Offset clarification in voxel resolution from filename encoding

README.md

@@ -25,13 +25,13 @@ size_categories:
 
 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:
 
-    * 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. An STL file of the same surface with smoothed faces.
+    * 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.
     
-    * Smoothed STL mesh: A geometrically smoothed version of the same 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).
+    * 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).
     
     * 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.
     
-    * Tubular radius 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 ("bup" stands for "blow-up").
+    * 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.
 
 ## Filename Encoding Convention
 
@@ -62,7 +62,7 @@ Each component encodes specific geometric and topological information:
 
   
 - **`r0.02_0.029`**: Minimum and maximum radius values of the tubular neighborhood.
-- **`v90`**: Voxel resolution per axis. Here, the scalar field is discretized into a 90 × 90 × 90 grid (totaling 729,000 voxels).
+- **`v90`**: Voxel resolution per axis. While v90 nominally refers to a 90 × 90 × 90 voxel grid, an offset of at least 5 voxels per side (sometimes 10 or 15) was added to prevent surface clipping at the bounding box edges. As a result, the actual scalar field is discretized into 101 × 101 × 101 grid points (vertices), yielding 1,000,000 voxels in total. This expanded grid ensures sufficient padding around the surface geometry. 
 - **`.stl`**: File extension. This denotes the *smoothed* version of the surface mesh.
 
 Other file variants use suffixes to indicate their content: