HexaShrink, an exact scalable framework for hexahedral meshes with attributes and discontinuities: multiresolution rendering and storage of geoscience models

Jean-Luc Peyrot (1) , Laurent Duval (2) , Frédéric Payan (1) , Lauriane Bouard (2) , Lenaic Chizat (2) , Sébastien Schneider , Marc Antonini

1 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Projet MEDIACODING
2 IFPEN - IFP Energies nouvelles

With huge data acquisition progresses realized in the past decades and acquisition systems now able to produce high resolution point clouds, the digitization of physical terrains becomes increasingly more precise. Such extreme quantities of generated and modeled data greatly impact computational performances on many levels: storage media, memory requirements, transfer capability, and finally simulation interactivity, necessary to exploit this instance of big data. Efficient representations and storage are thus becoming ``enabling technologies'' in simulation science. We propose HexaShrink, an original decomposition scheme for structured hexahedral volume meshes. The latter are used for instance in biomedical engineering, materials science, or geosciences. HexaShrink provides a comprehensive framework allowing efficient mesh visualization and storage. Its exactly reversible multiresolution decomposition yields a hierarchy of meshes of increasing levels of details, in terms of either geometry, continuous or categorical properties of cells. Starting with an overview of volume meshes compression techniques, our contribution blends coherently different multiresolution wavelet schemes. It results in a global framework preserving discontinuities (faults) across scales, implemented as a fully reversible upscaling. Experimental results are provided on meshes of varying complexity. They emphasize the consistency of the proposed representation, in terms of visualization, attribute downsampling and distribution at different resolutions. Finally, HexaShrink yields gains in storage space when combined to lossless compression techniques.

Mots clés: Hexahedral volume meshes; Geometrical discontinuities; Discrete wavelet transform; Big-data; Simulation; Compression; Corner point grid; Multiscale methods; Upscaling; High-performance Computing

Domaines: Traitement du signal et de l'image [eess.SP]; Géométrie algorithmique [cs.CG]; Vision par ordinateur et reconnaissance de formes [cs.CV]; Algorithme et structure de données [cs.DS]; Analyse fonctionnelle [math.FA]; Géophysique [physics.geo-ph]; Sciences de la Terre; Traitement du signal et de l'image [eess.SP]; Modélisation et simulation

Jean-Luc Peyrot, Laurent Duval, Frédéric Payan, Lauriane Bouard, Lenaic Chizat, et al.. HexaShrink, an exact scalable framework for hexahedral meshes with attributes and discontinuities: multiresolution rendering and storage of geoscience models. Computational Geosciences, In press, ⟨10.1007/s10596-019-9816-2⟩. ⟨hal-01857997v1⟩