JP5810717B2 - Graph function display device and program - Google Patents

Description

  The present invention relates to, for example, a graph function display device for learning by representing a trajectory of a moving object included in a photographed image in a graph and a control program thereof.

  2. Description of the Related Art Electronic calculators, which are graph scientific calculators that display arbitrary function expressions in a graph, are widely used.

  In a conventional graph scientific calculator, when image data of a moving object and measurement data of the trajectory of the moving object are input, a graph corresponding to the measurement data is drawn and the measurement data and image data corresponding to the drawn graph are arranged side by side. By displaying the graph, it is conceivable to visualize the graph in association with the actual phenomenon (see, for example, Patent Document 1).

JP 2003-131655 A

  According to the conventional graph scientific calculator, it is conceivable to display a graph corresponding to the moving object trajectory on the image data of the moving object trajectory.

  In this case, although it is possible to learn a conceptual graph by adding virtual scales of appropriate values at regular intervals to the image data on which the graphs are superimposed, the actual coordinates based on the actual measurement values etc. can be easily linked. You cannot learn graphs.

  The present invention has been made in view of such problems. When a graph corresponding to an image of a moving object is displayed in an overlapping manner, a graph corresponding to a conceptual scale and a graph corresponding to a realistic scale can be easily obtained. An object of the present invention is to provide a graph function display device and a control program for the same that can be learned in cooperation with each other.

The graph function display device according to the present invention relates to a reference scale with respect to a coordinate axis of a moving direction of a moving object corresponding to a position of the moving object included in the continuous shooting interval for a composite image of a plurality of continuously shot images. a reference scale setting means for setting a, the measured value obtaining means for obtaining a measured value corresponding to the shooting distance, the displays the synthesis image on the display unit, included to overlap the composite image in the composite image Graph image composition display means for displaying a graph corresponding to the trajectory of movement of the moving object, and coordinates corresponding to the reference scale set by the reference scale setting means for the coordinate values related to the graph displayed by the graph image composition display means Reference coordinate value display means for displaying values, and coordinate values corresponding to the reference scale displayed by the reference coordinate value display means are acquired by the actual measurement value acquisition means. The measured coordinate value display means for displaying in terms of coordinate values on the basis of the measured values,
The reference scale setting means sets the reference scale for the coordinate axis in the moving direction of the moving object to the interval when it is determined that the positions of the moving objects are substantially equal intervals. Yes.

  According to the present invention, when a graph corresponding to an image of a moving object is overlaid and displayed, a graph corresponding to a conceptual scale and a graph corresponding to a realistic scale can be easily linked and learned. The graph function display device and its control program can be provided.

The top view which shows the external appearance structure of the graph scientific calculator 10 which concerns on embodiment of the graph function display apparatus of this invention. FIG. 2 is a block diagram showing a configuration of an electronic circuit of the graph scientific calculator 10. The figure which shows the content of the image & coordinate range file memorize | stored in the image & coordinate range file storage part 22d of the said graph scientific calculator 10. FIG. The block diagram which shows the structure of the electronic circuit of external PC30 which has the production | generation function of the image & coordinate range file memorize | stored in the image & coordinate range file storage part 22d of the said graph scientific calculator 10. FIG. 5 is a flowchart showing image coordinate range setting processing by the external PC. The figure which shows the specific example of the display operation accompanying the image coordinate range setting process of the said external PC30. 5 is a flowchart showing graph function display processing by the graph scientific calculator 10. The figure which shows the specific example (the 1) of the display operation accompanying the graph function display process by the said graph scientific calculator 10. FIG. The figure which shows the specific example (the 2) of the display operation accompanying the graph function display process by the said graph scientific calculator 10. FIG. The figure which shows the specific example (the 3) of the display operation accompanying the graph function display process by the said graph scientific calculator 10. FIG. The pattern of the rectangular cutout region CP for the moving object composite image Gbas in the image coordinate range setting process, the parallel display operation of the XY graph versus the TX graph in the graph function display process, and the XY The figure which shows the specific example with the parallel display operation | movement of a graph vs. TY graph.

  Embodiments of the present invention will be described below with reference to the drawings.

  FIG. 1 is a plan view showing an external configuration of a graph scientific calculator 10 according to an embodiment of a graph function display device of the present invention.

  The graph scientific calculator 10 has a small size that allows a user to hold it with one hand and operate with one hand because of its portability. A key input unit 11 and a color display unit 16 are provided on the front side of the main body of the graph scientific calculator 10. Provided.

  The key input unit 11 includes a number / arithmetic symbol key group 12 for inputting numbers and mathematical expressions and instructing execution of a calculation, a function function key group 13 for inputting various functions, and various operation modes. A mode setting key group 14 for displaying a menu screen or instructing setting of an operation mode, a cursor key 15 for performing a cursor moving operation or a data item selecting operation displayed on the color display unit 16, and the like. Function keys “F1” to “F6” for selectively specifying various functions printed on the key panel or displayed on the menu along the lower end of the color display unit 16 are provided.

  The numeric / arithmetic symbol key group 12 includes “0” to “9” (numeric) keys, “+”, “−”, “×”, “÷” (arithmetic symbol) keys 12 a, and “EXE” (execution) keys 12 b. , “AC” (clear) key 12c and the like are arranged.

