Parallel Transport on Kendall Shape Spaces

Nicolas Guigui, Elodie Maignant, Alain Trouvé, Xavier Pennec

Abstract: Kendall shape spaces are a widely used framework for the statistical analysis of shape data arising from many domains, often requiring the parallel transport as a tool to normalise time series data or transport gradient in optimisation procedures. We present an implementation of the pole ladder, an algorithm to compute parallel transport based on geodesic parallelograms and compare it to methods by integration of the parallel transport ordinary differential equation.