CN104282043A - Three-dimensional A-display control - Google Patents

Abstract

The invention relates to a drawing control, in particular to a three-dimensional A-display control and belongs to the field of graphs and images. According to the three-dimensional A-display control, images can be drawn in a three-dimensional space according to input of a user. The user can select multiple modes to carry out input of data, and multiple drawing modes are provided for selection of the user. The user can obtain the corresponding effect image after inputting data and selecting a display mode. The implementation mode of the three-dimensional A-display control is quite simple and provided in a dynamic link library mode, some function interfaces are provided, and a user can directly call functions to achieve three-dimensional display after using the dynamic link library.

Description

Three-dimensional A shows control

Technical field

This technology belongs to graph image field, and three-dimensional A is aobvious is a mapping control, can according to the drafting in three dimensions of user's input.

Background technology

As everyone knows, it is very loaded down with trivial details for directly utilizing opengl or D3D to draw in space, and shows control by three-dimensional A and foolproofly can draw out coordinate system and three-dimensional curve (curved surface) figure.

User can only look over from certain direction when observing three-dimensional scenic, so whole scene can not be seen completely clearly, show control user by three-dimensional A arbitrarily to rotate or amplify, reduce whole scene, can also drag picture position, such user just can the whole scene of omnibearing understanding.Simultaneously user rotate or convergent-divergent time smooth, do not glimmer.

User may need various ways input data and draw, and three-dimensional A shows control and provides three kinds of method for drafting: can upgrade whole picture by all data messages of disposable input (distance array, orientation array, amplitude array); Or each input single-point information (distance, orientation, amplitude), picture increases display or upgrades this point; Or the information (orientation, distance array, amplitude array) in the single orientation of each input, increases or upgrades the curve in this orientation of display.

Summary of the invention

The data that the present invention can be inputted by user are drawn quickly and easily in three dimensions, and can arbitrarily rotate, convergent-divergent view.

User only need by one group of matrix value input, and three-dimensional A shows control just according to distance X-orientation Z-amplitude Y, can draw out coordinate system and three-dimensional curve (curved surface) figure (being similar to the mesh function in matlab).

Under the whole image mode of renewal, user can provide data with the form of three one-dimension array, represent distance respectively, orientation and amplitude information.If distance number of sampling points is M, orientation number of sampling points is N, then the size of three arrays is identical is M*N, and the 1st element of each array, represents the distance of graphical pointv, orientation, amplitude respectively.

Under renewal one-site model, the data of user's input are distance, orientation, amplitude; Under renewal wall scroll orientation curve model, the pick of input number is orientation, and the data bit distance one-dimension array of user's input, amplitude one-dimension array, implication is the same.

Three-dimensional A shows control and provides three kinds of drafting modes, is respectively point, line, surface, both can be depicted as the curved surface of continuously smooth; May also be the display (though each orientation being the continuous curve of amplitude distance change) of many curves on azimuth axis; Also point diagram can be shown as.And three-dimensional A shows control also can provide seven colored renderings, generate corresponding color according to coordinate.

Accompanying drawing explanation

Figure mono-represents that three-dimensional A shows face schematic diagram.

Figure bis-represents that three-dimensional A shows line schematic diagram.

Figure tri-represents three-dimensional A aobvious some schematic diagram.

Embodiment

The embodiment that three-dimensional A shows control is very simple, and it provides in dynamic link library mode, and provides some function interfaces, user after containing this dynamic link library, direct call function.Below in conjunction with accompanying drawing and embodiment, the present invention will be further described.

First embodiment

Effect please refer to Fig. 1, and Fig. 1 depicts the drafting design sketch that the first example of the present invention is implemented.Implementation step is as follows:

1. select data.

2. select drawing mode to be curved surface pattern.

3. set coordinate system numerical value.

4. call corresponding API.

