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Paper Detail

Paper:	SS-4.6
Session:	Algebra and Geometry: The Search for Structure in Signal Processing
Time:	Wednesday, May 17, 11:40 - 12:00
Presentation:	Special Session Lecture
Topic:	Special Sessions: Algebra and geometry: the search for structure in Signal Processing
Title:	Stochastic Analysis of Geometric Image Processing using B-Splines
Authors:	Gustavo Rohde, Dennis Healy, Jr., Carlos Bernstein, University of Maryland, United States; Akram Aldroubi, Vanderbilt University, United States; Daniel Rockmore, Dartmouth College, United States
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.