__ k                                                                                            k-i     i
Bézier(k,t) = ❯      \underset binomial term\underbrace\binomki  · \ \underset polynomial term\underbrace(1-t)     · t    · \ \underset new
              ‾‾ i=0
                                                ╭ (k-i)  · w  + i  · w    ╮
                                                │           i         i-1 │
                              weights\underbrace│ ─────────────────────── │  ,  with k = n+1  and w   =0 when i = 0
                                                ╰            k            ╯                        i-1