CN102841781B - Based on building method and the system of the function curve of electronic whiteboard - Google Patents
Based on building method and the system of the function curve of electronic whiteboard Download PDFInfo
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- CN102841781B CN102841781B CN201110171308.9A CN201110171308A CN102841781B CN 102841781 B CN102841781 B CN 102841781B CN 201110171308 A CN201110171308 A CN 201110171308A CN 102841781 B CN102841781 B CN 102841781B
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Abstract
The invention discloses a kind of building method and system of the function curve based on electronic whiteboard.The method comprises: carry out the function curve class prestored in instantiation electronic whiteboard according to the function expression inputted and initial parameter, thus generating function curve; The coordinate system unit length that initial setting up electronic whiteboard is corresponding, sets up the corresponding relation between function curve and coordinate system simultaneously, and obtains the value of coordinate system based on initial setting up electronic whiteboard respective coordinates system unit length.The system of method of the present invention and execution the method can show multiple function curve under a coordinate system, can also increase simultaneously, delete, real time modifying function curve, and function curve is pulled, translation etc., add interactivity and the real-time of electronic whiteboard; Increasing, delete function curve, pull or translation function curve time, coordinate system can dynamically change in proportion, can more clear, explicit function curve is in the position of coordinate system exactly.
Description
Technical field
The invention belongs to electronic whiteboard field, particularly relate to a kind of building method and system of the function curve based on electronic whiteboard.
Background technology
Interactive electronic system comprises interactive electric whiteboard, panel computer etc.Interactive electronic system has dirigibility, the features such as interactivity.Wherein interactive electric whiteboard is connected with computing machine by touch-screen, projector equipment by the content projection on computing machine on touch-screen, by operating in the application program in PC, user carries out clicking and writing on the touchscreen, what complete between computing machine is mutual, forms a mutual giant-screen meeting and teaching environment.
Common interactive electric whiteboard generally only provides the function showing a function curve in a coordinate system, and arbitrary a kind of function (such as sine function) can be selected to show in the coordinate system.Some interactive electric whiteboards provide shared coordinate system technology, namely can show multiple function curve in a coordinate system, and any several function (such as sine, cosine, cube, square etc.) can be selected to be simultaneously displayed in a coordinate system.
In the interactive systems such as current electronic whiteboard, provide the implementation that polygamma function shares a coordinate system, but cannot increase function or coordinate system in real time, revise, the operation such as deletion.In use, user wishes to show multiple function curve under a coordinate system, also wish can to modify respectively to several functions of the shared coordinate system be presented in electronic whiteboard in real time, delete simultaneously, the various operation such as replacement, to improve interactivity and the dirigibility of teaching process.But current electronic whiteboard merely provides the display mechanism that a kind of polygamma function curve shares a coordinate system, but can not carry out the operations such as real-time amendment, deletion, replacement according to the needs of user.
Summary of the invention
The technical problem to be solved in the present invention is to provide a kind of building method and the system that can carry out the function curve based on electronic whiteboard controlled in real time to several functions of shared coordinate system.
For solving the problems of the technologies described above, the present invention adopts following technical scheme:
On the one hand, propose a kind of building method of the function curve based on electronic whiteboard, comprise the steps:
The function curve class prestored in instantiation electronic whiteboard is carried out according to the function expression inputted and initial parameter, thus generating function curve;
The coordinate system unit length that initial setting up electronic whiteboard is corresponding, sets up the corresponding relation between function curve and coordinate system simultaneously, and obtains the value of coordinate system based on initial setting up electronic whiteboard respective coordinates system unit length.
Preferably, above-mentioned disposal route also comprises step:
Coordinate system unit length is set, resets the unit length of respective coordinates axle according to the field of definition scope of each variable in all function curves of this coordinate system, and upgrade the value of coordinate system based on the coordinate system unit length of current setting.
Preferably, arrange coordinate system unit length to comprise the steps:
Obtain respectively the maximum value of coordinate system on direction, each coordinate axis initial point both sides as function curve in the field of definition scope of each variable;
According to the unit length of the predetermined interval adjustment respective coordinates axle at the digit place of the field of definition scope of variable each in function curve;
The value of coordinate system is upgraded according to the unit length of respective coordinates axle.
