2020/10/03 by Damián Wesenberg, Wesenberg, Damián
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Base (topology) #Combinatorics #Geometry #Mathematical analysis #Mathematics #Mathematics and Applications #Plane (geometry) #Plane curve #Point (geometry) #Point processes and geometric inequalities #Rotation (mathematics) #Rotation number #Winding number #math.AT #math.GT
paper · pdf · doi:10.48550/arxiv.2010.01422
arxiv created 2020/10/03 · arxiv updated 2020/10/06
We give a new formula for the rotation number (or Whitney index) of a smooth closed plane curve. This formula is obtained from the winding numbers associated with the regions and the crossing points of the curve. One difference with the classic Whitney formula is that ours does not need a base point.