Reconciling Bayesian and perimeter regularization for binary inversion

• Main Authors: Dunbar, Oliver R. A., Dunlop, Matthew M., Elliott, Charles M., Hoang, Viet Ha, Stuart, Andrew M.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2021
• Subjects: Engineering::Mathematics and analysis; Bayesian Inversion; Phase Field
• Online Access: https://hdl.handle.net/10356/147617
• Institution: Nanyang Technological University

A central theme in classical algorithms for the reconstruction of discontinuous functions from observational data is perimeter regularization via the use of total variation. On the other hand, sparse or noisy data often demand a probabilistic approach to the reconstruction of images, to enable uncer...