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由单幅图像重构表面形状的B样条变分法研究

B-Spline Variational Method for Shape Reconstruction from Shading

  • 摘要: 针对SFS(Shape From Shading)问题中的Lagrange乘子难题,经过B样条插值,将SFS问题的可积性、光滑性限制隐含,消除Lagrange乘子的不利影响,采用B样条变分法解决了SFS问题;并根据B样条特殊结构,设计了SFS问题变分格式的层次基变换共轭梯度加速算法.初步的计算实例表明,此方法在精度、速度上有所提高,效果令人满意.

     

    Abstract: B-spline approach is used to solve shape from shading problem, removing the smoothness and integrability restrictions from the objective functional formulation. A new B-spline hierarchical basis function is introduced to accelerate the algorithm. Simulation results show the efficiency of new approach.

     

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