Abstract: For the propose of incomplete data reconstruction caused by opaque objects in a complex flow field,a novel iterative algorithm based on series expansion methods by Moiré tomography is developed from the essence of Moiré deflection,the property matrix of a priori knowledge is introduced into the iterative process.The algorithm is studied by using it to reconstruct three-hump simulated temperature fields with opaque objects,so an ideal reconstruction results are achieved.Results are also compared with results from the traditional filtered back-projection algorithm under same conditions.Results show that having been combined with the property matrix of a priori information,new algorithm is more efficient to handle incomplete data reconstructive problems than the filtered back-projection algorithm.So the foundation of taking Moiré tomography into practice is established.