Geometric Description of Images as Topographic Maps

Vicent Caselles, Pascal Monasse (Autoren)

Buch | Softcover

XVII, 192 Seiten

2009 | 2010
Springer Berlin (Verlag)
978-3-642-04610-0 (ISBN)

Infos

This book discusses the basic geometric contents of an image and presents a treedatastructuretohandleite?ciently.Itanalyzesalsosomemorphological operators that simplify this geometric contents and their implementation in termsofthe datastructuresintroduced.It?nallyreviewsseveralapplications to image comparison and registration, to edge and corner computation, and the selection of features associated to a given scale in images. Let us ?rst say that, to avoid a long list, we shall not give references in this summary; they are obviously contained in this monograph. A gray level image is usually modeled as a function de?ned in a bounded N domain D? R (typically N = 2 for usual snapshots, N=3formedical images or movies) with values in R. The sensors of a camera or a CCD array transform the continuum of light energies to a ?nite interval of values by means of a nonlinear function g. The contrast change g depends on the pr- ertiesofthesensors,butalsoontheilluminationconditionsandthere?ection propertiesofthe objects,andthoseconditionsaregenerallyunknown.Images are thus observed modulo an arbitrary and unknown contrast change.

Inhalt

The Tree of Shapes of an Image.- Grain Filters.- A Topological Description of the Topographic Map.- Merging the Component Trees.- Computation of the Tree of Shapes of a Digital Image.- Computation of the Tree of Bilinear Level Lines.- Applications.

Produkt-Details

• Erscheint lt. Verlag: 1.12.2009
• Reihe/Serie: Lecture Notes in Mathematics
• Zusatzinfo: XVII, 192 p.
• Verlagsort: Berlin
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 367 g
• Themenwelt: Informatik ► Theorie / Studium ► Kryptologie
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: 68U10, 94A08, 05C05 • algorithm • algorithms • combinatorics • data structure • Graph • Image Processing • Information • Information and Communication, Circuits • level set • Mathematical Morphology • Morse Theory • Node • SiM • Topographic Map • Topology
• ISBN-10: 3-642-04610-X / 364204610X
• ISBN-13: 978-3-642-04610-0 / 9783642046100
• Zustand: Neuware