Review Article Volume 1 Issue 1 - 2025

Manipulating Sonar Bathymetry into Virtual Reality Using Adaptive Terrain and Graph-Theoretic Meshing Algorithms to Acquisition World War II U.S. Navy Liberty Vessels in the Gulf of Mexico Utilizing the Hadoop Ecosystem

Wilbert A McClay1-15* and Elaine Stewart McClay16-18

1Department of Linguistics, Tulane University, New Orleans, Louisiana, USA

2Labstream Corporation, St. Charles, Missouri and Los Angeles, California, USA

3U.S. Navy, New Orleans, Louisiana, USA

4Department of Criminal Justice and Forensics, University of New Haven, West Haven, CT, USA

5Tulane University School of Engineering, New Orleans, Louisiana, USA

6Department of Information Systems, Northeastern University, Boston, Massachusetts, USA

7U.S. Department of Defense, Washington, DC, USA

8U.S. Department of Energy, Washington, DC, USA

9Danish Defense Forces, Copenhagen, Denmark

10Wolfsmilch Drones, O’Fallon, Missouri, USA

11Lawrence Livermore National Laboratory, Livermore, California, USA

12Brandeis University, Waltham, Massachusetts, USA

13Harvard University, Cambridge, Massachusetts, USA

14JustUs Youth Development Automated Behavioral Analysis Corporation, St. Charles, Missouri, USA

15Southern University and A&M College, Baton Rouge, Louisiana

16Fisk University, Nashville, Tennessee, USA

17Whittier University, Whittier, California, USA

18Smith College School of Social Work, Northampton, Massachusetts, USA

*Corresponding Author: Wilbert A McClay, Department of Linguistics, Tulane University, New Orleans, LA, USA. Email ID: wmcclay@tulane.edu.
Received: April 15, 2025; Published: January 19, 2026



The incentive for this article is to design a virtual environment that fosters the use of uniform and nonuniform gridding tactics to handle large-scale bathymetry data. The understanding of depth and sonar imagery has been a growing interest of many oceanographers and scientists, hence proper handling of massive sonar data could improve coverage of the sea terrain. The bathymetry data will be acquired from the World War II U.S. Navy Liberty Vessels sunken in the Gulf of Mexico. The implementation of these non-uniform gridding tactics should prove worthwhile, allowing finer resolution and approximation of the data set while utilizing a lower dimension of the data set. Heuristic terrain simplification algorithms are based upon the fundamentals of divide and conquer algorithms in greedy programming. The simplification method proposed in this work is a multi-pass decimation method, which begins with a Delaunay triangulation of the input data of 167,358 triangles and then a reduction to 83,679 triangles to remove outliers. Hence, the results of the heuristic terrain simplification algorithm produced a significant 50% percent compression ratio with optimal connectivity of the bathymetric data and still produced an accurate approximation of the bathymetric data set. The estimation of the terrain simplification algorithm granted exemplary results with respect to triangular compression, where in the original image was composed of 167,358 triangles was easily parsed into the Hadoop Ecosystem with Apache Spark Directed Acyclic Graph Engine (DAG) with Apache Scala utilization to formulate Resilient Distributed Data Sets for Amazon AWS Apache Cassandra (NoSQL Databases) to demonstrate quintessential optimization and scalability for sonar bathymetric data compression.

Keywords: Bathymetry; Delaunay Triangulation; Minimal Spanning Trees; Uniform Gridding; Hadoop Ecosystem; Apache Spark Directed Acyclic Graph(s) DAG; Apache Scala; Amazon AWS; Apache Cassandra

  1. Duda and Hart. “Pattern classification and scene analysis”. Addison and Wesley (1982).
  2. Duda., et al. “Pattern classification”. John Wiley & Sons (2012).
  3. Earnshawn RA., et al. “Scientific visualization”. Addison and Wesley (1992).
  4. Garland and Heckbart. “Fast polygon and approximation of terrain and height fields”. Carnegie Mellon (1997).
  5. Abraham Kandel. “Fuzzy mathematical techniques with applications”. Addison and Wesley (1986).
  6. Craig Lindley. “Practical image processing in C”. John Wiley and Sons, Inc., (1991).
  7. O’Rourke. “Computational geometry in C”. Second Edition, Cambridge University Press (1998).
  8. Ronald L Rivest., et al. “Introduction to algorithms”. Massachusetts Institute Technology Press (1993).
  9. , et al. “Numerical grid generation”. North-Holland (1985).
  10. McClay WA., et al. “A real-time magnetoencephalography brain-computer interface using interactive 3d-visualization and the Hadoop ecosystem”. Journal of Brain Sciences 4 (2015): 419-440.
  11. MongoDB (2018).
  12. Attias H. “ICA, graphical models, and variational methods”. In: Independent component analysis: principles and practice; Roberts S, Everson R, Eds.; Cambridge University Press: Cambridge, UK (2001): 95-112.
  13. Smith KT. “Big data security: The evolution of Hadoop’s security model” (2013).
  14. Rodriguez M. “Big graph data on Hortonworks data platform” (2012).
  15. The Apache HBase Reference Guide, 2014 Apache Software Foundation (2015).
  16. Aven Jeffrey. “Sams Teach Yourself Apache Spark”. SAMS (2016).
  17. McClay WA. “A magnetoencephalographic/encephalographic (MEG/EEG) brain-computer interface driver for interactive iOS mobile videogame applications utilizing the Hadoop ecosystem, MongoDB, and Cassandra NoSQL databases”. Diseases 4 (2018): 89.
  18. McClay W., et al. “Amplitude modulated phase only filtering and high dimensional warping for registration on MRI images”. Proceedings SPIE 6310, Photonic Devices and Algorithms for Computing VIII, 63100P (2006).
  19. Wilbert A McClay. “Mobile data and individual client diagnostic acquisition from PGWS call analysis utilizing spark and the Hadoop ecosystem”. Journal of Remote Sensing and GIS (2016).
  20. “World War II Liberty Vessel Photographic Images”, https://www.flickr.com.
  21. Attias H. “Planning by probabilistic inference”. In Proceedings of the Ninth International Workshop on Artificial Intelligence and Statistics, Key West, FL, USA (2003).

Wilbert A McClay and Elaine Stewart McClay. “Manipulating Sonar Bathymetry into Virtual Reality Using Adaptive Terrain and Graph-Theoretic Meshing Algorithms to Acquisition World War II U.S. Navy Liberty Vessels in the Gulf of Mexico Utilizing the Hadoop Ecosystem”. EC Oceanography  1.1 (2025): 01-27.