JP2015156219A - Electronic apparatus and program - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide an electronic apparatus which can learn a graph shape represented by an object, an event or the like in an image, in association with a graph expression expressed by real size of the graph shape.

SOLUTION: A scientific calculator 1 comprises: a display 3 for displaying an image; a CPU 11 for detecting a graph figure corresponding to a predetermined graph shape in the image to draw a graph on the graph figure in a superposed manner; and an input unit 14 for specifying an optional line segment in the image as a line segment of a length input target and also inputting length of the line segment of the length input target. The CPU 11 sets origin coordinates in the image according to a position and a shape of the graph, and calculates a display coordinate range which is to be set on the image based on the length of the line segment of the length input target. Also, the CPU 11 calculates a graph expression of the graph based on the display range to display the graph expression on the display 3.

COPYRIGHT: (C)2015,JPO&INPIT

Description

  The present invention relates to an electronic device and a program.

  Conventionally, in an electronic device that displays a captured image, while displaying the captured image of the moving object as a background, the measurement data of the moving object is graphed and drawn, thereby associating the shape of the graph with a physical event. (For example, refer patent document 1).

JP 2003-131665 A

  However, in the conventional technique, a graph is simply drawn by connecting plot points based on measurement data, and the graph shape in the image is associated with a graph expression that represents the graph shape in accordance with the actual size. I can't learn.

  An object of the present invention is to provide an electronic device and a program capable of learning by associating a graph shape represented by an object or an event in an image and a graph expression expressing the graph shape in accordance with an actual size. It is to be.

In order to solve the above-described problem, the invention according to claim 1 is an electronic device.
Display means for displaying an image;
A graph drawing means for detecting a graph figure matching a predetermined graph shape from the image and drawing a graph superimposed on the graph figure;
Length input line segment specifying means for specifying an arbitrary line segment in the image as a length input target line segment based on a user operation;
Based on a user operation, a line segment length input means for inputting a length for the length input target line segment;
Origin setting means for setting an origin of a coordinate system in the image according to the position and shape of the graph;
Display range calculation means for calculating a display range of a coordinate system set to be superimposed on the image based on the length of the line segment of the length input target;
Based on the display range, calculating a graph formula of the graph, and displaying the graph formula on the display means;
It is characterized by providing.

  According to the present invention, it is possible to learn by associating a graph shape represented by an object or an event in an image and a graph expression expressing the graph shape in accordance with the actual size.

It is a top view which shows schematic structure of a scientific calculator. 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 display process. It is a flowchart which shows the flow of an image display process. It is a flowchart which shows the flow of a setting process of an origin position. It is a flowchart which shows the flow of a setting process of the line segment of length setting object. 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. Structure of scientific calculator]
[1-1. Appearance configuration]
FIG. 1 is a conceptual diagram showing a schematic configuration of the scientific calculator 1.
As shown in the figure, 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, and the like.

  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 ratio “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.

Is a key that receives an input operation of a process execution instruction or a determination instruction, and functions as a key for instructing execution of a calculation process after a mathematical expression is input. 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 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 according to 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 Y axis direction and the X axis direction are displayed. The number of dots is “186” and “378”. Further, in the present embodiment, each dot is a square and has the same length in the vertical and horizontal directions. Furthermore, the display 3 in the present embodiment is integrally provided with a touch panel 30 over the entire display screen.

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

  As shown in the figure, the scientific calculator 1 includes an 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 input unit 14 includes the input key group 2 and the touch panel 30 described above, and outputs a signal corresponding to the pressed key or the position of the touch panel 30 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.

The communication unit 16 can be connected to the Internet, thereby enabling communication with an external device connected to the Internet.
The recording medium reading unit 17 reads information from an external information storage medium 17A 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.

  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 an image display program 130 as a program according to the present invention and an image file group 131.

  The image display program 130 is a program for causing the CPU 11 to execute an image display process (see FIGS. 3 to 4) described later.

  The image file group 131 stores a plurality of image files 100 for images that can be displayed on the display 3. These image files 100 are received 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 scientific calculator]
Next, the operation of the scientific calculator 1 will be described with reference to FIGS.
3 to 4 are flowcharts for explaining the operation of the image display process that the CPU 11 reads out and executes the image display program 130 from the storage unit 13.

