Stereo wave imaging from moving vessels: Practical use and applications

Abstract Stereo wave imaging of the sea surface elevation has become an effective instrumentation to gather small- and medium-range 3-D wind wave data. Indeed, fruitful applications of stereo techniques have provided new insights into directional wave spectra, space–time distributions of wave maxima, and small-scale wave statistics. So far, however, stereo systems have been deployed mainly on fixed structures (e.g. oceanographic platforms or lighthouses) in order to simplify the installation and maintenance procedures. Nonetheless, advances in stereo calibration and processing suggest that stereo deployments are also feasible onboard moving vessels, thus broadening the impact of these observations on the study of wind waves. In this context, this study aims at discussing how the stereo processing designed to gather reliable wave data from fixed structures should be managed to operate on a moving structure. In particular, estimate of stereo cameras orientation and position with respect to the mean sea plane is of utmost importance. We discuss this aspect by using a synthetic sea state and stereo data collected during an oceanographic campaign onboard a research vessel. Results suggest that, without complementary data sources for ship motion compensation, the sea surface elevation field should include at least about sixteen spatial (2-D) waves to gather a robust estimate of the mean sea plane and consequently realistic wave parameters (e.g. the significant wave height). In this respect, our results provide also insight into the uncertainty of estimates in case of a limited number of 2-D waves is collected by the stereo system. Finally, applications of stereo wave imaging on a moving structure are discussed, with particular emphasis on the collection of space–time wave fields for assessment of numerical models and operational wave observation onboard vessels.

[1]  S. E. Rennie,et al.  Three-Dimensional Imaging of the High Sea-State Wave Field Encompassing Ship Slamming Events , 2010 .

[2]  Jake K. Aggarwal,et al.  Stochastic Analysis of Stereo Quantization Error , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Alexey Mironov,et al.  Detection of wave breaking using sea surface video records , 2007 .

[4]  Francesco Fedele,et al.  A Variational Stereo Method for the Three-Dimensional Reconstruction of Ocean Waves , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[5]  John Trinder,et al.  Wavenumber spectra of short gravity waves , 1989, Journal of Fluid Mechanics.

[6]  M. Longuet-Higgins The effect of non-linearities on statistical distributions in the theory of sea waves , 1963, Journal of Fluid Mechanics.

[7]  Andrea Torsello,et al.  Robust Camera Calibration using Inaccurate Targets , 2010, BMVC.

[8]  M. Tucker,et al.  Numerical simulation of a random sea: a common error and its effect upon wave group statistics , 1984 .

[9]  Bernd Jähne,et al.  Spatio-Temporal Image Processing , 1993, Lecture Notes in Computer Science.

[10]  Luc Van Gool,et al.  Speeded-Up Robust Features (SURF) , 2008, Comput. Vis. Image Underst..

[11]  T. Barnett,et al.  Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP) , 1973 .

[12]  A. Benetazzo,et al.  Operational models hierarchy for short term marine predictions: The Adriatic Sea example , 2013, 2013 MTS/IEEE OCEANS - Bergen.

[13]  A. Cavanié,et al.  A statistical relationship between individual heights and periods of storm waves , 1976 .

[14]  Alexander V. Babanin,et al.  Breaking Probability for Dominant Waves on the Sea Surface , 2000 .

[15]  Bernd Jähne,et al.  Two-dimensional wave number spectra of small-scale water surface waves , 1990 .

[16]  Judith Wolf,et al.  Methods for intercomparison of wave measurements , 1999 .

[17]  Vladimir E. Zakharov,et al.  Energy Spectrum for Stochastic Oscillations of the Surface of a Liquid , 1967 .

[18]  Heiko Hirschmüller,et al.  Stereo Processing by Semiglobal Matching and Mutual Information , 2008, IEEE Trans. Pattern Anal. Mach. Intell..

[19]  A. Osborne,et al.  Freely decaying weak turbulence for sea surface gravity waves. , 2002, Physical review letters.

[20]  Fabien Leckler Observation et modélisation du déferlement des vagues , 2013 .

[21]  Luc Van Gool,et al.  SURF: Speeded Up Robust Features , 2006, ECCV.

[22]  Anthony Yezzi,et al.  Space–time measurements of oceanic sea states , 2013 .

[23]  D. Hill,et al.  Remote sensing of surf zone waves using stereo imaging , 2011 .

