Mathematics and StatisticsTom Asaki

Tom Asaki

  1. Emeritus
  2. Associate Prof, Tenure Track
Email Addresstasaki@wsu.edu
LocationNeill 228

Biography

My research is inspired by my varied background in applied mathematics and physics with a focus on image and data analysis problems relevant to the sciences. Recent work includes (a) imaging and inverse problems with non-stationary transfer functions, (b) feature extraction and noise removal in data and images, (c) resonant ultrasound spectroscopic methods (d) specialized tomographic analysis for high-energy and security applications and (e) application inspired pedagogical strategies in linear algebra and analysis.

Education

  • PhD Physics, Washington State University, 1995
  • BS Physics, Cal State Long Beach, 1988

Publications

Books and Book Chapters

  • [2024] (Chapter) HM. Snipes, H. A. Moon and T. J. Asaki, “Application-Inspired Real Analysis: Image Denoising,” in Cross-Curricular Applications for Pure Mathematics Courses.
  • [2022] H. A. Moon, T. J. Asaki and M. Snipes, “Application-Inspired Linear Algebra,” SUMAT Springer Undergraduate Texts in Mathematics and Technology, Springer, 2022.

Peer-Reviewed Publications

  • [2024] S. J. Glenn, Z. Gentry-Lear, M. Shavlik, M. J. Harms, T. J. Asaki, and A. Baylink, “Bacterial vampirism mediated through taxis to serum,” elife, 2024, doi:10.7554/eLife.93178.2
  • [2022] H. A. Moon, T. J. Asaki and M. Snipes, “Using Real-Life Applications to Inspire a Deeper Appreciation of Eigenvectors,” IMAGE, 68, 2022.
  • [2021] R. Sadnan, T. J. Asaki and A. Dubey, “Online Distributed Optimization in Radial Power Distribution Systems: Closed-Form Expressions,” IEEE International Conference on Communications, Control, and Computing Technologies for Smart Grids (SmartGridComm), 2021.
  • [2021] M. Rezapour and T. J. Asaki, “Adaptive Trust Region Algorithms for Unconstrained Optimization,” Optimization Methods and Software, 36 (5), 2021.
  • [2020] M. Rezapour, A. Sijuwade and T. J. Asaki, “A sigmoidal fractional derivative for regularization,” AIMS Mathematics 5(4) (2020): 2384–2397.
  • [2019] T. J. Asaki and H. A. Moon, “Anisotropic variation formulas for imaging applications,” AIMS Mathematics, 4 (math-04-03-576), 2019.
  • [2015] H. A. Moon and T. J. Asaki, “A Finite Hyperplane Traversal Algorithm For 1-Dimensional L1 pTV Minimization, For 0 < p ≤ 1,” Computational Optimization and Applications, 61 (3), 2015.
  • [2014] S. Ibrahim, K. Sonnanberg, T. J. Asaki and K. R. Vixie, “Nonasymptotic Densities for Shape Reconstruction,” Abstract and Applied Analysis, 2014.
  • [2013] H. Van Dyke, K. R. Vixie and T. J. Asaki, “Cone Monotonicity: Structure Theorem, Properties, and Comparisons to other Notions of Monotonicity,” Abstract and Applied Analysis, 2013.
  • [2013] B. Van Dyke and T. J. Asaki, “Using QR Decomposition to Obtain a New Instance of Mesh Adaptive Direct Search with Uniformly Distributed Polling Directions,” Journal of Optimization Theory and Applications, 159 (3), 2013.
  • [2012] M. A. Abramson, T. J. Asaki, J. E. Dennis, Jr., R. Magallanez, and M. J. Sottile, “Solving computationally expensive optimization problems with CPU time correlated functions,” Structural and Multidisciplinary Optimization, 45 (1), 2012.
  • [2010] T. J. Asaki, K.R. Vixie, M. J. Sottile and P. Cherepanov, “Image Denoising by Regularization on Characteristic Graphs,” Applied Mathematical Sciences, 4 (52), 2010.
  • [2010] K. R. Vixie, K. Clawson, T. J. Asaki, G. Sandine and S. P. Morgan, “Multiscale Flat Norm Signatures for Shapes and Images,” Applied Mathematical Sciences, 4 (14), pp. 667–680, 2010.
  • [2010] T. J. Asaki, “Quantitative Abel tomography robust to noisy, corrupted and missing data,” Optimization and Engineering, 2010, DOI: 10.1007/s11081-009-9097-z.
  • [2008] M. A. Abramson, T. J. Asaki, J. E. Dennis, Jr., K. R. O’Reilly, and R. L. Pingel, “Quantitative object reconstruction using Abel transform x-ray tomography and mixed variable optimization,” SIAM Journal on Imaging Sciences, 1 (3), pp. 322–342, 2008.
  • [2007] T. Le, R. Chartrand, and T. J. Asaki, “A variational approach to reconstructing images corrupted by Poisson noise,” Journal of Mathematical Imaging and Vision, 27, pp. 257–263, 2007.
  • [2006] T. J. Asaki, K. R. Vixie and E. Bollt, ”Sparse Radiographic Tomography and System Identification from Single View, Multiple Time Sample Density Plots,” Computational Methods in Applied Mathematics, 6 (4), pp. 354–366, 2006.
