3d transformacii, homogeni transformacii i koristenje na graficki biblioteki

8/10/2019 3D Transformacii, Homogeni Transformacii i Koristenje Na Graficki Biblioteki

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CAD/CAM 38

6.1.5.

()

(

, ),

, , ..

.

,

[3 x 3]

.

. 21: .

, ,

0,

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w-. , 2-

Ph P2d .

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:

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.

:

():

, :

;


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CAD/CAM 39

( ):

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, :

;

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, :

(1)

,

(2)

.

. , , , () , . ,

.

. 21 ,

. AB A

.

:

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(2)

AB ,

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( ).

:

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(2)


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CAD/CAM 40

(3)

..

:

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6.2. 3-

2- 3-

(), . , 2-

.

2 -,

,

3- .

():


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CAD/CAM 41

, :

( ):

, :

: 2- , 3-

-, - z- .

x-:

y-:

z-:

, ..

, ,

.


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CAD/CAM 42

7.

CAD/CAM

CAD/CAM

2- 3-,

.

,

. ,

2- / 3-

.

, CAD/CAM.

,

, OpenGL DirectX.

. 22: OpenGL

DirectX

.

.. API (Application Program Interface) -

. ,

()

.

, ()

. ,

. ,

2- 3-

, :

(1) ,

(2)

,

(3) , .,

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CAD/CAM 43

7.1. OpenGL

OpenGL

( ).

OpenGL

, OpenGL

.. API (Application Program Interface)

.

3- .

150

2- / 3-

.OpenGL , 3-

- . OpenGL,

2- 3- , , , 3-.

OpenGL

(windows) .

, Mac OS, OS/2, Windows 95/98, Windows 2000, Windows

NT, Windows XP, Window OS, Linux, UNIX, .

OpenGL

X-window System, Win32, MacOS .

OpenGL .

,

OpenGL

. , OpenGL

,

.

-

. ,

OpenGL

, .

OpenGL C, C++. ,

. ,

, JAVA, Tcl, FORTRAN, Python, Perl, .

1992

Silicon Graphics Inc.

SGI.

, OpenGL ,


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CAD/CAM 44

.

OpenGL

UNIX, SGI

Windows UNIX. , 1994 ,

OpenGL , en

Microsoft Windows, Windows NT OS. ,

(high-end & mid-range WS,

vreme SGI IRIS),

(low-end WS) -

Microsoft Windows NT. , OpenGL

2- 3.

, (scientific

visualization), , (virtual reality).

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(, ,

),

(CAD, ,

.),

, 3- , .,

, , - ,

,

,

, .


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CAD/CAM 45

7.2. OpenGL

.

, 150

. . 22, OpenGL ,

. . 22()

- , . 22()

.

() ()

. 22: OpenGL .


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CAD/CAM 46

1: OpenGL.

GL_POINTS

GL_LINES ()

GL_LINE_STRIP

GL_LINE_LOOP

GL_TRIANGLES

GL_TRIANGLE_STRIP

.

GL_TRIANGLE_FAN

GL_QUADS

GL_QUAD_STRIP

GL_POLYGON

( )


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CAD/CAM 47

1, 2-

- OpenGL.

OpenGL,

. ,

, .

2, OpenGL

2- .

2: OpenGL.

glTranslatef(.1, .1, 0);

()

glScalef(2, 2, 1);

(

)

glRotatef(-45, 0, 0, 1);

glEnable(GL_NORMALIZE);

, -

OpenGL , .

,

, , CAD/CAM

.


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7.3. Microsoft DirectX

OpenGL, 1994

Microsoft

Windows NT , OpenGL ,

. Microsoft

Silicon Graphics Inc. OpenGL ,

, . Microsoft

OpenGL DirectX.

, , Microsoft

3- OpenGL -

API -

:

(1) UNIX OS Windows OS,

(2)

Windows NT 1993 Microsoft,

OS Windows NT.

, .. WinG

3- . , Microsoft 1995

RenderMorphics

3- API Reality Lab. , Microsoft

Direct3D DirectX

API . :

(1)DirectDraw- 2-,

(2)DirectInput- (joystick),

(3)DirectPlay- ,

(4)DirectSound- .

DirectX -

user-unfriendly,

. Microsoft ,

OpenGL

(Windows NT, ),

API DirectX.

OpenGL DirectX

,

.

,

(open source program) -

.

GLU, GLUT, MESA 3D, Cairo, .

3d transformacii, homogeni transformacii i koristenje na graficki biblioteki

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