English

Level Set Estimation from Compressive Measurements using Box Constrained Total Variation Regularization

Computer Vision and Pattern Recognition 2012-10-10 v1 Applications Machine Learning

Abstract

Estimating the level set of a signal from measurements is a task that arises in a variety of fields, including medical imaging, astronomy, and digital elevation mapping. Motivated by scenarios where accurate and complete measurements of the signal may not available, we examine here a simple procedure for estimating the level set of a signal from highly incomplete measurements, which may additionally be corrupted by additive noise. The proposed procedure is based on box-constrained Total Variation (TV) regularization. We demonstrate the performance of our approach, relative to existing state-of-the-art techniques for level set estimation from compressive measurements, via several simulation examples.

Cite

@article{arxiv.1210.2474,
  title  = {Level Set Estimation from Compressive Measurements using Box Constrained Total Variation Regularization},
  author = {Akshay Soni and Jarvis Haupt},
  journal= {arXiv preprint arXiv:1210.2474},
  year   = {2012}
}
R2 v1 2026-06-21T22:18:27.296Z