Kiciak, Przemysław.
Geometric Continuity of Curves and Surfaces [electronic resource] / by Przemysław Kiciak. - 1st ed. 2017. - XV, 233 p. online resource. - Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, 2469-4223 . - Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, .
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.
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.
9783031025907
10.1007/978-3-031-02590-7 doi
Mathematics.
Image processing--Digital techniques.
Computer vision.
Mathematics.
Computer Imaging, Vision, Pattern Recognition and Graphics.
QA1-939
510
Geometric Continuity of Curves and Surfaces [electronic resource] / by Przemysław Kiciak. - 1st ed. 2017. - XV, 233 p. online resource. - Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, 2469-4223 . - Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, .
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.
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.
9783031025907
10.1007/978-3-031-02590-7 doi
Mathematics.
Image processing--Digital techniques.
Computer vision.
Mathematics.
Computer Imaging, Vision, Pattern Recognition and Graphics.
QA1-939
510