Edward R. Dougherty

Edward R. Dougherty is a Professor in the Department of Electrical Engineering at Texas A&M University in College Station, Tex, Director of the Genomic Signal Processing Laboratory at Texas A&M University, and Director of the Computational Biology Division of the Translational Genomics Research Institute in Phoenix, Ariz. He holds a Ph.D. degree in mathematics from Rutgers University and an M.S. degree in Computer Science from Stevens Institute of Technology. He is the author of twelve books, Editor of five others, and author of more than one hundred and ninety journal papers. He is an SPIE Fellow, is a Recipient of the SPIE Presidents Award, and has served as an Editor of the Journal of Electronic Imaging for six years. He has contributed extensively to the statistical design of nonlinear operators for image processing and the consequent application of pattern recognition theory to nonlinear image processing. His current research is focused in genomic signal processing, with the central goal being to model genomic regulatory mechanisms for the purposes of diagnosis and therapy.

Biography Updated on 18 May 2006

Articles in Scholarly Journals [Incomplete List]

  1. Optimal Constrained Stationary Intervention in Gene Regulatory Networks
    EURASIP Journal on Bioinformatics and Systems Biology, vol. 2008, Article ID 620767, 10 pages, 2008
  2. Inference of Boolean Networks Using Sensitivity Regularization
    EURASIP Journal on Bioinformatics and Systems Biology, vol. 2008, Article ID 780541, 12 pages, 2008
  3. Inference of a Probabilistic Boolean Network from a Single Observed Temporal Sequence
    EURASIP Journal on Bioinformatics and Systems Biology, vol. 2007, Article ID 32454, 15 pages, 2007
  4. Comparison of Gene Regulatory Networks via Steady-State Trajectories
    EURASIP Journal on Bioinformatics and Systems Biology, vol. 2007, Article ID 82702, 11 pages, 2007
  5. Decorrelation of the True and Estimated Classifier Errors in High-Dimensional Settings
    EURASIP Journal on Bioinformatics and Systems Biology, vol. 2007, Article ID 38473, 12 pages, 2007
  6. Validation of Computational Methods in Genomics
    Current Genomics, vol. 8, no. 1, pp. 1–19, 2007
  7. Quantification of the Impact of Feature Selection on the Variance of Cross-Validation Error Estimation
    EURASIP Journal on Bioinformatics and Systems Biology, vol. 2007, Article ID 16354, 11 pages, 2007
  8. Genetic Regulatory Networks
    EURASIP Journal on Bioinformatics and Systems Biology, vol. 2007, Article ID 17321, 2 pages, 2007
  9. Model-based evaluation of clustering validation measures
    Pattern Recognition, vol. 40, no. 3, pp. 807–824, 2007
  10. The impact of function perturbations in Boolean networks
    Bioinformatics, vol. 23, no. 10, pp. 1265–1273, 2007
