CN106846435B - Method for realizing dynamic geometric custom coordinate system based on parameters - Google Patents
Method for realizing dynamic geometric custom coordinate system based on parameters Download PDFInfo
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- CN106846435B CN106846435B CN201710093197.1A CN201710093197A CN106846435B CN 106846435 B CN106846435 B CN 106846435B CN 201710093197 A CN201710093197 A CN 201710093197A CN 106846435 B CN106846435 B CN 106846435B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T11/00—2D [Two Dimensional] image generation
- G06T11/20—Drawing from basic elements, e.g. lines or circles
- G06T11/206—Drawing of charts or graphs
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- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
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Abstract
The invention discloses a method for realizing a dynamic geometric self-defined coordinate system based on parameters, which comprises the following steps: s1, establishing a reference coordinate system according to the dynamic geometric figure to obtain an origin coordinate of the reference coordinate system; s2, performing parameter annotation on the dynamic geometric figure data information according to the reference coordinate system to obtain original annotation parameters; s3, replacing the original point coordinate of the reference coordinate system and the determined coordinate axis with the original marking parameter according to the requirement of a user to generate a new coordinate system; s4, updating the dynamic geometric figure data information according to the new coordinate system to obtain new marking parameters; and S5, rotating the coordinate axis by an angle, and updating and replacing the labeling parameters of the geometric dynamic graph in real time according to the rotation of the coordinate axis. The coordinate system can be generated by self-defining according to the needs of students or the needs of graphs, the students can adjust the coordinate system in real time, the graphs can be conveniently understood and observed from different angles, the interest and the efficiency of solving problems of the students are improved, and the thinking of the students is expanded.
Description
Technical Field
The invention relates to a coordinate system implementation method, in particular to a parameter-based dynamic geometry custom coordinate system implementation method.
Background
Along with the development of science and technology, education and teaching are also continuously improved, the current teaching is no longer limited to teachers explaining students by drawing on a blackboard, and more teaching software (such as step-by-step reading machines and step-by-step home teaching machines) can draw on computers and mobile Ipads.
However, the coordinate systems in the existing drawing software are fixed, and a new coordinate system cannot be generated in a self-defined manner according to the actual needs of students and the needs of figures, and the coordinate system can be adjusted in real time.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, provides a method for realizing a dynamic geometric self-defined coordinate system based on parameters, and solves the problem that the coordinate system cannot be generated by self-definition according to the actual needs of students and the image needs in the prior art.
The purpose of the invention is realized by the following technical scheme: a method for realizing a dynamic geometry self-defined coordinate system based on parameters comprises the following steps:
s1, establishing a reference coordinate system according to the dynamic geometric figure to obtain an origin coordinate of the reference coordinate system;
s2, performing parameter annotation on the dynamic geometric figure data information according to the reference coordinate system to obtain original annotation parameters;
s3, replacing the original point coordinate of the reference coordinate system and the determined coordinate axis with the original marking parameter according to the requirement of a user to generate a new coordinate system;
and S4, updating the dynamic geometric figure data information according to the new coordinate system to obtain new marking parameters.
The reference coordinate system comprises a two-dimensional coordinate system consisting of an x axis and a y axis, or a three-dimensional coordinate system consisting of an x axis, a y axis and a z axis.
The step S2 includes the following substeps:
s21, determining the data type of the labeled dynamic geometric figure data information;
and S22, determining the marking parameters according to the data type of the dynamic geometric figure data information.
The marking parameters comprise the intersection number, each intersection coordinate, gravity center coordinate, side length, angle, motion trail and orientation vector of the dynamic geometric figure.
The dynamic geometric figures comprise two-dimensional dynamic geometric figures and three-dimensional dynamic geometric figures.
The step S3 includes the following substeps:
a1, one point coordinate (x) with maximum or minimum dynamic geometric figure intersection point0，y0) Or (x)0，y0，z0) Replacing original reference coordinate system origin coordinates (0, 0) or (0, 0, 0);
a2, overlapping the line with the longest side length or the shortest line at the position where the x axis, the y axis or the z axis is the most or the least of the intersection points of the dynamic geometric figures to form a new coordinate axis;
the step S3 further includes the following sub-steps:
b1, converting the coordinates (x) at the gravity center of the dynamic geometric figure1，y1) Or (x)1，y1，z1) Replacing original reference coordinate system origin coordinates (0, 0) or (0, 0, 0);
and B2, coinciding the x axis, the y axis or the z axis with the perpendicular bisector of the line with the longest side length or the shortest side length at the position with the maximum or minimum intersection point of the dynamic geometrical graph.
The method further includes step S5: and rotating the coordinate axis according to the orientation vector, and updating and replacing the labeling parameters of the geometric dynamic graph in real time according to the rotation of the coordinate axis.
The orientation vector is a direction vector which is larger than 0 degree and smaller than or equal to 90 degrees.
The invention has the beneficial effects that: a method for realizing a dynamic geometry custom coordinate system based on parameters can generate the coordinate system in a custom manner according to the needs of students or the needs of graphs, and the students can adjust the coordinate system in real time according to the habit of looking at the pictures by themselves, so that the graphs can be conveniently understood and observed from different angles, the interest of solving problems and the efficiency of solving problems of the students are improved, and the thinking of the students is expanded.
Drawings
FIG. 1 is a flow chart of a method.
Detailed Description
The technical solutions of the present invention are further described in detail below with reference to the accompanying drawings, but the scope of the present invention is not limited to the following.
