An Exact Method for Computing the Area Moments of Wavelet and Spline Curves

We present a method for the exact computation of the moments of a region bounded by a curve represented by a scaling function or wavelet basis. Using Green's Theorem, we show that the computation of the area moments is equivalent to applying a suitable multidimensional filter on the coefficients of the curve and thereafter computing a scalar product. The multidimensional filter coefficients are precomputed exactly as the solution of a two-scale relation. To demonstrate the performance improvement of the new method, we compare it with existing methods such as pixel-based approaches and approximation of the region by a polygon. We also propose an alternate scheme when the scaling function is sinc(x).


Published in:
IEEE Transactions on Pattern Analysis and Machine Intelligence, 23, 6, 633–642
Year:
2001
Publisher:
IEEE
Keywords:
Other identifiers:
Laboratories:




 Record created 2005-11-30, last modified 2018-09-25

n/a:
Download fulltextPDF
External links:
Download fulltextURL
Download fulltextURL
Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)