CN104809940A - Geometrical stereoscopic graph projection device and projection method - Google Patents
Geometrical stereoscopic graph projection device and projection method Download PDFInfo
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Abstract
The invention relates to the technical field of education and teaching, and provides a geometrical stereoscopic graph projection device and projection method. The projection method comprises the following steps that a two-dimensional plane graph is obtained; whether the two-dimensional plane graph is a geometrical stereoscopic graph or not is judged, if so, one point in a located interface of the two-dimensional plane graph is selected to be used as the original point of a two-dimensional coordinate system, and a boundary point coordinate of the two-dimensional plane graph is measured according to the original point of the two-dimensional coordinate system; the boundary point coordinate of the two-dimensional plane graph is subjected to coordinate transformation, and the three-dimensional coordinate of a boundary point is obtained; a three-dimensional stereoscopic graph is obtained according to the three-dimensional coordinate projection of the boundary point. The simple geometrical stereoscopic graph is subjected to graph analysis, processing and conversion, the stereoscopic graph with the three-dimensional effect is projected, the interactive competence of teaching is improved, the stereoscopic graph can finally help students to understand the three-dimensional stereoscopic graph, and the space imagining ability of students is improved.
Description
Technical field
The present invention relates to education and instruction technical field, particularly relate to a kind of geometry stereographic projection device and projecting method.
Background technology
Fundamental element in geometric system is increased to " point, line, surface " by " point, line ", space diagram is risen to from planar graph, become " three dimensions " from " two-dimensional space ", this ability for each side such as three dimensions visionary, logical thinking ability of student is proposed higher requirement, then, those are in the student in secondary school education stage, this abstract imagination but their weak part just.In addition, add the imperfection of current electronic instruction equipment, pattern space sense not easily represents, and interactive teaching and learning is also difficult to launch.Such as, in order to the concept allowing student understand common vertical line theorem better, often use two instructional rulers to replace space different surface beeline, then " gesticulating " repeatedly carries out the explanation of theorem, takes the plenty of time, effect is not fine.In sum, exist in prior art because user's space sense can not understand by force the problem of three-dimensional graphic space structure.
Summary of the invention
The object of the present invention is to provide a kind of geometry stereographic projection device and projecting method, being intended to solve for existing in prior art owing to existing in prior art because user's space sense can not understand by force the problem of three-dimensional graphic space structure.
The present invention is achieved in that first aspect provides a kind of geometry stereographic projection method, and described projecting method comprises the following steps:
A. 2-d plane graph is obtained;
B. judge whether described 2-d plane graph is solid geometry figure, is, then perform step C, otherwise return execution steps A;
C. select a point in the interface at described 2-d plane graph place to be two-dimensional coordinate system initial point, draw the frontier point coordinate of described 2-d plane graph according to the measurement of described two-dimensional coordinate system initial point;
D. the three-dimensional coordinate of frontier point is obtained after the frontier point coordinate of described 2-d plane graph being carried out coordinate transform;
E. three-dimensional graph is obtained according to the three-dimensional coordinate projection of described frontier point.
In conjunction with first aspect, in the first embodiment of first aspect, described steps A is specially:
Receive the 2-d plane graph of user's input or identify to obtain 2-d plane graph to captured image.
In conjunction with first aspect, in the second embodiment of first aspect, in described step B, judge that whether described 2-d plane graph is that the step of solid geometry figure is specially:
The face length degree judging whether to exist in described 2-d plane graph dotted line, shade or adjacent surface not etc., is not then judge that described 2-d plane graph is solid geometry figure, no, then judge that described 2-d plane graph is not solid geometry figure.
In conjunction with first aspect, in the third embodiment of first aspect, described step D is specially:
Obtain two-dimentional three-view diagram and two-dimensional geometry structure according to frontier point coordinate, generate two dimension and calculate data;
Calculate data according to two dimension, exported by data input, data restore, data processing and data and be converted to three-dimensional space model;
The coordinate data of three-dimensional space model is obtained according to three-dimensional space model.
In conjunction with the third embodiment of first aspect, in the 4th kind of embodiment of first aspect, described according to two dimension calculating data, also comprise after being converted to the step of three-dimensional space model by data input, data restore, data processing and data output:
To represent that the three-dimensional coordinate transformation of chosen frontier point becomes the two-dimensional coordinate relative to display screen according to described three-dimensional space model;
By the coordinate determined with one after the other convert the coordinate obtained and compare until produce equal result;
Draw the three-dimensional coordinate corresponding to the two-dimensional points that display screen is selected.
