Interpolating Cubic Splines (Progress in Computer Science and Applied Logic (PCS))
Editorial Reviews
Book Description
Spline functions arise in a number of fields: statistics, computer graphics, programming, computer-aided design technology, numerical analysis, and other areas of applied mathematics.
Much work has focused on approximating splines such as B-splines and Bezier splines. In contrast, this book emphasizes interpolating splines. Almost always, the cubic polynomial form is treated in depth.
{\it Interpolating Cubic Splines} covers a wide variety of explicit approaches to designing splines for the interpolation of points in the plane by curves, and the interpolation of points in 3-space by surfaces. These splines include various estimated-tangent Hermite splines and double-tangent splines, as well as classical natural splines and geometrically-continuous splines such as beta-splines and nu-splines.
A variety of special topics are covered, including monotonic splines, optimal smoothing splines, basis representations, and exact energy-minimizing physical splines. An in-depth review of the differential geometry of curves and a broad range of exercises, with selected solutions, and complete computer programs for several forms of splines and smoothing splines, make this book useful for a broad audience: students, applied mathematicians, statisticians, engineers, and practicing programmers involved in software development in computer graphics, CAD, and various engineering applications.
Interpolating Cubic Splines (Progress in Computer Science and Applied Logic (PCS)),Gary D. Knott,Birkhauser,0817641009,Algebra - Intermediate,Applied,Approximation Theory,Computer Books: General,Computer Graphics - General,Computers,Interpolation,Mathematics,Programming - Software Development,Software Design,Spline theory,Computers / Computer Science,computer-aided design
Books Info:
Recommended Books