Interpolating Cubic Splines (Progress in Computer Science and Applied Logic (PCS)) [Hardcover]

Gary D. Knott (Author)

Book Description

Publication Date: December 28, 1999 | ISBN-10: 0817641009 | ISBN-13: 978-0817641009 | Edition: 1

Spline modeling affects a number of fields, including statistics, computer graphics, CAD programming and other areas of applied mathematics. This book presents a detailed examination of cubic splines which includes a significant amount of original material not found elsewhere in the literature. Several C programs with interesting computational approaches supply the reader with a number of useful tools. The clear and concise presentation includes many interesting exercises.

Editorial Reviews

Review

"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. 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 n-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."

--Zentralblatt Math

Product Details

• Hardcover: 240 pages
• Publisher: Birkhäuser Boston; 1 edition (December 28, 1999)
• Language: English
• ISBN-10: 0817641009
• ISBN-13: 978-0817641009
• Product Dimensions: 9.5 x 6.4 x 0.7 inches
• Shipping Weight: 1.2 pounds
• Amazon Best Sellers Rank: #2,656,261 in Books (See Top 100 in Books)

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