# Компьютерная графика, осень 2011: Визуализация в 3D

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Computer Graphics Support Group

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3D

URL: http://www.school30.spb.ru/cgsg/cgc/

E-mail: CGSG@yandex.ru

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V1

V0

V2

V3E0

E1

E2

E3

E4

P0P1

V={V0, V1, V2, V3}={(x0,y0,z0), (x1,y1,z1),}

E*={#V*1, #V*2, #P*1, #P*2}

E0={0,1,0,-1}E1={1,3,1,-1}E2={3,2,1,-1}E3={1,2,0,1}E4={2,0,0,-1}

P*={#V*1, #V*2, #V*3 , #E*1 , #E*2 , #E*3}

P0={0,1,2,0,3,4}P1={1,3,2,1,2,3}

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V1

V2

V3

V4

V5

V0

triangle strip(0,1,2),(2,1,3),(2,3,4),(4,3,5)

V0

V1 V2

V3

V0

V1

V2

V3

V4

V0

V1 V2V3

V4

V5

triangle fan(0,1,2),(0,2,3),(0,3,4),(0,4,5)

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:

closeStructure();...

closeStructure();

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:

openStructure(Id);closeStructure();

setLocalTranformation(matrix_4x4);matrix_4x4 rotateX(angle);matrix_4x4 rotateY(angle);matrix_4x4 rotateZ(angle);matrix_4x4 scale(sx, sy, sz);matrix_4x4 translate(dx, dy, dz);

postRoot();

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:

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depth cueing ( ):

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Computer Graphics Support Group

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15Pixar Shutterbug

3 Orthographic views Parallel projection

Perspective View (no hidden lines) Depth cuing (hidden lines)

http://www.siggraph.org/education/materials/HyperGraph/shutbug.htm

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Computer Graphics Support Group

16Pixar Shutterbug

Colored Visible line determination (with facets)

http://www.siggraph.org/education/materials/HyperGraph/shutbug.htm

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17Pixar Shutterbug

http://www.siggraph.org/education/materials/HyperGraph/shutbug.htm

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18Pixar Shutterbug

Multiple lights Texture mapping

Bump mapping and shadow Reflection mapping

http://www.siggraph.org/education/materials/HyperGraph/shutbug.htm

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:Up[W] Down[W]

(x,y):if (y > Up[x]){SetPixel(x,y);Up[x] = y;

}if (y < Down[x]){SetPixel(x,y);Down[x] = y;

}

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20Backface culling

( CW, CCW)

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1. ( )2. 3.

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22Z-

- -pz = z (x,y) pz

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23 (list priority)

Z ( )

,

.

() - P: - Q, P z:

P Q x?

P Q y?

P Q ?

Q P ?

P Q (x,y) ?

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1

2

3

A

B

C

D P1

P2

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z z

zz

x x

xx

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( 20.11.2011) 3D

( ):

- : y=f(x,z)

2-3

2-3

z- , ( ) .