A 3D model with shape prior information for biological structures reconstruction using Multiple-Angle Total Internal Reflection Fluorescence Microscopy
Abstract
We propose a new model for the reconstruction of biological struc- tures using Multiple-Angle Total Internal Reflection Fluorescence Microscopy (MA-TIRFM). This recent microscopy technique allows the visualization of sub-cellular structures around the plasma mem- brane which is of fundamental importance in the comprehension of exchanges mechanisms of the cell. We present a 3D reconstruction method based on a shape prior information on the observed struc- tures and robust to shot noise and background fluorescence. A nov- elty with respect to the state of the art is to propose a method allow- ing the recovery of multiple objects aligned along the axial axis. The optimization problem can be formulated as a minimization problem where both the number of objects in the model and their parame- ters have to be estimated. This difficult combinatorial optimization problem is tackled by using a Marked Point Process approach which allows modelling interactions between the objects in order to regu- larize the inverse problem. Finally, performances of the proposed method are evaluated on synthetic data and real data.
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