Journal article
An exact method for computing the area moments of wavelet and spline curves
IEEE transactions on pattern analysis and machine intelligence, Vol.23(6), pp.633-642
06/2001
DOI: 10.1109/34.927463
Abstract
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).
Details
- Title: Subtitle
- An exact method for computing the area moments of wavelet and spline curves
- Creators
- M Jacob - Biomed. Imaging Group, Swiss Federal Inst. of Technol., Lausanne, SwitzerlandT BluM Unser
- Resource Type
- Journal article
- Publication Details
- IEEE transactions on pattern analysis and machine intelligence, Vol.23(6), pp.633-642
- DOI
- 10.1109/34.927463
- ISSN
- 0162-8828
- eISSN
- 1939-3539
- Publisher
- IEEE
- Language
- English
- Date published
- 06/2001
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Radiology; Electrical and Computer Engineering; Iowa Neuroscience Institute; Radiation Oncology
- Record Identifier
- 9984070641002771
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