::tclinterp::approximation

Commands

bezier

Finds values of Bezier function at x points.

bezier -n value -a value -b value -x list -y list

Parameters

-a value:

Start of the interval.

-b value:

End of interval.

-n value:

Order of Bezier function, must be zero or more.

-x list:

List of x values.

-y list:

List of y control points values of size n+1.

Return value

yi values of Bezier function at x points

cubicBetaSpline1d

Evaluates a cubic beta spline approximant.

cubicBetaSpline1d -beta1 value -beta2 value -t|x list -y list -ti|xi list

Parameters

-beta1 value:

The skew or bias parameter, beta1 = 1 for no skew or bias.

-beta2 value:

The tension parameter, beta2 = 0 for no tension.

-t list:

List of independent variable (t) values, -x is an alias.

-ti list:

List of independent variable interpolation (ti) values, -xi is an alias.

-y list:

List of dependent variable (y) values.

Return value

list of approximation values yi at ti points.

cubicBSpline1d

Evaluates a cubic B spline approximant.

cubicBSpline1d -t|x list -y list -ti|xi list

Parameters

-t list:

List of independent variable (t) values, -x is an alias.

-ti list:

List of independent variable interpolation (ti) values, -xi is an alias.

-y list:

List of dependent variable (y) values.

Return value

list of approximation values yi at ti points.

genBezier

Finds values of general Bezier function at specified t points.

genBezier -n value -x list -y list -t list

Parameters

-n value:

Order of Bezier function, must be zero or more.

-t list:

List of t points at which we want to evaluate Bezier function, best results are obtained within the interval [0,1]

-x list:

List of x control points values of size n+1.

-y list:

List of y control points values of size n+1.

Return value

dict with lists of xi and yi points at specified t points

---

Copyright (c) George Yashin