Preferably, above-mentioned disposal route is also included on electronic whiteboard increases function curve, comprising:
According to function expression and the initial parameter generating function curve of input;
If coordinate system changes compared with the function curve of increase, then reset coordinate system unit length and upgrade the value of coordinate system.
Preferably, above-mentioned disposal route is also included on electronic whiteboard and deletes function curve, comprising:
Delete the expression formula that the function curve of specifying is corresponding;
If coordinate system changes compared with the function curve of deletion, then reset coordinate system unit length and upgrade the value of coordinate system.
Preferably, above-mentioned disposal route is also included on electronic whiteboard and pulls function curve, comprises the steps:
Judge coordinate system according to the current all function curves of this coordinate system and pulled the situation of change of function curve;
If changed, reset coordinate system unit length and upgrade the value of coordinate system.
Preferably, above-mentioned disposal route also comprises the setting process of field of definition open interval to function curve or closed interval.
Preferably, the setting process in the above-mentioned field of definition open interval to function curve comprises the steps:
When field of definition is set as left open interval, the left margin of function curve field of definition on respective coordinates axle is that initial value adds dimensionless;
When field of definition is set as right open interval, the right margin of function curve field of definition on respective coordinates axle is that initial value deducts dimensionless;
When field of definition is set as left closed interval, the left margin of function curve field of definition on respective coordinates axle is initial value;
When field of definition is set as interval closed at the right, the right margin of function curve field of definition on respective coordinates axle is initial value.
On the other hand, proposing a kind of being used for and perform the system based on the building method of the function curve of electronic whiteboard, comprising: input detection unit, for detecting data and the instruction of input; Also comprise:
Function curve sets up unit, for the function curve class coming to prestore in instantiation electronic whiteboard according to the function expression inputted and initial parameter, thus generating function curve;
Establishment of coordinate system unit, for initial setting up electronic whiteboard respective coordinates system unit length, sets up the corresponding relation between function curve and coordinate system simultaneously, and obtains the value of coordinate system based on initial setting up electronic whiteboard respective coordinates system unit length.
Preferably, said system also comprises coordinate system unit length setting unit, for the coordinate system unit length that initial setting up electronic whiteboard is corresponding, set up the corresponding relation between function curve and coordinate system simultaneously, and obtain the value of coordinate system based on initial setting up electronic whiteboard respective coordinates system unit length.
The main advantage of the present invention is as follows:
1. technical scheme of the present invention can show multiple function curve under a coordinate system, can also increase simultaneously, delete function curve, real time modifying field of definition, expression formula, and function curve is pulled, translation etc., add interactivity and the real-time of white board interactive system;
2. increasing, delete function curve, pull or translation function curve time, coordinate system can dynamically change in proportion, such dynamic change, can more clear, explicit function curve is in the position of coordinate system accurately.
Accompanying drawing explanation
Fig. 1 illustrates the process flow diagram of a building method embodiment of the function curve that the present invention is based on electronic whiteboard;
When Fig. 2 a and 2b illustrates and pull function curve, coordinate system dynamically changes effect contrast figure;
Fig. 3 illustrates the open and close controlling interface of field of definition;
Fig. 4 illustrates a kind of structural representation of the tectonic system of the function curve that the present invention is based on electronic whiteboard.
Embodiment
The building method that the present invention is based on the function curve of electronic whiteboard mainly can increase, deletes and pull function curve on electronic whiteboard, and increase, delete and while pulling function curve in order to more intuitively, clearly explicit function curve, make the unit length of coordinate system can dynamic convergent-divergent in proportion.
As shown in Figure 1, the method embodiment comprises following two steps.
Step 1, carrys out the function curve class prestored in instantiation electronic whiteboard according to the function expression inputted and initial parameter, thus generating function curve.
