000 02702nam a22003978i 4500
001 CR9780511546860
003 UkCbUP
005 20200124160235.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090508s2007||||enk o ||1 0|eng|d
020 _a9780511546860 (ebook)
020 _z9780521863704 (hardback)
020 _z9780521175180 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA565
_b.D49 2007
082 0 0 _a516.3/62
_222
100 1 _aDey, Tamal K.
_q(Tamal Krishna),
_d1964-
_eauthor.
245 1 0 _aCurve and surface reconstruction :
_balgorithms with mathematical analysis /
_cTamal K. Dey.
246 3 _aCurve & Surface Reconstruction
264 1 _aCambridge :
_bCambridge University Press,
_c2007.
300 _a1 online resource (xiii, 214 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge monographs on applied and computational mathematics ;
_v23
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _g1.
_tBasics --
_g2.
_tCurve reconstruction --
_g3.
_tSurface samples --
_g4.
_tSurface reconstruction --
_g5.
_tUndersampling --
_g6.
_tWatertight reconstructions --
_g7.
_tNoisy samples --
_g8.
_tNoise and reconstruction --
_g9.
_tImplicit surface-based reconstructions --
_g10.
_tMorse theoretic reconstructions.
520 _aMany 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.
650 0 _aCurves on surfaces
_xMathematical models.
650 0 _aSurfaces
_xMathematical models.
650 0 _aSurfaces, Models of.
776 0 8 _iPrint version:
_z9780521863704
830 0 _aCambridge monographs on applied and computational mathematics ;
_v23.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511546860
999 _c517977
_d517975