Bezier patches from network of Bezier curves

Bezier patches from network of Bezier curves

Post by Nicholas Yu » Sat, 09 Feb 2002 17:14:38



I have a collection of Bezier curves that forms a network of patches, I'd
like to find out the technique(s) used to generate the patches from those
Bezier curves network.

    +--+ represents a Bezier curve

    +
    |
    +     also represents a Bezier curve

    The following network (attempts with ASCII art) shows a 6 patches
network, 3 columns by 2 rows

    +--+--+--+
     |    |     |    |
    +--+--+--+
     |    |     |    |
    +--+--+--+

    Having tried out various modelling/animation software, they all seems
happy to allow a user to just move the end points and the software uses some
form of blending/blending-fuction to find the "inner/interior" four vertices
of each Bezier patch base of the 4 boundary curve and if necessary, the
neighbouring patches. It is this blending/interpolation algorithm/technique
I am keen to find out.

Cheers
--
Nicholas Yue
http://www.geocities.com/nicholas_yue

 
 
 

Bezier patches from network of Bezier curves

Post by fungu » Sat, 09 Feb 2002 19:41:48



> It is this blending/interpolation algorithm/technique
> I am keen to find out.

Have a look in your computer graphics book for "hermite"
curves. Basicaly they're just Beziers in disguise using
end points and tangent vectors instead of four control
points.

--
<\___/>
/ O O \
\_____/  FTB.

 
 
 

1. Bezier patches from network of Bezier curves

I have a collection of Bezier curves that forms a network of patches, I'd
like to find out the technique(s) used to generate the patches from those
Bezier curves network.

    +--+ represents a Bezier curve

    +
    |
    +     also represents a Bezier curve

    The following network (attempts with ASCII art) shows a 6 patches
network, 3 columns by 2 rows

    +--+--+--+
     |    |     |    |
    +--+--+--+
     |    |     |    |
    +--+--+--+

    Having tried out various modelling/animation software, they all seems
happy to allow a user to just move the end points and the software uses some
form of blending/blending-fuction to find the "inner/interior" four vertices
of each Bezier patch base of the 4 boundary curve and if necessary, the
neighbouring patches. It is this blending/interpolation algorithm/technique
I am keen to find out.

Cheers
--
Nicholas Yue
http://www.geocities.com/nicholas_yue

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