  As shown in FIG. 3, in the image display process, first, the CPU 11 determines whether or not an operation for reading the image file 100 from the storage unit 13 is performed (step S1), and when it is determined that the operation has been performed (step S1). ; Yes), the image file 100 designated by the user operation is read from the storage unit 13 and displayed on the display 3 as a background image (step S2), and the process proceeds to step S5 described later.

  If it is determined in step S1 that an operation for reading the image file 100 from the storage unit 13 is not performed (step S1; No), the CPU 11 performs an operation for downloading the image file 100 from the Internet. It is determined whether or not it is performed (step S3), and when it is determined that it is not performed (step S3; No), the process proceeds to another process.

  If it is determined in step S3 that an operation to download the image file 100 has been performed (step S3; Yes), the CPU 11 downloads the image file 100 specified by the user operation and stores it in the storage unit 13. While being memorize | stored, it displays on a display 3 as a background image (step S4).

  Next, the CPU 11 determines whether or not an operation for selecting the type of the graph expression is performed (step S5). When it is determined that the operation is performed (step S5; Yes), the graph expression is displayed on the display 3. Are displayed in a list (step S6), and one of the graph expression types is selected based on a user operation (step S7).

  Next, the CPU 11 detects a graph figure that matches the graph type of the selected graph type from the background image displayed on the display 3 (step S8), and then proceeds to step S21 described later.

  Further, when it is determined in step S5 that the operation for selecting the graph type is not performed (step S5; No), the CPU 11 determines whether or not the operation for searching the graph figure is performed. If it is determined (step S11) that it is not performed (step S11; No), the process proceeds to step S24 described later.

  If it is determined in step S11 that an operation to search for a graph figure has been performed (step S11; Yes), the CPU 11 displays the circle, ellipse, and parabola graph figures on the display 3. It detects from a background image (step S12).

  Next, the CPU 11 draws a graph superimposed on each graph figure detected from the background image, and displays the graph expression in the same color as the display color of the graph (step S21).

  Next, the CPU 11 selects one of the graph figures as the selected graph figure based on the user operation, erases the graph and the graph expression of the unselected graph figure from the display 3 (step S22), and then returns to the origin. A position setting process is performed (step S23).

  Specifically, as shown in FIG. 5, in the origin position setting process, the CPU 11 first temporarily sets the center position of the display area on the display 3 to the origin position (step T1), and then the selected graph figure is a circle or It is determined whether it is an ellipse (step T2).

  If it is determined in step T2 that the selected graph figure is a circle or an ellipse (step T2; Yes), the CPU 11 resets the lowest position of the graph figure to the origin position (step T3). The setting process is terminated.

  When it is determined in step T2 that the selected graph figure is not a circle or an ellipse (step T2; No), the CPU 11 determines whether the selected graph figure is a parabola that opens upward or downward among the parabolas. Determine (step T5).

  If it is determined in step T5 that the selected graph graphic is a parabola that opens upward or downward among the parabolas (step T5; Yes), the CPU 11 determines whether or not the selected graph graphic is generally symmetrical. That is, it is determined whether or not it is biased to the left or right side with respect to the vertex (step T6).

  When it is determined in step T6 that the selected graph graphic is substantially symmetric (step T6; Yes), the CPU 11 determines whether the selected graph graphic is open upward (step T7).

  When it is determined in step T7 that the selected graph figure is open upward (step T7; Yes), the CPU 11 resets the vertex position (lowermost position) to the origin position (step T8), The setting process ends.

  Further, when it is determined in step T7 that the selected graph figure is not opened upward, that is, when it is determined that the selected graph figure is opened downward (step T7; No), the CPU 11 determines the X coordinate position of the vertex position (topmost position). Is reset to the X coordinate position of the origin (step T9), the Y coordinate position at the bottom of the selected graph figure is reset to the Y coordinate position of the origin (step T10), and the setting process is terminated.

  When it is determined in step T6 that the selected graph graphic is not substantially symmetrical (step T6; No), the CPU 11 determines whether or not the selected graph graphic is only a part on one side from the apex of the parabola ( If it is determined in step T11) that it is not only on one side (step T11; No), the origin position is set according to the provisional setting in step T1, and the setting process is terminated.

