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Updated task_categories and tags

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  1. README.md +13 -10
README.md CHANGED
@@ -24,18 +24,21 @@ authors:
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  pretty_name: EuLearn
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  size_categories:
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  - 10B<n<100B
 
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  ---
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  # Dataset Description
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  This dataset contains 3D objects representing a topologically diverse collection of surfaces, each generated from closed, parameterized curves with varying number of self-intersections (singular knots). The surfaces are organized by topological genus, ranging from 0 to 10, so each genus has its own subdirectory. Each surface comprises four files:
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- - Non-smoothed STL mesh (*_ns.stl): A 3D mesh of the surface with sharp geometry and unmodified vertex positions. This version retains the raw output of the surface reconstruction algorithm.
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- - Smoothed STL mesh: A geometrically smoothed version of the *_ns.stl surface, generated using Laplacian vertex smoothing in Blender. This process adjusts vertex positions to reduce sharp edges and improve regularity, modifying surface area and volume while preserving the mesh connectivity and topological features (e.g., genus and Euler characteristic).
 
 
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- - Scalar field (*_sf.txt): A plain-text file encoding the scalar field used to generate the surface via the Marching Cubes algorithm. The isosurface at level 0 defines the mesh geometry in the *_ns.stl file.
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- - Blow-up profile (*_bup.txt): A plain-text file containing the radius at each point along the discretized curve. These radii define the thickness of the tubular neighborhood used to generate the scalar field.
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  ## Filename Encoding Convention
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@@ -63,13 +66,13 @@ g7_lissajous_3,5,8,0,pi2,0_03_1.1_0.2_r0.02_0.029_v90.stl
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  - `r0.02_0.029`: Minimum and maximum radius of the tubular neighborhood.
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  - `v90`: Voxel resolution per axis. While v90 nominally refers to a 90 × 90 × 90 voxel grid, an offset of 5 voxels per side was added to prevent surface clipping at the bounding box edges.
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  As a result, the actual scalar field is discretized into 101 × 101 × 101 = 1,030,301 grid points, yielding 1,000,000 voxels in total.
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- - `.stl`: File extension. This denotes the *smoothed* version of the surface mesh.
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-
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- Other file variants use suffixes to indicate their content:
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- - `_ns.stl`: The non-smoothed surface mesh, output directly from the Marching Cubes algorithm (raw geometry).
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- - `_sf.txt`: The scalar field used to generate the surface.
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- - `_bup.txt`: The blow-up profile (e.g., radius function samples or analytical envelope).
 
 
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  # Acknowledgements
 
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  pretty_name: EuLearn
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  size_categories:
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  - 10B<n<100B
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+
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  ---
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  # Dataset Description
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  This dataset contains 3D objects representing a topologically diverse collection of surfaces, each generated from closed, parameterized curves with varying number of self-intersections (singular knots). The surfaces are organized by topological genus, ranging from 0 to 10, so each genus has its own subdirectory. Each surface comprises four files:
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+ - __Non-Smoothed STL Mesh__ (`*_ns.stl`): A 3D mesh of the surface with sharp geometry and unmodified vertex positions. This version retains the raw output of the Marching Cubes algorithm.
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+ - __Smoothed STL Mesh__ (`.stl`): A geometrically smoothed version of the `*_ns.stl` surface, generated using Laplacian vertex smoothing in Blender.
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+
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+ - This process adjusts vertex positions to reduce sharp edges and improve regularity, modifying surface area and volume while preserving the mesh connectivity and topological features (e.g., genus and Euler characteristic).
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+ - __Scalar Field__ (`*_sf.txt`): A plain-text file encoding the scalar field used to generate the surface via the Marching Cubes algorithm. The isosurface at level 0 defines the mesh geometry in the `*_ns.stl` file.
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+ - __Blow-up Profile__ (`*_bup.txt`): A plain-text file containing the radius at each point along the discretized curve. These radii define the thickness of the tubular neighborhood used to generate the scalar field.
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  ## Filename Encoding Convention
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  - `r0.02_0.029`: Minimum and maximum radius of the tubular neighborhood.
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  - `v90`: Voxel resolution per axis. While v90 nominally refers to a 90 × 90 × 90 voxel grid, an offset of 5 voxels per side was added to prevent surface clipping at the bounding box edges.
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  As a result, the actual scalar field is discretized into 101 × 101 × 101 = 1,030,301 grid points, yielding 1,000,000 voxels in total.
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+ - `.stl`: File extension. This denotes the __smoothed__ version of the surface mesh.
 
 
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+ As mentioned above, the other file types use the following suffixes to indicate their content:
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+
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+ - `_ns.stl`: The non-smoothed surface mesh, output directly from the Marching Cubes algorithm (raw geometry).
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+ - `_sf.txt`: The scalar field used to generate the surface.
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+ - `_bup.txt`: The blow-up profile, i.e., the radius function discretization for the analytical envelope.
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  # Acknowledgements