AFIT Faculty Directory

Refereed Journal Articles:

1. D. G. Mixon, C. J. Quinn, N. Kiyavash, M. Fickus, Fingerprinting with Equiangular Tight Frames, to appear in: IEEE Trans. Inform. Theory.

2. J. Cahill, M. Fickus, D. G. Mixon, M. J. Poteet, N. Strawn, Constructing finite frames of a given spectrum and set of lengths, to appear in: Appl. Comput. Harmon. Anal.

3. M. L. Massar, R. Bhagavatula, M. Fickus, J. Kova?cevi´c, Local histograms and image occlusion models, to appear in: Appl. Comput. Harmon. Anal.

4. P. G. Casazza, M. Fickus, A. Heinecke, Y. Wang, Z. Zhou, Spectral tetris fusion frame constructions, J. Fourier Anal. Appl. 18 (2012) 828–851.

5. M. Fickus, D. G. Mixon, Optimal frames and Newton’s method, Numer. Funct. Anal. Optim. 33 (2012) 971-988.

6. M. Fickus, D. G. Mixon, Numerically erasure-robust frames, Linear Algebra Appl. 437 (2012) 1394-1407.

7. D. C. Balcan, G. Srinivasa, M. Fickus, J. Kova?cevi´c, Guaranteeing convergence of iterative skewed voting algorithms for image segmentation, Appl. Comput. Harmon. Anal. 33 (2012) 300–308.

8. M. Fickus, D. G. Mixon, J. C. Tremain, Steiner equiangular tight frames, Linear Algebra Appl. 436 (2012) 1014–1027.

9. P. G. Casazza, M. Fickus, D. G. Mixon, Auto-tuning unit norm frames, Appl. Comput. Harmon. Anal. 32 (2012) 1–15.

10. M. L. Massar, M. Fickus, E. Bryan, D. T. Petkie, A.J. Terzuoli, Fast computation of spectral centroids, Adv. Comput. Math. 35 (2011) 83-97.

11. P. G. Casazza, M. Fickus, D. G. Mixon, J. C. Tremain, The Bourgain-Tzafriri conjecture and concrete constructions of non-pavable projections, Oper. Matrices. 5 (2011) 351-363.

12. A. Chebira, M. Fickus, D. G. Mixon, Filter bank fusion frames, IEEE Trans. Signal Process. 59 (2011) 953-963.

13. P. G. Casazza, M. Fickus, D. Mixon, Y. Wang and Z. Zhou, Constructing tight fusion frames, Appl. Comput. Harmon. Anal. 30 (2011) 175-187.

14. G. Srinivasa, M. Fickus, Y. Guo, A. Linstedt and J. Kovacevic, Active mask segmentation of fluorescence microscope images, IEEE Trans. Image Process. 18 (2009) 1817-1829.

15. P. G. Casazza and M. Fickus, Minimizing fusion frame potential, Acta Appl. Math. 107 (2009) 7-24.

16. A. Chebira, M. Fickus and J. Kovacevic, Classifying compact convex sets with frames, Appl. Comput. Harmon. Anal. 27 (2009) 73-86.

17. M. Fickus, Maximally equiangular frames and Gauss sums, J. Fourier Anal. Appl. 15 (2009) 413--427.

18. M. Fickus and D. G. Mixon, Isotropic moments over integers lattices, Appl. Comput. Harmon. Anal. 26 (2009) 77-96.

19. P. G. Casazza and M. Fickus, Fourier Transforms of Finite Chirps, EURASIP Journal on Applied Signal Processing, Vol. 2006 (2006) 70204/1-7

20. M. Fickus, B. D. Johnson, K. Kornelson and K. Okoudjou, Convolutional frames and the frame potential, Appl. Comput. Harmon. Anal. 19 (2005) 77-91.

21. J. J. Benedetto and M. Fickus, Finite normalized tight frames, Adv. Comput. Math. 18 (2003) 357-385.

Journal Articles Under Review:

22. R. Bhagavatula, M. T. McCann, M. Fickus, C. A. Castro, J. A. Ozolek, J. Kova?cevi´c, A vocabulary for the identification of teratoma tissues in H&E-stained samples, submitted to: BMC Bioinformatics in November 2012.

23. M. Fickus, J. Jasper, D. G. Mixon, J. Peterson, Group-theoretic constructions of erasure-robust frames, submitted to: Appl. Comput. Harmon. Anal. in September 2012.

24. L. N. Smith, M. Fickus, Determining angular frequency from video with a generalized fast Fourier transform, submitted to: Adv. Comput. Math. in April 2012.

25. A. S. Bandeira, M. Fickus, D. G. Mixon, P. Wong, The road to deterministic matrices with the Restricted Isometry Property, submitted to Constr. Approx. in February 2012.

26. M. Fickus, D. G. Mixon, M. J. Poteet, N. Strawn, Constructing all self-adjoint matrices with prescribed spectrum and diagonal, submitted to: Adv. Comput. Math. in November 2011.

Peer-Review Book Chapters:

27. M. Fickus, D. G. Mixon, M. J. Poteet, Constructing finite frames with a given spectrum, in: “Finite Frames: Theory and Applications” P. G. Casazza and G. Kutyniok eds., Birkhauser, pp. 55–107, 2012.

