JP5459015B2 - Graph display device and program - Google Patents

Description

  The present invention relates to a graph display device and a program.

  Conventionally, in a graph display device that displays a graph of a functional expression, when displaying a plurality of graphs, an optimal display range is set so that the characteristic portion of each graph is included in the display screen ( For example, see Patent Document 1).

  By the way, for such a graph display device, in recent years, it is desired to be able to display an image on the background of the graph from the aim of enhancing the learning effect by associating the event in the real life with the graph content. The demand is growing. For example, if an image obtained by photographing a fountain from the side and a parabola graph can be displayed in an overlapping manner, it can be easily understood that the shape of the jetted water flow is a parabola.

JP 2007-304656 A

  However, if the graph display range (the display range of the coordinate system determined by each coordinate axis) is moved or enlarged or reduced in order to analyze the shape of the graph from the state where the graph is superimposed on the image, the graph for the image is displayed. As a result, the graph does not match the content of the image. In such a case, if the image contents and the graph are to be matched again, the display range of the graph (the display range of the coordinate system determined by each coordinate axis) must be set again by the user, which is troublesome. End up.

  An object of the present invention is to provide a graph display device and a program capable of displaying a graph superimposed on an image and easily returning the position or size of the graph to the image to a predetermined state.

In order to solve the above problems, the invention according to claim 1 is a graph display device,
Display means capable of setting a coordinate system determined by a plurality of coordinate axes;
Image file storage for storing at least one image file having image data about an image representing a predetermined shape that can be approximated by a graph and additional data indicating a display range of the coordinate system to be associated with the image of the image data Means,
Image file designation means for designating any one of the image files in the image file storage means as a designated image file based on a user operation;
A graph formula input means for inputting a graph formula for a graph to be displayed corresponding to the predetermined shape based on a user operation;
A display range setting means for setting a display range of the coordinate system in accordance with the additional data in the designated image file; and a graph for displaying the graph-type graph on the display means based on the display range set by the display range setting means. Display control means;
Image display control means for displaying the image of the designated image file on the graph displayed by the graph display control means;
A display range movement enlarging means for moving or enlarging the display range of the coordinate system and resetting the display range setting means in response to a user operation while fixing and displaying the image of the designated image file on the display means; ,
Display range return means for resetting the display range of the coordinate system in accordance with the user operation according to the additional data in the designated image file;
It is characterized by providing.

The invention according to claim 2 is the graph display device according to claim 1,
Scale display control means for displaying scales at predetermined scale intervals on predetermined coordinate axes of the plurality of coordinate axes;
While displaying the trace pointer on the graph, the trace pointer is moved on the graph by a predetermined movement amount in the axial direction of the predetermined coordinate axis according to a user operation, and the coordinate value of the trace pointer is displayed on the graph Trace control means to be displayed on the means;
With
The predetermined scale interval and the predetermined movement amount are:
The trace pointer is set so as to be movable to a corresponding position of each scale on the graph.

The invention described in claim 3 is the graph display device according to claim 2,
A display range / scale interval input means for inputting the display range of the coordinate system and the predetermined scale interval based on a user operation;
The display range input by the display range / scale interval input means for the predetermined coordinate axis is corrected so that the trace pointer can be moved to the corresponding position of each scale on the graph, and the image file is used as the additional data. Display range / scale interval correction means to be stored in the storage means;
It is characterized by providing.

Invention of Claim 4 is a graph display apparatus as described in any one of Claims 1-3,
The graph display control means includes:
Axis to be displayed by changing the display mode of each coordinate axis when the display range of the coordinate system is set by moving or enlarging by the display range movement enlarging means and when the display range is not moved or enlarged It has a change display control means.

The invention according to claim 5 is a program,
In a computer having a display means capable of setting a coordinate system determined by a plurality of coordinate axes,
Image file storage for storing at least one image file having image data about an image representing a predetermined shape that can be approximated by a graph and additional data indicating a display range of the coordinate system to be associated with the image of the image data Function and
An image file designation function for designating any one of the image files stored by the image file storage function as a designated image file based on a user operation;
A graph expression input function for inputting a graph expression for a graph to be displayed corresponding to the predetermined shape based on a user operation;
A display range setting function for setting the display range of the coordinate system according to the additional data in the designated image file, and a graph for displaying the graph of the graph on the display means based on the display range set by the display range setting function Display control function,
An image display control function for displaying the image of the designated image file on the graph displayed by the graph display control means;
A display range movement enlargement function for causing the display unit to move or enlarge the display range of the coordinate system and reset the display range setting function in response to a user operation while fixing and displaying the image of the designated image file on the display means; ,
A display range return function for resetting the display range of the coordinate system in accordance with the user operation according to the additional data in the designated image file;
It is characterized by realizing.

According to the present invention, the image file includes image data for an image representing a predetermined shape that can be approximated by a graph, and additional data indicating a display range of a coordinate system to be associated with the image of the image data. If any image file is designated as the designated image file and a graph expression for a graph to be displayed corresponding to a predetermined shape of the image is input based on a user operation, coordinates are added according to the additional data in the designated image file. The display range of the system is set, the graph of the graph type is displayed based on the set display range, and the image of the specified image file is displayed overlaid, so the image data image and the graph are displayed overlaid The graph can be matched to a predetermined shape in the image.
In addition, while the image of the specified image file is fixed and displayed, the display range of the coordinate system is moved or enlarged according to the user operation, and is reset, so that the coordinate axis and graph are moved or enlarged and displayed. Can be analyzed.
Then, the display range of the coordinate system is reset to the original display range according to the additional data in the designated image file in accordance with the user operation. Even if it does not match, the graph can be matched with a predetermined shape in the image again.
Therefore, it is possible to display the graph superimposed on the image and easily return the position or size of the graph to the image to a predetermined state.

It is a top view which shows schematic structure of a graph display system. It is a block diagram which shows the function structure of a personal computer. It is a figure which shows the data structure of an image file. It is a block diagram which shows the function structure of a scientific calculator. It is a flowchart which shows the flow of an image coordinate range setting process. It is a flowchart which shows the flow of a X coordinate range correction process. It is a flowchart which shows the flow of a function graph display process. It is a flowchart which shows the flow of a function graph display process. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display.

Hereinafter, an example of an embodiment according to the present invention will be described in detail with reference to the accompanying drawings. However, the scope of the invention is not limited to the illustrated examples.
[1. Configuration of graph display system]
FIG. 1 is a conceptual diagram showing a schematic configuration of a graph display system 900.
As shown in this figure, the graph display system 900 includes a personal computer 200 and a scientific calculator 1.

[1-1. Computer configuration]
First, the personal computer 200 will be described.
FIG. 2 is a block diagram showing a schematic configuration of the personal computer 200.

  As shown in this figure, a personal computer 200 includes an input unit 201, a display unit 202, a communication unit 203, a recording medium reading unit 207, a flash ROM (Read Only Memory) 204, a RAM (Random Access Memory) 205, and a CPU (Central Processing). Unit) 206 and the like, and each functional unit is connected by a bus.

  The input unit 201 includes an input key group 210 and a mouse 211, and outputs signals input via the input key group 210 and the mouse 211 to the CPU 206. It should be noted that the mouse 211 in the present embodiment is configured to receive a mathematical expression input operation using a GUI (Graphical User Interface) by cooperating with the display unit 202.