  If it is determined in step T11 that the selected graph figure is only one part from the apex of the parabola (step T11; Yes), the CPU 11 sets the position of the lower left corner in the rectangle surrounding the selected graph figure as the origin. The position is reset (step T12), and the setting process is terminated.

  If it is determined in step T5 that the selected graph figure is not a parabola that opens upward or downward in the parabola (step T5; No), the CPU 11 opens the selected graph figure to the right or left in the parabola. Is determined to be a parabola (step T15), and if it is determined that the parabola is not opened to the right or left (step T15; No), the origin position is set according to the temporary setting in step T1. Then, the setting process ends.

  If it is determined in step T15 that the selected graph figure is a parabola opened to the right or left (step T15; Yes), the CPU 11 resets the vertex position of the selected graph figure to the origin position (step T16). The setting process is terminated.

Through the above steps T2 to T16, the origin of the coordinate system is set in the image (in the display area) in accordance with the position and shape of the selected graph figure (graph drawn on the display 3).
When the origin position setting process is completed, as shown in FIG. 3, the CPU 11 next determines whether or not an operation for correcting the origin position is performed (step S24), and determines that it has been performed. In the case (step S24; Yes), the origin is displayed at the origin position set at the present time (step S25).

  Next, the CPU 11 determines whether or not the selected graph figure is a circle or an ellipse (step S26). If it is determined that the selected graph figure is a circle or an ellipse (step S26; Yes), the origin position setting menu is displayed. It is displayed (step S27). Here, as the setting menu displayed in this step S27, the following three are used: "OK at current position", "Set to circle center", and "Change to user specified position". . When the menu “OK at current position” is selected, the origin position set at the present time is maintained without being changed. When the menu “set to circle center” is selected, the center position of the selected graph figure (circle or ellipse) is set to the origin position. When the menu “change to user designated position” is selected, the designated position based on the user operation is set as the origin position.

  Next, the CPU 11 resets the origin position according to the menu selected by the user (step S28), and proceeds to the above-described step S24.

  If it is determined in step S26 that the selected graph figure is not a circle or an ellipse (step S26; No), the CPU 11 displays an origin position setting menu (step S29), and proceeds to the above-described step S28. Here, as the setting menu displayed in this step S29, the following three are used: "OK at current position", "Set to vertex of figure", and "Change to user specified position". . Then, when the menu “set to graphic vertex position” is selected, the vertex position of the selected graph graphic (parabola) is set to the origin position.

  If it is determined in step S24 that the operation for correcting the origin position is not performed (step S24; No), as shown in FIG. 4, the CPU 11 adds a long line segment to the background image. It is determined whether or not an operation for setting the length is performed (step S31). When it is determined that the operation is not performed (step S31; No), the process proceeds to another process.

  If it is determined in step S31 that an operation for setting the length of the line segment in the background image has been performed (step S31; Yes), the CPU 11 performs the process for setting the line segment for length setting. It performs (step S32).

  Specifically, as shown in FIG. 6, in this length setting target line segment setting process, the CPU 11 first converts a line segment from the origin to one scale in the positive direction of the X axis into a length setting target line. Temporarily set as minutes (step U1). Note that the interval between the scales on the X axis is set by default.

  Next, the CPU 11 determines whether or not the selected graph figure is a circle or an ellipse (step U2). If it is determined that the selected graph figure is a circle or an ellipse (step U2; Yes), the lowermost part from the center of the circle is displayed. The line segment up to is reset as the length setting target line segment (step U3), and the setting process is terminated.

  If it is determined in step U2 that the selected graph graphic is not a circle or an ellipse (step U2; No), the CPU 11 determines whether the selected graph graphic is a parabola that opens upward or downward among the parabolas. Determine (step U5).

  If it is determined in step U5 that the selected graph figure is not a parabola that opens upward or downward among the parabolas (step U5; No), the CPU 11 sets the length setting target as the temporary setting in step U1. Set the line and finish the setting process.

  If it is determined in step U5 that the selected graph figure is a parabola that opens upward or downward among the parabolas (step U5; Yes), the CPU 11 determines whether or not the selected graph figure is generally symmetrical. Is determined (step U6).

  When it is determined in step U6 that the selected graph graphic is substantially symmetric (step U6; Yes), the CPU 11 sets the upper side of the rectangle surrounding the selected graph graphic as a line segment for length setting. It corrects (step U7) and ends the setting process.

