Show simple item record

dc.contributor.authorAlvarez, Luis
dc.contributor.authorGuichard, Frédéric
dc.contributor.authorLions, Pierre-Louis
dc.contributor.authorMorel, Jean-Michel
dc.date.accessioned2015-01-22T09:03:20Z
dc.date.available2015-01-22T09:03:20Z
dc.date.issued1993
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14583
dc.language.isoenen
dc.subjectmovie analysisen
dc.subjectPDEen
dc.subjectImage-processingen
dc.subject.ddc515en
dc.titleAxioms and fundamental equations of image processingen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenImage-processing transforms must satisfy a list of formal requirements. We discuss these requirements and classify them into three categories: “architectural requirements” like locality, recursivity and causality in the scale space, “stability requirements” like the comparison principle and “morphological requirements”, which correspond to shape-preserving properties (rotation invariance, scale invariance, etc.). A complete classification is given of all image multiscale transforms satisfying these requirements. This classification yields a characterization of all classical models and includes new ones, which all are partial differential equations. The new models we introduce have more invariance properties than all the previously known models and in particular have a projection invariance essential for shape recognition. Numerical experiments are presented and compared. The same method is applied to the multiscale analysis of movies. By introducing a property of Galilean invariance, we find a single multiscale morphological model for movie analysis.en
dc.relation.isversionofjnlnameArchive for Rational Mechanics and Analysis
dc.relation.isversionofjnlvol123en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate1993
dc.relation.isversionofjnlpages199-257en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF00375127en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record