Abstract: Traditional texture mapping methods are mostly based on iterative optimization, producing only approximate result. This paper introduces a novel constrained texture mapping method based on harmonic maps. Using this method, we can get a formally accurate solution to constrained texture mapping problem. Due to the energy minimization property of harmonic maps, this method can minimize the distortion of texture mapping. Also a real-time refinement operation can be performed by an adaptive local domain modification scheme. Our method is robust and efficient, and the experiment results show its perfect effect.