  As the function function key group 13, a “log” (logarithmic) key, a “sin” (sign) key, an “ab / c” (fractional) key, and the like are arranged.

  As the mode setting key group 14, a “MENU” key, a “SHIFT” key, an “OPTN” key, an “EXIT” key, and the like are arranged.

  Note that characters, symbols, functions, and functions that can be entered are printed on the key panel along the upper edge of each key, which corresponds to the “SHIFT” key in the mode setting key group 14. Can be entered in combination with each key.

  For example, the “F6” (function) key functions as a “G ← → T” key in combination with the “SHIFT” key, and displays a graph list screen Gt (see FIG. 9F) and a graph image composition screen. Switching to Gy1 / Gbas (see FIG. 9G) can be instructed.

  The “MENU” key functions as a “SET UP” key in combination with the “SHIFT” key, and can be switched to the graph display setting screen Gset (see FIG. 8A). .

  The color display unit 16 includes a dot matrix type color liquid crystal display unit, and a transparent tablet touch panel 16T for detecting a touch position on the screen is provided on the display screen.

  The graph scientific calculator 10 is a graph image composition screen Gy1 in which a graph corresponding to a moving object trajectory according to a coordinate range set based on an imaging interval is overlapped with a composite image acquired by continuous shooting of a moving object as a background. / Gbas is displayed on the color display unit 16. A function for identifying and displaying the reference coordinate range set based on the continuous shooting interval and the actual coordinate range converted based on the actual measurement value with different display colors on the graph image composition screen Gy1 / Gbas. Have

  FIG. 2 is a block diagram showing the configuration of the electronic circuit of the graph scientific calculator 10.

  The graph scientific calculator 10 includes a processor (CPU) 21 that is a computer.

  The processor (CPU) 21 reads the graph function display processing program 22a stored in the storage unit (flash ROM) 22 in advance or an external recording medium 23 such as a memory card into the storage unit 22 via the recording medium reading unit 24. The graph function display processing program 22a or the graph function display processing program downloaded from the Web server (program server) on the communication network such as the Internet via the external PC 30 and read by the PC communication unit 25 The operation of each part of the circuit is controlled according to 22a. The graph function display processing program 22a stored in the storage unit 22 is activated in response to a key input signal from the key input unit 11 or a touch position detection signal from the touch panel 16T.

  The processor (CPU) 21 is connected to the storage unit 22, the recording medium reading unit 24, the PC communication unit 25, the key input unit 11, the color display unit (LCD) 16, and the touch panel 16T.

  The graph function display processing program 22a stored in the storage unit (flash ROM) 22 includes an arithmetic processing program for executing arithmetic processing according to an arbitrary arithmetic expression input by the user through the key input unit 11, and the same user. A graph drawing processing program for executing a graph drawing process according to an arbitrary function expression inputted, according to a reference coordinate range set based on a moving object trajectory in a continuously taken composite image and a continuous shooting interval. A moving body analysis graph display processing program for displaying the relationship with the graph as a reference coordinate value or an actual measurement coordinate value is stored.

  The storage unit 22 further includes a graph data storage unit 22b, a V-Window setting value storage unit 22c, an image & coordinate range file storage unit 22d, and a work area 22e.

  The graph formula data storage unit 22b stores data of graph formulas Y1, Y2,... Calculated based on graph formulas input according to user operations and image analysis.

  The V-Window set value storage unit 22c stores a coordinate range (Xmin to Xmax, Ymin to Ymax) and a scale value for displaying a graph on the color display unit 16.

  The image & coordinate range file storage unit 22d receives and stores an image & coordinate range file generated by an external PC 30 described later.

  FIG. 3 is a diagram showing the contents of the image & coordinate range file stored in the image & coordinate range file storage unit 22d of the graph scientific calculator 10.

  In this image & coordinate range file, continuous shooting or single shooting image data (a combined image in the case of continuous shooting images), continuous shooting time interval Δt, and a fixed object based on a moving body image included in the image data. Reference X coordinate range XSmin to XSmax and Y coordinate range YSmin to YSmax corresponding to the XY coordinate of the interval, X scale value and Y scale value added to the reference XY coordinate range, measured value per scale, reference A coordinate list corresponding to the position of the moving object image analyzed according to the XY coordinate range is stored in association with the file name.

  In the graph scientific calculator 10 configured as described above, the processor (CPU) 21 controls the operation of each part of the circuit in accordance with the instructions described in the graph function display processing program 22a, and the software and hardware cooperate. By operating, the functions described in the description of the operation described later are realized.

  In the present embodiment, the image & coordinate range file stored in the image & coordinate range file storage unit 22d is generated by analyzing the image data taken by a digital camera (not shown) by the external PC 30, and then the graph scientific calculator 10. The graph coordinate calculator 10 executes an image coordinate range setting process (see FIG. 5) described later on the external PC 30 to generate and store the image & coordinate range file in the calculator 10. May be.

  Alternatively, the emulator of the graph scientific calculator 10 may be mounted on the external PC 30, and the image & coordinate range file generated by the external PC 30 may be taken into the emulator on the external PC 30 and executed. As a result, the graph image finally displayed on the graph scientific calculator on the external PC can be immediately confirmed on the external PC 30.

