I am working with the National Institute of Standards and Technology on calibrating six degree of freedom (6DoF) problems which has applications in manufacturing. For more information, check my CVIU paper.

I am also working on calculating a symmetry preserving singular value decomposition (SPSVD), which is a matrix factorization that gives the best symmetric low rank approximation to a set of data. This decomposition has applications in molecular dynamics and face detection. For more information, check my SIMAX paper.

papers [10] M. Shah, Solving the Robot-World/Hand-Eye Calibration Problem Using the Kronecker Product, ASME Journal of Mechanisms and Robotics, Volume 5, Issue 3 (2013).

[9] M. Shah, R. D. Eastman, T. Hong, An Overview of Robot-Sensor Calibration Methods for Evaluation of Perception Systems, Performance Metrics for Intelligent Systems, (2012).

[8] M. Shah, Comparing Two Sets of Corresponding Six Degree of Freedom Data, Computer Vision and Image Understanding, Volume 115, Issue 10 (2011), pp. 1355-1362.

[7] T. Chang, T. Hong, J. Falco, M. Shneier, R. Eastman, M. Shah, Methodology for Evaluating Static Six-Degree-of-Freedom
(6DoF) Perception Systems, Performance Metrics for Intelligent Systems, (2010).

[6] M. I. Shah, Symmetric Eigenfaces, Technical Report, Loyola University Maryland (2009), TR2009_01.

[5] M. Shah, T. Chang, T. Hong, R. Eastman, Mathematical Metrology for Evaluating a 6DOF Visual Servoing System, Performance Metrics for Intelligent Systems, (2009).

[4] M. I. Shah and D. C. Sorensen, Best Non-Spherical Symmetric Low Rank Approximation, SIAM Journal on Matrix Analysis and Applications, 31 (2009), pp. 1019-1039.

[3] M. I. Shah and D. C. Sorensen, A Symmetry Preserving Singular Value Decomposition, SIAM Journal on Matrix Analysis and Applications, 28 (2006), pp. 749-769.

[2] W. Wriggers, Z. Zhang, M. Shah, and D. C. Sorensen, Simulating Nanoscale Functional Motions of Biomolecules, Molecular Simulation, 32 (2006), pp. 803-815.

[1] D. C. Sorensen and M. Shah, Principal Component Analysis and Model Reduction for Dynamical Systems with Symmetry Constraints, European Control Conference (CDC-ECC), 2005, pp. 2260-2264.