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Partially regularized technique is an extension based on interval constraint of minimum norm solution. Such techniques have shown good results on problems like Missing Data Recovery (MDR). The proposed use of partially regularized technique for the computer tomography (CT) image reconstruction is to investigate if the MDR concept can be used for few view projection data acquisition scenario. The motivation for such an implementation is to establish a concept of MDR in sparse CT image reconstruction. In the present initial conceptual work, the sparse CT image reconstruction means highly under-sampled data.