Projective invariant multiscale analysis
Dibos, Françoise (1996), Projective invariant multiscale analysis, International Conference on Image Processing, 1996. Proceedings., IEEE, p. 485-488. http://dx.doi.org/10.1109/ICIP.1996.559539
TypeCommunication / Conférence
Conference titleInternational Conference on Image Processing
Book titleInternational Conference on Image Processing, 1996. Proceedings.
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Abstract (EN)Thanks to the use of a 3D homogeneous representation of a picture, we present a multiscale analysis (TtP), t∈R+, P∈≃S2, which is invariant under the projective group: let g be a picture in the plane; for every projective transformation A, there exist t'=t'(A, t), Q=Q(A, P) such that A(Tt'Qg)=TtP(Ag). Moreover, this study allows us to propose simplified multiscale analysis, which are given by a unique PDE, for subgroups of the projective group: the subgroups of the projective transformations which leave invariant a line in the plane; the subgroup of the projective transformations associated, up to a non-zero scalar factor, to an orthogonal 3,3 matrix.
Subjects / KeywordsPDE; Multiscale analysis
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