Multidimensional Minimizing Splines Theory and Applications /

• Main Authors: Arcangéli, Rémi (Author), Silanes, María Cruz López de (Author), Torrens, Juan José (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2004.
• Subjects: Mathematics.; Earth sciences.; Approximation theory.; Partial differential equations.; Computer mathematics.; Approximations and Expansions.; Computational Mathematics and Numerical Analysis.; Earth Sciences, general.; Partial Differential Equations.

Audience: This book would be of interest to mathematicians, geologists, engineers and, in general, researchers and post graduate students involved in spline function theory, surface fitting problems or variational methods.

Table of Contents:

• (m, s)-Splines
• The spaces Xm, s
• Interpolating (m, s)-Splines
• Smoothing (m, s)-Splines
• (m,l,s)-Splines
• Dm-Splines Over a Bounded Domain of ?n
• Dm-Splines Over ?
• Discrete Dm-Splines
• Univariate Dm-Splines
• Applications of Discrete Dm-Splines
• Construction of Explicit Surfaces from Large Data Sets
• Approximation of Faulted Explicit Surfaces
• Fitting an Explicit Surface Along a Set of Curves
• Fitting an Explicit Surface Over an Open Set
• Approximation of Parametric Surfaces.