Use of penalty terms in gradient-based iterative reconstruction schemes for optical tomography

A. H. Hielscher, S. Bartel

    Research output: Contribution to journalArticlepeer-review

    Abstract

    It is well known that the reconstruction problem in optical tomography is ill-posed. In other words, many different spatial distributions of optical properties inside the medium can lead to the same detector readings on the surface of the medium under consideration. Therefore, the choice of an appropriate method to overcome this problem is of crucial importance for any successful optical tomographic image reconstruction algorithm. In this work we approach the problem within a gradient-based iterative image reconstruction scheme. The image reconstruction is considered to be a minimization of an appropriately defined objective function. The objective function can be separated into a least-square-error term, which compares predicted and actual detector readings, and additional penalty terms that may contain a priori information about the system. For the efficient minimization of this objective function the gradient with respect to the spatial distribution of optical properties is calculated. Besides presenting the underlying concepts in our approach to overcome illposedness in optical tomography, we will show numerical results that demonstrate how prior knowledge, represented as penalty terms, can improve the reconstruction results.

    Original languageEnglish (US)
    Pages (from-to)183-192
    Number of pages10
    JournalJournal of biomedical optics
    Volume6
    Issue number2
    DOIs
    StatePublished - Apr 2001

    Keywords

    • Image reconstruction
    • Inverse problem
    • Optical tomography
    • Regularization

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Biomaterials
    • Atomic and Molecular Physics, and Optics
    • Biomedical Engineering

    Fingerprint Dive into the research topics of 'Use of penalty terms in gradient-based iterative reconstruction schemes for optical tomography'. Together they form a unique fingerprint.

    Cite this