Continuous model of irregular sampled data using multilevel B-splines

Author

Asahi, Takeshi ; López, Alfredo ; Chassat, Fabrice

Author_Institution

Center for Math. Modelling, Chile Univ., Santiago, Chile

Volume

2

fYear

2003

fDate

14-17 Sept. 2003

Abstract

The present work deals with the problem of obtaining a continuous multivariate function based on B-splines, which approximates irregular sampled data. A multiresolution pyramidal approach is proposed, giving robustness and speed at the time of determining the coefficients that define the surface. The resulting pyramid of functions having different resolutions may reduce subsequent calculation when manipulating the image by utilizing hierarchical algorithms. The B-spline surface is calculated by adjusting the coefficients through the least squares criteria, which is implemented in an iterative gradient algorithm. Simulations in 2-D and approximations with real ultrasound data are carried out to test the performance of the algorithm.

Keywords

gradient methods; image resolution; image sampling; least squares approximations; splines (mathematics); ultrasonic imaging; B-spline surface; continuous model; continuous multivariate function; hierarchical algorithm; irregular sampled data; iterative gradient algorithm; least squares criteria; multilevel B-spline; multiresolution pyramidal approach; pyramid function; ultrasound data; Coordinate measuring machines; Image resolution; Iterative algorithms; Least squares approximation; Least squares methods; Mathematical model; Robustness; Sampling methods; Spline; Ultrasonic imaging;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on

ISSN

1522-4880

Print_ISBN

0-7803-7750-8

Type

conf

DOI

10.1109/ICIP.2003.1246833

Filename

1246833