This book provides an elementary and directly applicable introduction to the computation of the spline functions, which are determined by the requirement of smooth and shape-preserving interpolation and the smoothing of measured or collected data.
Together with its compagnion volume this book presents a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided design (CAD) and computer graphics.
Inhaltsverzeichnis
1. Polynomial Interpolation 2. Polygonal Paths as Linear Spline Interpolants 3. Quadratic Spline Interpolants 4. Cubic Spline Interpolants 5. Polynomial Spline Interpolants of Degree Five and Higher 6. Rational Spline Interpolants 7. Exponential Spline Interpolants 8. Spline Interpolation and Smoothing in the Plane