  FIG. 4 is a block diagram showing a configuration of an electronic circuit of the external PC 30 having a function of generating an image & coordinate range file stored in the image & coordinate range file storage unit 22d of the graph scientific calculator 10.

  The external PC 30 includes a processor (CPU) 31 that is a computer.

  The processor (CPU) 31 is read into the storage unit 32 via the recording medium reading unit 34 from a PC control program stored in advance in the storage unit (flash ROM) 32 or an external recording medium 33 such as a CD-ROM. The operation of each part of the circuit is controlled in accordance with a PC control program downloaded from the Web device (program server) on the communication network such as the PC control program or the Internet by the external device communication unit 35 and read into the storage unit 32. The PC control program stored in the storage unit 32 is activated in response to a key input signal from the key input unit 36.

  The processor (CPU) 31 is connected to the storage unit 32, the recording medium reading unit 34, the external device communication unit 35, the key input unit 36, and a color display unit (LCD) 37.

  As the PC control program stored in the storage unit (flash ROM) 32, in addition to various application programs such as a Web browser program and an image processing program, for example, the image is based on a composite image of continuously shot image data. The image coordinate range setting processing program 32a for generating the & coordinate range file (22d) (see FIG. 3) is stored.

  The storage unit 32 further includes a display data storage unit 32b, an image file storage unit 32c, a moving object coordinate list storage unit 32d, a coordinate range reference value storage unit 32e, an image & coordinate range file storage unit 32f, and a work piece. An area 32g is provided.

  In the display data storage unit 32b, display data to be displayed on the color display unit 37 is stored as bitmap format data.

  In the image file storage unit 32c, for example, a plurality of sets of image data obtained by continuously shooting moving objects with a digital camera (not shown) are stored in association with the file names A, B,.

  The moving object coordinate list storage unit 32d corresponds to the moving object analyzed in accordance with a reference XY coordinate range based on a composite image of continuous shot images selectively read from the image file storage unit 32c. An xy coordinate list is generated and stored.

  The coordinate range reference value storage unit 32e has a fixed interval generated based on the moving body image included in the composite image in the composite image of the continuous shot images selectively read from the image file storage unit 32c. An X coordinate range and a Y coordinate range corresponding to the reference coordinates are stored.

  In the image & coordinate range file storage unit 32f, an image & coordinate range file (22d) generated based on the composite image of the continuous shot images selectively read from the image file storage unit 32c (FIG. 3). Reference) is stored.

  In the external PC 30 configured as described above, the processor (CPU) 31 controls the operation of each part of the circuit in accordance with the instructions described in the image coordinate range setting processing program 32a, and the software and hardware work together. By doing so, the function described in the following operation explanation is realized.

  Next, operations of the graph scientific calculator 10 and the external PC 30 configured as described above will be described.

  FIG. 5 is a flowchart showing image coordinate range setting processing by the external PC 30.

  FIG. 6 is a diagram showing a specific example of the display operation associated with the image coordinate range setting process of the external PC 30.

  The image file storage unit 32c of the external PC 30 stores a plurality of sets of image files A, B,... Taken continuously by, for example, a moving object as a subject by a digital camera (not shown). Each image file A, B,... Is associated with a time interval Δt of continuous shooting taken from the digital camera together with the image file.

  First, when the image coordinate range setting processing program 32a is activated, a file selection screen listing the file names of the image files stored in the image file storage unit 32c is displayed on the display unit 37.

  When an arbitrary image file is designated on the file selection screen (step P1), for example, as shown in FIG. 6A, continuous shot images Pict1, 2, 3,... Included in the designated image file. , n are combined in layers, and the combined image Gbas is displayed on the color display unit 37 (step P2).

  In the present embodiment, a composite image Gbas obtained by continuously shooting the movement trajectories b1 to b7 of the ball is generated and displayed with the free shot of the basketball. At this time, the continuous shooting interval Δt = 0.2 s associated with the corresponding image file is displayed in the empty area below the composite image Gbas, and the actual measurement value input area Δx = [] is displayed. .

  Here, with respect to the composite image Gbas displayed on the color display unit 37, when it is desired to cut out a desired image range (step P3 (Yes)), an image in an arbitrary rectangular range according to the user operation is cut out and re-executed. Is displayed (step P4).

  Then, based on the continuous shooting interval Δt = 0.2 s associated with the image file being displayed and the respective recognized positions of the continuously shot moving objects (balls: b1, b2,..., B7), It is determined that the positions of the objects (balls: b1, b2,..., B7) are substantially equidistant, and auxiliary lines h1 to h1 for setting the scales in the horizontal direction (object moving direction) at equal intervals on the composite image Gbas. h7 is drawn in red (step P5).

  Further, a horizontal line such as a ground surface or a floor surface included in the displayed composite image Gbas is recognized, and an X axis in which the recognized horizontal line is Y = 0 is displayed in blue (step P6). Note that the X-axis setting position (Y = 0) can be corrected by moving to an arbitrary vertical position in accordance with a user operation.

