Exact computation of area moments for spline and wavelet curves

M Jacob; T Blu; M Unser

doi:10.1109/ICPR.2000.903501

Back

Conference proceeding

Exact computation of area moments for spline and wavelet curves

M Jacob, T Blu and M Unser

Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, Vol.3, pp.127-130 vol.3

2000

DOI: 10.1109/ICPR.2000.903501

Files and links (1)

url

http://infoscience.epfl.ch/record/211290View

Open Access

Abstract

We present an exact algorithm for the computation of the moments of a region bounded by a curve represented in 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. We compare this algorithm with existing methods such as pixel-based approached and approximation of the region by a polygon.

Jacobian matrices

Surface reconstruction

Multidimensional systems

Filters

Shape

Surface waves

Integral equations

Biomedical computing

Spline

Biomedical imaging

Details

Title: Subtitle: Exact computation of area moments for spline and wavelet curves
Creators: M Jacob - Biomed. Imaging Group, Swiss Federal Inst. of Technol., Lausanne, Switzerland
T Blu
M Unser
Resource Type: Conference proceeding
Publication Details: Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, Vol.3, pp.127-130 vol.3
DOI: 10.1109/ICPR.2000.903501
ISSN: 1051-4651
Publisher: IEEE
Language: English
Date published: 2000
Academic Unit: Roy J. Carver Department of Biomedical Engineering; Radiology; Electrical and Computer Engineering; Iowa Neuroscience Institute; Radiation Oncology
Record Identifier: 9984071618802771

Metrics

24 Record Views