RT Journal Article T1 Measurement of surface topography by RGB Shadow-Moiré with direct phase demodulation A1 Quiroga Mellado, Juan Antonio A1 Gómez Pedrero, José Antonio A1 Terrón López, M. José A1 Crespo Vázquez, Daniel AB In this paper we present the application of a direct demodulation method for the measurement of surface topography by means of Shadow-Moiré. In our set-up, we use three LEDs (with green, red and blue peak wavelengths) to illuminate the grating. Due to the different position of these light sources, a polychromatic Shadow-Moiré fringe pattern is produced, which can be described as the superposition of three monochromatic (red, green and blue) fringe patterns. Taking the image of this polychromatic fringe pattern with a RGB CCD camera, we get a monochromatic fringe pattern stored at each RGB channel of the CCD. The direct demodulation algorithm employed uses these fringe patterns to calculate the wrapped phase map. After unwrapping the phase map using a standard multi-grid technique, we implemented an automatic procedure to detect the area of interest of the phase map by removing low modulation zones and to calculate the absolute value of the phase. In this way it is possible to determine the topography of a surface with a single RGB snapshot maintaining a simple experimental set-up, which is an important feature, especially for the study of dynamic phenomena such as deformations. We present the experimental results obtained after measuring different objects with both smooth and rough surface textures. PB Elsevier Sci. Ltd. SN 0143-8166 YR 2006 FD 2006-12 LK https://hdl.handle.net/20.500.14352/50788 UL https://hdl.handle.net/20.500.14352/50788 LA eng NO [1] Patorski K. Handbook of the Moiré fringe technique. New York: Elsevier; 1993.[2] Robinson D, Reid G. Interferogram analysis. Bristol: Institute of Physics Publishing; 1993.[3] Malacara D, editor. Optical shop testing. New York: Wiley Interscience; 1992.[4] Kreiss T. Holographic interferometry. Berlin: Akademie Verlag Series in Optical Metrology; 1996.[5] Mavoisin G, Brémard F, Lagarde A. Three-dimensional phase reconstruction by phase-shifting Shadow Moiré . Appl Opt 1994;33:2163–9.[6] Ladak H, Decraemer W, Dirckx J, Funnell WR. Systematic errors in small deformations measured by use of Shadow-Moiré topography. Appl Opt 2000;39:3266–74.[7] Shapira I, Voloshin A. Fractional Moiré fringe analysis by optimization. Opt Eng 1992;31:838–45.[8] D’Acquisto L, Fratini L, Siddiolo AM. A modified Moiré technique for three-dimensional surface topography. Meas Sci Tech 2002;13:613–22.[9] Yoshiwaza T, Tomisawa T. Shadow Moiré topography by means of the phase-shift method. Opt Eng 1993;32:1668–74.[10] Xie X, Atkinson J, Lalor M, Burton D. Three-map absolute Moiré contouring. Appl Opt 1996;35:6990–5.[11] Xie X, Lalor M, Burton D, Shaw M. Four-map absolute distance contouring. Opt Eng 1997;36:2517–20.[12] Arai Y, Yokozeki S, Yamada T. Fringe-scanning method using a general function for Shadow Moiré Appl Opt 1995;34:4877–82.[13] Quiroga JA, Gómez-Pedrero, J. A., García-Botella, A. Algorithm for fringe pattern normalization. Opt Commun 2001;197:43–51.[14] Quiroga JA, Gómez-Pedrero, Terrón-López M J, Servín M. Temporal demodulation of fringe patterns with sensitivity change. Opt Commun 2005;253:266–75.[15] Ghiglia D, Pritt M. Two-dimensional phase unwrapping: theory, algorithms, and software. New York: Wiley; 1998. NO © 2006 Elsevier Ltd. This work has been financially supported by the Spanish Ministry of Science andEducation; project DPI2002-02104. NO Spanish Ministry of Science and Education DS Docta Complutense RD 3 may 2024