HexaShrink 4 mesh

Decomposition tool for Hexahedral meshes used in Geosciences:

Multi-resolution decomposition of the grid geometry and associated properties.

Geological grid at multi-resolutions, with structural discontinuities preservation (faulted structures)

Geological grid structures and discontinuities preservation (red faults)

Categorical property associated to a geological grid at multi resolutions: 32 rocks type represented

Categorical property: rock type

Continuous property associated to a geological grid at multi resolutionss: porosity (0%-0.3%)

Continuous property: porosity

HexaShrink, an Exact Scalable Framework for Hexahedral Meshes with Attributes and Discontinuities: Multiresolution Rendering ans Strorage of Geoscience Models.

Jean-Luc Peyrot and Laurent Duval and Frédéric Payan and Lauriane Bouard and Lénaïc Chizat and Sébastien Schneider and Marc Antonini

Laurent Duval website - Submission page

Abstract : 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.