Example 7.  Find composite Bézier curve for the data given below.
[Graphics:Images/BezierCurveMod_gr_263.gif]

Solution 7.

For each Bézier curve, the eight numbers [Graphics:../Images/BezierCurveMod_gr_264.gif] are entered in a row vector, i.e.
the first one is [Graphics:../Images/BezierCurveMod_gr_265.gif].  

[Graphics:../Images/BezierCurveMod_gr_266.gif]

[Graphics:../Images/BezierCurveMod_gr_267.gif]

Construct the four Bézier pieces, i.e. sets of parametric equations, and store them in the table P.  
Print out the four Bézier pieces [Graphics:../Images/BezierCurveMod_gr_268.gif]

[Graphics:../Images/BezierCurveMod_gr_269.gif]
[Graphics:../Images/BezierCurveMod_gr_270.gif] [Graphics:../Images/BezierCurveMod_gr_271.gif] [Graphics:../Images/BezierCurveMod_gr_272.gif] [Graphics:../Images/BezierCurveMod_gr_273.gif]

Graph all the curve, which is stored in the vector  [Graphics:../Images/BezierCurveMod_gr_274.gif]  for  [Graphics:../Images/BezierCurveMod_gr_275.gif].   
Notice.  The command  Evaluate[P]  must be used in order for the "functions" to be sent to the graphics subroutine.
An alternate command that will work is  Release[P].  

[Graphics:../Images/BezierCurveMod_gr_276.gif]

[Graphics:../Images/BezierCurveMod_gr_277.gif]

[Graphics:../Images/BezierCurveMod_gr_278.gif]

[Graphics:../Images/BezierCurveMod_gr_279.gif]

[Graphics:../Images/BezierCurveMod_gr_280.gif]

[Graphics:../Images/BezierCurveMod_gr_281.gif]

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003