  The display unit 202 includes a display 220 and displays various types of information on the display 220 based on signals from the CPU 206. The display 220 is described as being composed of a dot matrix liquid crystal, but it goes without saying that other display devices such as TFT (Thin Film Transistor) liquid crystal and PDP (Plasma Display Panel) may be used.

The communication unit 203 performs data communication with the scientific calculator 1. Note that communication may be performed wirelessly or wired.
The recording medium reading unit 207 reads information from a recording medium 207A such as a USB memory that is detachably mounted.

  The flash ROM 204 stores various programs related to operations such as menu display processing, various setting processing, various arithmetic processing, etc. in the personal computer 200, programs for realizing various functions of the personal computer 200, and the like. In the embodiment, an image coordinate setting program 240, an image data group 242 and an image file group 244 are stored.

  The image coordinate setting program 240 is a program for causing the CPU 206 to execute an image coordinate range setting process (see FIG. 5) described later.

  The image data group 242 stores a plurality of image data 243 for images displayed on the coordinate calculator 1 so as to overlap the coordinate system. Here, the image of each image data 243 represents a predetermined shape (for example, a parabola or a straight line) that can be approximated by a graph, and in this embodiment, as shown in FIG. This is a composite image obtained by continuously shooting objects to be captured. Here, in the image shown in FIG. 9A, balls released obliquely upward are continuously photographed and synthesized at equal intervals, and a parabola is represented by the trajectory of the balls. However, as such an image, an image that is not synthesized, such as an image obtained by photographing a parabolic surface of a parabolic antenna (see the second stage in FIG. 3 described later) or an image of a fountain obtained by photographing a parabolic water flow. An image different from an actual event, such as a drawn image, may be used. Further, the predetermined shape that can be approximated by a graph is not limited to a parabola or a straight line, but may be another shape.

The image file group 244 stores a plurality of image files 245.
Each image file 245 includes image data 247 and additional data 246, as shown in FIG.

  The image data 247 is data about an image portion cut out from the image data 243 in an image coordinate range setting process (see FIG. 5) described later. However, the content of the image data 247 may be the entire image data 243 cut out.

  The additional data 246 includes a coordinate axis display range (values of maximum and minimum coordinates of XY; that is, Xmin, Xmax, Ymin, Ymax) to be associated with the image of the image data 247 and a scale interval (Xscl, Yscl) of each coordinate axis. Show.

  In the image file 245 described above, when the image of the image data 247 is superimposed on the XY coordinate system, the scale position of the X axis matches the position of each object (for example, a ball) synthesized in the image. The contents of the additional data 246 and the cutout range of the image data 247 from the image data 243 are set by an image coordinate range setting process (see FIG. 5) described later (see FIG. 10A).

  The RAM 205 is a memory that can be written at any time to temporarily hold various programs executed by the CPU 206 and data related to the execution of these programs.

  Based on the input instruction, the CPU 206 reads a predetermined program from the flash ROM 204, temporarily stores it in the RAM 205, executes various processes based on the program, and centrally controls each unit of the personal computer 200. That is, the CPU 206 executes various processes based on the read predetermined program, stores the processing results in the work area in the RAM 205, and causes the display unit 202 to display them.

[1-2. Structure of scientific calculator]
[1-2-1. Appearance configuration]
Next, the scientific calculator 1 will be described.
As shown in FIG. 1 described above, the scientific calculator 1 includes an input key group 2 having various key groups and a display 3.

  The input key group 2 is a key group for receiving an input operation of a mathematical expression component such as a numerical value or an arithmetic symbol from a user or an instruction operation of various processes, and a plurality of keys each assigned a unique function. Has a key. In the present embodiment, the input key group 2 includes a numeric keypad 20, an operation symbol key 21, a cursor key 22, an EXE key 23, a delete key 24, a shift key 25, a function key 26, a menu key 27, an EXIT key 28, and the like. ing.

  Among these keys, the numeric keypad 20 is a key for receiving a numerical input operation, and the arithmetic symbol key 21 is a symbol for arithmetic operations, parentheses, a tie line for fractions, a root sign (√), a logarithmic symbol, a constant (circumference “π”). And the speed of light “c”, etc.), a key for receiving input operations of various arithmetic symbols such as a trigonometric function symbol.

  The cursor key 22 is a key that is pressed when the cursor indicating the editing target position or the selection target position is moved in a predetermined direction in the display 3. In the present embodiment, the cursor key 22 is input in four directions, up, down, left, and right. It is configured to be possible.

  The EXE key 23 is a key that receives an input operation of a process execution instruction or a determination instruction, and functions as a key that instructs execution of an arithmetic process after inputting a mathematical expression, for example. The delete key 24 is a key for receiving a delete operation such as a numerical value or a calculation symbol displayed on the display 3. The shift key 25 is a key that is pressed in combination with other keys when switching the function of each key.

  The function key 26 has a plurality of keys for receiving an instruction to execute a predetermined process. In the present embodiment, the function key 26 has six keys 26a to 26f "F1" to "F6". Among these, the “F1” key 26a is a key operated when instructing the trace of the graph in the function graph display process (see FIGS. 7 and 8) described later. The “F2” key 26 b is a key operated when enlarging or reducing the display range of the coordinate system displayed on the display 3. The “F3” key 26c is a key operated when setting / checking the view window information, and the “F6” key 26f displays the display contents on the display 3, a graph, a graph expression of the graph, or a data table. This key is operated when switching between the two. Here, the view window information is information indicating the display mode of the XY coordinate system. In the present embodiment, the display range of the XY coordinate system (the values of the maximum and minimum coordinates of XY; that is, Xmin, Xmax, Ymin, Ymax), the scale interval (Xscl, Yscl) of each coordinate axis, and the dot interval (X dot) in the X-axis direction during graph display. In addition, the dot interval (X dot) in the X-axis direction is a numerical value on the X-axis that corresponds to the dot pitch in the horizontal direction (X-axis direction) when the display 3 displays the X-axis in the full horizontal direction This is a value obtained by dividing the X-axis numerical range (Xmax−Xmin) by the number of dots (Dx) in the X-axis direction on the display 3. When the graph is displayed, the Y value of the graph formula is calculated from the minimum coordinate value of X in dot interval units, plotted at the position of the corresponding coordinate within the display range, and displayed as a graph.

  The menu key 27 is a key for calling up a menu for executing each function in the scientific calculator 1. The EXIT key 28 is a key that is pressed when instructing the end of various processes in the scientific calculator 1.

  The display 3 is composed of an LCD (Liquid Crystal Display), an ELD (Electronic Luminescent Display), etc. In addition to characters and signs, mathematical expressions, calculation results, coordinate axes, graphs, etc. according to the operation of the input key group 2, etc. Various data necessary for using the scientific calculator 1 are displayed by a plurality of dots. In the display 3 in the present embodiment, the X axis is displayed in the horizontal direction, the Y axis is displayed in the vertical direction, and the XY coordinate system is displayed by the XY axis. The number of dots in the X axis direction ( Dx) is “378”. Further, the display 3 in the present embodiment is integrally provided with a touch panel 30 over the entire display screen.

[1-2-2. Functional configuration]
Next, the functional configuration of the scientific calculator 1 will be described.
FIG. 4 is a block diagram illustrating a schematic functional configuration of the scientific calculator 1.

  As shown in the figure, the scientific calculator 1 includes a key input unit 14, a display unit 15, a communication unit 16, a recording medium reading unit 17, a RAM (Random Access Memory) 12, a storage unit 13, and a CPU. (Central Processing Unit) 11.

