Title :
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
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;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
DOI :
10.1109/TPAMI.2003.1233905
