[1] : The Free On-line Dictionary of Computing (27 SEP 03)

bezier curve
     
         a type of curve defined by mathematical formulae,
        used in computer graphics.  a curve with coordinates pu,
        where u varies from 0 at one end of the curve to 1 at the
        other, is defined by a set of n+1 "control points" xi,
        yi, zi for i = 0 to n.
     
        	pu = sum i=0..n xi, yi, zi  bi, n, u
     
        	bi, n, u = cn, i  u^i  1-u^n-i
     
        	cn, i = n/i/n-i
     
        a bezier curve or surface is defined by its control points,
        which makes it invariant under any affine mapping
        translation, rotation, parallel projection, and thus even
        under a change in the axis system.  you need only to transform
        the control points and then compute the new curve.  the
        control polygon defined by the points is itself affine
        invariant.
     
        bezier curves also have the variation-diminishing property.
        this makes them easier to split compared to other types of
        curve such as hermite or b-spline.
     
        other important properties are multiple values, global and
        local control, versatility, and order of continuity.
     
        what do these properties mean?
     
        1996-06-12
     
     
see also:
computer graphics affine mapping hermite b-spline 

Bezier >> B Words
Bezier, definition of term: Bezier
bezier_pag1.html

Curve >> C Words
Curve, definition of term: Curve
curve_pag1.html

Curve Ball >> C Words
Curve Ball, definition of term: Curve Ball
curve+ball_pag1.html

Learning Curve >> L Words
Learning Curve, definition of term: Learning Curve
learning+curve_pag1.html

Kinematic Curve >> K Words
Kinematic Curve, definition of term: Kinematic Curve
kinematic+curve_pag1.html

Bell Curve >> B Words
Bell Curve, definition of term: Bell Curve
bell+curve_pag1.html

Re: Bezier Curve Fitting
...A quadratic Bezier. curve which isn't a straight line can always be ... point so that the new curve fits exactly to the original curve. I. > ... ..
http://www.usenet-archive.de/comp.graphics.algorithms/74323-Re_Bezier_Curve_Fitting_.php, score=100, date indexed=December 10, 2005, 4:45 am

Calculating control points for bezier curve
...I believe that using a bezier curve (using the PolyBezier function in ... I would like to be able to draw a smooth curve graph with the line ... ..
http://www.usenet-archive.de/comp.graphics.algorithms/46830-Calculating_control_points_for_bezier_curve_.php, score=90, date indexed=December 15, 2005, 3:37 am

What is a Bezier Curve?
... ..
http://www.mediagods.com/glossary/What_is_a_Bezier_Curve.html, score=81, date indexed=December 13, 2005, 12:09 pm

MacBreakZ! X 3.6 - MacUpdate
...... that Bezier curve is history, too. This is the way the program is ... that's almost done creating that perfect FreeHand Bezier curve and ... ..
http://www.macupdate.com/info.php/id/6822, score=81, date indexed=January 27, 2006, 4:52 pm

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