  Furthermore, among the moving objects (balls: b1, b2,..., B7) included in the displayed composite image Gbas, the leftmost moving object b1 is recognized, and the position of the recognized moving object b1 is set to X = 0. Is displayed in blue (step P7). Note that the Y-axis setting position (X = 0) can be corrected by moving to an arbitrary position on the left and right in accordance with a user operation.

  Then, the positions of the auxiliary lines h1 to h7 that divide the X axis are set as the reference scales 0 to 6 of the X axis, and the X coordinate range (XSmin = −3) converted based on the reference scales 0 to 6 is used. .6666 to XSmax = 17.3328) and the Y coordinate range (YSmin = −0.4722 to YSmax = 4.694) are displayed in red (step P8).

  Here, the xy coordinates (x1, y1) (x2, y2)... (X7, y7) of the respective moving objects b1 to b7 are detected based on the reference XY coordinate range in the displayed composite image Gbas. And stored in the moving object coordinate list storage unit 32d (step P9).

  Then, as shown in FIG. 6B, with respect to the measured value input area Δx = [] displayed in the empty area below the composite image Gbas, one interval between the auxiliary lines h1 to h7 according to the user operation. Is measured length [0.55 m] per one X-axis scale corresponding to (step P10).

  Then, the measured X-coordinate range (XRmin = −2.02 m to XRmax = 9.54 m) and the measured Y-coordinate range (YRmin = −Y) converted based on the inputted measured value Δx = 0.55 m per X axis scale. 0.26 m to YRmax = 2.58 m) is displayed in blue (step P11).

  In this way, the composite image Gbas of the image file obtained by continuously shooting the moving objects b1 to b7 is displayed, and the auxiliary lines h1 to h7 drawn according to the constant continuous shooting interval Δt of the moving objects b1 to b7 and the measurement between the auxiliary lines. Based on the length Δx, the reference XY coordinate range (XSmin to max, YSmin to max) and the measured XY coordinate range (XRmin to max, YRmin to max) are converted and displayed as shown in FIG. As described above, an arbitrary file name “BASKET.g3m” is input to the saved file name input area F displayed in the window according to the file saving operation (step P12).

  Then, with respect to the composite image Gbas being displayed, the continuous shooting time interval Δt = 0.2 s, the reference XY coordinate range (XSmin to max, YSmin to max), and the actually measured XY coordinate range (XRmin to max, YRmin to max), the scale value “1” of the reference scale, and the actual measurement value Δx = 0.55 m are added and associated with the input file name “BASKET.g3m” together with the corresponding moving object coordinate list (32d). And stored in the image & coordinate range file storage unit 32f (see FIG. 3) (step P13).

  Thus, the image & coordinate range file data stored in the image & coordinate range file storage unit 32f of the external PC 30 is transferred to the graph scientific calculator 10 via the external device communication unit 35, and the image & coordinate range file data & It is stored in the coordinate range file storage unit 22d (see FIG. 3).

  FIG. 7 is a flowchart showing graph function display processing by the graph scientific calculator 10.

  FIG. 8 is a diagram showing a specific example (part 1) of the display operation associated with the graph function display process by the graph scientific calculator 10.

  FIG. 9 is a diagram showing a specific example (part 2) of the display operation accompanying the graph function display process by the graph scientific calculator 10.

  FIG. 10 is a diagram showing a specific example (part 3) of the display operation associated with the graph function display process by the graph scientific calculator 10.

  The graph mode is selected and set according to the operation mode selection screen displayed on the color display unit 16 in accordance with the operation of the “Menu” key. Further, in response to the operation of the “SHIFT” key + “MENU” (SET UP) key, the operation of the cursor key 15 is performed while the graph mode display setting screen Gset is displayed as shown in FIG. Accordingly, the reverse cursor Cu is moved, the setting item “Background” of the background image is selected, and [OPEN] (background image open) is designated by operating the “F3” key. Then, as shown in FIG. 8B, an image file selection screen Gm in which the file names stored in the image & coordinate range file storage unit 22d (see FIG. 3) are listed is displayed. (Step S1).

  In this image file selection screen Gm, for example, when the file name “BASKET.g3m” is designated by the reverse cursor Cu and the “EXE” key is operated, an image & image associated with the designated file name “BASKET.g3m” is displayed. The composite image Gbas stored in the coordinate range file storage unit 22d (see FIG. 3) is read out, and is synthesized and displayed as a background image of the display setting screen Gset as shown in FIG. 8C. (Step S2).

  In FIG. 8C, the display screen Gset / Gbas in which the composite image Gbas is actually overlapped as the background image of the display setting screen Gset is complicated and difficult to see in the figure, so here it is the same as the setting screen Gset. The composite image Gbas is illustrated separately. The same applies hereinafter.

  Here, the coordinate range [reference XY coordinate range (XSmin = −3.6666 to max = 17.3328, YSmin =) associated with the image file confirmed and displayed according to the selected file name “BASKET.g3m”. −0.4722−max = 4.694)] and the scale value “1” of the reference scale, a message prompting the user whether to set for the graph display of the main body of the calculator 10 is displayed, and the main body setting is designated. Then (step S3 (Yes)), the coordinate range and scale value of the image file are stored and set in the V-Window setting value storage unit 22c (step S4).

