By Vicent Caselles
This booklet discusses the elemental geometric contents of a picture and provides a treedatastructuretohandleite?ciently.Itanalyzesalsosomemorphological operators that simplify this geometric contents and their implementation in termsofthe datastructuresintroduced.It?nallyreviewsseveralapplications to photo comparability and registration, to aspect and nook computation, and the choice of good points linked to a given scale in photographs. allow us to ?rst say that, to prevent a protracted checklist, we will now not supply references during this precis; they're evidently contained during this monograph. a grey point picture is generally modeled as a functionality de?ned in a bounded N area D? R (typically N = 2 for ordinary snapshots, N=3formedical pictures or videos) with values in R. The sensors of a digicam or a CCD array rework the continuum of sunshine energies to a ?nite period of values via a nonlinear functionality g. The distinction swap g is dependent upon the pr- ertiesofthesensors,butalsoontheilluminationconditionsandthere?ection propertiesofthe objects,andthoseconditionsaregenerallyunknown.Images are hence saw modulo an arbitrary and unknown distinction swap.
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