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In this paper is presented a method for invariant 2D object representation based on the Mellin-Fourier Transform (MFT), modified for the application. The so obtained image representation is invariant against 2D rotation, scaling, and translation change (RST). The representation is additionally made invariant to significant contrast and illumination changes. The method is aimed at content-based object retrieval in large image databases. A new algorithm for fast closest vector search in the database is proposed as well. The experimental results obtained using the software implementation of the method proved the method efficiency. The method is suitable for various applications, such as detection of children sexual abuse in multimedia files, search of handwritten and printed documents, etc.