The present paper is devoted to solution of an inverse problem - construction of 2D "true model" of a studied medium, using data obtained by the Common Reflecting (CRE) and Common Evolute Element (CEE) methods. The CRE and CEE methods are components of a novel system of processing and interpretation of seismic data, which is based on fundamental topological ideas, new different types of stack and homeomorphic images of studied media. The mentioned and other components of the homeomorphic imaging system were presented on Adelaide ASEG, Dallas and San Francisco SEG, Berlin EAEG, Istanbul IASPEl and Jerusalem Mathematical Geophysics Meeting and several journal papers.


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