Curve growth is a specific use case of the differential growth algorithm in advanced geometry modeling, which mimics morphogenesis and is based on the natural growth of plant cells.

Differential growth is a deterministic algorithm to grow structured point clouds. Iteratively the algorithm is (1) relaxing and (2) inserting points to a structured point cloud. A NURBS-curve is a structure in computational geometry based on control points, which are interfaced by the differential growth algorithm and allow this geometry type to grow.

The algorithm for this project is implemented with C# in Grasshopper using the Rhinoceros 3D SDK.