03/26/2002
15-462 Graphics I
24
Barycentric Coordinates in 1D
•Linear
interpolation
–p(t)
= (1 – t)p1 + t p2,
0 · t ·
1
–p(t)
= a p1 + b p2 where a
+ b = 1
–p
is between p1 and p2 iff 0 ·
a, b
· 1
•Geometric
intuition
–Weigh
each vertex by ratio of distances from ends
• a, b are called barycentric coordinates
p1
p
p2