Piecewise Parameterization
Piecewise parameterization is the process of parameterizing a curve that is not everywhere differentiable but is piecewise differentiable.
Contents
Description
Consider a rectangle formed by [a,b] x [c,d].
The four faces of this rectangle can be defined as four separate curves like:
C1 : r1(t) = <t,c> for a≤t≤b
C2 : r2(t) = <b,t> for c≤t≤d
-C3 : r3(t) = <t,d> for a≤t≤b
-C4 : r4(t) = <a,t> for c≤t≤d