  • [2006] J. A. Green, C. Alexander, T. Asaki, J. Bacon, G. Blanpied, K. Borozdin, A. Canabal-Rey, M. Cannon, R. Chartrand, D. Clark, C. Espinoza, E. Figueroa, A. Fraser, M. Galassi, J. Gomez, J. Gonzales, A. Green, N. Hengartner, G. Hogan, A. Klimenko, P. McGaughey, G. McGregor, J. Medina, C. Morris, K. Mosher, C. Orum, F. Pazuchanics, W. Priedhorsky, A. Sanchez, A. Saunders, R. Schirato, L. Schultz, M. Sossong, M. Sottile, J.Tenbrink, R. V. de Water, K. Vixie, and B. Wohlberg, “Optimizing the tracking efficiency for cosmic ray muon tomography,” IEEE Nuclear Science Symposium Conference Record, pp. 285–288, 2006.
  • [2006] T. J. Asaki, P. Campbell, R. Chartrand, C. E. Powell, K. R. Vixie, and B. Wohlberg, “Abel inversion using total-variation regularization: Applications,” Inverse Problems in Science and Engineering, 14, pp. 873–885, 2006.
  • [2005] K. Borozdin, T. Asaki, R. Chartrand, M. Galassi, A. Greene, N. Hengartner, G. Hogan, A. Klimenko, C. Morris, W. Priedhorsky, A. Saunders, R. Schirato, L. Schultz, and M. Sottile, “Cosmic-ray muon tomography and its application to the detection of high-Z materials,” Proceed- ings of the 46th Annual Meeting, Institute of Nuclear Materials Management, 2005.
  • [2005] T. J. Asaki, R. Chartrand, K. R. Vixie, and B. Wohlberg, “Abel inversion using totalvariation regularization,” Inverse Problems, 21(6), pp. 1895–1903, 2005.
  • [2004] K. Borozdin, T. Asaki, R. Chartrand, N. Hengartner, G. Hogan, C. Morris, W. Priedhorsky, R. Schirato, L. Schultz, M. Sottile, K. Vixie, B. Wohlberg, and G. Blanpied, “Information extraction from muon radiography data,” in ISAS/CITSA 2004: International Conference on Cybernetics and Information Technologies, Systems and Applications and 10th International Conference on Information Systems Analysis and Synthesis, Vol 2, Proceedings: Communications, Information and Control Systems, Technologies and Applications, pp. 27–30, International Institute of Informatics and Systemics, 2004.
  • [2002] T. C. Hale and T. J. Asaki, “Resonant ultrasonic vibration detection study,” Quantitative nondestructive evaluation, AIP Conference Proceedings, 615, pp. 992–998, 2002.
  • [2001] T. C. Hale and T. J. Asaki, “Optical resonant ultrasound spectroscopy for fluid properties measurement,” IEEE Ultrasonics, Ferroelectrics and Frequency Control, 48, pp. 879–885, 2001.
  • [2000] P. S. Ebey, T. J. Asaki and J. K. Hoffer, “A numerical study of the dependence of the surface temperature of beta layered regions on absolute thickness,” Fusion Technology, 37, pp. 32–37, 2000.
  • [1999] T. J. Asaki, “Ultrasonically determined fill pressure and density in closed spherical shells,” Fusion Technology, 35, pp. 126–130, 1999.
  • [1998] T. J. Asaki, J. K. Hoffer and J. D. Sheliak, “Ultrasonic characterization of ICF targets,” Fusion Technology, 33, pp. 171–181, 1998.
  • [1998] T. C. Hale, T. J. Asaki, K. L. Telschow; J. K. Hoffer, “Ultrasonic vibration modal analysis of ICF targets using a photorefractive optical lock-in,” Process Control and Sensors for Manufacturing, SPIE Proceedings, 3399, pp. 97–108, 1998.
  • [1997] T. J. Asaki and P. L. Marston, “The effects of a soluble surfactant on quadrupole shape oscillations and dissolution of air bubbles in water,” Journal of the Acoustical Society of America, 102(6), pp. 3372–3377, 1997.
  • [1996] T. J. Asaki, J. K. Hoffer and J. D. Sheliak, “Characterization of inertial confinement fusion targets,” Journal of the Acoustical Society of America, 99 (4), pp. 2581–2603, 1996.
  • [1995] T. J. Asaki, D. B. Theissen, and P. L. Marston, “Effect of an insoluble surfactant on capillary oscillations of bubbles in water: observation of a maximum in the damping,” Physical Review Letters, 75, p.2686–2689, 1995; 75, p.4336, 1995.
  • [1995] T. J. Asaki and P. L. Marston, “Free decay of shape oscillations of bubbles acoustically trapped in water and sea water,” Journal of Fluid Mechanics, 300, pp. 149–167, 1995.
  • [1995] T. J. Asaki and P. L. Marston, “Equilibrium shape of an acoustically levitated bubble driven above resonance,” Journal of the Acoustical Society of America, 97(4), pp.2138–2143, 1995.
  • [1994] T. J. Asaki and P. L. Marston, “Acoustic radiation force on a bubble driven above resonance,” Journal of the Acoustical Society of America, 96(5), pp. 3096–3099, 1994.
  • [1993] T. J. Asaki, P. L. Marston and E. H. Trinh, “Shape oscillations of bubbles in water driven by modulated ultrasonic radiation pressure: Observations and detection with scattered laser light,” Journal of the Acoustical Society of America, 93(2), pp. 706–713, 1993.

