Title :
Stochastic Analysis of Geometric Image Processing Using B-Splines
Author :
Rohde, G.K. ; Healy, D.M., Jr. ; Berenstein, C.A. ; Aldroubi, A. ; Rockmore, D.
Author_Institution :
Dept. of Math., Maryland Univ., College Park, MD
Abstract :
We look at the problem of extracting geometric functions such as spatial transformations and curves delineating edges to subpixel accuracy from noisy, sampled data. We analyze the stochastic properties of continuous B-spline interpolation to show that, in general noisy circumstances, sub-pixel accuracy is not obtainable when using low degree B-splines. Results using magnetic resonance image (MRI) data are shown
Keywords :
feature extraction; image resolution; interpolation; magnetic resonance imaging; splines (mathematics); stochastic processes; MRI; continuous B-spline interpolation; curves delineating edges; geometric functions extraction; geometric image processing; magnetic resonance image; spatial transformations; stochastic analysis; subpixel accuracy; Data analysis; Data mining; Image analysis; Image processing; Interpolation; Magnetic analysis; Magnetic noise; Magnetic resonance; Spline; Stochastic processes;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Conference_Location :
Toulouse
Print_ISBN :
1-4244-0469-X
DOI :
10.1109/ICASSP.2006.1661451
