Abstract
Limited-angle optical diffraction tomography suffers from strong artifacts in tomographic reconstructions. Numerous algorithms, mainly based on regularization methods, have been developed recently to overcome this limitation. However, the quality of results still needs further improvement. Here I present a simple yet extremely effective method of increasing the reconstruction quality in limited angle optical diffraction tomography that can be combined with known tomographic algorithms. In the method a finite object support is generated from the object data and utilized in the reconstruction procedure as an additional strong regularizer. Practical aspects of this method are given together with examples of application.
Highlights
Limited-angle optical diffraction tomography (LAT) is an effective tool for the retrieval of the three-dimensional (3D) refractive index (RI) distribution of biological samples [1,2,3]
LAT suffers from strong artifacts in tomographic reconstructions calculated with standard algorithms, especially in the direction of the optical axis of the tomographic system [4]
The first step in generation of finite object support is the calculation of regularized tomographic reconstruction that will allow retrieving a reconstruction with correctly restored external geometry
Summary
Limited-angle optical diffraction tomography (LAT) is an effective tool for the retrieval of the three-dimensional (3D) refractive index (RI) distribution of biological samples [1,2,3] In this configuration a detector and a sample are stationary and the incidence angle of a laser illumination beam is altered. Multiple advanced reconstruction schemes have been developed in recent years to overcome this limitation, like edge-preserving regularization [5], total variation regularization [6], Gerchberg-Papoulis algorithm [7,8] or learning approach [9] Another technique that has already been applied to x-ray computed tomography and magnetic resonance imaging [10,11,12] is utilization of finite object support in the reconstruction procedure. In LAT utilization of such support mainly addressees the "missing cone" artifacts that are always present due to limited angular range of acquired projections [8]
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