  When it is determined in step U6 that the selected graph graphic is not substantially symmetrical (step U6; No), the CPU 11 determines whether the selected graph graphic is only a part on one side from the apex of the parabola ( If it is determined in step U8) that it is not only on one side (step U8; No), the length setting target line segment is set as in the temporary setting in step U1, and the setting process ends.

  When it is determined in step U8 that the selected graph figure is only one part from the apex of the parabola (step U8; Yes), the CPU 11 sets the left side of the rectangle surrounding the selected graph figure as the length setting target. The line segment is reset (step U9), and the setting process is terminated.

  When the above length setting target line segment setting process is completed, as shown in FIG. 4, the CPU 11 next determines whether or not an operation for correcting the setting target line segment is performed (step S <b> 4). If it is determined that the process is not performed (step S33; No), the process proceeds to step S36 described later.

  If it is determined in step S33 that an operation for correcting the line segment to be set has been performed (step S33; Yes), the CPU 11 selects an arbitrary line segment in the background image based on the user operation. The line is again set to the length setting target (step S35).

  Next, when the length of the line segment to be length-set is input by the user (step S36), the CPU 11 divides the input numerical value by the number of dots of the line segment to obtain the length per dot. (Ld) is calculated (step S37).

Next, the CPU 11 calculates the display range of the XY coordinate system from the following formula (step S38). In the equation, Xd0 is the dot position of the origin in the X-axis direction (number of dots from the left end of the display area), and Yd0 is the dot position of the origin in the Y-axis direction (dots from the lower end of the display area) Number).
Xmin = −Xd0 × Ld
Xmax = (total number of dots in the X direction−Xd0) × Ld
Ymin = −Yd0 × Ld
Ymax = (total number of dots in Y direction−Yd0) × Ld

  Next, after setting the calculated display range in the display area of the display 3 (step S41), the CPU 11 calculates the graph expression of the selected graph figure by the least square method based on this display range, and displays the calculation result on the display. 3 is displayed (step S42).

  Next, the CPU 11 determines whether or not an operation for calculating the length of the line segment in the background image is performed (step S51).

  When it is determined in step S51 that the operation for calculating the length has been performed (step S51; Yes), the CPU 11 selects an arbitrary line segment in the background image as a length calculation target based on the user operation. It is designated as a line segment (step S52), and the number of dots of the designated line segment is multiplied by the length per dot (Ld = the number of dots of the line segment for length setting / the length of the line segment). After calculating the length of the designated line segment (step S53) and displaying the calculated length on the display 3 (step S54), the process proceeds to the above-described step S51.

  When it is determined in step S51 that the operation for calculating the length is not performed (step S51; No), the CPU 11 determines whether or not the operation for executing the trace of the selected graph figure is performed. Is determined (step S55), and if it is determined not to be performed (step S55; No), the process proceeds to another process.

  Further, when it is determined in step S55 that an operation for executing tracing of the selected graph figure has been performed (step S55; Yes), the CPU 11 displays the graph expression of the selected graph figure and displays the selected graph figure on the selected graph figure. A trace cursor T (see FIG. 9B, etc.) is displayed at a predetermined point (for example, the origin), and the coordinates of the trace cursor T are displayed (step S56).

  Next, the CPU 11 moves the trace cursor T on the selected graph figure according to the cursor operation by the user, and displays the coordinates of the trace cursor T after the movement (step S57).

  Then, the CPU 11 determines whether or not an operation for returning to the process before the trace execution is performed (step S58), and when it is determined that the operation is not performed (step S58; No), the process proceeds to the above-described step S57. On the other hand, if it is determined that the process has been performed (step S58; Yes), the process proceeds to step S51 described above.

[3. Example of operation]
Subsequently, the above-described operation will be specifically described with reference to the drawings.

(Operation example (1))
First, when the user performs an operation to read the image file 100 from the storage unit 13 (step S1; Yes) and designates the image file 100, the designated image file 100 is stored as shown in FIG. It is read from the unit 13 and displayed as a background image on the display 3 (step S2). In this operation example, a photographed image of the arch bridge over the river is displayed as a background image.

  Next, when the user performs an operation for selecting the type of the graph expression (step S5; Yes), as shown in FIG. 7B, the type of the graph expression (general expression and graph shape) is displayed. 3 is displayed as a list (step S6).