Second aspect present invention provides a kind of geometry stereographic projection device, and described geometry stereographic projection device comprises:
Figure acquisition module, for obtaining 2-d plane graph;
Solid figure judge module, for judging whether described 2-d plane graph is solid geometry figure, when judged result is no, drives the work of described figure acquisition module;
Coordinate obtaining module, for when the judged result of described solid figure judge module is for being, select a point in the interface at described 2-d plane graph place to be two-dimensional coordinate system initial point, draw the frontier point coordinate of described 2-d plane graph according to the measurement of described two-dimensional coordinate system initial point;
Coordinate transformation module, for obtaining the three-dimensional coordinate of frontier point after the frontier point coordinate of described 2-d plane graph is carried out coordinate transform;
Projection module, obtains three-dimensional graph for the three-dimensional coordinate projection according to described frontier point.
In conjunction with second aspect, in the first embodiment of second aspect, the process that described figure acquisition module obtains 2-d plane graph is:
Receive the 2-d plane graph of user's input or captured image is set obtain 2-d plane graph.
In conjunction with second aspect, in the second embodiment of second aspect, described solid figure judge module judges that whether described 2-d plane graph is the process of solid geometry figure and is:
The face length degree judging whether to exist in described 2-d plane graph dotted line, shade or adjacent surface not etc., is not then judge that described 2-d plane graph is solid geometry figure, no, then judge that described 2-d plane graph is not solid geometry figure.
In conjunction with second aspect, in the third embodiment of second aspect, described coordinate transformation module obtains the three-dimensional coordinate of frontier point process after the frontier point coordinate of described 2-d plane graph is carried out coordinate transform is:
Obtain two-dimentional three-view diagram and two-dimensional geometry structure according to frontier point coordinate, generate two dimension and calculate data;
Calculate data according to two dimension, exported by data input, data restore, data processing and data and be converted to three-dimensional space model;
The coordinate data of three-dimensional space model is obtained according to three-dimensional space model.
In conjunction with the third embodiment of second aspect, in the 4th kind of embodiment of second aspect, described coordinate transformation module calculates data according to two dimension, also comprises after being converted to the process of three-dimensional space model by data input, data restore, data processing and data output:
To represent that the three-dimensional coordinate transformation of chosen frontier point becomes the two-dimensional coordinate relative to display screen according to described three-dimensional space model;
By the coordinate determined with one after the other convert the coordinate obtained and compare until produce equal result;
Draw the three-dimensional coordinate corresponding to the two-dimensional points that display screen is selected.
A kind of geometry stereographic projection device provided by the invention and projecting method, by by simple geometry solid figure, after pattern analysis, process and conversion, project out the solid figure of 3-D effect, improve interactive teaching and learning ability, final help student understands three-dimensional graph, improves the space imagining ability of student.
Accompanying drawing explanation
In order to be illustrated more clearly in the technical scheme in the embodiment of the present invention, be briefly described to the accompanying drawing used required in embodiment or description of the prior art below, apparently, accompanying drawing in the following describes is only some embodiments of the present invention, for those of ordinary skill in the art, under the prerequisite not paying creative work, other accompanying drawing can also be obtained according to these accompanying drawings.
Fig. 1 is the process flow diagram of a kind of geometry stereographic projection method that an embodiment of the present invention provides;
Fig. 2 is the structural representation of a kind of geometry stereographic projection device that the another kind of embodiment of the present invention provides;
Fig. 3 is the 3-D solid structure schematic diagram that a kind of geometry stereographic projection method that an embodiment of the present invention provides obtains.
Embodiment
In order to make object of the present invention, technical scheme and advantage clearly understand, below in conjunction with drawings and Examples, the present invention is further elaborated.Should be appreciated that specific embodiment described herein only in order to explain the present invention, be not intended to limit the present invention.
In order to technical scheme of the present invention is described, be described below by specific embodiment.
An embodiment of the present invention provides a kind of geometry stereographic projection method, and as shown in Figure 1, projecting method comprises the following steps:
Step S101. obtains 2-d plane graph.