  11. Dynamics Preserving Size Reduction Mappings for Probabilistic Boolean Networks
    IEEE Transactions on Signal Processing, vol. 55, no. 5, pp. 2310–2322, 2007
  12. Optimizing Consistency-Based Design of Context-Sensitive Gene Regulatory Networks
    IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 53, no. 11, pp. 2431–2437, 2006
  13. IEEE Transactions on Signal Processing, vol. 54, no. 6, pp. 2375–2387, 2006
  14. Guest Editorial Genomic Signal Processing
    IEEE Transactions on Signal Processing, vol. 54, no. 6, pp. 2373–2374, 2006
  15. Design of Probabilistic Boolean Networks Under the Requirement of Contextual Data Consistency
    IEEE Transactions on Signal Processing, vol. 54, no. 9, pp. 3603–3613, 2006
  16. Genetic test bed for feature selection
    Bioinformatics, vol. 22, no. 7, pp. 837–842, 2006
  17. What should be expected from feature selection in small-sample settings
    Bioinformatics, vol. 22, no. 19, pp. 2430–2436, 2006
  18. Inferring gene regulatory networks from time series data using the minimum description length principle
    Bioinformatics, vol. 22, no. 17, pp. 2129–2135, 2006
  19. SNiPer-HD: improved genotype calling accuracy by an expectation-maximization algorithm for high-density SNP arrays
    Bioinformatics, vol. 23, no. 1, pp. 57–63, 2006
  20. Optimal convex error estimators for classification
    Pattern Recognition, vol. 39, no. 9, pp. 1763–1780, 2006
  21. Multi-class cancer classification using multinomial probit regression with Bayesian gene selection
    IEE Proceedings - Systems Biology, vol. 153, no. 2, p. 70, 2006
  22. BMC Bioinformatics, vol. 7, no. 1, p. 274, 2006
  23. Journal of Biological Systems, vol. 14, no. 1, p. 65, 2006
  24. Normalization Benefits Microarray-Based Classification
    EURASIP Journal on Bioinformatics and Systems Biology, vol. 2006, Article ID 43056, 13 pages, 2006
  25. Journal of Biological Systems, vol. 14, no. 2, p. 219, 2006
  26. Feature selection algorithms to find strong genes
    Pattern Recognition Letters, vol. 26, no. 10, pp. 1444–1453, 2005
  27. Exact performance of error estimators for discrete classifiers
    Pattern Recognition, vol. 38, no. 11, pp. 1799–1814, 2005
  28. The fundamental role of pattern recognition for gene-expression/microarray data in bioinformatics
    Pattern Recognition, vol. 38, no. 12, pp. 2226–2228, 2005
  29. Impact of error estimation on feature selection
    Pattern Recognition, vol. 38, no. 12, pp. 2472–2482, 2005
  30. Steady-state probabilities for attractors in probabilistic Boolean networks
    Signal Processing, vol. 85, no. 10, pp. 1993–2013, 2005
  31. Determination of the optimal number of features for quadratic discriminant analysis via the normal approximation to the discriminant distribution
