Chebyshev2D

Contents 1 Function 2 Brief Description 3 Sample Curve 4 Parameters 5 Script Access 6 Function File

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:
z0	z offset
A1	height
A2	height
B1	height
B2	height
C1

Script Access

Function File

fitfunc\Chebyshev2D.fdf