  When the confirmation of the V-Window setting value is instructed in accordance with the operation of the “SHIFT” key + “F3” (V-Window) key (step S3a (Yes)), FIG. As shown, the coordinate range and scale value stored and set in the V-Window setting value storage unit 22c are read out and displayed as a V-Window setting screen Gv-w (step S5).

Thereafter, as shown in FIG. 9F, when the confirmation display state of the V-Window setting screen Gv-w is ended according to the operation of the “EXIT” key, it is associated with the selected composite image Gbas. And a coordinate list [(x1, y1) (x2, y2)... (X7, y7)] corresponding to the moving objects b1 to b7 in the composite image Gbas stored in the image & coordinate range file storage unit 22d. The graph expression [Y1 = −0.12 (X−3) ² +4.5] corresponding to this is calculated and displayed on the expression input screen Gt (step S6). Note that this graph formula Y1 may be input by the user himself with reference to the trajectories of the moving objects b1 to b7 in the composite image Gbas.

  When the drawing display of the graph corresponding to the graph expression Y1 is instructed in accordance with the operation of the “SHIFT” key + “F6” (GT) key, the setting is stored in the V-Window setting value storage unit 22c. Coordinate range [reference XY coordinate range (XSmin = −3.6666 to max = 17.3328, YSmin = −0.4722 to max = 4.694)], reference scale value “1” and presence / absence of XY axis According to the setting contents of the presence / absence of scale values and the presence / absence of grid lines, as shown in FIG. 9G, the graph screen Gy1 on which the graph Y1 is drawn is displayed, and the composite image Gbas is the background of the graph screen Gy1. Are combined and displayed (step S7).

  As a result, the composite image Gbas obtained by continuously shooting the user-desired moving objects b1 to b7 and the graph Y1 corresponding to the trajectory of the moving objects b1 to b7 are displayed as the movement interval (constant continuous shooting) of the moving objects b1 to b7. The reference scale value corresponding to the (interval) can be displayed on the XY coordinates.

  In FIG. 9G, the graph image composition screen Gy1 / Gbas in which the composite image Gbas is actually overlapped as the background image of the graph screen Gy1 is complicated and difficult to see. The composite image Gbas is separately illustrated. The same applies hereinafter.

  In this manner, the composite image Gbas obtained by continuously shooting the moving objects b1 to b7 desired by the user and the graph Y1 corresponding to the trajectory of the moving objects b1 to b7 are superimposed on the graph screen Gy1 including the reference XY coordinates. In the displayed state, as shown in FIG. 9H, in response to the operation of the “SHIFT” key + “F1” (Trace) key, a graph trace for the graph Y1 is instructed (step S8 (Yes) )), The X value of the trace pointer P is set to an initial value (in this case, X = 0) (step S9).

Then, the trace pointer P corresponding to the initial value X = 0 of the X value is displayed on the graph Y1, and the graph formula [Y1 = −0.12 (X−3) ² +4.5] is displayed at the top of the graph screen Gy1. And is stored in the image & coordinate range file storage unit 22d in association with the initial XY coordinate values (X = 0, Y = 3.42) of the trace pointer P and the composite image Gbas. The actual measurement coordinate value (XR = 0m.YR = 1.881m) converted based on the actual measurement length Δx = 0.55m is displayed at the bottom of the graph screen Gy1 (step S10).

  Then, as shown in FIG. 10I, when the cursor key 15 is operated to instruct the movement of the trace pointer P to the left “←” or the right “→” (step S11 (Yes)), the pointer For each movement instruction, the X value of the trace pointer P is increased or decreased by a predetermined dot interval Δx (= 1 to 3 dots) in the X direction (step S12).

  Thereby, the trace pointer P after the X value change is displayed on the graph Y1, and the XY coordinate values (X = 3, Y = 4.5) corresponding to the reference scale of the trace pointer P and the actually measured length. The actually measured coordinate value (XR = 1.65 m. YR = 2.475 m) converted based on Δx = 0.55 m is updated and displayed (step S10).

  Also, for example, as shown in FIG. 10J, an operation instruction for obtaining [tilt] is made in a state where the trace pointer P on the graph Y1 is positioned at the XY coordinate values (X = 0, Y = 3.42). Then (step S13 (Yes)), the slope K [dx / dy = 0.72] of the graph Y1 at the current coordinate position of the pointer P (X = 0, Y = 3.42) is calculated and displayed. In addition, an actually measured inclination value [V = 0.396 m / s] converted based on the actually measured length Δx = 0.55 m is also calculated and displayed (step S14).

  Here, when the return of processing is instructed according to the operation of the “EXIT” key (step S15 (Yes)), as shown in FIG. 9G, the composite image is displayed on the background of the initial graph screen Gy1. It returns to the state where Gbas is synthesized and displayed (step S7).

  In the display state of the graph image composition screen Gy1 / Gbas in which the composite image Gbas is superimposed on the background of the graph screen Gy1, when the simultaneous display of the XY graph and the TY graph is instructed in accordance with a user operation (step) S17 (Yes)), as shown in FIG. 10K, the left half of the graph image composition screen Gy1 / Gbas in which the graph screen Gy1 of the XY graph Y1 whose XY coordinate scale is the reference value is overlaid is displayed in color. The composite screen Gy1 ′ / on which the graph screen Gy1 ′ of the TY graph Y1 obtained by converting the X coordinate into the T coordinate of the continuous shooting interval Δt = 0.2 s is displayed. The left half of Gbas is displayed side by side on the right side of the color display section 16 (step S19).

