Geometric processing of CAD data and meshes as input of integral equation solvers [Elektronische Ressource] / by Maharavo Randrianarivony

GEOMETRIC PROCESSING OF CADDATA AND MESHES AS INPUT OFINTEGRAL EQUATION SOLVERSbyMaharavo RandrianarivonyJune 25, 2006Supervisor: Prof. Dr. Guido BrunnettCOMPUTER SCIENCE FACULTY¨TECHNISCHE UNIVERSITAT CHEMNITZiiiiiAcknowledgmentI would like to express my sincere appreciation to my advisor Prof.Guido Brunnett for his guidance during the preparation of this thesis. The fre-quent discussions with him have tangibly improved my knowledge in CAGD.He has helped me a lot during the conception of most geometric approaches es-pecially about decomposition of CAD surfaces into four-sided subsurfaces andtreatment of diffeomorphisms by means of transfinite interpolations using Coonsand Gordon patches. Special acknowledgment is granted to him for taking thetime to correct my ideas as well as my misspellings in several former drafts ofsome chapters. The financial assistance that he offered me is also very muchappreciated.IamalsogratefultoProf. ReinholdSchneiderwhohasdeveloppedhisexplanations of the required surface representations for his mesh-free numericalmethods of integral equations. Thanks are equally due to Dr. Helmut Harbrechtwith whom I have had several discussions which greatly helped me to have adeeper insight about the wavelet Galerkin scheme.Special thanks go to the Computer Graphic Group which has pro-vided me with computing equipments that helped me implement the proposedapproaches.