  The key input unit 14 includes the input key group 2 described above, and outputs an operation signal corresponding to the pressed key to the CPU 11.

  The display unit 15 includes the display 3 described above, and displays various types of information on the display 3 in accordance with display signals from the CPU 11. Further, the display unit 15 includes a touch panel 30 provided integrally with the display 3, and outputs contact position information of the input pen with respect to the display screen to the CPU 11.

The communication unit 16 performs data communication with the communication unit 203 in the personal computer 200. Note that the communication unit 16 in the present embodiment receives the image file 245 from the personal computer 200 and stores it in the storage unit 13.
The recording medium reading unit 17 reads information from a recording medium 207A such as a USB memory that is detachably mounted.

  The RAM 12 is a volatile memory that temporarily stores information, and has a plurality of work areas that store various programs to be executed and data related to these various programs. For example, the RAM 12 in the present embodiment has a mathematical expression storage area 120, a view window information storage area 121, and the like as work areas.

  The mathematical formula storage area 120 is configured to store a graph formula that is input in a function graph display process (see FIGS. 7 and 8) described later.

  The view window information storage area 121 stores view window information set in a function graph display process (see FIGS. 7 and 8), which will be described later. In this embodiment, the view window information storage area 121 has a default value. X-axis display range “Xmin: −6.3, Xmax: 6.3”, scale interval “Xscl: 1”, Y-axis display range “Ymin: −3.1, Ymax: 3.1”, scale interval “Yscl: 1” and dot interval “X dot: 0.033...” (= (6.3 − (− 6.3)) / 378) in the X-axis direction are stored.

  The storage unit 13 is a non-volatile memory composed of a ROM (Read Only Memory) or the like, and stores various programs and various data. Specifically, the storage unit 13 stores a function graph display program 130 as a program according to the present invention and an image file group 131.

  The function graph display program 130 is a program for causing the CPU 11 to execute a function graph display process (see FIGS. 7 and 8) described later.

  The image file group 131 stores a plurality of image files 245 transmitted from the personal computer 200 via the communication unit 16.

  The CPU 11 centrally controls each part of the scientific calculator 1. Specifically, the CPU 11 expands a program specified from the system program and various application programs stored in the storage unit 13 in the RAM 12 and performs various processes in cooperation with the program expanded in the RAM 12. Run.

[2. Operation of graph display system]
[2-1. PC operation]
Next, the operation of the personal computer 200 will be described.

  FIG. 5 is a flowchart for explaining the operation of the image coordinate range setting process executed in the personal computer 200. In this image coordinate range setting process, when an execution instruction for the image coordinate range setting process is input by the user via the input unit 201, the image coordinate setting program 240 is read from the flash ROM 204 and appropriately expanded in the RAM 205. As a result, the image coordinate setting program 240 and the CPU 206 are executed in cooperation.

  As shown in this figure, in the image coordinate range setting process, first, when the user designates any image data 243 from the image data group 242 as designated image data (hereinafter designated designated data data 243S) (step S1). The CPU 206 displays the image of the designated image data 243S on the display 220 (step S2).

  Next, when the user inputs the display range of the XY coordinate system (the values of the maximum and minimum coordinates of XY; that is, Xmin, Xmax, Ymin, Ymax) and the scale interval (Xscl, Yscl) (step S3), the CPU 206 After these input contents are displayed on the display 220, an X coordinate range correction process is performed (step S4).

  Specifically, as shown in FIG. 6, in this X coordinate range correction process, the CPU 206 first calculates the dot interval (Xdot) in the X-axis direction and the trace interval (Xt) by the following formulas (1) to (3). ) And a trace interval correction value (Xt ′) are calculated (steps V1 to V3). In the expression, “n” represents the X-axis direction component of the movement amount when the trace pointer T (see FIG. 13) of the graph moves once in the function graph display process (see FIGS. 7 and 8) described later. The value is represented by the number of dots, and in this embodiment, the value of “n” is “3”. In the formula, “INT ()” is a so-called INT function, which is a function that rounds down the decimal part of the value in parentheses to make it an integer.

X-axis direction dot spacing: Xdot = (Xmax−Xmin) / Dx (1)
Trace interval: Xt = nXdot (2)
Trace interval correction value: Xt '= Xscl / INT (Xscl / Xt) (3)

  Here, the trace interval correction value (Xt ′) is a value obtained by dividing the X-axis scale interval (Xscl) by the integer “INT (Xscl / Xt)”, in other words, the trace interval correction value (Xt ′). ) Multiplied by an integer “INT (Xscl / Xt)” is the scale interval (Xscl) of the X axis. Therefore, according to such a trace interval correction value (Xt ′), when the trace pointer T exists at the corresponding position of the X-axis scale on the graph, the trace interval T in the X-axis direction on the graph is displayed. By moving the correction value (Xt ′) by integer “INT (Xscl / Xt)” times, the trace pointer T can be arranged at the corresponding position of each scale.

Next, the CPU 206 calculates an X-axis direction dot interval correction value (Xdot ′) by the following equation (4) (step V4).
X-axis direction dot interval correction value: Xdot ′ = Xt ′ / n (4)

  The X-axis direction dot interval correction value (Xdot ′) is used when a graph is drawn in a function graph display process (see FIGS. 7 and 8) described later. The X-axis coordinate value is substituted into the graph formula for each dot interval (Xdot ') from the minimum coordinate value (Xmin), and the Y-axis value is calculated, and the plot is sequentially performed at the corresponding coordinate position in the display range. A graph is drawn. The dot interval (Xdot ′) is a value obtained by dividing the X-axis scale interval (Xscl) by the integer “INT (Xscl / Xt)” and the integer “n” (see equations (3) and (4)). In other words, a value obtained by multiplying the dot interval (Xdot ′) by the integer “n” and the integer “INT (Xscl / Xt)” is the X-axis scale interval (Xscl). Therefore, in the graph drawn with this dot interval (Xdot ′), even if the actual dot position of the display 3 is slightly deviated from the X-axis scale position to be displayed, the dot interval (Xdot) Since the calculated dot position based on ') matches the scale position, the Y-axis value at the corresponding position of the X-axis scale (the corresponding dot position on the actual display 3) and the scale value in the graph expression The value of the Y-axis that is calculated by substituting exactly matches.

  Next, the CPU 206 calculates the minimum scale value (Xms), the length from the minimum scale value (Xms) to the minimum coordinate value (Xmin) of the X axis, and the X axis by the following formulas (5) to (9). The number of trace intervals from the minimum coordinate value (Xmin) to the minimum scale value (Xms), the Xmin correction value (Xmin ′), and the Xmax correction value (Xmax ′) are calculated (steps V5 to V9). The minimum scale value (Xms) is the smallest scale value among the scale values on the X axis. In the formula, “Round (, 0)” is a so-called Round function, which returns an integer value obtained by rounding the numerical value of the previous part in parentheses to “0” (1st decimal place). is there.

Minimum scale value: Xms = Xscl * Round (Xmin / Xscl, 0) (5)
Length from minimum scale value Xms to Xmin = Xms-Xmin (6)
Number of trace intervals from Xmin to minimum scale value Xms = Round (((Xms-Xmin) / Xt '), 0) ... (7)
Xmin correction value: Xmin '
= Minimum scale value Xms- (Number of trace intervals from Xmin to minimum scale value Xms) * Xt '(8)
Xmax correction value: Xmax ′ = Xmin ′ + Dx * Xdot ′ (9)

  Here, in the above equation (7), the number of trace intervals from the minimum coordinate value (Xmin) of the X axis to the minimum scale value (Xms) (= Round (((Xms-Xmin) / Xt '), 0)) Indicates the number of times of movement when the trace pointer T is moved by the trace interval correction value (Xt ′) from the minimum coordinate value (Xmin) of the X axis toward the minimum scale (however, rounded to an integer). . Therefore, the value obtained by multiplying the “trace interval number (number of movements)” by the trace interval correction value (Xt ′) in the above equation (8) is from the minimum coordinate value (Xmin) of the X axis toward the minimum scale. The movement amount (numerical value on the X-axis) when the trace pointer T is moved by the number of times of “trace interval number (number of movements)” for each trace interval correction value (Xt ′) is shown. Since the Xmin correction value (Xmin ′) is a value obtained by subtracting the “movement amount” from the minimum scale value (Xms) of the X axis, according to the Xmin correction value (Xmin ′), the minimum coordinate of the X axis When the value (Xmin) is replaced with the Xmin correction value (Xmin ') and the X axis is drawn from the minimum coordinate value (Xmin') side, the trace pointer T is the corresponding position of the X axis scale on the graph, or the minimum coordinate The trace pointer T is moved by an integer (INT (Xscl / Xt)) times in the X-axis direction by the trace interval correction value (Xt ′) as long as it exists at the position corresponding to the value (Xmin ′). Can be arranged at the corresponding position of each scale and the corresponding position of the minimum coordinate value (Xmin ′) of the X axis. Further, since the above Xmax correction value (Xmax ′) is a value calculated based on the Xmin correction value (Xmin ′) and the X-axis direction dot interval correction value (Xdot ′), the maximum X-axis coordinate value ( The trace pointer T can also be arranged at the corresponding position of Xmax ′).

  Then, the CPU 206 calculates a fine adjustment value (Δ), an Xmin recorrection value (Xmin ″), and an Xmax recorrection value (Xmax ″) by the following equations (10) to (12). (Steps V10 to V12), the X coordinate range correction process is terminated.

Fine adjustment value: Δ = Round (Round (((Xmax−Xmax ′) / Xt ′), 0) / 2) (10)
Xmin re-correction value: Xmin ″ = Xmin ′ + Δ * Xt ′ (11)
Xmax re-correction value: Xmax ″ = Xmax ′ + Δ * Xt ′ (12)

  Here, when the X axis is drawn with the Xmin correction value (Xmin ′) and the Xmax correction value (Xmax ′), the corresponding position of each scale and the minimum coordinate value (Xmin ′) of the X axis as described above. ), The trace pointer T can be placed at the corresponding position of the X-axis maximum coordinate value (Xmax '), but the display range of the X-axis is shifted relative to one of the minimum value side and the maximum value side. End up. When the X-axis is drawn by replacing the minimum coordinate value (Xmin ') and maximum coordinate value (Xmax') of the X-axis with this point, the Xmin re-correction value (Xmin ") and the Xmax re-correction value (Xmax") Since the display range of the X axis can be evenly shifted with respect to the minimum value side and the maximum value side, the X axis is prevented from shifting only to one side.

  When the above X coordinate range correction processing is completed, as shown in FIG. 5, the CPU 206 next displays the X coordinate display range (Xmin, Xmax) before correction by the X coordinate range correction processing and the X coordinate after correction. The display range (Xmin ″, Xmax ″) is displayed on the display 220, and the Y-axis display range (Ymin, Ymax) input in step S3 and the scale interval (Xscl, Yscl) of each coordinate axis are displayed. It is displayed (step S5). At this time, the CPU 206 resets the corrected X coordinate display range (Xmin ″, Xmax ″) as a new display range (Xmin, Xmax), and sets the display range (Xmin, Xmax, Ymin). , Ymax; where Xmin = Xmin ″, Xmax = Xmax ″), the XY axes are displayed on the image of the designated image data 243S, and the scale of each coordinate axis is the scale interval (Xscl, Yscl) input in step S3. And grid lines are displayed.

Next, the CPU 206 determines whether an up / down / left / right movement operation is performed on the image (step S6).
If it is determined in step S6 that the moving operation has been performed (step S6; Yes), the CPU 206 moves the image of the designated image data 243S in the direction indicated by the moving operation while fixing and displaying the XY axes. Are displayed (step S7), the process proceeds to step S6 described above. This movement operation can be performed by a drag operation with the mouse 211 or the like.

  If it is determined in step S6 that the up / down / left / right movement operation is not performed (step S6; No), the CPU 206 determines whether an enlargement operation is performed on the image (step S8). If it is determined (step S8; Yes), the image of the designated image data 243S is enlarged and displayed at a magnification set corresponding to the enlargement operation while the XY axes are fixed (step S8). S9), the process proceeds to step S6 described above. In this image coordinate range setting process, enlarging includes enlarging to a magnification of less than 1, such as 1/2, that is, reducing. The enlargement operation can be performed by a drag operation with the mouse 211 or the like.

  Through the above steps S6 to S9, the cutout range of the image data 247 from the image data 243 is set so that the X-axis scale position matches the position of each object (for example, a ball) synthesized in the image of the designated image data 243S. It is set (see FIG. 10A).

  If it is determined in step S8 that the enlargement operation is not performed (step S8; No), the CPU 206 determines whether the user performs a storage operation (step S11), and determines that it is not performed. If so (step S11; No), the process proceeds to another process.

  On the other hand, if it is determined in step S11 that the save operation has been performed (step S11; Yes), the CPU 206 causes the user to input a file name (step S12), and from the image in the designated image data 243S, After the image data 247 is formed by cutting out the overlapping portion with the display range (Xmin, Xmax, Ymin, Ymax; where Xmin = Xmin ″, Xmax = Xmax ″) of the XY coordinate system set in ( In step S13), the display range (Xmin, Xmax, Ymin, Ymax; Xmin = Xmin ″, Xmax = Xmax ″) of the coordinate system and the scale interval (Xscl, Yscl) are added to the image data 247. An image file 245 is formed by adding it as H.246, stored in the flash ROM 204 in association with the input file name (step S14), and the image coordinate range setting process ends.

[2-2. Operation of scientific calculator]
Next, the operation of the scientific calculator 1 will be described.

  7 and 8 are flowcharts for explaining the operation of the function graph display process. In this function graph display process, when a user inputs an instruction to execute the function graph display process via the touch panel 30 or the key input unit 14, the function graph display program 130 is read from the storage unit 13 and stored in the RAM 12. As a result of appropriate expansion, the function graph display program 130 and the CPU 11 are executed in cooperation.

  As shown in FIG. 7, in the function graph display process, first, when the user designates one of the image files 245 in the image file group 131 as a background image of the coordinate system (step T1), the CPU 11 designates the designated image file. An image of H.245 (hereinafter, designated image file 245S) is displayed on the display 3 (step T2).

  Next, the CPU 11 determines whether or not an operation for setting the additional data 246 added to the designated image file 245S as the view window information is performed (step T3). At T3; No), the view window information is maintained at the default value in the view window information storage area 121, and the process proceeds to Step T5 described later.