In this step, concrete, in one embodiment, receive the 2-d plane graph of user's input, the structure of 2-d plane graph can be drawn according to user on the touchscreen, obtain 2-d plane graph; In another embodiment, can identify captured image to obtain 2-d plane graph, camera is utilized to have the drawing paper of image to take to drafting, camera goes by the line weight on seizure paper and color the color and the thickness that regulate paintbrush in notebook computer drawing software, simultaneously, by color and the ratio of Intelligent Recognition drawing paper, regulate color and the ratio of drawing paper in drawing software, thus obtain editable image data.
Step S102. judges whether 2-d plane graph is solid geometry figure, is, then perform step S103, no, then return and perform step S101.
In this step, concrete, judge that whether 2-d plane graph is that the step of solid geometry figure is specially:
The face length degree judging whether to exist in 2-d plane graph dotted line, shade or adjacent surface not etc., is not then judge that 2-d plane graph is solid geometry figure, no, then judge that 2-d plane graph is not solid geometry figure.
Step S103. selects a point in the interface at 2-d plane graph place to be two-dimensional coordinate system initial point, draws the frontier point coordinate of 2-d plane graph according to the measurement of two-dimensional coordinate system initial point.
In this step, concrete, in the screen of display 2-d plane graph, select a point, using this initial point as two-dimensional coordinate system, and draw frontier point coordinate successively.
Step S104. obtains the three-dimensional coordinate of frontier point after the frontier point coordinate of 2-d plane graph is carried out coordinate transform.
In this step, concrete, comprise the following steps:
Step S201. obtains two-dimentional three-view diagram and two-dimensional geometry structure according to frontier point coordinate, generates two dimension and calculates data.
Step S202. calculates data according to two dimension, is exported be converted to three-dimensional space model by data input, data restore, data processing and data.
Step S203. obtains the coordinate data of three-dimensional space model according to three-dimensional space model.
Further, in another kind of embodiment, also comprise after step S202:
Step S204. will represent that the three-dimensional coordinate transformation of chosen frontier point becomes the two-dimensional coordinate relative to display screen according to described three-dimensional space model.
Step S205. by the coordinate determined with one after the other convert the coordinate obtained and compare until produce equal result;
Step S206. draws the three-dimensional coordinate corresponding to the two-dimensional points that display screen is selected.
When the three-dimensional coordinate of a needs point, the point selected by confirmation, and the two-dimentional displaing coordinate u determining selected point, v, calculate corresponding displaing coordinate u ', the v ' of the coordinate of the three-dimensional point corresponded wherein, and compare with the coordinate of selected point.
If u, v and u ', v ' would be identical, and corresponding three-dimensional coordinate returns to user via display or alternatively automatically inputs and obtains three-dimensional coordinate into call function.
If all points have all converted and to have compared and none is identical with this u, v point, then call an error routine and exited this subroutine.
According to the present invention, represent that a selected point in the two dimension display of a three-dimensional body is correlated with the three-dimensional coordinate corresponding to it with following method: determine the displaing coordinate of institute's reconnaissance and obtained three-dimensional point be transformed into their corresponding two-dimentional displaing coordinates until the displaing coordinate of the latter and selected point is identical.
Step S105. obtains three-dimensional graph according to the three-dimensional coordinate projection of frontier point.
In this step, concrete, according to three-dimensional coordinate, project out three-dimensional graph in space, shown in figure Fig. 3, is the rectangular parallelepiped three-dimensional picture obtained after to the projection of plane rectangular parallelepiped.
A kind of geometry stereographic projection method provided by the invention, by by simple geometry solid figure, after pattern analysis, process and conversion, project out the solid figure of 3-D effect, improve interactive teaching and learning ability, final help student understands three-dimensional graph, improves the space imagining ability of student.
The second embodiment of the present invention provides a kind of geometry stereographic projection device, and as shown in Figure 2, geometry stereographic projection device comprises:
Figure acquisition module 301, for obtaining 2-d plane graph;
Solid figure judge module 302, for judging whether 2-d plane graph is solid geometry figure, when judged result is no, drive pattern acquisition module works;
Coordinate obtaining module 303, for when the judged result of solid figure judge module is for being, select a point in the interface at 2-d plane graph place to be two-dimensional coordinate system initial point, draw the frontier point coordinate of 2-d plane graph according to the measurement of two-dimensional coordinate system initial point;
Coordinate transformation module 304, for obtaining the three-dimensional coordinate of frontier point after the frontier point coordinate of 2-d plane graph is carried out coordinate transform;
Projection module 305, obtains three-dimensional graph for the three-dimensional coordinate projection according to frontier point.
