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Geometric Description of Images as Topographic Maps (Paperback, 2010 ed.)
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Geometric Description of Images as Topographic Maps (Paperback, 2010 ed.)
Series: Lecture Notes in Mathematics, 1984
Expected to ship within 10 - 15 working days
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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.
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