Utilities

A natural cubic spline with continuous second derivative in the interior and zero second derivative at the end points. Differentiate at point t.

A natural cubic spline with continuous second derivative in the interior and zero second derivative at the end points. Integrate up to point t.

A natural cubic spline with continuous second derivative in the interior and zero second derivative at the end points. Integrate from point t1 up to point t2.

A natural cubic spline with continuous second derivative in the interior and zero second derivative at the end points. Interpolate at point t.

x value of intersection point between two cubic splines.

Derivative for data samples at point t with smoothing.

Linear Spline Interpolation Algorithm. Differentiate at point t.

Linear Spline Interpolation Algorithm. Integrate up to point t.

Linear Spline Interpolation Algorithm. Integrate from point t1 up to point t2.

Linear Spline Interpolation Algorithm. Interpolate at point t.

x value of intersection point between two linear splines.

Proximal (Nearest-neighbor) Interpolation Algorithm. Interpolate at point t.

Step Interpolation Algorithm. Interpolate at point t.