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28 November 2007 A generalized temporal phase unwrapping algorithm
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A generalized temporal phase unwrapping (GTPU) algorithm is proposed for absolute phase measurement of object surfaces with complex topography. Comparing with the classical TPU algorithms, GTPU shows more robust and has better noise immunity and less computational complexity. According to the type of fringe sequence used, the current TPU algorithms proposed by Huntley can be divided into three categories: linear sequence, exponential sequence and reversed exponential sequence. The two types of exponential sequences make use of the fact that the relation between the phase and the number of projected fringes is linear, resulting in a reduction of total number of acquired images compared to linear sequence illumination. Error analysis for the different TPU methods were done firstly, that reveals the problems existed in theses phase unwrapping methods, for example the limitation imposed on the fringe sequence, noise immunity and computational efficiency. In order to overcome these drawbacks, we present a generalized TPU algorithm in this paper. The GTPU can eliminate the limitation on fringe sequence, so that an arbitrary fringe sequence will be used to encode the object surface, leading to a flexible method for phase reconstruction. Computer simulations and experiment results have been also proved that the GTPU has better performance on noise control and computational efficiency.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jindong Tian, Xiang Peng, and Xiaobo Zhao "A generalized temporal phase unwrapping algorithm", Proc. SPIE 6834, Optical Design and Testing III, 683416 (28 November 2007);

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