Prestore a large amount of function curve classes in the storer of electronic whiteboard, detect the operation on electronic whiteboard, according to function expression and the initial parameter of input, just can generating function curve.Carry out constructed fuction according to predefined function curve class, utilize the initial parameter of input to carry out instantiation function curve.Generating a new function curve needs the parameter imported into comprise: the color of expression formula, field of definition, curve and the opening and closing of field of definition, also have the information such as sampled point.
A pre-defined function curve class.Suppose that the name of function curve class is called GraphCurve, this parameter required for function curve class is respectively: function expression, is character string type, is called express; The field of definition of function expression, is the vertex type of floating-point, is designated as xValue; The color of function curve, Color type, is designated as color; A Boolean type variable i sLeftOrRight, be used for represent field of definition left and right region between summit be open interval or closed interval; Defining a sampled point, is integer, and being designated as sample representative function curve is be made up of how many sampled points, and numeral is larger, then function curve is meticulousr.
Utilize JavaScript to resolve function expression express, according to the sampling number of sample setting, sample to field of definition, the sampled point obtained, as horizontal ordinate, imports function expression into, and then obtains the ordinate of function curve.
Step 2, the coordinate system unit length that initial setting up electronic whiteboard is corresponding, sets up the corresponding relation between function curve and coordinate system simultaneously, and obtains the value of coordinate system based on initial setting up electronic whiteboard respective coordinates system unit length.
The unit length of the coordinate system on initial setting up electronic whiteboard is a pixel, field of definition, the codomain information of every bar curve in the function curve array that statistic procedure 1 generates, calculate the scope that the x-axis of coordinate system and y-axis direction should show, thus determine the value of coordinate system.Because each function curve will be presented in same coordinate system, therefore each variable in pre-defined coordinate system, the unit length in x direction, represents the corresponding relation of screen coordinate and mathematical coordinates on x direction, be designated as the pixel that Xscale(unit length is corresponding), initial value is 1; The unit length of Y-direction, represents the corresponding relation of screen coordinate and mathematical coordinates on y direction, is designated as the pixel that Yscale(unit length is corresponding), initial value is 1; True origin, is designated as OriginalPoint, and these variablees can define a coordinate system.
Then set up the contact between coordinate system sum functions curve, defining a curve list, is array type, is used for the function curve object generated in storing step 2: List<GraphCurve>; Expression formula array: List<String>expression, is used for storage function curve representation formula; Coordinate system, type is floating-point rectangle, is designated as _ coordBounds.The maximal value of the horizontal ordinate of all function curves and minimum value in statistic curve list List<GraphCurve>, as the maximum and minimum value (left margin of _ coordBounds and right margin) in coordinate system x direction.Suppose to comprise two function curves in function curve list List<GraphCurve>: (1) y=sin (x); field of definition is [-4; 0], then the codomain calculated by step 2 is [-1,1]; (2) y=x+3, field of definition is [-1,3], then the codomain calculated is [2,6].Therefore coordinate system indication range in the direction of the x axis should be [-4,3], the scope that y-axis shows is [-1,6], correspondence obtains the border _ coordBounds of displaing coordinate system on screen, and concrete preparation method is: left margin :-4 × Xscale, right margin: 3 × Xscale, lower boundary :-1 × Yscale, coboundary: 6 × Yscale.Amplify a little during actual displayed, such display effect is more attractive in appearance, reasonable.
Because technical scheme of the present invention is separated function curve with coordinate system, thus respectively different operations is carried out to function curve and coordinate system, makes follow-up increase, when deleting function curve and pull function curve the operation such as dynamic change of the unit length of coordinate system become possibility.
Step 3, arranges coordinate system unit length, resets the unit length of respective coordinates axle according to the field of definition scope of each variable in all function curves of this coordinate system, and upgrades the value of coordinate system based on the coordinate system unit length of current setting.
The idiographic flow arranging coordinate system unit length is as follows:
Step 31, calculates the scope of field of definition, obtains the maximal value of absolute value of the field of definition of initial point both sides X-direction, the codomain of Y-direction respectively.