    Pattern Recognition, vol. 38, no. 3, pp. 403–421, 2005
  32. The coefficient of intrinsic dependence (feature selection using el CID)
    Pattern Recognition, vol. 38, no. 5, pp. 623–636, 2005
  33. Optimal robust classifiers
    Pattern Recognition, vol. 38, no. 10, pp. 1520–1532, 2005
  34. Generating Boolean networks with a prescribed attractor structure
    Bioinformatics, vol. 21, no. 21, pp. 4021–4025, 2005
  35. Intervention in a family of Boolean networks
    Bioinformatics, vol. 22, no. 2, pp. 226–232, 2005
  36. IEEE Signal Processing Magazine, vol. 22, no. 1, pp. 107–112, 2005
  37. How many samples are needed to build a classifier: a general sequential approach
    Bioinformatics, vol. 21, no. 1, pp. 63–70, 2005
  38. IEEE Signal Processing Magazine, vol. 22, no. 6, pp. 46–68, 2005
  39. Noise factor analysis for cDNA microarrays
    Journal of Biomedical Optics, vol. 9, no. 4, p. 663, 2004
  40. Automatic design of morphological operators
    Journal of Electronic Imaging, vol. 13, no. 3, p. 486, 2004
  41. Intervention in context-sensitive probabilistic Boolean networks
    Bioinformatics, vol. 21, no. 7, pp. 1211–1218, 2004
  42. Optimal number of features as a function of sample size for various classification rules
    Bioinformatics, vol. 21, no. 8, pp. 1509–1515, 2004
  43. External control in Markovian genetic regulatory networks: the imperfect information case
    Bioinformatics, vol. 20, no. 6, pp. 924–930, 2004
  44. Is cross-validation better than resubstitution for ranking genes?
    Bioinformatics, vol. 20, no. 2, pp. 253–258, 2004
  45. Is cross-validation valid for small-sample microarray classification?
    Bioinformatics, vol. 20, no. 3, pp. 374–380, 2004
  46. Growing genetic regulatory networks from seed genes
    Bioinformatics, vol. 20, no. 8, pp. 1241–1247, 2004
  47. Which is better for cDNA-microarray-based classification: ratios or direct intensities
    Bioinformatics, vol. 20, no. 16, pp. 2513–2520, 2004
  48. Boolean relationships among genes responsive to ionizing radiation in the NCI 60 ACDS
    Bioinformatics, vol. 21, no. 8, pp. 1542–1549, 2004
  49. Gene Clustering Based on Clusterwide Mutual Information
    Journal of Computational Biology, vol. 11, no. 1, pp. 147–161, 2004
  50. Superior feature-set ranking for small samples using bolstered error estimation
    Bioinformatics, vol. 21, no. 7, pp. 1046–1054, 2004
  51. Optimal Filters with Multiresolution Apertures
    Journal of Mathematical Imaging and Vision, vol. 20, no. 3, pp. 237–250, 2004
  52. A Lattice-Based Minimal Gray-Scale Switching Algorithm for Obtaining the Optimal Increasing Filter from the Optimal Filter
    Journal of Mathematical Imaging and Vision, vol. 21, no. 1, pp. 43–52, 2004
  53. Nonlinear Filter Design Using Envelopes
    Journal of Mathematical Imaging and Vision, vol. 21, no. 1, pp. 81–97, 2004
  54. A Bayesian approach to nonlinear probit gene selection and classification
    Journal of the Franklin Institute, vol. 341, no. 1-2, pp. 137–156, 2004
  55. Bolstered error estimation
    Pattern Recognition, vol. 37, no. 6, pp. 1267–1281, 2004
  56. A probabilistic theory of clustering
    Pattern Recognition, vol. 37, no. 5, pp. 917–925, 2004
  57. Classifier performance as a function of distributional complexity
    Pattern Recognition, vol. 37, no. 8, pp. 1641–1651, 2004
  58. A Bayesian connectivity-based approach to constructing probabilistic gene regulatory networks
    Bioinformatics, vol. 20, no. 17, pp. 2918–2927, 2004
  59. Editorial
    EURASIP Journal on Applied Signal Processing, vol. 2004, no. 1, pp. 3–4, 2004
  60. Gene Prediction Using Multinomial Probit Regression with Bayesian Gene Selection
    EURASIP Journal on Applied Signal Processing, vol. 2004, no. 1, pp. 115–124, 2004
  61. Reduction Mappings between Probabilistic Boolean Networks
    EURASIP Journal on Applied Signal Processing, vol. 2004, no. 1, pp. 125–131, 2004
  62. Genomic Signal Processing: The Salient Issues
