Geometric Continuity of Curves and Surfaces

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Sprache: Englisch

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Beschreibung

This book is written for students, CAD system users and software developers who are interested in geometric continuity¿a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information about spline curves and surfaces in order to explain simple algorithms. In textbooks on geometric design, one can find more details, more algorithms and more theory. This book teaches how various parts of the theory can be gathered together and turned into constructions of smooth curves and smooth surfaces of arbitrary topology.
The mathematical background needed to understand this book is similar to what is necessary to read other textbooks on geometric design; most of it is basic linear algebra and analysis. More advanced mathematical material is introduced using elementary explanations. Reading Geometric Continuity of Curves and Surfaces provides an excellent opportunity to recall and exercise necessary mathematical notions and it may be your next step towards better practice and higher understanding of design principles.

Über den Autor

Przemyslaw Kiciak was born in 1961 in Warsaw. He studied at the Warsaw University of Technology (Faculty SiMR-Cars and Working Machines) and then at the University of Warsaw (Faculty MIM-Mathematics, Informatics and Mechanics). Since 1992 he has been working at the University of Warsaw (Faculty MIM). His scientific interests are in the area of computer graphics, geometric design and numerical analysis. Przemyslaw Kiciak is the author of an open source software package called BSTools, which consists of a number of procedures (written in C) processing spline curves and surfaces. All figures in this book (except 6.8 and the authors photo) have been drawn or rendered using this package.

Inhaltsverzeichnis

Preface.- Notation.- Introduction.- Geometric continuity of curves.- Pairs of surface patches.- Compatibility conditions.- Filling polygonal holes.- Images of surface shape.- Bibliography.- Author's Biography.- Index.

Erscheinungsjahr:	2016
Fachbereich:	Allgemeines
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xv 233 S.
ISBN-13:	9783031014628
ISBN-10:	3031014626
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Kiciak, Przemys¿aw
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 191 x 14 mm
Von/Mit:	Przemys¿aw Kiciak
Erscheinungsdatum:	03.10.2016
Gewicht:	0,478 kg

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