  If it is determined in step T3 that an operation for setting the additional data 246 as view window information has been performed (step T3; Yes), the CPU 11 includes the contents of the additional data 246 added to the designated image file 245S. That is, the display range of the coordinate system (Xmin, Xmax, Ymin, Ymax; where Xmin = Xmin ″, Xmax = Xmax ″) and the scale interval (Xscl, Yscl), and the above formula (1) to The dot interval (Xdot ′) in the X-axis direction calculated by Expression (4) is set as view window information, and the information in the view window information storage area 121 is updated (step T4).

  Next, the CPU 11 determines whether or not an operation for confirming the view window information is performed (step T5). When it is determined that the operation is not performed (step T5; No), the CPU 11 proceeds to step T7 described later. Transition. In the present embodiment, a display instruction operation for view window information is performed via the “F3” key 26c.

  If it is determined in step T5 that an operation for confirming the view window information has been performed (step T5; Yes), the CPU 11 displays the view window information in the view window information storage area 121 on the display 3. (Step T6).

  Next, the CPU 11 causes the user to set up the display mode (step T7). In this step T7, the user sets “Axes” (XY axes) to “on” (displays the coordinate axes), “off” (hides the coordinate axes), “scale” (with scale value) Set the “Label” (XY axis coordinate axis name and origin position “0”) to “on” (display), “off” (hide) Whether to set “Grid” (grid) to “on” (display grid points), “off” (hide grids), “line” (display grid lines), etc. Can be set. However, in the present embodiment, it is assumed that the setting of “Axes” (XY axes) is set to “on” (displays coordinate axes) or “scale” (displays coordinate axes with scale values). To do.

  Next, the CPU 11 allows the user to input a graph expression for a graph to be displayed in correspondence with a predetermined shape (parabola, straight line, etc.) in the image (step T8), and then uses the image of the designated image file 245S as the background. While displaying, the XY axis and the scale of each axis are displayed based on the view window information in the view window information storage area 121 and the contents of the setup of the display mode, and the graph type is displayed in the XY coordinate system determined by the XY axis. Is displayed (step T9). More specifically, at this time, when displaying the XY axes, the CPU 11 displays the XY axes of the display range (Xmin, Xmax, Ymin, Ymax) in the view window information in accordance with the horizontal width and vertical width of the image. . At this time, when the graph is drawn and displayed, the CPU 11 calculates the value of the Y axis by substituting the X axis coordinate value into the graph formula for each dot interval (Xdot ') from the X axis minimum coordinate value (Xmin). Then, the graph is drawn and displayed by sequentially plotting the corresponding coordinates within the display range. Further, for example, when “Axes” is set to “scale” in the setup of the display mode, in this step T9, the CPU 11 displays the X axis and the Y axis, and the view window information is displayed on these XY axes. The scale and scale value are displayed with the scale interval (Xscl, Yscl).

  Here, when the content of the additional data 246 added to the designated image file 245S in step T4 described above is set as view window information, each object (for example, synthesized in the image (for example, The display range of the coordinate system (Xmin, Xmax, Ymin, Ymax; where Xmin = Xmin ″, Xmax = Xmax ″) and the coordinate axis scale interval ( Xscl, Yscl) is set, and therefore, in the XY coordinate system superimposed on the image of the image data 247, the scale position of the X axis coincides with the position of each synthesized object (for example, a ball).

  Next, as shown in FIG. 8, the CPU 11 determines whether or not an operation for tracing a point on the graph is performed (step T10). In the present embodiment, the “F1” key 26a. Trace instructions are made via the.

  If it is determined in step T10 that the operation for tracing is not performed (step T10; No), the CPU 11 determines whether or not the operation for moving the display range of the coordinate system up, down, left and right is performed. Determination is made (step T21).

  If it is determined in step T21 that an operation for moving the display range has been performed (step T21; Yes), the CPU 11 moves the operation while fixing the image of the designated image file 245S on the display 3. The display range of the XY coordinate system is moved in the direction indicated by, and the display range (Xmin, Xmax, Ymin, Ymax) of the coordinate system in the view window information storage area 121 is set again, and the coordinate system displayed on the display 3 is changed. The display range is updated (step T22), and the process proceeds to step T9 described above as shown in FIG. In step T22, the CPU 11 displays the display range (Xmin, Xmax, Ymin, Ymax) of the newly set coordinate system and the display range (Xmin, Xmax, Ymin) in the additional data 246 added to the designated image file 245S. , Ymax; where Xmin = Xmin ″, Xmax = Xmax ″), the XY axis display mode is changed by displaying the XY axis as a thick line or a colored line. . If grid lines are displayed on the display 3 at this time, the CPU 11 may change the display mode of the grid lines in the same manner.

  As shown in FIG. 8, when it is determined in step T21 that the operation to move the display range is not performed (step T21; No), the CPU 11 enlarges the display range of the coordinate system. It is determined whether or not an operation is performed (step T23).

  If it is determined in step T23 that an operation for expanding the display range of the coordinate system has been performed (step T23; Yes), the CPU 11 fixes and displays the image of the designated image file 245S on the display 3. The display range of the XY coordinate system is enlarged by the magnification set corresponding to the enlargement operation, and the display range of the coordinate system (Xmin, Xmax, Ymin, Ymax) in the view window information storage area 121 is reset and displayed. 3 is updated (step T24), and the process proceeds to the above-described step T9 as shown in FIG. In step T24, the CPU 11 also displays the display range (Xmin, Xmax, Ymin) of the newly set coordinate system and the display range (Xmin, Xmax, Ymin) of the additional data 246 added to the designated image file 245S. , Ymax; where Xmin = Xmin ″, Xmax = Xmax ″), the XY axis display mode is changed by displaying the XY axis as a thick line or a colored line. . If grid lines are displayed on the display 3 at this time, the CPU 11 may change the display mode of the grid lines in the same manner. In this function graph display process, the enlargement includes enlargement to a magnification of less than 1, such as 1/2, that is, reduction.

  Further, as shown in FIG. 8, when it is determined in step T23 that an operation for expanding the display range of the coordinate system is not performed (step T23; No), the CPU 11 performs an operation for analyzing the graph. Is determined (step T25). In this embodiment, analyzing the graph means obtaining an X-axis intercept in the graph.

  When it is determined in step T25 that an operation for analyzing the graph has been performed (step T25; Yes), the CPU 11 determines that “X” in the case of Y = 0 in the graph formula (Y = f (X)). Is calculated and displayed on the display 3, and the trace pointer T (see FIG. 14C) is displayed on the X-axis intercept of the graph (step T26).

  Next, the CPU 11 determines whether or not an operation for ending the analysis of the graph is performed (step T27). When it is determined that the operation is not performed (step T27; No), the CPU 11 proceeds to the above-described step T26. On the other hand, if it is determined that the process has been performed (step T27; Yes), the process proceeds to step T8 described above as shown in FIG.

  Further, as shown in FIG. 8, when it is determined in step T25 that the operation for analyzing the graph is not performed (step T25; No), the CPU 11 changes the view changed in the above-described steps T22 and T24. It is determined whether or not an operation for restoring the window information is performed (step T16). When it is determined that the operation is not performed (step T16; No), the process proceeds to another process.

  On the other hand, if it is determined in step T16 that the operation for restoring the view window information has been performed (step T16; Yes), the CPU 11 fixes and displays the image of the designated image file 245S on the display 3. The contents of the additional data 246 added to the designated image file 245S, that is, the coordinate system display range (Xmin, Xmax, Ymin, Ymax; where Xmin = Xmin ″, Xmax = Xmax ″) and the scale interval (Xscl, Yscl) and the dot interval (Xdot ′) in the X-axis direction calculated from the contents by the above formulas (1) to (4) are reset as the view window information and stored in the view window information storage area 121 After updating the information and updating the display range of the coordinate system displayed on the display 3 (step T17), the process proceeds to step T9 as shown in FIG. In step T17, the CPU 11 restores the display mode of the XY axes and grid lines changed in steps T22 and T24.

