Summary
Read the paper. The shape difference operator is decided by the map between the two manifolds, the inner product spaces on the two manifolds. And the shape difference operator can be written as a matrix if we can find a basis of the inner product space.
Analysis
The theory of my project is clear. The most difficult part is to compute the basis of the inner product space and compute the difference matrix under some typical basis. I'm working on the implementing part of the method. After that, I can apply the shape difference analysis on k-Curve. The implementing of k-Curve is done.
Plan for completion
Continue on the implementing of functional map and shape difference operator. Then apply it on k-Curve. If the result is not good, I need to slightly modify the method to apply on the weight of rational polynomial curve.