SerialTrack: ScalE and rotation invariant augmented Lagrangian particle tracking

Abstract

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

Keywords

• Particle tracking
• Topology-based feature vector
• Augmented Lagrangian
• Finite deformation