According to the border _ coordBounds of coordinate system and the meter full scale of true origin OriginalPoint calculating field of definition and codomain.Deduct the ultra-left point coordinate of abscissa line in the border _ coordBounds of coordinate system with the horizontal ordinate of true origin, be designated as Xlength, be business with Xlength and Xscale, obtain the mathematical coordinates of X-axis negative direction field of definition scope.In like manner, the mathematical coordinates of X-axis positive dirction field of definition scope can be obtained.Get the maximal value in X-axis forward and negative sense, as X-direction field of definition scope, be designated as xScope; In like manner can obtain Y direction codomain scope, be designated as yScope.
Step 32, calculate the figure place of the numeral representing field of definition and codomain scope, the form that xScope, the yScope be about to above is converted into character string is designated as xNumLen, yNumLen.The function used is xScope.ToString () .Length and yScope.ToString () .Length.
Step 33, judges which predetermined interval xNumLen, yNumLen figure place numerical value is positioned at respectively, according to the judged result adjustment unit length Xscale of X-direction and the unit length Yscale of Y-direction.Instantiation is as follows:
1) if the double figures within 20, then coordinate unit length is set to 2, and coordinate scale is 0,2,4,6,8 etc.;
2) if interval be greater than 20 double figures, then coordinate unit length is set to 5, and coordinate scale is 0,5,10,15 etc.;
3) if three figure places, then coordinate unit length is set to 25, and coordinate scale is 0,25,50 etc.;
4) if four figures, then coordinate unit length is set to 250, and coordinate scale is 0,250,500 etc., by that analogy.
Step 34, the coordinate system unit length based on current setting upgrades the value of coordinate system.
For the function curve coordinate system set up, also comprise the process 4 increasing function curve, detailed process is as follows:
Step 41, when detect increase the input instruction of function curve time, generate a new function curve according to the information structuring such as opening and closing, sampled point of the expression formula of the function curve selected, field of definition, color, field of definition.The function curve class of instant example is added in List<GraphCurve>;
Whether step 42, than change before judging coordinate system _ coordBounds and interpolation new function curve;
Step 43, according to judged result, if changed, is reseted coordinate system unit length by above-mentioned coordinate system unit length setting up procedure and is upgraded the value of coordinate system;
Step 44, according to judged result, if do not changed, processing procedure terminates.
For the function curve generated, also comprise the process 5 of deleting function curve, detailed process is as follows:
Step 51, when the input instruction of deleting function curve being detected, deletes the expression formula character string of specifying the function curve of deletion corresponding from expression formula array expression;
Whether step 52, than change before judging coordinate system _ coordBounds and deletion function curve;
Step 53, according to judged result, if changed, is reseted coordinate system unit length by above-mentioned coordinate system unit length setting up procedure and is upgraded the value of coordinate system;
Step 54, according to judged result, if do not changed, processing procedure terminates.
For the function curve generated, also comprise the process 6 pulling function curve, detailed process is as follows:
Whether step 61, when the input instruction pulling function curve being detected, than change before judging coordinate system _ coordBounds and pull function curve according to the distribution situation of the current all function curves of this coordinate system;
Step 62, according to judged result, if changed, is reseted coordinate system unit length by above-mentioned coordinate system unit length setting up procedure and is upgraded the value of coordinate system;
Step 63, according to judged result, if do not changed, processing procedure terminates.
When pulling function curve, coordinate system dynamically changes Contrast on effect as shown in figures 2 a and 2b.
When an interpolation function curve, field of definition is initially closed interval.Such as y=x+1, original definition territory is x:[-1,1] ,-1 and 1 all counts.The process arranging (or resetting) field of definition open interval or closed interval is as follows:
1) when in the Properties palette shown in Fig. 3, input is set as open interval, isLeftOrRight=true.
The border of the function curve such as field of definition of y=x+1 in x-axis is that initial value adds or deduct a dimensionless, such as 0.0001.If be set as left open interval such as x:(-1,1], then calculate from-1+0.0001, and-1 does not count.If be set as right open interval such as x:(-1,1], then calculate 1-0.0001, and 1 does not count.If be open interval such as x:(-1 about field of definition, 1), then calculate 1-0.0001 from-1+0.0001, and-1 and 1 does not all count.