  Next, when the user selects the graph type of “Y = A (X−H) 2 + K” (upper opening, lower opening parabola) (step S7), as shown in FIGS. 7 (c) and 7 (d). In addition, a graph figure (in this case, two arch portions in the arch bridge) that matches the graph type of the selected graph type is detected from the background image (step S8), and is superimposed on each detected graph figure. Is drawn and the graph expression is displayed in the same color as the display color of the graph (step S21). In FIG. 7D, the graph superimposed on the upper arch portion and the upper graph expression “Y = A (X−H) 2 + K” are displayed in blue, and the lower arch portion is displayed on the lower arch portion. The superimposed graph and the lower graph expression “Y = A (X−H) 2 + K” are displayed in red.

  Next, when the user selects the upper arch-shaped graph graphic as the selected graph graphic, as shown in FIG. 7E, the lower graph graphic and the graph formula are deleted from the display 3 (step S22). ).

  Next, it is determined that the selected graph figure is a parabola that opens upward or downward in the parabola (step T5; Yes), is generally symmetrical (step T6; Yes), and is not open upward (step T7; No). The X coordinate position of the vertex position (top position) is set as the X coordinate position of the origin (step T9), and the lowest Y coordinate position of the selected graph figure is set as the Y coordinate position of the origin (step T10). ). In FIG. 7E, for the sake of convenience, a black dot is illustrated at the origin position set at this time (refer to the approximate center in the figure).

  Next, after the user performs an operation for setting the length of the line segment in the background image (step S31; Yes), and performs an operation for correcting the line segment to be set (step S33; Yes). As shown in FIG. 7 (f), the line segment from the origin position to the vertex of the graph figure in the background image, that is, the line segment corresponding to the height of the arch portion is reset as the line segment for length setting. Step S35).

  Next, as shown in FIGS. 8A and 8B, when the user inputs the length “30” of the length setting target line segment based on the actual height of the arch bridge in the image ( In step S36), the length (Ld = 0.667...) Per dot is calculated by dividing the input numerical value “30” by the number of dots of the line segment (here, “45”) (step S37). ), The display range of the XY coordinate system (Xmin = −126, Xmax = 126, Ymin = −80, Ymax = 44) is calculated (step S38).

  Then, after the calculated display range is set in the display area of the display 3 (step S41), the graph expression of the selected graph figure is calculated by the least square method based on this display range, and is shown in FIG. 8 (c). Thus, the calculation result “Y = −0.002 × 2 + 30” is displayed on the display 3 (step S42).

  Next, as shown in FIGS. 8D and 8E, the user performs an operation to calculate the length of the line segment in the background image (step S51; Yes), and the line segment corresponding to the bridge length. Is designated as the length calculation target line segment (step S52), as shown in FIGS. 8 (f) and 9 (a), the length per dot (Ld = 0. 667...), The length “220” of the designated line segment is calculated and displayed (steps S53, S54).

  Next, when the user performs an operation to execute tracing of the selected graph figure (step S55; Yes), as shown in FIG. 9B, tracing is performed to a predetermined point (here, a vertex) on the selected graph figure. The cursor T is displayed, and the coordinates “X = 0, Y = 30” of the trace cursor T are displayed (step S56).

  Next, when the user performs a cursor operation to move the trace cursor T on the selected graph figure, the coordinates of the trace cursor T after the movement are displayed as shown in FIGS. Step S57).

(Operation example (2))
First, when the user performs an operation of reading the image file 100 from the storage unit 13 (step S1; Yes) and designates the image file 100, the designated image file 100 is stored as shown in FIG. It is read from the unit 13 and displayed as a background image on the display 3 (step S2). In this operation example, a photographed image of a merlion that blows water in a parabolic shape and a ferris wheel is displayed as a background image.

  Next, when the user performs an operation for searching the graph figure (step S11; Yes), each of the circle, ellipse, and parabola graph figures is detected from the background image (step S12), as shown in FIG. 10B. As described above, a graph is drawn on each detected graph figure, and the graph expression is displayed in the same color as the display color of the graph (step S21). In addition, in FIG.10 (b), the graph overlaid on the parabola part of the water spouted from Merlion, and the upper graph type | formula "Y = A (XH) 2 + K" are displayed in blue. The graph superimposed on the circular part of the ferris wheel and the lower graph expression “(X−H) 2+ (Y−K) 2 = R2” are displayed in red.

