Author: James R. SchiessPublisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 30
Book Description
Two Algorithms for Rational Spline Interpolation of Surfaces
Author: James R. SchiessPublisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 30
Book Description
The Algorithms for Rational Spline Interpolation of Surfaces
Author: Two Algorithms for Rational Spline Interpolation of Surfaces
Author: J. R. SchiessTwo Algorithms for Rational Spline Interpolation of Surfaces
Author: James R. SchiessPublisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 24
Book Description
Methods of Shape-preserving Spline Approximation
Author: Boris I. KvasovPublisher: World Scientific
ISBN: 9789810240103
Category : Mathematics
Languages : en
Pages : 360
Book 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.
An Algorithm for Surface Smoothing with Rational Splines
Author: James R. SchiessPublisher:
ISBN:
Category : Smoothing (Statistics)
Languages : en
Pages : 24
Book Description
One Dimensional Spline Interpolation Algorithms
Author: Helmuth SpäthPublisher: CRC Press
ISBN: 1439864713
Category : Computers
Languages : en
Pages : 416
Book Description
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.
Two Dimensional Spline Interpolation Algorithms
Author: Helmuth SpäthPublisher: CRC Press
ISBN: 1439864721
Category : Computers
Languages : en
Pages : 312
Book Description
These volumes present a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided deisgn (CAD) and computer graphics.
Algorithms for Rational Spline Surface Intersections
Author: George Anthony KriezisPublisher:
ISBN:
Category :
Languages : en
Pages : 526
Book Description
Curves and Surfaces
Author: Pierre-Jean LaurentPublisher: Academic Press
ISBN: 1483263878
Category : Mathematics
Languages : en
Pages : 535
Book Description
Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Other chapters consider a nonparametric technique for estimating under random censorship the amplitude of a change point in change point hazard models. This book discusses as well the algorithm for ray tracing rational parametric surfaces based on inversion and implicitization. The final chapter deals with the results concerning the norm of the interpolation operator and error estimates for a square domain. This book is a valuable resource for mathematicians.