28. M. Fickus, M. L. Massar, D. G. Mixon, Finite frames and filter banks, in: “Finite Frames: Theory and Applications” P. G. Casazza and G. Kutyniok eds., Birkhauser, pp. 337–379, 2012.

29. P. G. Casazza, M. Fickus, J. Kovacevic, M. T. Leon and J. C. Tremain, A Physical Interpretation of Tight Frames, in: Harmonic Analysis and Applications, Birkhauser (2006) 51-76.

Conference Proceedings, Fully Peer-Reviewed:

30. M. T. McCann, R. Bhagavatula, M. Fickus, J. A. Ozolek, J. Kova?cevi´c, Towards automated histology: active colitis detection, to appear in: Proc. IEEE Intl. Conf. Image Process.

31. M. Fickus, D. G. Mixon, J. C. Tremain, Constructing a large family of equiangular tight frames, Proc. Sampl. Theory Appl. (2011) 4 pages.

32. D. G. Mixon, C. Quinn, N. Kiyavash, M. Fickus, Equiangular tight frame fingerprinting codes, Proc. IEEE Int. Conf. Acoust. Speech Signal Process. (2011) 1856--1859.

33. R. Bhagavatula, M. Fickus, W. Kelly, C. Guo, J. A. Ozolek, C. A. Castro and J. Kovacevic, Automatic identification and delineation of germ layer components in H&E stained images of teratomas, Proc. IEEE Int. Symp. Biomed. Imaging (2010) 1041-1044

34. D. C. Balcan, G. Srinivasa, M. Fickus and J. Kovacevic, Convergence behavior of the Active Mask algorithm, Proc. IEEE Int. Conf. Acoust. Speech Signal Process. (2010), 453-456.

35. A. Chebira, M. Fickus and M. Vetterli, Frame domain signal processing: framework and applications, Proc. IEEE Int. Conf. Acoust. Speech Signal Process. (2010), 4094-4097.

36. P. G. Casazza, M. Fickus, Gradient descent of the frame potential, Proc. Sampl. Theory Appl. (2009), 4 pages.

37. V. Oak, S. Garg, M. Fickus and J. Kovacevic, Voting-based active contour segmentation of fMRI images of the brain, Proc. IEEE Int. Conf. Image Process. (2008) 1100-1103.

38. G. Srinivasa, M. Fickus, M. N. Gonzalez-Rivero, S. Hsieh, Y. Guo, A. Linstedt, J. Kovacevic, Active mask segmentation for the cell-volume computation and Golgi-body segmentation of HeLa cell images, Proc. IEEE Int. Symp. Biomed. Imaging (2008) 348-351.

39. P. G. Casazza, M. Fickus, J. C. Tremain and E. Weber, The Kadison-Singer Problem in mathematics and engineering, Proc. Gt. Plains Operator Theory Seminar, Contemp. Math. 414 (2006) 299-355.

Conference Proceedings, Accepted via Peer-Review of the Abstract:

40. P. G. Casazza, M. Fickus, A. Heinecke, Y.Wang, Z. Zhou, Spectral tetris fusion frame constructions, Proc. SPIE 8138 (2011) 813816/1-6.

41. M. L. Massar, R. Bhagavatula, J. A. Ozolek, C. A. Castro, M. Fickus, J. Kova¡cevi´c, A domain-knowledgeinspired mathematical framework for the description and classification of H&E stained histopathology images, Proc. SPIE 8138 (2011) 81380U/1-7.

42. M. Fickus, D. G. Mixon, Deterministic matrices with the restricted isometry property, Proc. SPIE 8138 (2011) 81380A/1-6.

43. M. Fickus, D. G. Mixon, M. J. Poteet, Frame completions for optimally robust reconstruction, Proc. SPIE 8138 (2011) 81380Q/1-8.

44. M. L. Massar, R. Bhagavatula, M. Fickus and J. Kovacevic, Local histograms for classifying H&E stained tissues, Proc. South. Biomed. Eng. Conf. (2010), 348-352.

45. P.G. Casazza, M. Fickus, D. Mixon, Y.Wang and Z. Zhou, Constructions and existence of tight fusion frames, Proc. SPIE. 7446 (2009) 744613/1-10.

46. G. Srinivasa, M. Fickus and J. Kovacevic, Multiresolution multiscale active mask segmentation of fluorescence microscope images, Proc. SPIE. 7446 (2009) 744603/1-7.

47. R. Ewing, D. Quinn, Y. Zheng, M. Fickus, M. Oxley, J. Morrison, G. Seetharaman, R. Matungka, V. Sandor, Image registration using polar wavelets, Proc. IEEE Natl. Aerosp. Electron. Conf. (2008) 316-321.

48. G. Srinivasa, M. Fickus and J. Kovacevic, Active contour-based multiresolution transforms for the segmentation of fluorescence microscope images, Proc. SPIE 6701 (2007) 67010I/1-15.

49. M. Fickus, G. S. Seetharaman and M. E. Oxley, Multiscale moment transforms over the integer lattice, Proc. SPIE 6701 (2007) 67011N/1-8.

50. P. G. Casazza and M. Fickus, Chirps on finite cyclic groups, Proc. SPIE 5914 (2005) 5914N/1-6.

51. P. G. Casazza, M. Fickus, J. Kovacevic, M. Leon, and J. C. Tremain, Physical laws governing finite tight frames, Proc. SPIE 5207 (2003) 371-380.