2) when in the Properties palette shown in Fig. 3, input is set as closed interval, isLeftOrRight=false.
If be set as left closed interval, then the left margin of the function curve such as field of definition of y=x+1 in x-axis is initial value, does not make and changes.If be set as interval closed at the right, then the right margin of the function curve such as field of definition of y=x+1 in x-axis is initial value, does not make and changes.If be not only left closed interval but also be interval closed at the right, then right boundary is initial value.
Method disclosed in embodiments of the invention can construct many function curves under a coordinate system on electronic whiteboard, can also increase, delete and pull function curve according to operating on electronic whiteboard on electronic whiteboard, and increase, delete and while pulling function curve in order to more intuitively, clearly explicit function curve, make the unit length of coordinate system can dynamic convergent-divergent in proportion, improve interactivity and the experience of electronic whiteboard.
In order to realize method of the present invention, the system that the invention also discloses a kind of structure of the function curve based on electronic whiteboard mainly comprises as lower unit:
Function curve sets up unit 21, for the function curve class coming to prestore in instantiation electronic whiteboard according to the function expression inputted and initial parameter, thus generating function curve;
Establishment of coordinate system unit 22, for initial setting up electronic whiteboard respective coordinates system unit length, sets up the corresponding relation between function curve and coordinate system simultaneously, and obtains the value of coordinate system based on initial setting up electronic whiteboard respective coordinates system unit length.
The system of the structure of the function curve based on electronic whiteboard of the present invention also comprises coordinate system unit length setting unit 23, this unit is used for reseting the unit length of respective coordinates axle according to the field of definition scope of each variable in all function curves of this coordinate system and and then determining coordinate system scale, based on the value of the coordinate system unit length renewal coordinate system of current setting.
This system can also comprise that function curve adds processing unit 24, function curve delete processing unit 25, function curve pull processing unit 26 and any one unit in the interval set handling unit 27 of field of definition opening and closing or any number of unit.Wherein:
Function curve adds processing unit 24, for adding function curve according to the function expression inputted and initial parameter in the coordinate system set up and determining whether that starting coordinate system unit length setting unit resets coordinate system unit length;
Function curve delete processing unit 25, for deleting existing function curve in coordinate system according to the delete instruction of input and determining whether that starting coordinate system unit length setting unit resets coordinate system unit length;
Function curve pulls processing unit 26, resets coordinate system unit length for the startup coordinate system unit length setting unit that pulls instruction to determine whether according to input;
The interval set handling unit 27 of field of definition opening and closing, for arranging to the interval opening and closing of field of definition the boundary value that field of definition is determined in instruction according to input.
System disclosed in embodiments of the invention can construct many function curves under a coordinate system on electronic whiteboard, can also increase, delete and pull function curve according to operating on electronic whiteboard on electronic whiteboard, and increase, delete and while pulling function curve in order to more intuitively, clearly explicit function curve, make the unit length of coordinate system can dynamic convergent-divergent in proportion, improve interactivity and the Consumer's Experience of electronic whiteboard.
Claims (6)
1. based on a building method for the function curve of electronic whiteboard, it is characterized in that, the method comprises the steps:
The function curve class prestored in instantiation electronic whiteboard is carried out according to the function expression inputted and initial parameter, thus generating function curve;
The coordinate system unit length that initial setting up electronic whiteboard is corresponding, sets up the corresponding relation between function curve and coordinate system simultaneously, and obtains the value of coordinate system based on initial setting up electronic whiteboard respective coordinates system unit length;
Coordinate system unit length is set, resets the unit length of respective coordinates axle according to the field of definition scope of each variable in all function curves of this coordinate system, and upgrade the value of coordinate system based on the coordinate system unit length of current setting;
Also be included in increase on electronic whiteboard, delete or pull function curve, comprise the steps:
According to function expression and the initial parameter generating function curve of input;
Or
Delete the expression formula that the function curve of specifying is corresponding;
Or
Pull function curve;
If changed compared with coordinate system and increase, the function curve deleting or pull, then reset coordinate system unit length and upgrade the value of coordinate system.
