How Long to Read Methods of Shape-Preserving Spline Approximation

How Long Does it Take to Read Methods of Shape-Preserving Spline Approximation?

It takes the average reader 6 hours and 4 minutes to read Methods of Shape-Preserving Spline Approximation by Boris I Kvasov

Assuming a reading speed of 250 words per minute. Learn more

Description

This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces. Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design. Contents:Interpolation by Polynomials and Lagrange SplinesCubic Spline InterpolationAlgorithms for Computing 1-D and 2-D Polynomial SplinesMethods of Monotone and Convex Spline InterpolationMethods of Shape-Preserving Spline InterpolationLocal Bases for Generalized Tension SplinesGB-Splines of Arbitrary OrderMethods of Shape Preserving Local Spline ApproximationDifference Method for Construction Hyperbolic Tension SplinesDiscrete Generalized Tension SplinesMethods of Shape Preserving Parametrization Readership: Engineers, physicists, researchers and students in applied mathematics. Keywords:Lagrange Splines;Cubic Splines;Monotone and Convex Spline Interpolation;Shape-Preserving Spline Interpolation;GB-Splines and Recursive Algorithms for GB-Splines;Shape-Preserving Local Spline Approximation;Discrete Generalized Tension Splines;Differential Multipoint Boundary Value Problem;Difference Method for Constructing Hyperbolic Tension Splines;Shape-Preserving ParametrizationReviews: “The book is well written, and I can recommend it to anyone interested in shape-preserving spline methods.” Mathematical Reviews

How long is Methods of Shape-Preserving Spline Approximation?

Methods of Shape-Preserving Spline Approximation by Boris I Kvasov is 356 pages long, and a total of 91,136 words.

This makes it 120% the length of the average book. It also has 111% more words than the average book.

How Long Does it Take to Read Methods of Shape-Preserving Spline Approximation Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 18 minutes to read Methods of Shape-Preserving Spline Approximation aloud.

What Reading Level is Methods of Shape-Preserving Spline Approximation?

Methods of Shape-Preserving Spline Approximation is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Methods of Shape-Preserving Spline Approximation?

Methods of Shape-Preserving Spline Approximation by Boris I Kvasov is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Methods of Shape-Preserving Spline Approximation by Boris I Kvasov on Amazon click the button below.