  Here, when a return of processing is instructed according to the operation of the “EXIT” key (step S20 (Yes)), as shown in FIG. 9G, the composite image is displayed on the background of the initial graph screen Gy1. It returns to the state where Gbas is synthesized and displayed (step S7).

  Then, when the end is instructed by operating the “AC” key (step S16 (Yes)), the series of graph function display processing is ended.

  As described above, all processing including the image coordinate range setting processing executed by the external PC 30 may be executed by the graph scientific calculator 10. In this case, continuous shooting is performed by a digital camera (not shown). Various image files may be directly taken into the graph scientific calculator 10 and processed.

  Therefore, according to the image coordinate range setting function for the continuous shot composite image of the moving object by the external PC 30 having the above configuration and the graph function display function of the moving object locus superimposed on the continuous shot composite image by the graph function calculator 10, The coordinate scale on the horizontal axis of the graph display is set based on auxiliary lines h1, h2,... Drawn according to the positions of the moving object corresponding to the continuous shooting interval, and the coordinate scale is set to a simple integer value 0, 1, 2,..., And an actual measurement scale that is converted into an actual measurement value (continuous shooting time interval Δt or movement distance Δx) corresponding to the continuous shooting interval of the moving object.

  Thereby, when the graph corresponding to the image of the moving object is displayed in an overlapping manner, the graph corresponding to the conceptual scale and the graph corresponding to the realistic scale can be easily linked and learned.

In the graph function display process (see FIG. 7) of the graph scientific calculator 10 of the embodiment, the graph formula [Y1 = −0] is obtained from the xy coordinates of the moving objects b1 to b7 detected according to the standard XY coordinate range. .12 (X-3) ² +4.5] is calculated and displayed (see FIG. 9), but the measured graph formula [Y1 converted according to the measured length Δx = 0.55 m input by the user. (M) = − 0.066 (X−1.65) ² +2.475] may be displayed.

  Further, in the embodiment, in the image coordinate range setting process (see FIGS. 5 and 6) of the external PC 30, an image of an arbitrary rectangular range is not cut out from the composite image Gbas displayed on the color display unit 37 ( A specific example (see FIGS. 8 to 10) of the display operation in the graph function display process (see FIG. 7) by the graph scientific calculator 10 in step P3 (No) has been described.

  On the other hand, in the image coordinate range setting process of the external PC 30 (see FIG. 5), an image of an arbitrary rectangular range is cut out from the composite image Gbas displayed on the color display unit 37 (step P3 (Yes)). A specific example (see FIG. 11) of the display operation in the graph function display process by the graph scientific calculator 10 in P4) will be described below.

  FIG. 11 shows the pattern of the rectangular cutout region CP for the moving object composite image Gbas in the image coordinate range setting process, and the parallel display operation of the XY graph versus the TX graph in the graph function display process corresponding thereto. It is a figure which shows the specific example with the parallel display operation | movement of XY graph vs. TY graph.

  When the segmented image CPas shown in FIG. 11A is partially cut out from the synthesized image Gbas obtained by continuously shooting the moving objects b1, b2,. As shown in (A2), both the XY graph screen Gy1 and the TY graph screen Gy1 ′ with the composite image Gbas in the cutout range (CP) as the background are both included in the rectangular cutout region CP. Is displayed as a curve corresponding to the trajectory of the moving object bn.

  Further, when a combined image Gbas obtained by continuously shooting moving objects b1, b2,..., Bn is cut out in the X direction and in the Y direction by a rectangular cutout region CP as shown in FIG. As shown in FIGS. 11 (B1) and 11 (B2), each graph Y1 of the XY graph screen Gy1 and the TY graph screen Gy1 ′ with the synthetic image Gbas in the cutout range (CP) as a background is The trajectory of the composite image Gbas and the moving object bn... Included in the rectangular cutout region CP is displayed as a curve compressed in the X direction.

  Further, when the synthesized image Gbas obtained by continuously shooting the moving objects b1, b2,..., Bn is cut out by a rectangular cutout region CP as shown in FIG. As shown in C2), each of the graphs Y1 of the XY graph screen Gy1 and the TY graph screen Gy1 ′ against the background of the composite image Gbas of the cutout range (CP) is included in the rectangular cutout region CP. The trajectory of the composite image Gbas and the moving object bn... Is displayed as a curve compressed in both XY directions.

  As shown in FIGS. 11 (A1), (B1), and (C1), the graph Ytx on the TX graph screen Gtx is the continuous shooting time interval Δt of the moving objects b1, b2,... And its moving interval (length). Since Δx increases in proportion, it is always displayed as a linear straight line.

  In addition, each method such as the image coordinate range setting process shown in the flowchart of FIG. 5 and the graph function display process shown in the flowchart of FIG. As programs that can be executed by the computer, an external recording medium 23 (such as a memory card (ROM card, RAM card, etc.), magnetic disk (floppy disk, hard disk, etc.), optical disk (CD-ROM, DVD, etc.), semiconductor memory, etc. 33) and can be distributed. The computer 21 (31) of the electronic calculator 10 (30) reads the program stored in the external recording medium 23 (33) into the storage device 22 (32), and the operation is controlled by the read program. This realizes the display function of the reference value coordinates and the actual measurement value coordinates on the graph screen Gy1 corresponding to the moving object trajectory based on the moving object continuous-shot composite image Gbas described in each of the above embodiments. Processing can be executed.

