2025/09/18 by Jonathan Strange, Strange, Jonathan, Ryan Blair +3
Computer Science · #Cryptography and Residue Arithmetic #Digital Image Processing Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Image and Object Detection Techniques
paper · pdf · doi:10.48550/arxiv.2509.15104
openalex publication_date 2025/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe a method by which the number of intersections one ellipse makes inside the plane of another can be determined. The method is based on applying a transformation that reverts one ellipse to the unit circle, and examining the intersection points of the transformed second ellipse with the unit circle. This may be used to efficiently determine Hopf linking between two ellipses, or Borromean linking between three ellipses.