Multidimensional Minimizing Splines

Theory and applications
Author(s) Juan José TorrensMaria Cruz Lopez De SilanesRemi Arcangéli
Sciences, Mathématiques
Monograph on theory of Dm-splines and some of its applications (D).


This book is devoted to the theory of Dm-splines and some of its applications to the approximation of surfaces. Part of it is to describe an abstract theory of minimizing splines which includes the Duchon (four chapters).The rest of the book focuses on several fitting problems which arise in oil research and geophysical sciences, paying special attention to the approximation of faulted explicit surfaces. Through detailed theoretical discussions and numerical examples, the authors show how what are called discrete Dm-splines can be satisfactorily used to solve these problems.


Rémi Arcangéli (Retired Professor, University of Pau, France).

María Cruz López De Silanes (Researcher in the Numerical Analysis and Applications Research Group, Professor at the University of Zaragoza, Applied Mathematics Department, Spain).

Juan José Torrens (Doctor of Applied Mathematics, Professor at the Public University of Navarre, Pamplona, Spain).

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Published on  October 18, 2017
Updated on January 22, 2021