Concrete, for figure acquisition module 301, in one embodiment, receive the 2-d plane graph of user's input, the structure of 2-d plane graph can be drawn according to user on the touchscreen, obtain 2-d plane graph; In another embodiment, can identify captured image to obtain 2-d plane graph, camera is utilized to have the drawing paper of image to take to drafting, camera goes by the line weight on seizure paper and color the color and the thickness that regulate paintbrush in notebook computer drawing software, simultaneously, by color and the ratio of Intelligent Recognition drawing paper, regulate color and the ratio of drawing paper in drawing software, thus obtain editable image data.
Concrete, for solid figure judge module 302, solid figure judge module 302 judges that whether 2-d plane graph is the process of solid geometry figure and is:
The face length degree judging whether to exist in 2-d plane graph dotted line, shade or adjacent surface not etc., is not then judge that 2-d plane graph is solid geometry figure, no, then judge that 2-d plane graph is not solid geometry figure.
Concrete, coordinate transformation module 304 obtains the three-dimensional coordinate of frontier point process after the frontier point coordinate of 2-d plane graph is carried out coordinate transform is:
Obtain two-dimentional three-view diagram and two-dimensional geometry structure according to frontier point coordinate, generate two dimension and calculate data.
Calculate data according to two dimension, exported by data input, data restore, data processing and data and be converted to three-dimensional space model.
The coordinate data of three-dimensional space model is obtained according to three-dimensional space model.
Further, in another kind of embodiment, coordinate transformation module 304 calculates data according to two dimension, exports the process after being converted to three-dimensional space model also comprise by data input, data restore, data processing and data:
To represent that the three-dimensional coordinate transformation of chosen frontier point becomes the two-dimensional coordinate relative to display screen according to described three-dimensional space model.
By the coordinate determined with one after the other convert the coordinate obtained and compare until produce equal result;
Draw the three-dimensional coordinate corresponding to the two-dimensional points that display screen is selected.
When the three-dimensional coordinate of a needs point, the point selected by confirmation, and the two-dimentional displaing coordinate determining selected point, calculate the corresponding displaing coordinate of the coordinate of the three-dimensional point corresponded wherein, and compare with the coordinate of selected point.
If u, v and u ', v ' would be identical, and corresponding three-dimensional coordinate returns to user via display or alternatively automatically inputs and obtains three-dimensional coordinate into call function.
If all points have all converted and to have compared and none is identical with this u, v point, then call an error routine and exited this subroutine.
According to the present invention, represent that a selected point in the two dimension display of a three-dimensional body is correlated with the three-dimensional coordinate corresponding to it with following method: determine the displaing coordinate of institute's reconnaissance and obtained three-dimensional point be transformed into their corresponding two-dimentional displaing coordinates until the displaing coordinate of the latter and selected point is identical.
Above content is in conjunction with concrete preferred implementation further description made for the present invention, can not assert that specific embodiment of the invention is confined to these explanations.For general technical staff of the technical field of the invention; make some equivalent alternative or obvious modification without departing from the inventive concept of the premise; and performance or purposes identical, all should be considered as belonging to the scope of patent protection that the present invention is determined by submitted to claims.
Claims (10)
1. a geometry stereographic projection method, is characterized in that, described projecting method comprises the following steps:
A. 2-d plane graph is obtained;
B. judge whether described 2-d plane graph is solid geometry figure, is, then perform step C, no, then return execution steps A;
C. select a point in the interface at described 2-d plane graph place to be two-dimensional coordinate system initial point, draw the frontier point coordinate of described 2-d plane graph according to the measurement of described two-dimensional coordinate system initial point;
D. the three-dimensional coordinate of frontier point is obtained after the frontier point coordinate of described 2-d plane graph being carried out coordinate transform;
E. three-dimensional graph is obtained according to the three-dimensional coordinate projection of described frontier point.
2. projecting method as claimed in claim 1, it is characterized in that, described steps A is specially:
Receive the 2-d plane graph of user's input or identify to obtain 2-d plane graph to captured image.
3. projecting method as claimed in claim 1, is characterized in that, judges that whether described 2-d plane graph is that the step of solid geometry figure is specially in described step B:
The face length degree judging whether to exist in described 2-d plane graph dotted line, shade or adjacent surface not etc., is not then judge that described 2-d plane graph is solid geometry figure, no, then judge that described 2-d plane graph is not solid geometry figure.
