Tom Lyche – författare

This volume contains more than 50 refereed and edited full-length papers on the theory and applications of mathematical methods in computer aided geometric design and related areas.

These volumes contain carefully edited selections of papers that were presented at the Symposium on Trends in Approximation Theory, held in May 2000, and at the Oslo Conference on Mathematical Methods for Curves and Surfaces, held in July 2000. Both contain several invited surveys written by leading experts in the field, along with contributed research papers on the most current developments in approximation theory and in the theory and application of curves and surfaces. These books will be of great interest to mathematicians, engineers, and computer scientists.

These volumes contain carefully edited selections of papers that were presented at the Symposium on Trends in Approximation Theory, held in May 2000, and at the Oslo Conference on Mathematical Methods for Curves and Surfaces, held in July 2000. Both contain several invited surveys written by leading experts in the field, along with contributed research papers on the most current developments in approximation theory and in the theory and application of curves and surfaces. These books will be of great interest to mathematicians, engineers, and computer scientists.

After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them.

After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them.

To put the world of linear algebra to advanced use, it is not enough to merely understand the theory; This book provides precisely this type of supporting material for the textbook “Numerical Linear Algebra and Matrix Factorizations,” published as Vol.

To put the world of linear algebra to advanced use, it is not enough to merely understand the theory; This book provides precisely this type of supporting material for the textbook “Numerical Linear Algebra and Matrix Factorizations,” published as Vol.

This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Curves and Surfaces, held in Paris, France, in June 2014. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 32 revised full papers presented were carefully reviewed and selected from 39 submissions. The scope of the conference was on following topics: approximation theory, computer-aided geometric design, computer graphics and visualization, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, mesh generation, finite elements and splines, scattered data processing and learning theory, sparse and high-dimensional approximation, subdivision, wavelets and multi-resolution method.

This volume constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2016, held in Tønsberg, Norway, in June 2016. The topics range from mathematical theory to industrial applications.

This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods.

This book is dedicated to the memory of Ole-Johan Dahl who passed away in June 2002 at the age of 70, shortly after he had received, together with his colleague Kristen Nygaard, the ACM Alan M. Turing Award:"For ideas fundamental to the emergence of object-oriented programming, through their design of the programming languages Simula I and Simula 67. "This Festschrift opens with a short biography and a bibliography recollecting Ole-Johan Dahl's life and work, as well as a paper he wrote entitled: "The Birth of Object-Orientation: the Simula Languages. " The main part of the book consists of 14 scientific articles written by leading scientists who worked with Ole-Johan Dahl as students or colleagues. In accordance with the scope of Ole-Johan Dahl's work and the book's title, the articles are centered around object-orientation and formal methods.

TheSeventhInternationalConferenceonMathematicalMethodsforCurvesand SurfacestookplaceJune26-July 1,2008,inTonsberg,Norway. Theearlier conferences in the series took place in Oslo (1988),Biri (1991), Ulvik (1994), Lillehammer(1997),Oslo(2000),andTromso(2004). Theconferencegathered 165participants fromalmost30countries who presenteda total of129talks. Thisincludesnineinvitedtalksandsevenmini-symposia. Thisbookcontains28originalarticlesbasedontalkspresentedattheconf- ence. Thetopicsrangefrommathematicalanalysisofvariousmethodstoprac- calimplementationonmoderngraphicsprocessingunits. Thepapersre?ectthe newestdevelopmentsinthese?eldsandalsopointtothelatestliterature. The papershavebeensubjecttotheusualpeerreviewprocess,andwethankboth theauthorsandthereviewersfortheirhardworkandhelpfulcollaboration. Wewishtothankthosewhohavesupportedandhelpedorganizetheconf- ence. Firstandforemostitisapleasuretoacknowledgethegenerous?nancial support from the Department of Informatics and the Centre of Mathematics forApplications(CMA)attheUniversityofOslo,andtheResearchCouncilof Norway. WewouldalsoliketothankAndrewMcMurryforhishelpwithwith technicalmatters,andSaraMorkenforhelpwiththeregistration.November2009 Theeditors Organization Organizing Commitee and Editors MortenDaehlen UniversityofOslo,Norway MichaelFloater UniversityofOslo,Norway TomLyche UniversityofOslo,Norway Jean-LouisMerrien INSAdeRennes,France KnutMorken UniversityofOslo,Norway LarryL. Schumaker VanderbiltUniversity,USA Invited Speakers Jean-DanielBoissonnat,SophiaAntipolis,France MassimoFornasier,Linz,Austria TomHughes,Austin,USA JorgPeters,Gainesville,USA RagniPiene,Oslo,Norway RobertSchaback,Gottingen,Germany PeterSchroder,Caltech,USA JonathanShewchuk,Berkeley,USA JoachimWeickert,Saarland,Germany Mini-Symposia Organizers OlegDavydov,Glasgow,UK TorDokken,Oslo,Norway BinHan,Edmonton,Canada ChuckHansen,SaltLakeCity,USA RimvydasKrasauskas,Vilnius,Lithuania TrondKvamsdal,Trondheim,Norway CarlaManni,Rome,Italy Sponsoring Institutions DepartmentofInformatics,UniversityofOslo CentreofMathematicsforApplications,UniversityofOslo ResearchCouncilofNorway Table of Contents MMCS 2008 Partial Di?erential Equations for Interpolation and Compression of Surfaces ...1 Egil Bae and Joachim Weickert Construction of Rational Curves with Rational Rotation-Minimizing Frames via Mob .. ius Transformations...15 Michael Barton, ?Bert Juttl .. er, and Wenping Wang Fat Arcs for Implicitly De?ned Curves...26 Szilvia B' ela and Bert Juttl .. er Geometric Properties of the Adaptive Delaunay Tessellation...41 Tom Bobach, Alexandru Constantiniu, Paul Steinmann, and Georg Umlauf Quadrangular Parameterization for Reverse Engineering ...55 David Bommes, Tobias Vossemer, and Leif Kobbelt A Comparison of Three Commodity-Level Parallel Architectures: Multi-core CPU, Cell BE and GPU ...70 Andr' e Rigland Brodtkorb and Trond Runar Hagen Mean Distance from a Curve to Its Control Polygon...81 Jesu 's Carnicer and Jorge Delgado Compactly Supported Splines with Tension Properties on a Three-Direction Mesh ...

This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Curves and Surfaces, held in Avignon, in June 2010. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications".The 39 revised full papers presented together with 9 invited talks were carefully reviewed and selected from 114 talks presented at the conference. The topics addressed by the papers range from mathematical foundations to practical implementation on modern graphics processing units and address a wide area of topics such as computer-aided geometric design, computer graphics and visualisation, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, scattered data processing and learning theory and subdivision, wavelets and multi-resolution methods.

This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2012, held in Oslo, Norway, in June/July 2012. The 28 revised full papers presented were carefully reviewed and selected from 135 submissions. The topics range from mathematical analysis of various methods to practical implementation on modern graphics processing units. The papers reflect the newest developments in these fields and also point to the latest literature.

Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises. Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs.