Buch, Englisch, Band 23, 230 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 380 g
Reihe: Cambridge Monographs on Applied and Computational Mathematics
Algorithms with Mathematical Analysis
Buch, Englisch, Band 23, 230 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 380 g
Reihe: Cambridge Monographs on Applied and Computational Mathematics
ISBN: 978-0-521-17518-0
Verlag: Cambridge University Press
• Provides fundamentals of point cloud data processing
• Algorithms with correctness proofs are presented
• Many figures, a set of exercises, and a brief history for each chapter
Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and ist connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
- Technische Wissenschaften Sonstige Technologien | Angewandte Technik Signalverarbeitung, Bildverarbeitung, Scanning
- Mathematik | Informatik Mathematik Mathematische Analysis
- Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
- Mathematik | Informatik EDV | Informatik Informatik Bildsignalverarbeitung
Weitere Infos & Material
1. Basics
2. Curve reconstruction
3. Surface samples
4. Surface reconstruction
5. Undersampling
6. Watertight reconstructions
7. Noisy samples
8. Noise and reconstruction
9. Implicit surface based reconstructions
10. Morse theoretic reconstructions.