4. projecting method as claimed in claim 1, it is characterized in that, described step D is specially:
Obtain two-dimentional three-view diagram and two-dimensional geometry structure according to frontier point coordinate, generate two dimension and calculate data;
Calculate data according to two dimension, exported by data input, data restore, data processing and data and be converted to three-dimensional space model;
The coordinate data of three-dimensional space model is obtained according to three-dimensional space model.
5. projecting method as claimed in claim 4, is characterized in that, described according to two dimension calculating data, also comprises after being converted to the step of three-dimensional space model by data input, data restore, data processing and data output:
To represent that the three-dimensional coordinate transformation of chosen frontier point becomes the two-dimensional coordinate relative to display screen according to described three-dimensional space model;
By the coordinate determined with one after the other convert the coordinate obtained and compare until produce equal result;
Draw the three-dimensional coordinate corresponding to the two-dimensional points that display screen is selected.
6. a geometry stereographic projection device, is characterized in that, described geometry stereographic projection device comprises:
Figure acquisition module, for obtaining 2-d plane graph;
Solid figure judge module, for judging whether described 2-d plane graph is solid geometry figure, when judged result is no, drives the work of described figure acquisition module;
Coordinate obtaining module, for when the judged result of described solid figure judge module is for being, select a point in the interface at described 2-d plane graph place to be two-dimensional coordinate system initial point, draw the frontier point coordinate of described 2-d plane graph according to the measurement of described two-dimensional coordinate system initial point;
Coordinate transformation module, for obtaining the three-dimensional coordinate of frontier point after the frontier point coordinate of described 2-d plane graph is carried out coordinate transform;
Projection module, obtains three-dimensional graph for the three-dimensional coordinate projection according to described frontier point.
7. projection arrangement as claimed in claim 6, is characterized in that, the process that described figure acquisition module obtains 2-d plane graph is:
Receive the 2-d plane graph of user's input or captured image is set obtain 2-d plane graph.
8. projection arrangement as claimed in claim 6, is characterized in that, described solid figure judge module judges that whether described 2-d plane graph is the process of solid geometry figure and is:
The face length degree judging whether to exist in described 2-d plane graph dotted line, shade or adjacent surface not etc., is not then judge that described 2-d plane graph is solid geometry figure, no, then judge that described 2-d plane graph is not solid geometry figure.
9. projection arrangement as claimed in claim 6, it is characterized in that, described coordinate transformation module obtains the three-dimensional coordinate of frontier point process after the frontier point coordinate of described 2-d plane graph is carried out coordinate transform is:
Obtain two-dimentional three-view diagram and two-dimensional geometry structure according to frontier point coordinate, generate two dimension and calculate data;
Calculate data according to two dimension, exported by data input, data restore, data processing and data and be converted to three-dimensional space model;
The coordinate data of three-dimensional space model is obtained according to three-dimensional space model.
10. projection arrangement as claimed in claim 9, it is characterized in that, it is characterized in that, described coordinate transformation module calculates data according to two dimension, also comprises after being converted to the process of three-dimensional space model by data input, data restore, data processing and data output:
To represent that the three-dimensional coordinate transformation of chosen frontier point becomes the two-dimensional coordinate relative to display screen according to described three-dimensional space model;
By the coordinate determined with one after the other convert the coordinate obtained and compare until produce equal result;
Draw the three-dimensional coordinate corresponding to the two-dimensional points that display screen is selected.
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| CN106910394B (en) * | 2017-02-21 | 2019-12-10 | 成都景中教育软件有限公司 | Dynamic geometric multi-coordinate system implementation method |
| CN106846435B (en) * | 2017-02-21 | 2020-05-26 | 成都景中教育软件有限公司 | Method for realizing dynamic geometric custom coordinate system based on parameters |
| CN108461003A (en) * | 2018-06-01 | 2018-08-28 | 太原工业学院 | A kind of AR geometry Teaching instrument and teaching method |
| CN109598992A (en) * | 2018-12-17 | 2019-04-09 | 广东小天才科技有限公司 | One kind is solved a problem reminding method and facility for study |
| CN112150049A (en) * | 2019-06-27 | 2020-12-29 | 厦门链石网络科技股份有限公司 | Stone plate boxing method based on application software |
| CN112150049B (en) * | 2019-06-27 | 2023-01-17 | 厦门链石网络科技股份有限公司 | Stone plate boxing method based on application software |
| CN110378841A (en) * | 2019-07-24 | 2019-10-25 | 百度在线网络技术（北京）有限公司 | Display processing method and device |
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