  Further, program data for realizing each of the above methods can be transmitted as a program code form on a communication network (public line), and the program can be transmitted by the communication device 25 (35) connected to the communication network. The function of displaying the reference value coordinates and the actual value coordinate on the graph screen Gy1 corresponding to the moving object trajectory based on the moving object continuous-shot composite image Gbas described above by taking the data into the computer 21 (31) of the electronic calculator 10 (30) Can also be realized.

  Note that the present invention is not limited to the above-described embodiments, and various modifications can be made without departing from the scope of the invention at the stage of implementation. Further, each of the embodiments includes inventions at various stages, and various inventions can be extracted by appropriately combining a plurality of disclosed constituent elements. For example, even if some constituent elements are deleted from all the constituent elements shown in each embodiment or some constituent elements are combined in different forms, the problems described in the column of the problem to be solved by the invention If the effects described in the column “Effects of the Invention” can be obtained, a configuration in which these constituent requirements are deleted or combined can be extracted as an invention.

  Hereinafter, the invention described in the scope of claims of the present application will be appended.

[1]
Composite image acquisition means for acquiring a composite image of a plurality of images taken continuously;
Reference scale setting means for setting a reference scale with respect to the coordinate axis of the moving direction of the moving object in correspondence with the position of the moving object included in the continuous shooting interval for the composite image acquired by the composite image acquiring means; ,
Actual value acquisition means for acquiring an actual value corresponding to the photographing interval;
Graph image composition display means for displaying the composite image acquired by the composite image acquisition means on the display unit and displaying a graph corresponding to the movement trajectory of the moving object included in the composite image superimposed on the composite image; ,
Reference coordinate value display means for displaying the coordinate value related to the graph displayed by the graph image composition display means at a coordinate value corresponding to the reference scale set by the reference scale setting means;
Actual coordinate value display means for displaying the coordinate value corresponding to the reference scale displayed by the reference coordinate value display means as coordinate values converted based on the actual measurement value acquired by the actual measurement value acquisition means;
A graph function display device comprising:

[2]
The composite image acquisition means acquires a time interval of the continuous shooting together with a composite image of a plurality of images shot continuously,
The actual measurement value acquisition unit acquires a continuous shooting time interval acquired by the composite image acquisition unit as an actual measurement value.
The graph function display device according to [1], wherein

[3]
The actual measurement value acquisition unit acquires, as an actual measurement value, a moving distance of a moving object corresponding to the shooting interval of the continuous shooting according to a user operation.
The graph function display device according to [1], wherein

[4]
A graph tracing unit that displays a pointer according to a user operation on the graph displayed by the graph image composition display unit and moves the pointer to an arbitrary position on the graph;
The reference coordinate value display means displays the coordinate value corresponding to the position of the pointer displayed on the graph by the graph trace means as a coordinate value corresponding to the reference scale set by the reference scale setting means.
The graph function display device according to any one of [1] to [3].

[5]
A graph expression acquisition means for acquiring a graph expression corresponding to the trajectory of the moving object included in the composite image acquired by the composite image acquisition means;
Graph expression display means for displaying the graph expression acquired by the graph expression acquisition means together with the graph displayed on the display unit by the graph image composition display means;
An actual graph expression display means for displaying the graph expression displayed by the graph expression display means as a graph expression converted according to the actual measurement value acquired by the actual measurement value acquisition means;
The graph function display device according to any one of [1] to [4], comprising:

[6]
The composite image acquisition means cuts out and acquires a composite image in an arbitrary range according to a user operation from a composite image of a plurality of images taken continuously.
The graph function display device according to any one of [1] to [5].

[7]
A program for controlling a computer of an electronic computer having a display unit,
The computer,
Composite image acquisition means for acquiring a composite image of a plurality of images taken continuously;
Reference scale setting means for setting a reference scale for the coordinate axis of the moving direction of the moving object in correspondence with the position of the moving object included in the shooting interval of the continuous shooting with respect to the composite image acquired by the composite image acquiring means,
Actual value acquisition means for acquiring an actual value corresponding to the photographing interval,
Graph image composition display means for displaying the composite image acquired by the composite image acquisition means on the display unit and displaying a graph corresponding to the movement trajectory of the moving object included in the composite image, superimposed on the composite image. ,
Reference coordinate value display means for displaying the coordinate value related to the graph displayed by the graph image composition display means at a coordinate value corresponding to the reference scale set by the reference scale setting means;
An actual coordinate value display means for displaying a coordinate value corresponding to the reference scale displayed by the reference coordinate value display means as a coordinate value converted based on the actual value acquired by the actual value acquisition means;
Program to function as.

