loading
Papers Papers/2022 Papers Papers/2022

Research.Publish.Connect.

Paper

Paper Unlock

Authors: Martin Kleinsteuber and Simon Hawe

Affiliation: Technische Universität München, Germany

Keyword(s): Linear inverse problems, Signal reconstruction, Time varying signal reconstruction, Discretized newton flow.

Abstract: The reconstruction of a signal from only a few measurements, deconvolving, or denoising are only a few interesting signal processing applications that can be formulated as linear inverse problems. Commonly, one overcomes the ill-posedness of such problems by finding solutions which best match some prior assumptions. These are often sparsity assumptions as in the theory of Compressive Sensing. In this paper, we propose a method to track solutions of linear inverse problems. We assume that the corresponding solutions vary smoothly over time. A discretized Newton flow allows to incorporate the time varying information for tracking and predicting the subsequent solution. This prediction requires to solve a linear system of equation, which is in general computationally cheaper than solving a new inverse problem. It may also serve as an additional prior that takes the smooth variation of the solutions into account, or, as an initial guess for the preceding reconstruction. We exemplify our approach with the reconstruction of a compressively sampled synthetic video sequence. (More)

CC BY-NC-ND 4.0

Sign In Guest: Register as new SciTePress user now for free.

Sign In SciTePress user: please login.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 3.235.199.19

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

Paper citation in several formats:
Kleinsteuber, M. and Hawe, S. (2012). TRACKING SOLUTIONS OF TIME VARYING LINEAR INVERSE PROBLEMS. In Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM; ISBN 978-989-8425-98-0; ISSN 2184-4313, SciTePress, pages 253-257. DOI: 10.5220/0003864102530257

@conference{icpram12,
author={Martin Kleinsteuber. and Simon Hawe.},
title={TRACKING SOLUTIONS OF TIME VARYING LINEAR INVERSE PROBLEMS},
booktitle={Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM},
year={2012},
pages={253-257},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003864102530257},
isbn={978-989-8425-98-0},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM
TI - TRACKING SOLUTIONS OF TIME VARYING LINEAR INVERSE PROBLEMS
SN - 978-989-8425-98-0
IS - 2184-4313
AU - Kleinsteuber, M.
AU - Hawe, S.
PY - 2012
SP - 253
EP - 257
DO - 10.5220/0003864102530257
PB - SciTePress