## Abstract

Bioluminescence tomography (BLT) can three-dimensionally and quantitatively resolve the molecular processes in small animals *in vivo*. In this paper, we propose a BLT reconstruction algorithm based on duality and variable splitting. By using duality and variable splitting to obtain a new equivalent constrained optimization problem and updating the primal variable as the Lagrangian multiplier in the dual augmented Lagrangian problem, the proposed method can obtain fast and stable source reconstruction even without the permissible source region and multispectral measurements. Numerical simulations on a mouse atlas and *in vivo* mouse experiments were conducted to validate the effectiveness and potential of the method.

© 2012 Optical Society of America

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