DESCRIPTION OF SYMBOLS 10 ... Graph scientific calculator 11 ... Key input part 12 ... Number and operation symbol key group 13 ... Function function key group 14 ... Mode setting key group 15 ... Cursor key 16 ... Color display part 16T ... Touch panel 21 ... Calculator processor (CPU)
22 ... Calculator storage unit 22a ... Graph function display processing program 22b ... Graphic data storage unit 22c ... V-Window set value storage unit 22d ... Image & coordinate range file storage unit (calculator)
22e: Calculator work area 23: External recording medium (calculator)
24 ... Recording medium reader (calculator)
25 ... PC communication part 30 ... External PC
31 ... PC processor (CPU)
32 ... PC storage unit 32a ... Image coordinate range setting processing program 32b ... Display data storage unit 32c ... Image file storage unit 32d ... Moving object coordinate list storage unit 32e ... Coordinate range reference value storage unit 32f ... Image & coordinate range file storage unit (PC)
32 g ... PC work area 33 ... External recording medium (PC)
34. Recording medium reading unit (PC)
35 ... External device communication part 36 ... Key input part (PC)
37 ... color display part b1 to bn ... moving object (ball)
Gbus ... Moving object continuous shot composite image h1-hn ... Auxiliary line (reference scale)
XSmin to XSmax ... Reference X coordinate range YSmin to YSmax ... Reference Y coordinate range XRmin to XRmax ... Measured X coordinate range YRmin to YRmax ... Measured Y coordinate range Gset ... Graph display setting screen Gm ... Image file selection screen Gv-w ... V- Window setting screen Gt ... Graph type list screen GY1 ... XY graph screen GY1 '... TY graph screen Y1 ... XY (TY) graph P ... Trace pointer K ... Graph inclination CP ... Rectangular cutout region Gtx ... TX graph screen Ytx ... TX graph

Claims (7)

Reference scale setting means for setting a reference scale for the coordinate axis of the moving direction of the moving object corresponding to the position of the moving object included in the continuous shooting shooting interval for a composite image of a plurality of continuously shot images;
Actual value acquisition means for acquiring an actual value corresponding to the photographing interval;
Together to display the synthetic image on the display unit, and a graph image synthesizing display unit for displaying a graph in accordance with the locus of movement of the moving object included in the overlaid the composite image to the composite image,
Reference coordinate value display means for displaying the coordinate value related to the graph displayed by the graph image composition display means at a coordinate value corresponding to the reference scale set by the reference scale setting means;
Actual coordinate value display means for displaying the coordinate value corresponding to the reference scale displayed by the reference coordinate value display means as coordinate values converted based on the actual measurement value acquired by the actual measurement value acquisition means;
Equipped with a,
The reference scale setting means, when it is determined that the positions of the moving objects are substantially equal intervals, sets the reference scale for the coordinate axis in the moving direction of the moving objects to the intervals.
A graph function display device. Storing the time interval of the continuous shooting with the composite image of the plurality of images the continuous shooting,
The measured value obtaining means obtains a time interval before Symbol continuous shooting as measured values,
The graph function display device according to claim 1 . The actual measurement value acquisition unit acquires, as an actual measurement value, a moving distance of a moving object corresponding to the shooting interval of the continuous shooting according to a user operation.
The graph function display device according to claim 1 . A graph tracing unit that displays a pointer according to a user operation on the graph displayed by the graph image composition display unit and moves the pointer to an arbitrary position on the graph;
The reference coordinate value display means displays the coordinate value corresponding to the position of the pointer displayed on the graph by the graph trace means as a coordinate value corresponding to the reference scale set by the reference scale setting means.
It graph function display device according to any one of claims 1 to 3, characterized in. A graph formula obtaining means for obtaining the graph formula in accordance with the trajectory of the moving object contained in the synthesis image,
Graph expression display means for displaying the graph expression acquired by the graph expression acquisition means together with the graph displayed on the display unit by the graph image composition display means;
An actual graph expression display means for displaying the graph expression displayed by the graph expression display means as a graph expression converted according to the actual measurement value acquired by the actual measurement value acquisition means;
Graph function display device according to any one of claims 1 to 4, characterized in that with a. A unit that cuts out and acquires a composite image of an arbitrary range according to a user operation from a composite image of the plurality of continuously shot images ;
It graph function display device according to any one of claims 1 to 5, characterized in. A program for controlling a computer of an electronic computer having a display unit,
The computer,
Reference scale setting means for setting a reference scale for the coordinate axis of the moving direction of the moving object in correspondence with the position of the moving object included in the shooting interval of the continuous shooting for a composite image of a plurality of continuously shot images;
Actual value acquisition means for acquiring an actual value corresponding to the photographing interval,
Wherein the synthetic image together to be displayed on the display unit, a graph image synthesizing display unit for displaying a graph in accordance with the locus of movement of the moving object included to overlap the composite image in the composite image,
Reference coordinate value display means for displaying the coordinate value related to the graph displayed by the graph image composition display means at a coordinate value corresponding to the reference scale set by the reference scale setting means;
An actual coordinate value display means for displaying a coordinate value corresponding to the reference scale displayed by the reference coordinate value display means as a coordinate value converted based on the actual value acquired by the actual value acquisition means;
To function as,
The reference scale setting means, when it is determined that the positions of the moving objects are substantially equal intervals, the reference scale for the coordinate axis of the moving direction of the moving object is set to the intervals,
program.

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