As shown in fig. 1, a method for implementing a dynamic geometry custom coordinate system based on parameters includes the following steps:
s1, establishing a reference coordinate system according to the dynamic geometric figure to obtain an origin coordinate of the reference coordinate system;
s2, performing parameter annotation on the dynamic geometric figure data information according to the reference coordinate system to obtain original annotation parameters;
s3, replacing the original point coordinate of the reference coordinate system and the determined coordinate axis with the original marking parameter according to the requirement of a user to generate a new coordinate system;
and S4, updating the dynamic geometric figure data information according to the new coordinate system to obtain new marking parameters.
The reference coordinate system comprises a two-dimensional coordinate system consisting of an x axis and a y axis, or a three-dimensional coordinate system consisting of an x axis, a y axis and a z axis.
The step S2 includes the following substeps:
s21, determining the data type of the labeled dynamic geometric figure data information;
and S22, determining the marking parameters according to the data type of the dynamic geometric figure data information.
The marking parameters comprise the intersection number, each intersection coordinate, gravity center coordinate, side length, angle, motion trail and orientation vector of the dynamic geometric figure.
The dynamic geometric figures comprise two-dimensional dynamic geometric figures and three-dimensional dynamic geometric figures.
The step S3 includes the following substeps:
a1, one point coordinate (x) with maximum or minimum dynamic geometric figure intersection point0，y0) Or (x)0，y0，z0) Replacing original reference coordinate system origin coordinates (0, 0) or (0, 0, 0);
a2, overlapping the line with the longest side length or the shortest line at the position where the x axis, the y axis or the z axis is the most or the least of the intersection points of the dynamic geometric figures to form a new coordinate axis;
the step S3 further includes the following sub-steps:
b1, converting the coordinates (x) at the gravity center of the dynamic geometric figure1，y1) Or (x)1，y1，z1) Replacing original reference coordinate system origin coordinates (0, 0) or (0, 0, 0);
and B2, coinciding the x axis, the y axis or the z axis with the perpendicular bisector of the line with the longest side length or the shortest side length at the position with the maximum or minimum intersection point of the dynamic geometrical graph.
The method further includes step S5: and rotating the coordinate axis by an angle, and updating and replacing the labeling parameters of the geometric dynamic graph in real time according to the rotation of the coordinate axis.
The orientation vector is a direction vector which is larger than 0 degree and smaller than or equal to 90 degrees.
The foregoing is illustrative of the preferred embodiments of this invention, and it is to be understood that the invention is not limited to the precise form disclosed herein and that various other combinations, modifications, and environments may be resorted to, falling within the scope of the concept as disclosed herein, either as described above or as apparent to those skilled in the relevant art. And that modifications and variations may be effected by those skilled in the art without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (7)
1. A realization method of a dynamic geometry self-defined coordinate system based on parameters is characterized in that: it comprises the following steps:
s1, establishing a reference coordinate system according to the dynamic geometric figure to obtain an origin coordinate of the reference coordinate system;
s2, performing parameter annotation on the dynamic geometric figure data information according to the reference coordinate system to obtain original annotation parameters;
s3, replacing the original point coordinate of the reference coordinate system and the determined coordinate axis with the original marking parameter according to the requirement of a user to generate a new coordinate system;
the step S3 includes the following substeps:
a1, one point coordinate (x) with maximum or minimum dynamic geometric figure intersection point0，y0) Or (x)0，y0，z0) Replacing original reference coordinate system origin coordinates (0, 0) or (0, 0, 0);
a2, overlapping the line with the longest side length or the shortest line at the position where the x axis, the y axis or the z axis is the most or the least of the intersection points of the dynamic geometric figures to form a new coordinate axis;
and S4, updating the dynamic geometric figure data information according to the new coordinate system to obtain new marking parameters.
2. The method for implementing a dynamic geometry custom coordinate system based on parameters of claim 1, wherein the method comprises the following steps: the reference coordinate system comprises a two-dimensional coordinate system consisting of an x axis and a y axis, or a three-dimensional coordinate system consisting of an x axis, a y axis and a z axis.
3. The method for implementing a dynamic geometry custom coordinate system based on parameters of claim 1, wherein the method comprises the following steps: the step S2 includes the following substeps:
s21, determining the data type of the labeled dynamic geometric figure data information;
and S22, determining the marking parameters according to the data type of the dynamic geometric figure data information.
4. A method for implementing a dynamic geometry-based custom coordinate system based on parameters as claimed in claim 1 or 3, wherein: the marking parameters comprise the intersection number, each intersection coordinate, a gravity center coordinate, a side length, an angle, a motion track and an orientation vector of the dynamic geometric figure; the method further includes step S5: and rotating the coordinate axis according to the orientation vector, and updating and replacing the labeling parameters of the geometric dynamic graph in real time according to the rotation of the coordinate axis.
5. The method for implementing a dynamic geometry custom coordinate system based on parameters of claim 1, wherein the method comprises the following steps: the dynamic geometric figures comprise two-dimensional dynamic geometric figures and three-dimensional dynamic geometric figures.
6. The method of claim 4, wherein the method comprises: the substep of S3 may further be:
b1, converting the coordinates (x) at the gravity center of the dynamic geometric figure1，y1) Or (x)1，y1，z1) Replacing original reference coordinate system origin coordinates (0, 0) or (0, 0, 0);
and B2, coinciding the x axis, the y axis or the z axis with the perpendicular bisector of the line with the longest side length or the shortest side length at the position with the maximum or minimum intersection point of the dynamic geometrical graph.
7. The method of claim 4, wherein the method comprises: the orientation vector is a direction vector which is larger than 0 degree and smaller than or equal to 90 degrees.
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| CN112149294B (en) * | 2020-09-14 | 2023-06-20 | 南京信息工程大学 | Elastic weather grid design method |
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| US9286712B2 (en) * | 2013-03-15 | 2016-03-15 | Google Inc. | System and method for approximating cartographic projections by linear transformation |
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