基于调和映射的约束纹理映射方法

Harmonic Maps Based Constrained Texture Mapping Method

传统的约束纹理映射方法大都建立在迭代优化的基础上,给出的解多为近似解·为此,提出了一种基于调和映射的约束纹理映射方法,利用该方法可以得到约束纹理映射问题的一个形式化精确解·由于调和映射具有保持映射能量最小的良好性质,因此该方法能够最小化纹理映射的形变;另外,约束的纹理映射是个大交互量的工作,对映射效果的优化调整非常重要,提出的自适应局部邻域调整方法能够实现映射效果的实时优化·该方法鲁棒并且效率高,实验结果表明利用该方法能够取得良好的绘制效果·

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.