30.3.1 Chebyshev2D

Function

\[z=z_0+A_1T_1\left( x\right) +B_1T_1\left( y\right) +A_2T_2\left( x\right) +CT_1\left( x\right) T_1\left( y\right) +B_2T2\left( y\right) \]

Where:\(-1\leq x\leq 1\),\(-1\leq y\leq 1\),

\[T_n\left( x\right) =\cos \left( na\cos \left( x\right) \right) \]

\[T_n\left( y\right) =\cos \left( na\cos \left( y\right) \right) \]

Brief Description

Chebyshev Series Polynomials

Sample Curve

Parameters

Number: 6

Name:	Meanings:	Lower Bounds:	Upper Bounds:
\[z_0\]	z offset
\[A_1\]	height
\[A_2\]	height
\[B_1\]	height
\[B_2\]	height
\[C_1\]

Script Access

Function File

fitfunc\Chebyshev2D.fdf