Global measurement of water waves by Fourier transform profilometry

In this paper, we present an optical profilometric technique that allows for single-shot global measurement of free-surface deformations. This system consists of a high-resolution system composed of a videoprojector and a digital camera. A fringe pattern of known characteristics is projected onto th...

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Published in:	Experiments in fluids Vol. 46; no. 6; pp. 1037 - 1047
Main Authors:	Cobelli, Pablo Javier, Maurel, Agnès, Pagneux, Vincent, Petitjeans, Philippe
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01-06-2009 Springer Springer Verlag (Germany)
Subjects:	Cameras Deformation Dynamical systems Engineering Engineering Fluid Dynamics Engineering Thermodynamics Exact sciences and technology Fluid dynamics Fluid flow Fluid- and Aerodynamics Fluids Fourier transforms Fundamental areas of phenomenology (including applications) Heat and Mass Transfer Hydrodynamic waves Instrumentation for fluid dynamics Physics Research Article Slopes Vortex Core Spiral Wave Vortex Fringe Pattern Particle Image Velocimetry Spiral shape Test facilities Fourier transformation Surface waves Vortices Wave forms Free surface flow Optical systems Interactions Experimental study Profilometry
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Abstract	In this paper, we present an optical profilometric technique that allows for single-shot global measurement of free-surface deformations. This system consists of a high-resolution system composed of a videoprojector and a digital camera. A fringe pattern of known characteristics is projected onto the free surface and its image is registered by the camera. The deformed fringe pattern arising from the surface deformations is later compared to the undeformed (reference) one, leading to a phase map from which the free surface can be reconstructed. Particularly, we are able to project wavelength-controlled sinusoidal fringe patterns, which considerably increase the overall performance of the technique and the quality of the reconstruction compared to that obtained with a Ronchi grating. In comparison to other profilometric techniques, it allows for single-shot non-intrusive measurement of surface deformations over large areas. In particular, our measurement system and analysis technique is able to measure free surface deformations with sharp slopes up to 10 with a 0.2 mm vertical resolution over an interrogation window of size 450 × 300 mm 2 sampled on approximately 6.1 × 10 6 measurement points. Some illustrative examples of the application of this measuring system to fluid dynamics problems are presented.
AbstractList	In this paper, we present an optical profilometric technique that allows for single-shot global measurement of free-surface deformations. This system consists of a high-resolution system composed of a videoprojector and a digital camera. A fringe pattern of known characteristics is projected onto the free surface and its image is registered by the camera. The deformed fringe pattern arising from the surface deformations is later compared to the undeformed (reference) one, leading to a phase map from which the free surface can be reconstructed. Particularly, we are able to project wavelength-controlled sinusoidal fringe patterns, which considerably increase the overall performance of the technique and the quality of the reconstruction compared to that obtained with a Ronchi grating. In comparison to other profilometric techniques, it allows for single-shot non-intrusive measurement of surface deformations over large areas. In particular, our measurement system and analysis technique is able to measure free surface deformations with sharp slopes up to 10 with a 0.2 mm vertical resolution over an interrogation window of size 450 A 300 mm2 sampled on approximately 6.1 A 106 measurement points. Some illustrative examples of the application of this measuring system to fluid dynamics problems are presented. In this paper, we present an optical profilometric technique that allows for single-shot global measurement of free-surface deformations. This system consists of a high-resolution system composed of a videoprojector and a digital camera. A fringe pattern of known characteristics is projected onto the free surface and its image is registered by the camera. The deformed fringe pattern arising from the surface deformations is later compared to the undeformed (reference) one, leading to a phase map from which the free surface can be reconstructed. Particularly, we are able to project wavelengthcontrolled sinusoidal fringe patterns, which considerably increase the overall performance of the technique and the quality of the reconstruction compared to that obtained with a Ronchi grating. In comparison to other profilometric techniques, it allows for single-shot non-intrusive measurement of surface deformations over large areas. In particular, our measurement system and analysis technique is able to measure free surface deformations with sharp slopes up to 10 with a 0.2 mm vertical resolution over an interrogation window of size 450 9 300 mm 2 sampled on approximately 6.1 9 10 6 measurement points. Some illustrative examples of the application of this measuring system to fluid dynamics problems are presented. In this paper, we present an optical profilometric technique that allows for single-shot global measurement of free-surface deformations. This system consists of a high-resolution system composed of a videoprojector and a digital camera. A fringe pattern of known characteristics is projected onto the free surface and its image is registered by the camera. The deformed fringe pattern arising from the surface deformations is later compared to the undeformed (reference) one, leading to a phase map from which the free surface can be reconstructed. Particularly, we are able to project wavelength-controlled sinusoidal fringe patterns, which considerably increase the overall performance of the technique and the quality of the reconstruction compared to that obtained with a Ronchi grating. In comparison to other profilometric techniques, it allows for single-shot non-intrusive measurement of surface deformations over large areas. In particular, our measurement system and analysis technique is able to measure free surface deformations with sharp slopes up to 10 with a 0.2 mm vertical resolution over an interrogation window of size 450 × 300 mm 2 sampled on approximately 6.1 × 10 6 measurement points. Some illustrative examples of the application of this measuring system to fluid dynamics problems are presented.
Author	Cobelli, Pablo Javier Petitjeans, Philippe Pagneux, Vincent Maurel, Agnès
Author_xml	– sequence: 1 givenname: Pablo Javier surname: Cobelli fullname: Cobelli, Pablo Javier email: cobelli@pmmh.espci.fr organization: Laboratoire de Physique et Mécanique des Milieux Hétérogènes, UMR CNRS 7636, École Supérieure de Physique et de Chimie Industrielles – sequence: 2 givenname: Agnès surname: Maurel fullname: Maurel, Agnès organization: Laboratoire Ondes et Acoustique, UMR CNRS 7587, École Supérieure de Physique et de Chimie Industrielles – sequence: 3 givenname: Vincent surname: Pagneux fullname: Pagneux, Vincent organization: Laboratoire d’Acoustique de l’Université du Maine, UMR CNRS 6613 – sequence: 4 givenname: Philippe surname: Petitjeans fullname: Petitjeans, Philippe organization: Laboratoire de Physique et Mécanique des Milieux Hétérogènes, UMR CNRS 7636, École Supérieure de Physique et de Chimie Industrielles
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Keywords	Vortex Core Spiral Wave Vortex Fringe Pattern Particle Image Velocimetry Spiral shape Test facilities Fourier transformation Surface waves Vortices Wave forms Free surface flow Optical systems Interactions Experimental study Profilometry
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Snippet	In this paper, we present an optical profilometric technique that allows for single-shot global measurement of free-surface deformations. This system consists...
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SubjectTerms	Cameras Deformation Dynamical systems Engineering Engineering Fluid Dynamics Engineering Thermodynamics Exact sciences and technology Fluid dynamics Fluid flow Fluid- and Aerodynamics Fluids Fourier transforms Fundamental areas of phenomenology (including applications) Heat and Mass Transfer Hydrodynamic waves Instrumentation for fluid dynamics Physics Research Article Slopes
Title	Global measurement of water waves by Fourier transform profilometry
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