A general framework of a phase unwrapping procedure based on extended information filter is built. Two phase unwrapping algorithms with different observed models, are proposed by combining an extended information filter with an efficient phase gradient estimator, and an efficient quality-guided strategy based on heap-sort. The extended information filter that is a new type of filter with high efficiency and high robustness, is applied to acquire the unambiguous unwrapped phase of wrapped phase images for the first time to our knowledge. Through the application of the extended information filter, simultaneous phase unwrapping and noise suppression have been performed. The efficient phase gradient estimator that has been demonstrated well, is used to efficiently acquire phase gradient information required for the proposed algorithms. The efficient quality-guided strategy based on heap-sort is used to define the path of the proposed algorithms and to guarantee that they efficiently unwrap wrapped pixels along the path, from high-reliance to low-reliance regions. Synthetic and experimental data is used to demonstrate that our proposed algorithms can obtain robust solutions with reasonable time consumption, compared with some of the more traditional algorithms.

建立了基于扩展信息过滤器的相位展开过程的通用框架。通过将扩展信息滤波器与有效相位梯度估计器和基于堆排序的有效质量指导策略相结合，提出了具有不同观测模型的两种相位展开算法。据我们所知，扩展信息滤波器是一种具有高效率和高鲁棒性的新型滤波器，被应用来首次获取包裹相位图像的明确未包裹相位。通过应用扩展信息滤波器，可以同时进行相位解包和噪声抑制。已经被很好地证明的有效相位梯度估计器被用于有效地获取所提出的算法所需的相位梯度信息。基于堆排序的有效质量指导策略用于定义所提出算法的路径，并确保它们有效地解开从高依赖区域到低依赖区域的包裹像素。通过综合和实验数据证明，与一些更传统的算法相比，我们提出的算法可以在合理的时间消耗下获得鲁棒的解决方案。