2011
DOI: 10.1007/s11340-011-9516-x
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Non-invasive Mechanical Measurement for Transparent Objects by Digital Holographic Interferometry Based on Iterative Least-Squares Phase Unwrapping

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Cited by 23 publications
(7 citation statements)
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“…Finally, phase unwrapping is applied when the displacement of the structure between the two instants is larger than almost half the wavelength of the laser source. The unwrapping algorithm used in this paper is based on least squares minimization 66 , 67 .…”
Section: Basic Principles Of the Measurement Techniquesmentioning
confidence: 99%
“…Finally, phase unwrapping is applied when the displacement of the structure between the two instants is larger than almost half the wavelength of the laser source. The unwrapping algorithm used in this paper is based on least squares minimization 66 , 67 .…”
Section: Basic Principles Of the Measurement Techniquesmentioning
confidence: 99%
“…The path-independent methods seek to find an unwrapped phase whose spatial differences match the differences in the wrapped phase data as closely as possible, in which the phase unwrapping is completed by minimization of a global function. Plenty of methods have been proposed to accomplish this task, such as the least square (LS)-based algorithms [41][42][43][44][45][46][47][48], the transport of intensity equation (TIE)-based algorithms [49][50][51][52][53][54][55][56][57], and the polynomial fitting-based algorithms [58][59][60][61][62][63].…”
Section: Comparative Study Of Phase Unwrapping Algorithms Based On So...mentioning
confidence: 99%
“…The direct methods consume very little time, but the performance is not satisfactory especially for the heavy noise cases. As a result, some iterative strategies [46][47][48] have been proposed to improve the performance of the direct ones at the cost of consuming more time. The development of the TIE-based methods is fascinating since it was not named the TIE in early times in [49][50][51] until [52] presented a detailed mathematical derivation of the TIE-based phase unwrapping algorithm.…”
Section: Comparative Study Of Phase Unwrapping Algorithms Based On So...mentioning
confidence: 99%
“…In the field of mechanical engineering, this constituted the underlying principle in holographic interferometry and Moire inteferometry. The former concerns measuring the properties of transparent specimens [3], whereas the latter is used to measure small deformations of non-transparent solids due to external forces and thermal expansions, as for example is described in [4,5]. Recently, a methodology which uses two sample probes for simultaneously measuring the refractive index and thickness of transparent specimens has been developed and demonstrated in [2].…”
Section: Existing Knowledgementioning
confidence: 99%