    EURASIP Journal on Applied Signal Processing, vol. 2004, no. 1, pp. 146–153, 2004
  63. Chemopreventive n-3 Polyunsaturated Fatty Acids Reprogram Genetic Signatures during Colon Cancer Initiation and Progression in the Rat
    Cancer Research, vol. 64, no. 18, pp. 6797–6804, 2004
  64. Journal of Biological Systems, vol. 12, no. 3, p. 371, 2004
  65. International Journal of Pattern Recognition and Artificial Intelligence, vol. 17, no. 2, p. 167, 2003
  66. Morphological quantification of surface roughness
    Optical Engineering, vol. 42, no. 6, p. 1795, 2003
  67. Machine Learning, vol. 52, no. 1/2, pp. 169–191, 2003
  68. Genomic signal processing
    Signal Processing, vol. 83, no. 4, pp. 691–694, 2003
  69. Efficient selection of feature sets possessing high coefficients of determination based on incremental determinations
    Signal Processing, vol. 83, no. 4, pp. 695–712, 2003
  70. Construction of genomic networks using mutual-information clustering and reversible-jump Markov-chain-Monte-Carlo predictor design
    Signal Processing, vol. 83, no. 4, pp. 745–761, 2003
  71. Mappings between probabilistic Boolean networks
    Signal Processing, vol. 83, no. 4, pp. 799–809, 2003
  72. Design of multi-mask aperture filters
    Signal Processing, vol. 83, no. 9, pp. 1961–1971, 2003
  73. Steady-state analysis of genetic regulatory networks modelled by probabilistic Boolean networks
    Comparative and Functional Genomics, vol. 4, no. 6, pp. 601–608, 2003
  74. Gene selection: a Bayesian variable selection approach
    Bioinformatics, vol. 19, no. 1, pp. 90–97, 2003
  75. Missing-value estimation using linear and non-linear regression with Bayesian gene selection
    Bioinformatics, vol. 19, no. 17, pp. 2302–2307, 2003
  76. Design of optimal binary filters under joint multiresolution–envelope constraint
    Pattern Recognition Letters, vol. 24, no. 7, pp. 937–945, 2003
  77. Granulometric parametric estimation for the random Boolean model using optimal linear filters and optimal structuring elements
    Pattern Recognition Letters, vol. 24, no. 1-3, pp. 283–293, 2003
  78. Application of image-based granulometry to siliceous and calcareous estuarine and marine sediments
    Estuarine, Coastal and Shelf Science, vol. 58, no. 2, pp. 227–239, 2003
  79. The role of certain Post classes in Boolean network models of genetic networks
    Proceedings of the National Academy of Sciences, vol. 100, no. 19, pp. 10734–10739, 2003
  80. Machine Learning, vol. 52, no. 1/2, pp. 11–30, 2003
  81. Corrected small-sample estimation of the Bayes error
    Bioinformatics, vol. 19, no. 8, pp. 944–951, 2003
  82. RNAi Microarray Analysis in Cultured Mammalian Cells
    Genome Research, vol. 13, no. 10, pp. 2341–2347, 2003
  83. Simulation of cDNA microarrays via a parameterized random signal model
    Journal of Biomedical Optics, vol. 7, no. 3, p. 507, 2002
  84. From Boolean to probabilistic Boolean networks as models of genetic regulatory networks
    Proceedings of the IEEE, vol. 90, no. 11, pp. 1778–1792, 2002
  85. Gene perturbation and intervention in probabilistic Boolean networks
    Bioinformatics, vol. 18, no. 10, pp. 1319–1331, 2002
  86. Probabilistic Boolean networks: a rule-based uncertainty model for gene regulatory networks
    Bioinformatics, vol. 18, no. 2, pp. 261–274, 2002
  87. Journal of Mathematical Imaging and Vision, vol. 16, no. 3, pp. 179–180, 2002
  88. Simulation Toolbox for 3D-FISH Spot-Counting Algorithms
    Real-Time Imaging, vol. 8, no. 3, pp. 203–212, 2002
  89. Inference from Clustering with Application to Gene-Expression Microarrays
    Journal of Computational Biology, vol. 9, no. 1, pp. 105–126, 2002
  90. Strong Feature Sets from Small Samples
    Journal of Computational Biology, vol. 9, no. 1, pp. 127–146, 2002
  91. Ratio statistics of gene expression levels and applications to microarray data analysis
    Bioinformatics, vol. 18, no. 9, pp. 1207–1215, 2002
  92. Journal of Mathematical Imaging and Vision, vol. 17, no. 3, pp. 271–281, 2002
