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Fringe Pattern Analysis For Optical Metrology: Theory, Algorithms, And Applications
Manuel Servin, J. Antonio Quiroga, Moises Padilla
Synopsis "Fringe Pattern Analysis For Optical Metrology: Theory, Algorithms, And Applications"
The Book Deals With Phase Demodulation Typically Encountered In Optical Metrology Techniques Such As Interferometry, Shadow Moiré, Fringe Projection, Photoelasticity, Moiré Interferometry, Moiré Deflectometry, Holographic Interferometry, Shearing Interferometry, Digital Holography, Speckle Interferometry, Etc. The Authors Also Cover Other Techniques Such As Fourier Transforms Interferometry, Spatial Phase Shifting, Phase Unwrapping, Self - Tuning Synchronous Algorithms, Regularized Phase Tracker And, Asynchronous Algorithms. It Is Organized As Follows: Chapter 1 Reviews The Theory Behind Linear Systems Analysis In The Z And The Frequency Domain, And Briefly Introduces Its Application To Quadrature Filters For Phase Estimation. Chapter 2 Describes The Main Phase Shifting Techniques When The Fringe Patterns Are Recorded At A Regular Sampling Rate. We Analyze Some Classical Phase Shifting Algorithms Using The Frequency Transfer Framework Presented In Chapter 1. We Also Discuss Synthesis Of Phase Shifting Filters Based On Smaller Building Blocks, Analyzing Their Spectral Response, Detuning Errors, Signal To Noise Ratio, And Harmonics Response. Chapter 3 Includes Methods For Phase Estimation Of Temporal Fringe Patterns With Unknown And Possible Irregular Phase Steps, Including: Iterative Least Squares, Principal Component Analysis, And Regularized Solutions. Chapter 4 Presents Techniques For Analyzing Single - Image Fringe Patterns With Spatial Carrier, Using The Classical Fourier Transform Method And Spatial Carrier Phase Shifting. Here We Also Discuss The Demodulation Of The Newly Introduced Pixelated Carrier Interferograms Along With Its Signal To Noise Ratio And Harmonics Response. Chapter 5 Discusses The Case When We Have A Single - Image Fringe Pattern With Closed Fringes (Without Carrier). In Particular We Discuss The Regularized Phase Tracker, The Vortex Transform, The Windowed Fourier Method, And Finally The N - Dimensional Hilbert Transform As The Theory And Generalization Of The Vortex Filter. Chapter 6 Deals With Phase Unwrapping Basics Starting With Elementary Unwrapping Techniques, Followed By The Use Of The Phase Tracker As Phase Unwrapper. Also Recently Introduced Linear Recursive Filters As Robust Phase Unwrappers Are Reviewed. Finally We Include The Use Of Quality Maps And The Branch Cut Strategy For Unwrapping Phase Maps, Widely Used In Radar Interferometry