2. the building method of the function curve based on electronic whiteboard according to claim 1, is characterized in that, arranges coordinate system unit length and comprises the steps:
Obtain respectively the maximum value of coordinate system on direction, each coordinate axis initial point both sides as function curve in the field of definition scope of each variable;
According to the unit length of the predetermined interval adjustment respective coordinates axle at the digit place of the field of definition scope of variable each in function curve;
The value of coordinate system is upgraded according to the unit length of respective coordinates axle.
3. the building method of the function curve based on electronic whiteboard according to claim 1, is characterized in that, also comprises and setting the field of definition open interval of function curve or closed interval.
4. the building method of the function curve based on electronic whiteboard according to claim 3, is characterized in that, sets, comprise the steps: the field of definition open interval of function curve
When field of definition is set as left open interval, the left margin of function curve field of definition on respective coordinates axle is that initial value adds dimensionless;
When field of definition is set as right open interval, the right margin of function curve field of definition on respective coordinates axle is that initial value deducts dimensionless.
5. the building method of the function curve based on electronic whiteboard according to claim 3, is characterized in that, sets, comprise the steps: the field of definition closed interval of function curve
When field of definition is set as left closed interval, the left margin of function curve field of definition on respective coordinates axle is initial value;
When field of definition is set as interval closed at the right, the right margin of function curve field of definition on respective coordinates axle is initial value.
6. based on a tectonic system for the function curve of electronic whiteboard, comprising: input detection unit, for detecting data and the instruction of input;
It is characterized in that, this system also comprises:
Function curve sets up unit, for the function curve class coming to prestore in instantiation electronic whiteboard according to the function expression inputted and initial parameter, thus generating function curve;
Establishment of coordinate system unit, for initial setting up electronic whiteboard respective coordinates system unit length, sets up the corresponding relation between function curve and coordinate system simultaneously, and obtains the value of coordinate system based on initial setting up electronic whiteboard respective coordinates system unit length;
Coordinate system unit length setting unit, for reset according to the field of definition scope of each variable in all function curves of this coordinate system respective coordinates axle unit length and and then determine coordinate system scale, the coordinate system unit length based on current setting upgrades the value of coordinate system;
Also comprise that function curve adds processing unit, function curve delete processing unit, function curve pull processing unit,
Function curve adds processing unit to be used in the coordinate system set up, adding function curve according to the function expression inputted and initial parameter and to determine whether that starting coordinate system unit length setting unit resets coordinate system unit length;
Function curve delete processing unit is used for deleting existing function curve in coordinate system according to the delete instruction of input and determines whether that starting coordinate system unit length setting unit resets coordinate system unit length;
Function curve pulls processing unit and resets coordinate system unit length for the startup coordinate system unit length setting unit that pulls instruction to determine whether according to input.
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| CN103076921B (en) * | 2013-01-07 | 2015-12-23 | 南京大学 | The electronic whiteboard of the computing method of two-way same frequency signal phase difference and the tangible input of employing the method |
| CN104866684A (en) * | 2015-06-05 | 2015-08-26 | 邹三 | Coordinate-parameter transmission rapid drawing method |
| CN108037877A (en) * | 2017-12-15 | 2018-05-15 | 广州视源电子科技股份有限公司 | Processing method, device, equipment and the storage medium of function curve |
| CN108288298B (en) * | 2018-01-23 | 2021-08-10 | 广州视源电子科技股份有限公司 | Method and device for drawing function image, computer equipment and storage medium |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN1121222A (en) * | 1993-11-25 | 1996-04-24 | 卡西欧计算机公司 | Graph display apparatus |
| CN102013182A (en) * | 2010-12-10 | 2011-04-13 | 哈尔滨工业大学深圳研究生院 | Mathematical communication method and system convenient for communication of freehand curve and handwritten expression |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1121222A (en) * | 1993-11-25 | 1996-04-24 | 卡西欧计算机公司 | Graph display apparatus |
| CN102013182A (en) * | 2010-12-10 | 2011-04-13 | 哈尔滨工业大学深圳研究生院 | Mathematical communication method and system convenient for communication of freehand curve and handwritten expression |
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