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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Published in | European journal of applied mathematics Vol. 34; no. 5; pp. 936 - 946 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Cambridge, UK
Cambridge University Press
01.10.2023
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0956-7925 1469-4425 |
DOI: | 10.1017/S0956792522000298 |