SerialTrack: ScalE and Rotation Invariant Augmented Lagrangian Particle Tracking

TL;DR

SerialTrack is a novel particle tracking algorithm that combines local and global methods to accurately track large deformations and rotations in 2D and 3D fields, using scale and rotation invariant features.

Contribution

It introduces a scale and rotation invariant topology-based feature and a global augmented Lagrangian constraint for improved particle tracking accuracy.

Findings

Effective in resolving large deformation and rotational motion.

Applicable to both 2D and 3D deformation fields.

Open source implementation available.

Abstract

We present a new particle tracking algorithm to accurately resolve large deformation and rotational motion fields, which takes advantage of both local and global particle tracking algorithms. We call this method the ScalE and Rotation Invariant Augmented Lagrangian Particle Tracking (SerialTrack). This method builds an iterative scale and rotation invariant topology-based feature for each particle within a multi-scale tracking algorithm. The global kinematic compatibility condition is applied as a global augmented Lagrangian constraint to enhance the tracking accuracy. An open source software package implementing this numerical approach to track both 2D and 3D, incremental and cumulative deformation fields is provided.