[24]  Robert N. Swift,et al.  Airborne Measurements of the Wavenumber Spectra of Ocean Surface Waves. Part I: Spectral Slope and Dimensionless Spectral Coefficient* , 2000 .

[25]  Alvise Benetazzo,et al.  Analysis and Interpretation of Frequency-Wavenumber Spectra of Young Wind Waves , 2015 .

[26]  V. Dulov,et al.  Extraction of short wind wave spectra from stereo images of the sea surface , 2010 .

[27]  A. Yezzi,et al.  Offshore stereo measurements of gravity waves , 2012 .

[28]  Howard Schultz,et al.  Retrieval of short ocean wave slope using polarimetric imaging , 2008 .

[29]  M. Longuet-Higgins On the joint distribution of the periods and amplitudes of sea waves , 1975 .

[30]  A. Benetazzo Measurements of short water waves using stereo matched image sequences , 2006 .

[31]  J. Thomson,et al.  A Horizon-Tracking Method for Shipboard Video Stabilization and Rectification* , 2015 .

[32]  Leo H. Holthuijsen,et al.  Waves in Oceanic and Coastal Waters , 2007 .

[33]  F. Barbariol,et al.  Italian seas wave extremes: a preliminary assessment , 2015, Rendiconti Lincei.

[34]  Wim Dewulf,et al.  A test object with parallel grooves for calibration and accuracy assessment of industrial CT metrology , 2011 .

[35]  E. Rogers,et al.  Semi-empirical dissipation source functions for ocean waves: Part I, definition, calibration and validation. Fabrice ArdhuinJean-Francois Filipot and Rudy Magne Service Hydrographique et Oceanographique de la Marine, Brest, France , 2010 .

[36]  Charles-Antoine Guérin,et al.  Statistical characterization of short wind-waves from stereo images of the sea surface , 2012 .

[37]  S. Shankar Sastry,et al.  An Invitation to 3-D Vision: From Images to Geometric Models , 2003 .

[38]  W. Melville,et al.  Spatial Statistics of the Sea Surface in Fetch-Limited Conditions , 2011 .

[39]  Delun Xu,et al.  On the distributions of wave periods, wavelengths, and amplitudes in a random wave field , 2004 .

[40]  W. K. Melville,et al.  Estimates of the joint statistics of amplitudes and periods of ocean waves using an integral transform technique , 1984 .

[41]  Claudia Felser,et al.  Lattice-site-specific spin dynamics in double perovskite Sr2CoOsO6. , 2013, Physical review letters.

[42]  Vladimir I. Piterbarg,et al.  Asymptotic Methods in the Theory of Gaussian Processes and Fields , 1995 .

[44]  F. Barbariol,et al.  Space–Time Wave Extremes: The Role of Metocean Forcings , 2015 .

[45]  Andrea Torsello,et al.  Imposing Semi-Local Geometric Constraints for Accurate Correspondences Selection in Structure from Motion: A Game-Theoretic Perspective , 2011, International Journal of Computer Vision.

[46]  David Nistér,et al.  An efficient solution to the five-point relative pose problem , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[47]  Paul C. Liu Contemplating Ocean Wave Measurements , 2013 .

[48]  Andreas Niedermeier,et al.  Detection of ocean wave groupiness from spaceborne synthetic aperture radar , 2004 .

[49]  F Dias,et al.  Linking reduced breaking crest speeds to unsteady nonlinear water wave group behavior. , 2014, Physical review letters.

[50]  F. Fedele Space-Time Extremes in Short-Crested Storm Seas , 2012 .

[51]  Andrea Torsello,et al.  Observation of Extreme Sea Waves in a Space–Time Ensemble , 2015 .

[52]  W. Melville,et al.  Airborne Observations of Fetch-Limited Waves in the Gulf of Tehuantepec , 2010 .

[53]  N. Booij,et al.  A third-generation wave model for coastal regions-1 , 1999 .

[54]  R. Adler,et al.  Random Fields and Geometry , 2007 .

[55]  Owen M. Phillips,et al.  On the Response of Short Ocean Wave Components at a Fixed Wavenumber to Ocean Current Variations , 1984 .

[56]  E. Rogers,et al.  Semiempirical Dissipation Source Functions for Ocean Waves. Part I: Definition, Calibration, and Validation , 2009, 0907.4240.