustic information conversion procedure;
A computer program for executing

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