Three-dimensional A shows control and adopts D3D and C Plus Plus to write.Draw curved surface in first example and have employed Bezier curved fashion.Bezier curved fashion curve surface definition:

$P(u,v)=[B_{0,n}\left(u\right),B_{1,n}\left(u\right),\·\·\·\·,B_{m,n}\left(u\right)]\left[\begin{array}{cccc}{P}_{00}& P_{01}& \·\·\·& P_{0m}\\ P_{10}& P_{11}& \·\·\·& P_{1m}\\ \·\·\·& \·\·\·& \·\·\·& \·\·\·\\ P_{n0}& P_{n1}& \·\·\·& P_{\mathrm{nm}}\end{array}\right]\left[\begin{array}{c}{B}_{0,m}\left(v\right)\\ B_{1,m\left(v\right)}\\ \·\·\·\\ B_{n,m}\left(v\right)\end{array}\right]$

$P(u,v)=\underset{j=0}{\overset{m}{\mathrm{\Σ}}}\underset{k=0}{\overset{n}{\mathrm{\Σ}}}{P}_{j,k}{\mathrm{BEZ}}_{J,M}\left(v\right){\mathrm{BEZ}}_{k,n}\left(u\right)$

Wherein P _{, jk}specify (m+1) × the position at (n+1) individual reference mark. it is Bemstein basis function.Point range P is connected successively with line segment _ij(0,1,2 ... .., n, j=0,1,2 ..., m), adjacent 2 space lattices formed, are referred to as feature grid.The matrix representations of Bezier curved surface is:

In general practical application, n, m are not more than 4;

Four angle points of Bezier curved surface features grid are just in time four angle points of Bezier curved surface, i.e. P (0,0)=P ₀₀, P (1,0)=P _m0, P (0,1)=P _0n, family (1,1)=P _mn.Bezier curved surface features grid outermost one encloses four edges circle of summit definition Bezier curved surface.Transboundary the cutting of Bezier surface boundary vows that only arrange summit with the summit and adjacent on this border of definition relevant.

Program is exactly by Bezier curved surface, draws curved surface according to the data of user's input.

Second embodiment

Design sketch is with reference to Fig. 2, and implementation step is similar to example 1, and mainly going is not exactly trade-off curve pattern in second step model selection.Three-dimensional A shows control and carrys out curve plotting by Bezier curve.Bezier curve definitions is as follows:

The position vector P of given space n+1 point _i(i=0,1,2 ...., n), then on Bezier parametric line, the interpolation formula of each point coordinate is:

$P\left(t\right)=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{P}_i{B}_{i,n}\left(t\right),t\∈\left[\mathrm{0,1}\right]$

Wherein, P ₁form the characteristic polygon of this Bezier curve, B _i,nt () is n Bezier basis function:

$B_{i,n}\left(t\right)=C_n^i{t}^i{(1-t)}^{n-1}=\frac{n!}{i!(n-i)!}{t}^i{(1-t)}^{n-i},(t=\mathrm{0,1},\·\·\·\·\·,n)$

Three-dimensional A shows control and carries out interpolation according to the formula of Bezier curve, formation curve.

3rd embodiment

Design sketch is with reference to Fig. 3, and implementation step is similar to example 1, and mainly going is not exactly selected element pattern in second step model selection.The drafting of dot pattern mid point is drawn by the function of graphical pointv in D3D according to the position of the point of user's input.

Claims (8)

1. three-dimensional A shows control is a kind of mapping control, the data and curves drawn (curved surface) with distance, orientation, signal amplitude for coordinate.

2. can by one group of matrix value according to the control described in right 1, according to distance X-orientation Z-amplitude Y, draw out coordinate system and three-dimensional curve (curved surface) figure, and can be amplified picture by mouse roller, reduce, and rotate up and down about dragging control interface by left mouse button, right button can drag picture position.

3. the curve drawn according to the control described in right 1 have employed Bezier curve equation, the curve smoother drawn.

4. the curve drawn according to the control described in right 1 have employed Bezier curved surface formula, can draw the curved surface of smoother.

5. fast according to the ActiveX drafting speed image described in right 1, without Caton phenomenon.

6. it is characterized in that according to the control described in right 1:

1) show curve or curved surface continuous, rotate or convergent-divergent time smooth, do not glimmer;

2) background color and mesh color can be arranged;

3) there are grid and scale, and mark coordinate axis implication (as distance, orientation, amplitude);

4) can adjust the distance, orientation, amplitude axis maximin or scope arrange;

5) distance, orientation, amplitude axis drift angle can be set;

6) can draw or remove image.

7. there are three kinds of drawing practices according to the control described in right 1:

1) whole picture can be upgraded by all data messages of disposable input (distance array, orientation array, amplitude array);

2) each input single-point information (distance, orientation, amplitude), picture increases display or upgrades this point;

3) information (orientation, distance array, amplitude array) in the single orientation of each input, increases or upgrades the curve in this orientation of display;

And can select to draw point, line, surface Three models.

8. be dynamic link library mode according to the presentation mode of the control described in right 1, and provide some interfaces.