  Further, as shown in FIG. 8, when it is determined that the operation for tracing is performed in the above-described step T10 (step T10; Yes), the CPU 11 displays the trace pointer T (FIG. 13A) to be displayed. The X coordinate value for (see) is set to a predetermined initial value (step T11). In the present embodiment, as the initial value of the X coordinate value, for example, the scale value of any scale on the X axis, or the maximum value (Xmax) or minimum value (Xmin) in the display range of the X axis is used. In the present embodiment, the scale value is an intermediate position in the display range (Xmin, Xmax) of the X axis.

  Next, the CPU 11 displays the trace pointer T at the corresponding point of the currently set X coordinate value among the points on the graph, and displays the XY coordinate of the trace pointer T on the lower portion of the display 3 ( Step T12).

  Next, the CPU 11 determines whether or not a left / right movement operation is performed on the trace pointer T (step T13). If it is determined that the operation has been performed (step T13; Yes), the trace is performed according to the above-described equation (3). An interval correction value (Xt ′) is calculated and set as a trace interval (Xt; Xt = Xt ′), and the X coordinate value of the trace pointer T is set in the direction specified by the operation to the trace interval (Xt; where Xt = Xt ′) is increased / decreased and reset (step T14), and then the process proceeds to step T12 described above.

  At this time, when the content of the additional data 246 in the designated image file 245S is set as the view window information in the above-described steps T4 and T17, the trace pointer T is set by the trace interval correction value (Xt ′) in this way. By moving in the X-axis direction on the graph, the trace pointer T is moved to the corresponding position of each scale, the corresponding position of the minimum coordinate value (Xmin; Xmin = Xmin ″), the maximum coordinate value (Xmax) as described above. ; However, it can be moved to the corresponding position of Xmax = Xmax ″).

  On the other hand, when it is determined in step T13 that the left / right movement operation is not performed on the trace pointer T (step T13; No), the CPU 11 determines whether an operation for ending the trace is performed (step S13). T15).

  If it is determined in step T15 that the operation to end the trace has been performed (step T15; Yes), the CPU 11 proceeds to the above-described step T9 as shown in FIG.

  As shown in FIG. 8, when it is determined in step T15 that the operation to end the trace is not performed (step T15; No), the CPU 11 proceeds to the above-described step T16.

[1.4 Operation example]
Next, the above-described operation in the personal computer 200 and the scientific calculator 1 will be specifically described with reference to the drawings.

  First, when the user designates any image data 243 from the image data group 242 as designated image data 243S in the personal computer 200 (step S1), the image of the designated image data 243S is displayed on the display 220 as shown in FIG. It is displayed (step S2). In this operation example, the image of the designated image data 243S is an image obtained by continuously shooting the balls released diagonally upward at equal intervals.

  Next, the user displays the display range of the X axis and the Y axis (“Xmin: 0”, “Xmax: 6”, “Ymin: 0”, “Ymax: 3”) and the scale interval (“Xscl: 0.5”) , “Yscl: 0.5”) (step S3), the input contents are displayed on the display 220. Further, the dot interval (Xdot), the trace interval (Xt), the trace interval correction value (Xt ′), and the X-axis direction dot interval correction value (Xdot ′) are expressed by the above formulas (1) to (12). The minimum scale value (Xms), the length from the minimum scale value (Xms) to the minimum coordinate value (Xmin) of the X axis, and the trace interval from the minimum coordinate value (Xmin) to the minimum scale value (Xms) of the X axis Number, Xmin correction value (Xmin ′), Xmax correction value (Xmax ′), fine adjustment value (Δ), Xmin recorrection value (Xmin ″), Xmax recorrection value (Xmax ″), Is calculated as follows (steps V1 to V12).

Dot spacing in the X-axis direction: Xdot = 0.015873016
Trace interval: Xt = 0.047619048
Trace interval correction value: Xt ′ = 0.05
X-axis direction dot interval correction value: Xdot '= 0.016666667
Minimum scale value: Xms = 0
Length from minimum scale value Xms to Xmin: 0
Number of trace intervals from Xmin to minimum scale value Xms: 0
Xmin correction value: Xmin '= 0
Xmax correction value: Xmax '= 6.3
Fine adjustment value: △ = -3
Xmin re-correction value: Xmin '' =-0.15
Xmax re-correction value: Xmax '' = 6.15

  Next, as shown in FIG. 9B, the X coordinate display range (“Xmin: 0”, “Xmax: 6”) before correction by the X coordinate range correction processing, and the corrected X coordinate display range. ("Xmin": -0.15 "," Xmax ": 6.15") are displayed on the display 220 and the display range of the Y axis ("Ymin: 0", "Ymax: 3") And the scale interval (“Xscl: 0.5”, “Yscl: 0.5”) of each coordinate axis is displayed (step S5). At this time, the corrected X coordinate display range ("Xmin": -0.15 "," Xmax ": 6.15") is reset as a new display range (Xmin, Xmax). The XY axes are displayed on the image of the designated image data 243S within the set display range (“Xmin: −0.15”, “Xmax: 6.15”, “Ymin: 0”, “Ymax: 3”). . Further, the scale of each coordinate axis and the grid line are displayed at a scale interval (“Xscl: 0.5”, “Yscl: 0.5”).

  Next, when the user performs an enlargement operation on the image (step S8; Yes), as shown in FIG. 9C, the XY axes are fixed and displayed at a magnification set corresponding to the enlargement operation. The image of the designated image data 243S is enlarged and displayed (step S9). In this operation example, the image is mainly stretched in the horizontal direction at this time.

  Next, when the user performs an up / down / left / right moving operation on the image (step S6; Yes), as shown in FIG. 10A, the XY axes are fixed and displayed, and the direction indicated by the moving operation (here, The image of the designated image data 243S is moved and displayed in the left direction (step S7).

  As a result, the cutout range of the image data 247 from the image data 243 is set so that the X-axis scale position matches the position of each object (ball) synthesized in the image of the designated image data 243S.

  Then, as shown in FIG. 10B, when the user performs a save operation (step S11; Yes) and inputs a file name “BALL” (step S12), the current image is set from the image in the designated image data 243S. A portion overlapping the display range (“Xmin: −0.15”, “Xmax: 6.15”, “Ymin: 0”, “Ymax: 3”) in the XY coordinate system is cut out and image data 247 is extracted. (Step S13), the display range of the coordinate system (“Xmin: −0.15”, “Xmax: 6.15”, “Ymin: 0”, “Ymax: 3”) is added to the image data 247, The scale interval (“Xscl: 0.5”, “Yscl: 0.5”) is added as additional data 246 to form an image file 245, which is associated with the input file name “BALL” in the flash ROM 204. Saved (step S14).

  Next, after the image file 245 is stored in the storage unit 13 via the communication unit 16, as shown in FIGS. 11A to 11D, the user has an image with the file name “BALL” in the scientific calculator 1. When the file 245 is designated as a background image (step T1), the image of the image file 245 is displayed on the display 3 (step T2). Note that FIG. 11A shows a state in which the setting item “background” of the coordinate system background image is selected from the setup menu, and “None” (no background), “ A selection key 300 of “PICTn” (displays an image specified by an image number) and “OPEN” (displays an image read from an image file) is displayed as a soft key. FIG. 11B shows a state where “OPEN” is selected from the state of FIG. 11A, and the image file 245 can be selected from the file name.

