__ n+1 n __ n+1 n Bézier(n,t)= ❯ w (1 - t) B (t) + ❯ w t B (t) ‾‾ i=0 i i ‾‾ i=0 i i __ n+1 k-i k __ n+1 i+1 k = ❯ w ─── B (t) + ❯ w ─── B (t), where k = n + 1 ‾‾ i=0 i k i ‾‾ i=0 i k i+1 __ n+1 k-i k __ n+1 i k = ❯ w ─── B (t) + ❯ p ─ B (t) ‾‾ i=0 i k i ‾‾ i=0 i-1 k i __ n+1 ╭ k-i i ╮ k = ❯ │ w ─── + p ─ │ B (t) ‾‾ i=0 ╰ i k i-1 k ╯ i __ n+1 k i = ❯ (w (1-s) + p s) B (t), where s = ─ ‾‾ i=0 i i-1 i k