Department of Image Processing

Construction of complete and independent systems of rotation moment invariants

Conference Paper (international conference)

Flusser Jan, Suk Tomáš

serial: Computer Analysis of Images and Patterns. Proceedings, p. 41-48 , Eds: Petkov N., Westenberg M. A.

publisher: Springer, (Berlin 2003)

edition:

action: International Conference CAIP 2003 /10./, (Groningen, NL, 25.08.2003-27.08.2003)

research: CEZ:AV0Z1075907

project(s): GA201/03/0675GA ČR

keywords: rotation moment invariants, complete and independent basis

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abstract (eng):

General method for constructing independent and complete set of rotation invariants of arbitrary orders by means of complex moments is described. It is shown that for any set of invariants there exists relatively small basis by means of which all other invariants can be generated. The basis of the 3rd order moment invariants is constructed explicitly and its relationship to Hu's invariants is studied. Based on this study, Hu's invariants are shown to be dependent and incomplete.

Cosati: 09K

RIV: JD