Bradley J Lucier

Publications

Certain papers on wavelets and image processing and on numerical methods for partial differential equations are available for download.

Publications listed in Math Reviews as of October 6, 2015

See also "Other Publications" below.

[1] Antonin Chambolle, Stacey E. Levine, and Bradley J. Lucier. An upwind finite-difference method for total variation-based image smoothing. SIAM J. Imaging Sci., 4(1):277-299, 2011. [ bib | DOI | http ]
[2] Jingyue Wang and Bradley J. Lucier. Error bounds for finite-difference methods for Rudin-Osher-Fatemi image smoothing. SIAM J. Numer. Anal., 49(2):845-868, 2011. [ bib | DOI | http ]
[3] Antonin Chambolle and Bradley J. Lucier. Interpreting translation-invariant wavelet shrinkage as a new image smoothing scale space. IEEE Trans. Image Process., 10(7):993-1000, 2001. [ bib | DOI | http ]
[4] Nam-Yong Lee and Bradley J. Lucier. Wavelet methods for inverting the Radon transform with noisy data. IEEE Trans. Image Process., 10(1):79-94, 2001. [ bib | DOI | http ]
[5] Antonin Chambolle, Ronald A. DeVore, Nam-yong Lee, and Bradley J. Lucier. Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage. IEEE Trans. Image Process., 7(3):319-335, 1998. [ bib | DOI | http ]
[6] Antonin Chambolle and Bradley J. Lucier. Un principe du maximum pour des opérateurs monotones. C. R. Acad. Sci. Paris Sér. I Math., 326(7):823-827, 1998. [ bib | DOI | http ]
[7] Ronald A. DeVore and Bradley J. Lucier. On the size and smoothness of solutions to nonlinear hyperbolic conservation laws. SIAM J. Math. Anal., 27(3):684-707, 1996. [ bib | DOI | http ]
[8] C.-c. Hsiao, B. Jawerth, B. J. Lucier, and X. M. Yu. Near optimal compression of orthonormal wavelet expansions. In Wavelets: mathematics and applications, Stud. Adv. Math., pages 425-446. CRC, Boca Raton, FL, 1994. [ bib ]
[9] Lawrence G. Brown and Bradley J. Lucier. Best approximations in L1 are near best in Lp, p<1. Proc. Amer. Math. Soc., 120(1):97-100, 1994. [ bib | DOI | http ]
[10] Ronald A. DeVore, Björn Jawerth, and Bradley J. Lucier. Surface compression. Comput. Aided Geom. Design, 9(3):219-239, 1992. [ bib | DOI | http ]
[11] Bradley J. Lucier. Wavelets and image compression. In Mathematical methods in computer aided geometric design, II (Biri, 1991), pages 391-400. Academic Press, Boston, MA, 1992. [ bib ]
[12] Ronald A. DeVore and Bradley J. Lucier. Wavelets. In Acta numerica, 1992, Acta Numer., pages 1-56. Cambridge Univ. Press, Cambridge, 1992. [ bib ]
[13] Ronald A. DeVore, Björn Jawerth, and Bradley J. Lucier. Image compression through wavelet transform coding. IEEE Trans. Inform. Theory, 38(2, part 2):719-746, 1992. [ bib | DOI | http ]
[14] Ronald A. DeVore and Bradley J. Lucier. High order regularity for conservation laws. Indiana Univ. Math. J., 39(2):413-430, 1990. [ bib | DOI | http ]
[15] Ronald A. DeVore and Bradley J. Lucier. High order regularity for solutions of the inviscid Burgers equation. In Nonlinear hyperbolic problems (Bordeaux, 1988), volume 1402 of Lecture Notes in Math., pages 147-154. Springer, Berlin, 1989. [ bib | DOI | http ]
[16] Bradley J. Lucier. Regularity through approximation for scalar conservation laws. SIAM J. Math. Anal., 19(4):763-773, 1988. [ bib | DOI | http ]
[17] David Hoff and Bradley J. Lucier. Numerical methods with interface estimates for the porous medium equation. RAIRO Modél. Math. Anal. Numér., 21(3):465-485, 1987. [ bib ]
[18] Bradley J. Lucier and Ross Overbeek. A parallel adaptive numerical scheme for hyperbolic systems of conservation laws. SIAM J. Sci. Statist. Comput., 8(2):S203-S219, 1987. Parallel processing for scientific computing (Norfolk, Va., 1985). [ bib | DOI | http ]
[19] Bradley J. Lucier. On nonlocal monotone difference schemes for scalar conservation laws. Math. Comp., 47(175):19-36, 1986. [ bib | DOI | http ]
[20] Bradley J. Lucier. A moving mesh numerical method for hyperbolic conservation laws. Math. Comp., 46(173):59-69, 1986. [ bib | DOI | http ]
[21] Bradley J. Lucier. Error bounds for the methods of Glimm, Godunov and LeVeque. SIAM J. Numer. Anal., 22(6):1074-1081, 1985. [ bib | DOI | http ]
[22] Bradley J. Lucier. On Sobolev regularizations of hyperbolic conservation laws. Comm. Partial Differential Equations, 10(1):1-28, 1985. [ bib | DOI | http ]
[23] Bradley J. Lucier. A stable adaptive numerical scheme for hyperbolic conservation laws. SIAM J. Numer. Anal., 22(1):180-203, 1985. [ bib | DOI | http ]
[24] Thomas Nagylaki and Bradley Lucier. Numerical analysis of random drift in a cline. Genetics, 94(2):497-517, 1980. [ bib ]

Other Publications

See also "Publications listed in Math Reviews" above.

