Blur Invariants Constructed From Arbitrary Moments
Autor: | Jan Flusser, Jaroslav Kautsky |
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Rok vydání: | 2011 |
Předmět: |
Image moment
Pure mathematics Mathematical analysis ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Image registration Method of moments (statistics) Computer Graphics and Computer-Aided Design Image (mathematics) Polynomial basis Computer Science::Computer Vision and Pattern Recognition Moment (physics) Legendre polynomials Software Image restoration Mathematics |
Zdroj: | IEEE Transactions on Image Processing. 20:3606-3611 |
ISSN: | 1941-0042 1057-7149 |
DOI: | 10.1109/tip.2011.2159235 |
Popis: | 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. |
Databáze: | OpenAIRE |
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