A new tomography method in the presence of an opaque object





two-dimensional tomography, opaque inclusion, Cavalieri condition


A new tomography method for a two-dimensional object containing an opaque inclusion is developed. For the estimation of unknown data in the opaque object’s shadow, the system of linear algebraic equations derived from the representation of projections of moments by homogeneous polynomials is solved. The numerical results show that the method has a number of advantages over alternative approaches.

Author Biography

A.V. Likhachov


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How to Cite

Лихачев А.В. A New Tomography Method in the Presence of an Opaque Object // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2017. 18. 129-137. doi 10.26089/NumMet.v18r210



Section 1. Numerical methods and applications