Why does the cscvn function of matlab have 42(n-1) coefficients?

Question

Ashkan Rigi 2021-11-6

编辑： David Goodmanson 2021-11-9

Hello every body. I can not understand why the function of cscvn of matlab have 4*2*(n-1) coefficients. n is the number of x valeus.

Answer 1

David Goodmanson 2021-11-9

编辑：David Goodmanson 2021-11-9

Hello Ashkan,

factor of (n-1) because n points --> (n-1) intervals, and the polynomials are defined on the intervals

factor of 4 because each polynomial is a cubic and has four coefficients

factor of 2 because each of x and y are defined separately and implicitly by a parameter that is related to arc length

Why does the cscvn function of matlab have 4*2*(n-1) coefficients?