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A new approach that can easily incorporate any generic penalty function into the diffuse optical tomographic image reconstruction is introduced to show the utility of nonquadratic penalty functions. The penalty functions that were used include quadratic (l 2 ), absolute (l 1 ), Cauchy, and Geman-McClure. The regularization parameter in each of these cases was obtained automatically by using the generalized cross-validation method. The reconstruction results were systematically compared withdoi:10.1364/josaa.30.001516 pmid:24323209 fatcat:4uq5thzyzrft5huce5kbecwwhm