CnvrtBezier2PowerCrv

Section: C Library Functions (3)
Updated: IRIT Version 6.0
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NAME

CnvrtBezier2PowerCrv()

SYNOPSIS

cagd_lib/cbzr_pwr.c:57

CagdCrvStruct *CnvrtBezier2PowerCrv(CagdCrvStruct *Crv)

DESCRIPTION

Converts the given curve from Bezier basis functions to a Power basis functions. Using:

         n
         __
  n      \     j-i n   j   j
B (t) = /  (-1)  ( ) ( ) t
  i      --        j   i
        j=i
                                            n-i
Which can be derived by expanding the (1-t)    term in bezier basis
function definition as:

          n-i
           __
      n-i  \  n-i      j
(1-t)   = / (   ) (-t)        using binomial expansion.
           --  j
          j=0

This routine simply take the weight of each Bezier basis function B(t) and spread it into the different power basis t^j function scaled by:

       j-i n   j
   (-1)   ( ) ( )
           j   i

PARAMETERS:

Crv: To convert into Power basis function representation.

FUNCTION RETURN VALUE

CagdCrvStruct *: Same geometry, but in the Power basis.

ORIGIN

This document was created by man2html, using the manual pages.
Time: 07:27:16 GMT, October 17, 2022