Split operator method for fluorescence diffuse optical tomography using anisotropic diffusion regularisation with prior anatomical information Articles uri icon

publication date

  • September 2011

start page

  • 2632

end page

  • 2648

issue

  • 9

volume

  • 2

international standard serial number (ISSN)

  • 2156-7085

abstract

  • Fluorescence diffuse optical tomography (fDOT) is an imaging modality that provides images of the fluorochrome distribution within the object of study. The image reconstruction problem is ill-posed and highly underdetermined and, therefore, regularisation techniques need to be used. In this paper we use a nonlinear anisotropic diffusion regularisation term that incorporates anatomical prior information. We introduce a split operator method that reduces the nonlinear inverse problem to two simpler problems, allowing fast and efficient solution of the fDOT problem. We tested our method using simulated, phantom and ex-vivo mouse data, and found that it provides reconstructions with better spatial localisation and size of fluorochrome inclusions than using the standard Tikhonov penalty term.

keywords

  • in-vivo; molecular tomography; image-reconstruction; nonlinear diffusion; inverse problems; edge-detection; posed problems; scale-space; breast; schemes