Parameter free torsion estimation of curves in 3D images
Christoph Blankenburg, Christian Daul, Joachim Ohser · 2016
Curvature and torsion of discrete curves are important quantities in numerous applications in 3D image processing. Classical algorithms based on high order derivatives lead to high errors when computing torsion of 3D curves with discrete data of low resolution. To face this challenge we present a discrete parameter free approach to calculate the torsion values without fitting continuous curves on the discrete data. The proposed approach does not require prior knowledge and is of complexity O(nlog(n)). Preliminary results obtained with the proposed algorithm are compared to reference data (ground truth) of analytically known test curves. Results are also given for tomographic 3D images.