Persistence-Weighted Descriptors: A Topologically Stable Local Feature Representation for Deformation-Robust Image Matching
This paper introduces PW-Desc, a topologically stable local feature descriptor that prioritizes mathematically proven stability guarantees under perturbations and photometric transforms over raw matching accuracy, making it specifically suitable for safety-critical applications like medical registration and forensic analysis despite trailing state-of-the-art learned methods in benchmark performance.