Invariants of generic curves in the plane and on closed surfaces.
Undergraduate research project at NTU, School of Physical and Mathematical Sciences.
- systematize the knowledge on invariants of long and closed curves
- find ways to encode curves to work with them on a computer
- develop algorithms to compute invariants and estimate complexity of those algorithms
Supervisor: Fedor DUZHIN
Student: Zenas WONG:
MATLAB software to draw curves and calculate invariants.
Student: TAO Biaoshuai:
Research on explicit formulae for invariants of closed curves on the plane and on surfaces and of long curves.