Example 7.  Find composite Bézier curve for the data given below.

[Graphics:Images/BezierCurveMod_gr_215.gif]

Solution 7.

For each Bézier curve, the eight numbers [Graphics:../Images/BezierCurveMod_gr_216.gif] are entered in a row vector, i.e.
the first one is [Graphics:../Images/BezierCurveMod_gr_217.gif].  

 

 

[Graphics:../Images/BezierCurveMod_gr_218.gif]
[Graphics:../Images/BezierCurveMod_gr_219.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_220.gif]

[Graphics:../Images/BezierCurveMod_gr_221.gif]



[Graphics:../Images/BezierCurveMod_gr_222.gif]

[Graphics:../Images/BezierCurveMod_gr_223.gif]

[Graphics:../Images/BezierCurveMod_gr_224.gif]

[Graphics:../Images/BezierCurveMod_gr_225.gif]


Graph all the curve, which is stored in the vector  [Graphics:../Images/BezierCurveMod_gr_226.gif]  for  [Graphics:../Images/BezierCurveMod_gr_227.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_228.gif]


[Graphics:../Images/BezierCurveMod_gr_229.gif]

[Graphics:../Images/BezierCurveMod_gr_230.gif]
[Graphics:../Images/BezierCurveMod_gr_231.gif]
[Graphics:../Images/BezierCurveMod_gr_232.gif]
[Graphics:../Images/BezierCurveMod_gr_233.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004