Curves in 3D - 3D Math Primer for Graphics and Game Development - page 681

B 0 (t) = 1 − t B 0 (t) = (1 − t) 2

B 1 (t) = t B 1 (t) = 2(1 − t)t

B 2 (t) = t 2

B 0 (t) = (1 − t) 3 B 0 (t) = (1 − t) 4

B 1 (t) = 3t(1 − t) 2 B 1 (t) = 4t(1 − t) 3

B 2 (t) = 3t 2 (1 − t) B 2 (t) = 6t 2 (1 − t) 2

B 3 (t) = t 3 B 3 (t) = 4t 3 (1 − t)

B 4 (t) = t 4

Figure 13.13
Bernstein polynomials of degrees 1-4