Title
Rotation of 2D orthogonal polynomials.
Abstract
•Behavior of Orthogonal Polynomials under rotation is investigated.•Only Hermite-like polynomials are transformed similarly as the monomials.•Hermite-like moments can generate rotation invariants simpler than other OG moments.•Exact proofs of all assertions are presented, no heuristics.•Useful for rotation-invariant object recognition.
Year
DOI
Venue
2018
10.1016/j.patrec.2017.12.013
Pattern Recognition Letters
Keywords
Field
DocType
Rotation invariants,Orthogonal polynomials,Recurrent relation,Hermite-like polynomials,Hermite moments
Orthogonal polynomials,Pattern recognition,Polynomial,Separable space,Pure mathematics,Invariant (mathematics),Artificial intelligence,Monomial,Mathematics,Cognitive neuroscience of visual object recognition
Journal
Volume
ISSN
Citations 
102
0167-8655
0
PageRank 
References 
Authors
0.34
19
3
Name
Order
Citations
PageRank
Bo Yang100.68
Jan Flusser23067215.61
Jaroslav Kautsky310820.75