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 photograph comparability and registration, to facet and nook computation, and the choice of positive factors linked to a given scale in photos. allow us to ?rst say that, to prevent an extended record, we will now not supply references during this precis; they're evidently contained during this monograph. a grey point snapshot is mostly modeled as a functionality de?ned in a bounded N area D? R (typically N = 2 for traditional snapshots, N=3formedical photographs or videos) with values in R. The sensors of a digicam or a CCD array remodel the continuum of sunshine energies to a ?nite period of values through a nonlinear functionality g. The distinction switch g will depend on the pr- ertiesofthesensors,butalsoontheilluminationconditionsandthere?ection propertiesofthe objects,andthoseconditionsaregenerallyunknown.Images are therefore saw modulo an arbitrary and unknown distinction switch.
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