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The effect of selection operator through proportionate, truncation, and tournament schemes has been analyzed along with the introduction of a mixed\u2010selection scheme. Image quality has been measured using root\u2010mean\u2010squared error, Euclidean error and peak signal\u2010to\u2010noise ratios. The sensitivity of reconstructed image quality on various mutation operators, namely standard, gradient\u2010, and offset\u2010based schemes, has been analyzed along with the effect of number of projections. The number of projections has resulted in maximization of image quality while minimizing the radiation hazard involved. The results of HCGA have been compared with FBP as a deterministic technique and simulated annealing (SA) as a stochastic technique for IRT approximation. For the 8 \u00d7 8 head and lung phantoms, HCGA, SA, FBP, have resulted PSNR values correspondingly as 40.47, 33.92, 8.28 and 26.38, 20.36, 12.98 dB. \u00a9 2007 Wiley Periodicals, Inc. 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