Update README.md

README.md

@@ -40,6 +40,17 @@ For each surface, we included the following four files:
     
   - __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.
 
+Each surface results from taking a tubular neighborhood and sinusoidal variations around Lissajous and Fibonacci parametrized curves.
+
+The genus of each resulting surface is prescribed by the number of self-intersections of the generating curve. However, all elements in this dataset have been double-checked using the Euler characteristic function in Python’s trimesh module.
+
+The watertightness of the mesh surfaces is ensured by the construction method, which uses the Marching Cubes algorithm; see details in our [paper](https://arxiv.org/abs/2505.13539) (Section 5).
+
+## Dataset split
+
+For training, we recommend preserving balanced genus distributions and splitting the dataset into 80% training and 20% testing. Each dataset sample consists of a group of files with a common filename encoding, as explained in the following section.
+
+
 ## Filename Encoding Convention
 
 Filenames follow the pattern: