Pai H T, Bovik A C
Dept. of Electr. and Comput. Eng., Texas Univ., Austin, TX 78712-1084, USA.
IEEE Trans Image Process. 2001;10(10):1434-46. doi: 10.1109/83.951530.
Existing eigenstructure-based direct multichannel blind image restoration techniques include nullspace-based and direct deconvolver estimation techniques. The nullspace-based approach can be formulated as an optimization problem. We show that this formulation implies a new subspace-based approach that uses matrix operations. This new approach has the same advantages as the nullspace-based one but requires less computational complexity. Under some mild conditions, its complexity is equal to that of the FFT. Furthermore, the relation among the nullspace-based approach, the direct deconvolver estimation and the new subspace-based approach is studied.
现有的基于特征结构的直接多通道盲图像恢复技术包括基于零空间的技术和直接反卷积估计技术。基于零空间的方法可以被表述为一个优化问题。我们表明，这种表述意味着一种使用矩阵运算的基于子空间的新方法。这种新方法具有与基于零空间的方法相同的优点，但计算复杂度更低。在一些温和条件下，其复杂度与快速傅里叶变换（FFT）的复杂度相当。此外，还研究了基于零空间的方法、直接反卷积估计和基于子空间的新方法之间的关系。
