Title
Blur invariants constructed from arbitrary moments.
Abstract
This paper deals with moment invariants with respect to image blurring. It is mainly a reaction to the works of Zhang and Chen , recently published in these Transactions. We present a general method on how to construct blur invariants from arbitrary moments and show that it is no longer necessary to separately derive the invariants for each polynomial basis. We show how to discard dependent terms in blur invariants definition and discuss a proper implementation of the invariants in orthogonal bases using recurrent relations. An example for Legendre moments is given.
Year
DOI
Venue
2011
10.1109/TIP.2011.2159235
IEEE Transactions on Image Processing
Keywords
Field
DocType
blur invariants,blur invariants definition,orthogonal base,dependent term,general method,arbitrary moments,polynomial basis,legendre moment,moment invariants,arbitrary moment,paper deal,image restoration,image moments,method of moments,image recognition,polynomials,image registration,legendre polynomials,correlation
Polynomial basis,Polynomial,Mathematical analysis,Legendre polynomials,Artificial intelligence,Image restoration,Image moment,Method of moments (statistics),Pattern recognition,Pure mathematics,Invariant (mathematics),Image registration,Mathematics
Journal
Volume
Issue
ISSN
20
12
1941-0042
Citations 
PageRank 
References 
7
0.46
14
Authors
2
Name
Order
Citations
PageRank
Jaroslav Kautsky110820.75
Jan Flusser23067215.61