  Next, when the user performs an operation for setting the additional data 246 added to the image file 245 as view window information (step T3; Yes), as shown in FIGS. The contents of the additional data 246 added to the file 245, that is, the display range of the coordinate system ("Xmin: -0.15", "Xmax: 6.15", "Ymin: 0", "Ymax: 3") and scale The intervals “Xscl: 0.5”, “Yscl: 0.5”, and the dot interval “Xdot ′: 0.016... In the X-axis direction calculated from the contents by the above formulas (1) to (4). Is set as the view window information, and the information in the view window information storage area 121 is updated (step T4).

Next, the user sets the setting of “Axes” (XY axis) to “on” (displays the coordinate axes), and the setting of “Label” (the coordinate axis name of the XY axes and the origin position “0”) to “off” (non-display) Display), setting the “Grid” (grid) to “line” (display grid lines), and setting up the display mode (step T7), as shown in FIG. 12C, the parabola shape in the image When a graph expression “Y = −0.28 (X−3.1) ² +2.8” for a graph to be displayed in correspondence with is input (step T8), as shown in FIG. The image of the file 245 is displayed in the background, and the XY axes, scales of each axis, and grid lines are displayed based on the view window information in the view window information storage area 121 and the content of the display mode setup. On the XY axes , The graph of the graph formula ^{"Y = -0.28 (X-3.1)} 2 +2.8 " is displayed on the coordinate system determined Ri (step T9). More specifically, when the XY axes are displayed, the display range (“Xmin: −0.15”, “Xmax: 6.15”, “Ymin: 0”, “Ymax: 3”) in the view window information is displayed. The XY axes are displayed in accordance with the horizontal width and vertical width of the image. Further, when the graph is drawn and displayed, the X-axis coordinate value is substituted into the graph formula every dot interval “Xdot ′: 0.016...” From the minimum X-axis coordinate value “Xmin: −0.15” to Y. The value of the axis is calculated, and the graph is drawn and displayed by sequentially performing plotting at the position of the corresponding coordinate within the display range. At this time, when the user operates the “F6” key 26f, the display content on the display 3 is switched to only the graph as shown in FIG.

  Here, in this view window information, the coordinate system display range (“Xmin: −0.15”, “Xmax” is set so that the scale position of the X axis coincides with the position of each object (ball) synthesized in the image. : 6.15 ”,“ Ymin: 0 ”,“ Ymax: 3 ”) and coordinate axis scale intervals“ Xscl: 0.5 ”and“ Yscl: 0.5 ”are set, so that the image data 247 In the XY coordinate system overlaid on the image, the scale position of the X axis coincides with the position of each synthesized object (ball).

  Next, when the user performs an operation for tracing a point on the graph (step T10; Yes), the X coordinate value of the trace pointer T to be displayed is “3” (the intermediate position of the display range of the X axis). (Scale value) is set (step T11), and as shown in FIG. 13A, the trace pointer T is displayed at the corresponding point of the X coordinate value “3”, and the XY coordinate value of the trace pointer T is displayed on the display. 3 (step T12). In this operation example, a graph expression is displayed on the upper left of the display 3 at this time. At this time, when the user operates the “F6” key 26f, as shown in FIG. 13B, the display content on the display 3 is switched to only the graph.

  Next, when the user performs an operation of moving the trace pointer T in the right direction twice (step T13; Yes), as shown in FIG. 13C, the X coordinate value “3” of the trace pointer T in the right direction. Is incremented twice by the trace interval “Xt ′: 0.05” and reset to “3.1” (step T14), the trace pointer T is displayed at the corresponding point of the X coordinate value “3.1”, and The XY coordinate value of the trace pointer T is displayed at the bottom of the display 3 (step T12). In this way, the trace pointer T is moved in the X-axis direction on the graph by the trace interval correction value “Xt ′: 0.05”, so that the corresponding position of each scale at the scale interval “Xscl: 0.5” The trace pointer T can be moved to the corresponding position of the minimum coordinate value “Xmin: −0.15” and the corresponding position of the maximum coordinate value “Xmax: 6.15”. If the user operates the “F6” key 26 f at this time, the display content on the display 3 is switched to only the graph as shown in FIG.

  Next, when the user performs an operation to move the display range of the coordinate system up, down, left, and right (step T21; Yes), the direction of the instruction by the moving operation (here) The display range of the XY coordinate system ("Xmin: -0.15", "Xmax: 6.15", "Ymin: 0", "Ymax: 3") is moved to the right and down) in the view window The display range of the coordinate system in the information storage area 121 is reset, and the display range of the displayed coordinate system is updated as shown in FIG. 14A (step T22). At this time, the XY axes are displayed as bold lines, and the display mode is changed. At this time, when the user operates the “F6” key 26f, the display content on the display 3 is switched to only the graph as shown in FIG.

Next, when the user performs an operation for analyzing the graph (step T25; Yes), as shown in FIG. 14C, the graph formula “Y = −0.28 (X−3.1) ² +2”. .8 ”when“ Y = 0 ”, the value“ 6.26... ”Of“ X ”is calculated and displayed on the display 3, and the trace pointer T is displayed on the X-axis intercept of the graph (step T26). ). At this time, when the user operates the “F6” key 26f, the display content on the display 3 is switched to only the graph as shown in FIG.

  Next, when the user performs an operation to enlarge the display range of the coordinate system (step T23; Yes), as shown in FIG. 15A, the image of the designated image file 245S is fixedly displayed, The display range of the XY coordinate system is enlarged at a magnification set corresponding to the enlargement operation, and the display range of the coordinate system (Xmin, Xmax, Ymin, Ymax) in the view window information storage area 121 is reset and displayed. The display range of the coordinate system to be updated is updated (step T24). At this time, the state in which the XY axes are displayed as bold lines and the display mode is changed is maintained. At this time, when the user operates the “F6” key 26f, the display content on the display 3 is switched to only the graph as shown in FIG.

  When the user performs an operation to restore the view window information (step T16; Yes), the image of the designated image file 245S is fixedly displayed on the display 3 as shown in FIG. The contents of the additional data 246 added to the designated image file 245S, that is, the display range of the coordinate system (“Xmin: −0.15”, “Xmax: 6.15”, “Ymin: 0”, “Ymax: 3”) ) And scale intervals “Xscl: 0.5”, “Yscl: 0.5”, and the dot interval “Xdot ′: 0” in the X-axis direction calculated from the contents by the above formulas (1) to (4). .016 ... ”is reset as the view window information, the information in the view window information storage area 121 is updated, and the display range of the coordinate system displayed on the display 3 is updated (step T17).

