TY  - BOOK
AU  - Dey,Tamal K.
TI  - Curve and surface reconstruction: algorithms with mathematical analysis 
T2  - Cambridge monographs on applied and computational mathematics
SN  - 9780511546860 (ebook)
AV  - QA565 .D49 2007
U1  - 516.3/62 22
PY  - 2007///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Curves on surfaces
KW  - Mathematical models
KW  - Surfaces
KW  - Surfaces, Models of
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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 its 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
UR  - https://doi.org/10.1017/CBO9780511546860
ER  -