Moment computation for objects with spline curve boundary

Author

Sheynin, Stanislav ; Tuzikov, Alexander

Author_Institution

Nat. Center of Informational Resources & Technolo gies, Nat. Acad. of Sci. of Belarus, Minsk, Belarus

Volume

25

Issue

10

fYear

2003

Firstpage

1317

Lastpage

1322

Abstract

A new approach is proposed for computation of area and geometric moments for a plane object with a spline curve boundary. The explicit formulae are obtained for area and low order moment calculation. The complexity of calculation depends on the moment order, spline degree, and the number of control points used in spline representation. The formulae proposed use the advantage that the sequence of spline control points is cyclic. It allowed us to reduce substantially the number of summands in them. The formulae might be useful in different applications where it is necessary to perform measurements for shapes with a smooth boundary.

Keywords

image recognition; interpolation; object recognition; splines (mathematics); complexity; explicit formulae; geometric moments; parametric curve; plane object; spline; spline curve boundary; Independent component analysis; Information theory; Machine intelligence; Machine learning; Pattern analysis; Pattern recognition; Performance evaluation; Signal analysis; Signal processing; Spline;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/TPAMI.2003.1233905

Filename

1233905