  Next, when the user selects a circular graph as a selected graph, the parabolic graph and the graph formula are deleted from the display 3 as shown in FIG. 10C (step S22).

  Next, it is determined that the selected graph figure is a circle or an ellipse (step T2; Yes), and the lowest position of the graph figure is set as the origin position (step T3).

  Next, when the user performs an operation to correct the origin position (step S24; Yes), as shown in FIG. 10D, the origin position set at the present time (the lowermost position of the graph figure). The origin is displayed at (step S25).

  Next, it is determined that the selected graph figure is a circle or an ellipse (step S26; Yes), and the origin position setting menus “OK at current position”, “Set to center of circle”, and “Change to user specified position” are displayed. It is displayed (step S27). When the user selects “OK at current position”, the origin position is maintained without being changed (step S28).

  Next, after the user performs an operation for setting the length of the line segment in the background image (step S31; Yes), and performs an operation for correcting the line segment to be set (step S33; Yes). As shown in FIG. 11A, a line segment from the origin position in the background image to the center of the graph figure (circle), that is, a line segment corresponding to the radius of the ferris wheel is set as the length setting target line segment. Correct (step S35).

  Next, as shown in FIG. 11 (b), when the user inputs the length “80” of the segment to be set based on the actual radius of the Ferris wheel in the image (step S36), the input By dividing the numerical value “80” by the number of dots of the line segment (here, “30”), the length (Ld = 2.667...) Per dot is calculated (step S37), and the XY coordinate system (Xmin = −800, Xmax = 208, Ymin = −160, Ymax = 336) is calculated (step S38).

  Then, after the calculated display range is set in the display area of the display 3 (step S41), the graph expression of the selected graph figure is calculated by the least square method based on this display range, and is shown in FIG. 11 (c). Thus, the calculation result “X2 + (Y−80) 2 = 6400” is displayed on the display 3 (step S42).

  Next, when the user performs an operation to execute tracing of the selected graph figure (step S55; Yes), as shown in FIG. 11D, the trace cursor T is displayed at a predetermined point on the selected graph figure. At the same time, the coordinates “X = 80, Y = 80” of the trace cursor T are displayed (step S56).

  When the user selects a parabola-shaped graph figure as the selected graph figure from the state shown in FIG. 10B, a circular graph and a graph expression are displayed on the display 3 as shown in FIG. (Step S22).

  Next, the selected graph figure is a parabola that opens upward or downward among the parabolas (step T5; Yes), is not substantially symmetrical (step T6; No), and is only a portion on one side from the apex of the parabola. The determination is made (step T11; Yes), and the position of the lower left corner of the rectangle surrounding the selected graph figure is set as the origin position (step T12). In FIG. 12A, for the sake of convenience, a black dot is illustrated at the origin position set at this time (see the lower left in the figure).

  Next, after the user performs an operation for setting the length of the line segment in the background image (step S31; Yes), and performs an operation for correcting the line segment to be set (step S33; Yes). As shown in FIG. 12B, the line segment from the origin position in the background image to the upper end of the graph figure, that is, the line segment corresponding to the height of the parabola portion is reset to the length setting target line segment ( Step S35).

  Next, as shown in FIG. 12C, when the user inputs the length “8” of the line segment to be set based on the actual height of the parabola in the image (step S36), the input By dividing the numerical value “8” by the number of dots of the line segment (here, “90”), the length (Ld = 0.0889) per dot is calculated (step S37), and the XY coordinate system The display range (Xmin = −7.8, Xmax = 25.6, Ymin = −2.2, Ymax = 14.3) is calculated (step S38).

  Then, after the calculated display range is set in the display area of the display 3 (step S41), the graph expression of the selected graph figure is calculated by the least square method based on this display range, and is shown in FIG. 12 (d). As described above, the calculation result “Y = −0.03X2 + 11” is displayed on the display 3 (step S42).

  Next, when the user performs an operation to execute tracing of the selected graph figure (step S55; Yes), as shown in FIG. 12E, the trace cursor T is displayed at a predetermined point on the selected graph figure. At the same time, the coordinates “X = 0, Y = 11” of the trace cursor T are displayed (step S56).