  1. Owen G. Rehrauer, Bharat R. Mankani, Gregery T. Buzzard, Bradley J. Lucier, and Dor Ben-Amotz. Fluorescence Modeling for Optimized-Binary Compressive Detection Raman Spectroscopy. Optics Express, 23 (2015), 23935-23951
  2. David S. Wilcox, Gregery T. Buzzard, Bradley J. Lucier, Owen G. Rehrauer, Ping Wang, and Dor Ben-Amotz. Digital compressive quantitation and hyperspectral imaging. Analyst, 138:4982-4990, 2013
  3. Gregery T. Buzzard and Bradley J. Lucier. Optimal filters for high-speed compressive detection in spectroscopy. In Proceedings of SPIE Volume 8657, Computational Imaging XI, 865707 (February 14, 2013).
  4. David S. Wilcox, Gregery T. Buzzard, Bradley J. Lucier, Ping Wang, and Dor Ben-Amotz. Photon level chemical classification using digital compressive detection. Analytica Chimica Acta, 755:17-27, 2012
  5. Maria Kallergi, John J. Heine, and Bradley J. Lucier. Observer evaluations of wavelet methods for the enhancement and compression of digitized mammograms. In Digital Mammography, volume 4042 of Lecture Notes in Computer Science, pages 482-489. Springer, Berlin, 2006.
  6. Maria Kallergi, Bradley J. Lucier, Claudia G. Berman, Maria R. Hersh, J. Kim Jihai, Margaret S. Szabunio, and Robert A. Clark. High-performance wavelet compression for mammography: localization response operating characteristic evaluation. Radiology, 238(1):62-73, 2006.
  7. Bradley J. Lucier. Wavelet smoothing of functional magnetic resonance images: a preliminary report. In Wavelets: Applications in Signal and Image Processing X, Michael A. Unser, Akram Aldroubi, and Andrew F. Laine, eds., volume 5207 of Proceedings of SPIE, pages 134-146. SPIE, 2003.
  8. Bradley J. Lucier. Numerical partial differential equations in Scheme. In Proceedings of the Workshop on Scheme and Functional Programming 2000.
  9. Dhiraj Kacker, A. Ufuk Agar, Jan P. Allebach, and Bradley J. Lucier. Wavelet decomposition based representation of nonlinear color transformations and comparison with sequential linear interpolation. In Proceedings of the Fifth IEEE International Conference on Image Processing, vol. 1, pages 186-190. IEEE, Piscataway, NJ, 1998.
  10. Bradley J. Lucier, Sudhakar Mamillapalli, and Jens Palsberg. Program optimization for faster genetic programming. In Genetic Programming 1998: Proceedings of the Third Annual Conference, J. R. Koza et al., eds, pages 202-207. Morgan Kaufmann, San Francisco, 1998.
  11. Ronald A. DeVore, Bradley J. Lucier, and Zeshang Yang. Feature extraction in digital mammography. In Wavelets in Medicine and Biology, A. Aldroubi and M. Unser, eds., pages 145-161. CRC Press, Boca Raton, 1996.
  12. Zeshang Yang, Maria Kallergi, Ronald A. DeVore, Bradley J. Lucier, Wei Qian, Robert A. Clark, Lawrence P. Clarke. Effect of wavelet bases on compressing digital mammograms. Engineering in Medicine and Biology Magazine, 14(5):570-577, 1995.
  13. Ronald A. DeVore and Bradley J. Lucier. Classifying the smoothness of images: theory and applications to wavelet image processing. In ICIP-94: Proceedings of the 1994 IEEE International Conference on Image Processing, vol. 2, pages 6-10. IEEE Press, Piscataway, NJ, 1994.
  14. Bradley J. Lucier, Maria Kallergi, Wei Qian, Ronald A. DeVore, Robert A. Clark, Edward B. Saff, and Lawrence P. Clarke. Wavelet compression and segmentation of mammographic images. Journal of Digital Imaging: The Official Journal of the Society for Computer Applications in Radiology, 7:27-38, 1994.
  15. Ronald A. DeVore and Bradley J. Lucier. Smoothness spaces and wavelet decompositions. In Curves and Surfaces in Computer Vision and Graphics III, J. D. Warren, ed., volume 1830 of the Proceedings of SPIE, pages 2-12. SPIE, 1992.
  16. Ronald A. DeVore and Bradley J. Lucier. Fast wavelet techniques for near-optimal image processing. In Military Communications Conference, 1992. MILCOM '92, Conference Record, pages 1129-1135. IEEE, Piscataway, NJ, 1992.
  17. Ronald A. DeVore, Björn Jawerth, and Bradley J. Lucier. Data compression using wavelets: error, smoothness, and quantization. In DCC '91, Data Compression Conference, 1991, J. A. Storer and J. H. Reif, eds., pages 186-195. IEEE Computer Society, Los Alamitos, CA, 1991.
  18. Bradley J. Lucier. Performance evaluation for multiprocessors programmed using monitors. In Proceedings of the 1988 ACM SIGMETRICS Conference on Measurement and Modeling of Computer Systems, Special Issue of the SIGMETRICS Performance Evaluation Review, 16(1):22-29, 1988.