Title | ||
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Recursive computation of moments of 2D objects represented by elliptic Fourier descriptors |
Abstract | ||
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This paper develops a recursive method for computing moments of 2D objects described by elliptic Fourier descriptors (EFD). To this end, Green's theorem is utilized to transform 2D surface integrals into 1D line integrals and EFD description is employed to derive recursions for moments computations. A complexity analysis is provided to demonstrate space and time efficiency of our proposed technique. Accuracy and speed of the recursive computations are analyzed experimentally and comparisons with some existing techniques are also provided. |
Year | DOI | Venue |
---|---|---|
2010 | 10.1016/j.patrec.2010.02.009 | Pattern Recognition Letters |
Keywords | Field | DocType |
elliptic fourier descriptors,superquadrics,existing technique,line integral,b-spline functions,surface integral,moments computation,recursive computation,efd description,complexity analysis,proposed technique,moments,recursive method,bernstein–bézier representations,spline function | B-spline,Applied mathematics,Mathematical analysis,Fourier transform,Bernstein polynomial,Artificial intelligence,Recursion,Computation,Line integral,Pattern recognition,Superquadrics,Surface integral,Mathematics | Journal |
Volume | Issue | ISSN |
31 | 11 | Pattern Recognition Letters |
Citations | PageRank | References |
4 | 0.45 | 17 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Octavian Soldea | 1 | 150 | 11.96 |
Mustafa Ünel | 2 | 154 | 20.71 |
Aytul Ercil | 3 | 177 | 15.16 |