Core Strengths

The core areas of study contributing to our research vision and comprising intelligent vision are: mathematical control theory, applied statistics, machine learning, and computer vision.

Within these area, members of the IVALab have specialized expertise in:

• Control and Dynamical Systems Theory
  • Averaging theory; Geometric nonlinear control; Biologically-inspired locomotive systems; Optimization and optimal control; Differential geometry; and Geometric mechanics.
• Machine Learning
  • Manifold learning; Sampled estimation theory; and Dimension reduction.
• Applied Statistics
  • Component analysis (PCA, ICA, KPCA, ...); Robust statistics and outlier estimation; and Density analysis.
• Computer Vision
  • Target tracking; Estimation of scene geometry; and Detection.

Application Areas

Application domains of the core strengths are:

• Cellular tracking - the tracking of microbiological systems for automated temporal anaylsis.
  • estimation of cell motility and reproductive rates.
• Human surveillance
• Missile tracking - tracking of missiles through turbulence and other visual aberrations.
• Missile targetting - the ability to hone on a missile and control the trajectory of an intervention and destroy mechanism.
• Object tracking - ability to track a target subject to unpredictable trajectory changes and temporary occlusions.
• Object targetting - ability to maintain relative position with respect to an object subject to unpredictable motion.
• Autonomous navigation - ability of a vehicle to autonomously navigate through unknown environments.
• Assistive robotics - robots working in cooperation with- and support of- humans.
• Operations analysis - analysis of operations involving humans and mobile machinery in the same workspace.
  • safety analysis of construction sites, shipping ports, and airports.