Projective invariants of images

The method of equivariant moving frames is employed to construct and completely classify the differential invariants for the action of the projective group on functions defined on the two-dimensional projective plane. While there are four independent differential invariants of order $\leq 3$ , it is...

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Bibliographic Details
Published inEuropean journal of applied mathematics Vol. 34; no. 5; pp. 936 - 946
Main Author OLVER, PETER J.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.10.2023
Subjects
Applied mathematics
Dependent variables
Image processing
Invariants
image processing
53A55
68U10
moving frame
53A20
Projective group
58D19
differential invariant
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Summary:The method of equivariant moving frames is employed to construct and completely classify the differential invariants for the action of the projective group on functions defined on the two-dimensional projective plane. While there are four independent differential invariants of order $\leq 3$ , it is proved that the algebra of differential invariants is generated by just two of them through invariant differentiation. The projective differential invariants are, in particular, of importance in image processing applications.
ISSN:0956-7925
1469-4425
DOI:10.1017/S0956792522000298