Cubic Hermite spline
SPLINE WHERE EACH PIECE IS A THIRD-DEGREE POLYNOMIAL SPECIFIED IN HERMITE FORM: THAT IS, BY ITS VALUES AND FIRST DERIVATIVES AT THE END POINTS OF THE CORRESPONDING DOMAIN INTERVAL
Cubic spline; Cubic Hermite curve; Cubic Hermite curves; Cardinal spline; Catmull-Rom spline; Hermite curve; Hermite curves; Cubic interpolation; Cubic hermite spline; Catmull–Rom spline; Cspline; Catmull-Rom; Cubic Hermite Polynomial; Draft:Cubic interpolation
In numerical analysis, a cubic Hermite spline or cubic Hermite interpolator is a spline where each piece is a third-degree polynomial specified in Hermite form, that is, by its values and first derivatives at the end points of the corresponding domain interval.