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23 2011

NURBS : 30

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, CAD ( ), CAM ( ). 1950- . ( ) MIT ( , ) , . , .

Citroen DS

. 1. Citron DS

Citron DS ( 1955-1975), . , (Paul de Casteljau), Citron. , . 1974 ., 1959 ., , (Pierre Bézier). , , .

( , ) , ? , (bilinear patch):

. 2.

(ruled surface), , :

. 3.

(Steven Coons), MIT, , (Coons patch):

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1967 . Surfaces for Computer-Aided Design in Space Form [Coons 1967] . . . , (Ivan Sutherland), Sketchpad, .

, . , 1960- . UNISURF Renault.

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1962 ., Citron , , . , .

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, , , , , . , (, ). , .

, , . , ظ [Schoenberg 1946]. ( ) , . On calculating with B-Splines, (1972) The numerical evaluation of B-Splines .

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B- , , , . B- (knots), .

NURBS

NURBS (Ken Versprille), - [Versprille 1975].

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-, , . , NURBS . Computervision CADDS 3. ( ) , , , NURBS ( ) .

Computervision, NURBS. , , , : - - 0 1 ! , NURBS, . !

2005 CAD Society, , NURBS. COFES, .

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SDRC

1967 . () SDRC (Structural Dynamics Research Corporation). , SDRC . CAE ( ) CAD (), I-DEAS, , - . I-DEAS GEOMOD.

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 ,  GeomWare,

. 10. , GeomWare, " NURBS"

I-DEAS , 2001 . EDS SDRC, NLib (. ).

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SMLib , . NLib (NURBS Library), GeomWare. NLib NURBS. NLib [Piegl 1997], GeomWare. NLib 85 , .

NLib - GSNlib (General Surface NURBS Library), , , NURBS. IntegrityWare GSLib Robert McNeel & Associates ( Rhino 3D) Ford Motor Company.

(subdivision surfaces) () , (base mesh), . , . - (Chaikin), . , , . , . (corner cutting) 1:2:1 . , .

. 11.

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, . (Doo) (Sabin) B- ( ) [Doo 1978]. , 3, 4, 5 ( ) B-. , . , . , , , . . , , , :

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(Catmull) (Clark) B- ( - B- - ) [Catmull 1978]. , , ( B-). . :

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NURBS?

NURBS ? , , . NURBS . NURBS . NURBS , , . NURBS (// , , ), . NURBS , , , , [Piegl 1991].

NURBS . , : , NURBS- , 38 (, , ). , NURBS. ( ) . , ( ) NURBS.

, NURBS . ...

T-

T- - , B- (NURBS). T- NURBS , NURBS- , T- T- ( , ).

T-

. 14. -

T- NURBS ( G2- ).

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, , T-Splines Autodesk. -. Autodesk, . - STEP?

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id 8868     13 2012, 23:12
 


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