计算机图形学问题（计算）

2024-12-27 10:37:56

推荐回答（1个）

回答1：

(1)
B(t)=((1-t)^3)P0+3t((1-t)^2)P1+3(t^2)(1-t)P2+(t^3)P3
B(0)=P0=(0,0,0)
B(1/3)=(8/27)P0+(4/9)P1+(2/9)P2+(1/27)P3
=(0,0,0)+(4/9,4/9,4/9)+(4/9,-2/9,-2/9)+(1/9,0,0)
=(1,2/9,2/9)
B(2/3)=(1/27)P0+(2/9)P1+(4/9)P2+(8/27)P3
=(0,0,0)+(2/9,2/9,2/9)+(8/9,-4/9,-4/9)+(8/9,0,0)
=(2,-2/9,-2/9)

(2)
P(6，15)===> (6,15)+(-4,20)=(2,35)
===> (2*(1/4),35*3)=(1/2, 105)