  Next, when the user performs a cursor operation to move the trace cursor T on the selected graph graphic, the coordinates of the trace cursor T after the movement are displayed as shown in FIG. 12 (f) (step S57).

  As described above, according to the scientific calculator 1 of the present embodiment, it is shown in steps S8, S12, S21 to S23, S32 to S42 of FIG. 3, FIGS. 7 to 8 (c), FIGS. As described above, a graph figure that matches a predetermined graph shape is detected from the image, and a graph is drawn on the graph figure, and the origin of the coordinate system is set in the image according to the position and shape of the graph. When an arbitrary line segment in the image is specified as the length input target line segment and the length is input based on the user's operation, it is set to overlap the image based on the input length The display range of the coordinate system to be calculated is calculated, and the graph formula is calculated and displayed based on this display range, so that the graph shape represented by the object or event in the image and the graph shape are realized. It is related to the graph expression expressed according to the size. Put in can be learned.

  Also, as shown in steps S52 to S54 in FIG. 4, FIG. 8D to FIG. 9A, etc., any line segment in the image is set as a length calculation target line segment based on a user operation. When specified, the length of the length calculation target line segment is calculated and displayed based on the length of the length input target line segment, which helps to understand the graph expression and enhance the learning effect. it can.

  Further, as shown in steps S21 to S22 of FIG. 3, FIG. 7D, FIG. 10B, etc., a plurality of graph figures matching a predetermined graph shape are detected from the image, and the detected plurality of graph figures are detected. If one of the graph figures is selected based on the user operation, the graph is drawn over the selected graph figure, so even if there are multiple graph figures in the image Then, it is possible to draw a graph for a desired graph figure, and learn by associating the graph shape with the graph expression. Furthermore, as shown in FIGS. 10 to 12, when two types of perspective objects exist in the captured image, the graph shape and the graph expressing the graph shape in accordance with the actual size for each subject. You can learn by associating with an expression.

  Further, as shown in steps S6 to S8 of FIG. 3 and FIGS. 7B to 7D, when a graph shape type is selected based on a user operation, a graph that matches the selected graph shape. Since the figure is detected from the image, it is possible to learn by associating a desired graph shape with a graph expression.

  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 image display device according to the present invention has been described as a scientific calculator or the like, 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 image display program 130 according to the present invention may be stored in a memory card, a CD, or the like that can be attached to and detached from the scientific calculator 1.

  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.

As mentioned above, although several embodiment of this invention was described, the scope of the present invention is not limited to the above-mentioned embodiment, The range of the invention described in the claim, and its equivalent range Including.
The invention described in the scope of claims attached to the application of this application will be added below. The item numbers of the claims described in the appendix are as set forth in the claims attached to the application of this application.
[Appendix]
<Claim 1>
Display means for displaying an image;
A graph drawing means for detecting a graph figure matching a predetermined graph shape from the image and drawing a graph superimposed on the graph figure;
Length input line segment specifying means for specifying an arbitrary line segment in the image as a length input target line segment based on a user operation;
Based on a user operation, a line segment length input means for inputting a length for the length input target line segment;
Origin setting means for setting an origin of a coordinate system in the image according to the position and shape of the graph;
Display range calculation means for calculating a display range of a coordinate system set to be superimposed on the image based on the length of the line segment of the length input target;
Based on the display range, calculating a graph formula of the graph, and displaying the graph formula on the display means;
An electronic device comprising:
<Claim 2>
The electronic device according to claim 1,
Length calculation line segment designation means for designating an arbitrary line segment in the image as a length calculation target line segment based on a user operation;
A line segment length calculation means for calculating and displaying the length of the length calculation target line segment based on the length of the length input target line segment;
An electronic device comprising:
<Claim 3>
The electronic device according to claim 1 or 2,
The graph drawing means includes:
A graph graphic detection means for detecting a plurality of graph graphics matching a predetermined graph shape from the image;
A graph figure selecting means for selecting any graph figure from a plurality of graph figures detected by the graph figure detecting means based on a user operation;
A selected figure graph drawing means for drawing a graph superimposed on the graph figure selected by the graph figure selection means;
An electronic device comprising:
<Claim 4>
In the electronic device as described in any one of Claims 1-3,
The graph drawing means includes:
A graph shape selecting means for selecting a graph shape type based on a user operation;
A selected shape graph graphic detecting means for detecting a graph graphic matching the graph shape selected by the graph shape selecting means from the image;
An electronic device comprising:
<Claim 5>
In a computer having display means for displaying an image,
A graph drawing function for detecting a graph figure matching a predetermined graph shape from the image, and drawing a graph superimposed on the graph figure;
A length input line segment designation function for designating an arbitrary line segment in the image as a length input target line segment based on a user operation;
Based on a user operation, a line segment length input function for inputting a length for the length input target line segment;
An origin setting function for setting the origin of a coordinate system in the image according to the position and shape of the graph;
A display range calculation function for calculating a display range of a coordinate system set to be superimposed on the image, based on the length of the length-input target line segment;
Based on the display range, a graph formula calculation function for calculating the graph formula of the graph and displaying the graph formula on the display means;
A program characterized by realizing.

