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    Area of Science:

    • Computer Graphics
    • Scientific Visualization
    • Computational Geometry

    Background:

    • Unstructured volumetric grids present challenges in preprocessing and rendering performance.
    • Existing methods often require auxiliary connectivity data and extensive offline preprocessing.
    • Bounding Volume Hierarchies (BVHs) can be memory-intensive when applied to individual elements.

    Purpose of the Study:

    • To develop a method for clustering finite elements to improve rendering performance and reduce preprocessing times.
    • To enhance the efficiency of unstructured volumetric grid visualization without auxiliary connectivity data.
    • To enable high-quality interactive visualization on consumer graphics hardware.

    Main Methods:

    • Elements are sorted along a Hilbert curve to aggregate neighboring elements, reducing BVH memory consumption.
    • On-the-fly mesh clustering and re-indexing create sub-meshes for efficient ray tracing.
    • Adaptive sampling guided by maximum extinction bins and ray-aligned bins optimizes sample placement.

    Main Results:

    • Rendering performance on the NASA Mars Lander dataset improved by 6x (up to 6 fps, 12.4 M rps) with volumetric shadows.
    • Memory consumption was reduced by 3x (from 33 GB to 11 GB).
    • Performance was further boosted by 17x (up to 17 fps, 35.6 M rps) using an RTX 8000 GPU.

    Conclusions:

    • The proposed Hilbert curve-based clustering and on-the-fly re-indexing method effectively improves rendering speed and reduces memory footprint.
    • The approach eliminates the need for offline preprocessing, enabling interactive visualization of complex volumetric data.
    • This technique offers significant advantages for real-time scientific visualization applications.