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When a paint brush is immersed in water, the bristles wave freely inside the water. When it is taken out, the bristles stick together. The reason behind this effect is surface tension.
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Surface tension varies...
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Topography involves measuring and mapping land elevations, natural features, and artificial structures to create accurate representations of the terrain. Topographic surveying relies on traditional and modern methods, each with distinct advantages and limitations.Traditional Surveying Methods:Transit stadia surveys and plane table surveys were widely used traditional surveying methods. These techniques relied on instruments like theodolites and stadia rods for measuring distances and angles,...
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Surface Mapping of Earth-like Exoplanets using Single Point Light Curves
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Digital Surface Regularization With Guarantees.

David Coeurjolly, Jacques-Olivier Lachaud, Pierre Gueth

    IEEE Transactions on Visualization and Computer Graphics
    |January 28, 2021
    PubMed
    Summary

    This study presents a variational approach for reconstructing interfaces in multi-labeled images. The method generates stable, piecewise smooth surfaces, enhancing digital surface and voxel art regularization.

    Area of Science:

    • Computer Graphics
    • Image Processing
    • Computational Geometry

    Background:

    • Voxel-based modeling offers efficient representation and interaction for complex multi-material objects.
    • Applications in material science, medical imaging, and simulations utilize labeled voxels for spatial partitioning.
    • Existing methods for interface reconstruction may struggle with non-manifold geometry and surface smoothness.

    Purpose of the Study:

    • To introduce a variational approach for reconstructing interfaces in multi-labeled digital images.
    • To develop a method that produces piecewise smooth, theoretically stable quadrangulated surfaces.
    • To demonstrate the tool's capability in digital surface regularization and voxel art enhancement.

    Main Methods:

    • A variational approach is employed for interface reconstruction in multi-labeled voxel data.

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  • The model naturally handles non-manifold geometry at intersecting interfaces.
  • The method generates piecewise smooth quadrangulated surfaces with stability guarantees.

    • Main Results:

    • The approach successfully reconstructs interfaces, yielding regularized digital surfaces.
    • Voxel art regularization is achieved by transferring colorimetric information to the generated quads.
    • Isotropic geodesics can be computed on the resulting digital surfaces.

    Conclusions:

    • The variational method provides a robust framework for interface reconstruction in voxel data.
    • The technique enhances both scientific visualization and artistic voxel-based modeling.
    • The generated surfaces offer improved properties for downstream geometric processing tasks.