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

In order to solve the above-described problem, the invention according to claim 1 is an electronic device.
Display means for displaying an image;
A graph drawing unit for drawing a graph superimposed on the image picture,
Length input line segment specifying means for specifying an arbitrary line segment in the image as a length input target line segment based on a user operation;
Based on a user operation, a line segment length input means for inputting a length for the length input target line segment;
Origin setting means for setting an origin of a coordinate system in the image according to the position and shape of the graph;
Display range calculation means for calculating a display range of a coordinate system set to be superimposed on the image based on the length of the line segment of the length input target;
Based on the display range, calculating a graph formula of the graph, and displaying the graph formula on the display means;
It is characterized by providing.

Claims (5)

Display means for displaying an image;
A graph drawing means for detecting a graph figure matching a predetermined graph shape from the image and drawing a graph superimposed on the graph figure;
Length input line segment specifying means for specifying an arbitrary line segment in the image as a length input target line segment based on a user operation;
Based on a user operation, a line segment length input means for inputting a length for the length input target line segment;
Origin setting means for setting an origin of a coordinate system in the image according to the position and shape of the graph;
Display range calculation means for calculating a display range of a coordinate system set to be superimposed on the image based on the length of the line segment of the length input target;
Based on the display range, calculating a graph formula of the graph, and displaying the graph formula on the display means;
An electronic device comprising: The electronic device according to claim 1,
Length calculation line segment designation means for designating an arbitrary line segment in the image as a length calculation target line segment based on a user operation;
A line segment length calculation means for calculating and displaying the length of the length calculation target line segment based on the length of the length input target line segment;
An electronic device comprising: The electronic device according to claim 1 or 2,
The graph drawing means includes:
A graph graphic detection means for detecting a plurality of graph graphics matching a predetermined graph shape from the image;
Graph graphic identification display means for identifying and displaying the detected plurality of graph figures by drawing a graph superimposed on the plurality of graph figures detected by the graph figure detection means;
A graph figure selecting means for selecting any graph figure from a plurality of graph figures identified and displayed by the graph figure identification display means, based on a user operation;
A non-selected graph erasing unit for erasing a graph drawn on top of a graph figure other than the graph figure selected by the graph figure selecting unit;
An electronic device comprising: The electronic device according to claim 1 or 2,
The graph drawing means includes:
A graph shape selecting means for selecting a graph shape type based on a user operation;
A selected shape graph graphic detecting means for detecting a graph graphic matching the graph shape selected by the graph shape selecting means from the image;
A selected shape graph drawing means for drawing a graph superimposed on the graph figure detected by the selected shape graph figure detecting means;
An electronic device comprising: In a computer having display means for displaying an image,
A graph drawing function for detecting a graph figure matching a predetermined graph shape from the image, and drawing a graph superimposed on the graph figure;
A length input line segment designation function for designating an arbitrary line segment in the image as a length input target line segment based on a user operation;
Based on a user operation, a line segment length input function for inputting a length for the length input target line segment;
An origin setting function for setting the origin of a coordinate system in the image according to the position and shape of the graph;
A display range calculation function for calculating a display range of a coordinate system set to be superimposed on the image, based on the length of the length-input target line segment;
Based on the display range, a graph formula calculation function for calculating the graph formula of the graph and displaying the graph formula on the display means;
A program characterized by realizing.

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