As described above, according to the present embodiment, as shown in steps T4, T8, T9 in FIG. 7, FIG. 12 and the like, the image file 245 includes an image of an image representing a predetermined shape that can be approximated by a graph. Data 247 and additional data 246 indicating the display range (Xmin, Xmax, Ymin, Ymax) of the XY coordinate axes to be associated with the image of the image data are provided, and any one of the image files 245 is designated as the designated image file 245S. When a graph expression for a graph to be displayed corresponding to a predetermined shape (parabola or straight line) of an image is input based on a user operation, the display range of the XY coordinate axes is set according to the additional data 246 in the specified image file 245S. XY coordinate axes are displayed based on the set display range (Xmin, Xmax, Ymin, Ymax) and are determined by these XY coordinate axes. A graph of a graph type is displayed in the XY coordinate system, and the image of the designated image file 245S is displayed so as to be superimposed on the XY coordinate system. The graph can be matched to
Further, as shown in steps T21 to T24 in FIG. 8, FIG. 14, FIG. 15, and the like, while the image of the designated image file 245S is fixedly displayed, the display range (Xmin, Xmax) of the XY coordinate axes is displayed according to the user operation. , Ymin, Ymax) are moved or enlarged and reset, so that the XY coordinate axes and the graph can be moved or enlarged for display and the shape of the graph can be analyzed.
Then, as shown in step T17 of FIG. 8, FIG. 15C, etc., the display range (Xmin, Xmax, Ymin, Ymax) of the XY coordinate axes is regenerated according to the additional data 246 in the designated image file 245S according to the user operation. Therefore, even when the graph does not match the contents of the image as a result of moving or enlarging the graph with respect to the image, the graph can be matched with a predetermined shape in the image again.
Therefore, it is possible to display the graph superimposed on the image and easily return the position or size of the graph to the image to a predetermined state.

  Further, as shown in steps T12 to T14 of FIG. 6 and FIG. 8, FIG. 13, etc., the X-axis scale interval (Xscl) is set so that the trace pointer T can be moved to the corresponding position of each X-axis scale on the graph. Since the amount of movement (Xt ′) during tracing is set, the coordinate value of the trace pointer T can be surely matched with the scale value. Therefore, an accurate value on the Y axis can be obtained by matching the coordinate value of the trace pointer T with the scale value with respect to the X axis.

  In addition, as shown in steps T22 and T24 of FIG. 8 and FIGS. 14, 15A, 15B, etc., the display range (Xmin, Xmax, Ymin, Ymax) of the XY axes is set by moving or expanding. In such a case, since the display mode of the XY axes is changed, the graph is moved or enlarged with respect to the image, and the user can grasp that the graph no longer matches the content of the image. .

  In addition, it is needless to say that the detailed configuration and detailed operation of each component of the scientific calculator 1 in the above embodiment can be appropriately changed without departing from the gist of the present invention.

  For example, the graph display device according to the present invention has been described as the scientific calculator 1, but those to which the present invention is applicable are not limited to such products, but are mobile phones, personal computers, PDAs (Personal Digital Assistants), game machines It can be applied to all electronic devices. The function graph display program 130 according to the present invention may be stored in a memory card, CD, or the like that can be attached to and detached from the scientific calculator 1.

  Further, although the function graph display process has been described as being performed by the personal computer 200, it may be performed by the scientific calculator 1 by executing the function graph display program 130. Further, the coordinate range display range (Xmin, Xmax, Ymin, Ymax) and the scale interval (Xscl, Yscl) of each coordinate axis are input in the personal computer 200 to display the coordinate system display range (Xmin, Xmax, Ymin, Ymax; Xmin = Xmin ″, Xmax = Xmax ″) is calculated and the additional data 246 is created. However, these may be performed in the scientific calculator 1.

  Further, the scientific calculator 1 has been described as receiving the image file 245 from the personal computer 200 via the communication unit 16, but may be received via the recording medium reading unit 17.

  Moreover, although it has been described that the user designates the image file 245 or inputs a graph expression via the input key group 2 in the processing of steps T1 and T8, it may be input via the touch panel 30.

  In the process of step T9, the image of the image data 243 is displayed on the background, and the coordinate system determined by the XY axes is displayed on the near side of the image. However, as long as the contents of both can be visually recognized, the order of overlapping is described. May be reversed.

  Moreover, although the vertical axis of the coordinate system has been described as the Y axis and the horizontal axis as the X axis, other coordinate axis names may be used. Furthermore, although the coordinate system has been described as an orthogonal coordinate system, other types of coordinate systems such as an oblique coordinate system and a polar coordinate system may be used.

1 Scientific calculator 2 Input key group 3 Display 11 CPU
12 RAM
13 Storage Unit 14 Key Input Unit 15 Display Unit 130 Function Graph Display Program

Claims (5)

Display means capable of setting a coordinate system determined by a plurality of coordinate axes;
Image file storage for storing at least one image file having image data about an image representing a predetermined shape that can be approximated by a graph and additional data indicating a display range of the coordinate system to be associated with the image of the image data Means,
Image file designation means for designating any one of the image files in the image file storage means as a designated image file based on a user operation;
A graph formula input means for inputting a graph formula for a graph to be displayed corresponding to the predetermined shape based on a user operation;
A display range setting means for setting a display range of the coordinate system in accordance with the additional data in the designated image file; and a graph for displaying the graph-type graph on the display means based on the display range set by the display range setting means. Display control means;
Image display control means for displaying the image of the designated image file on the graph displayed by the graph display control means;
A display range movement enlarging means for moving or enlarging the display range of the coordinate system and resetting the display range setting means in response to a user operation while fixing and displaying the image of the designated image file on the display means; ,
Display range return means for resetting the display range of the coordinate system in accordance with the user operation according to the additional data in the designated image file;
A graph display device comprising: The graph display device according to claim 1,
Scale display control means for displaying scales at predetermined scale intervals on predetermined coordinate axes of the plurality of coordinate axes;
While displaying the trace pointer on the graph, the trace pointer is moved on the graph by a predetermined movement amount in the axial direction of the predetermined coordinate axis according to a user operation, and the coordinate value of the trace pointer is displayed on the graph Trace control means to be displayed on the means;
With
The predetermined scale interval and the predetermined movement amount are:
The graph display device, wherein the trace pointer is set so as to be movable to a corresponding position of each scale on the graph. The graph display device according to claim 2,
A display range / scale interval input means for inputting the display range of the coordinate system and the predetermined scale interval based on a user operation;
The display range input by the display range / scale interval input means for the predetermined coordinate axis is corrected so that the trace pointer can be moved to the corresponding position of each scale on the graph, and the image file is used as the additional data. Display range / scale interval correction means to be stored in the storage means;
A graph display device comprising: In the graph display device according to any one of claims 1 to 3,
The graph display control means includes:
Axis to be displayed by changing the display mode of each coordinate axis when the display range of the coordinate system is set by moving or enlarging by the display range movement enlarging means and when the display range is not moved or enlarged A graph display device comprising change display control means. In a computer having a display means capable of setting a coordinate system determined by a plurality of coordinate axes,
Image file storage for storing at least one image file having image data about an image representing a predetermined shape that can be approximated by a graph and additional data indicating a display range of the coordinate system to be associated with the image of the image data Function and
An image file designation function for designating any one of the image files stored by the image file storage function as a designated image file based on a user operation;
A graph expression input function for inputting a graph expression for a graph to be displayed corresponding to the predetermined shape based on a user operation;
A display range setting function for setting the display range of the coordinate system according to the additional data in the designated image file, and a graph for displaying the graph of the graph on the display means based on the display range set by the display range setting function Display control function,
An image display control function for displaying the image of the designated image file on the graph displayed by the graph display control means;
A display range movement enlargement function for causing the display unit to move or enlarge the display range of the coordinate system and reset the display range setting function in response to a user operation while fixing and displaying the image of the designated image file on the display means; ,
A display range return function for resetting the display range of the coordinate system in accordance with the user operation according to the additional data in the designated image file;
A program characterized by realizing.

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