Technical Reports

  • M. A. Abramson, T. J. Asaki, J. E. Dennis, Jr., K. R. O’Reilly and R. L. Pingel, “Quantitative object reconstruction using Abel transform x-ray tomography and mixed variable optimization,” CAAM Report TR07-03, Rice University, 2007.
  • R. Pingel, M. A. Abramson, T. J. Asaki and J. E. Dennis, Jr., ”Characteristic Shape Sequences for Measures on Images,” CAAM Report TR06-17, Rice University, 2006.
  • K. R. Vixie and T. J. Asaki, “Defensible Metrics and Merit Functions: Making Informative Comparisons of Computer Simulations and Experiments,” in 2004 LANL LDRD report to the US Congress, 2004.
  • T. J. Asaki, “The geometry of a beta-layered solid grown on a perturbed boundary,” Los Alamos National Laboratory Technical Report (LA-UR-04-4101), 2004.
  • T. J. Asaki, “Inverse Abel transform regularization,” Los Alamos National Laboratory Technical Report (LA-UR-04-4100), 2004.
  • T. J. Asaki, “Elasticity-based TSWarp cost functions,” Los Alamos National Laboratory Technical Report (LA-UR-04-4099), 2004.
  • T. J. Asaki and K. R. Vixie, “A comparison of tomographic reconstruction methods for 3D objects using a limited number of noisy radiographic views,” Los Alamos National Laboratory Technical Report (LA-UR-03-6196), 2003.
  • T. J. Asaki and K. R. Vixie, “SVD analysis for radiographic object reconstruction II: Null space enhancements,” Los Alamos National Laboratory Technical Report (LA-UR-03-5937), 65p, 2003
  • T. J. Asaki and K. R. Vixie, “Standard 2D test objects for radiographic inversion studies,” Los Alamos National Laboratory Technical Report LA-UR-02-3978, 7p, 2002.
  • T. J. Asaki and K. R. Vixie, “SVD analysis for radiographic object reconstruction I: Initial results,” Los Alamos National Laboratory Technical Report (LA-UR-01-6534), 23p, 2001.
  • T. J. Asaki, “The spherical acoustic resonator I: Theoretical approaches to fluid and cavity characterization,” Los Alamos National Laboratory Technical Report (LA-13835-MS), 153p, 2001.
  • P. L. Marston, E. H. Trinh, J. Depew and T. J. Asaki, “Oscillatory Dynamics of Single Bubbles and Agglomeration in a Sound Field in Microgravity,” NASA Technical Report (20030075808), 1994.