  93. Journal of Mathematical Imaging and Vision, vol. 16, no. 3, pp. 199–222, 2002
  94. Journal of Mathematical Imaging and Vision, vol. 16, no. 3, pp. 181–197, 2002
  95. Optimal linear granulometric estimation for random sets
    Pattern Recognition, vol. 35, no. 6, pp. 1315–1325, 2002
  96. Morphological spot counting from stacked images for automated analysis of gene copy numbers by fluorescence in situ hybridization
    Journal of Biomedical Optics, vol. 7, no. 1, p. 109, 2002
  97. Journal of Biological Systems, vol. 10, no. 4, p. 431, 2002
  98. Journal of Biological Systems, vol. 10, no. 4, p. 337, 2002
  99. Asymptotic joint normality of the granulometric moments
    Pattern Recognition Letters, vol. 22, no. 14, pp. 1537–1543, 2001
  100. Robust optimal granulometric bandpass filters
    Signal Processing, vol. 81, no. 7, pp. 1357–1372, 2001
  101. Optimization of linear filters under power-spectral-density stabilization
    IEEE Transactions on Signal Processing, vol. 49, no. 10, pp. 2292–2300, 2001
  102. Small sample issues for microarray-based classification
    Comparative and Functional Genomics, vol. 2, no. 1, pp. 28–34, 2001
  103. Morphological granulometric estimation of random patterns in the context of parameterized random sets
    Pattern Recognition, vol. 34, no. 6, pp. 1207–1217, 2001
  104. Non-homothetic granulometric mixing theory with application to blood cell counting
    Pattern Recognition, vol. 34, no. 12, pp. 2547–2560, 2001
  105. Journal of Mathematical Imaging and Vision, vol. 14, no. 1, pp. 53–72, 2001
  106. Bayesian robust optimal linear filters
    Signal Processing, vol. 81, no. 12, pp. 2503–2521, 2001
  107. Multivariate Measurement of Gene Expression Relationships
    Genomics, vol. 67, no. 2, pp. 201–209, 2000
  108. A Constant-time Algorithm for Erosions/Dilations with Applications to Morphological Texture Feature Computation
    Real-Time Imaging, vol. 6, no. 3, pp. 223–239, 2000
  109. Coefficient of determination in nonlinear signal processing
    Signal Processing, vol. 80, no. 10, pp. 2219–2235, 2000
  110. Aperture filters
    Signal Processing, vol. 80, no. 4, pp. 697–721, 2000
  111. Heterogeneous morphological granulometries
    Pattern Recognition, vol. 33, no. 6, pp. 1047–1057, 2000
  112. A switching algorithm for design of optimal increasing binary filters over large windows
    Pattern Recognition, vol. 33, no. 6, pp. 1059–1081, 2000
  113. Hybrid human–machine binary morphological operator design. An independent constraint approach
    Signal Processing, vol. 80, no. 8, pp. 1469–1487, 2000
  114. Nature, vol. 406, no. 6795, pp. 536–540, 2000
  115. Multiresolution Bayesian design of binary filters
    Journal of Electronic Imaging, vol. 9, no. 3, p. 283, 2000
  116. General nonlinear framework for the analysis of gene interaction via multivariate expression arrays
    Journal of Biomedical Optics, vol. 5, no. 4, p. 411, 2000
  117. Iterative design of morphological binary image operators
    Optical Engineering, vol. 39, no. 12, p. 3106, 2000
  118. Unsupervised morphological granulometric texture segmentation of digital mammograms
    Journal of Electronic Imaging, vol. 8, no. 1, p. 65, 1999
  119. Two-stage binary filters
    Journal of Electronic Imaging, vol. 8, no. 3, p. 219, 1999
  120. Maximum-likelihood estimation and optimal filtering in the nondirectional, one-dimensional binomial germ-grain model
    Pattern Recognition, vol. 32, no. 9, pp. 1529–1541, 1999
  121. Journal of Mathematical Imaging and Vision, vol. 11, no. 3, pp. 239–254, 1999
  122. Journal of Mathematical Imaging and Vision, vol. 10, no. 3, pp. 253–267, 1999
  123. Probability distributions for discrete one-dimensional coverage processes
    Signal Processing, vol. 69, no. 2, pp. 163–168, 1999
  124. Robustness of granulometric moments
    Pattern Recognition, vol. 32, no. 9, pp. 1657–1665, 1999
  125. Secondarily constrained Boolean filters
    Signal Processing, vol. 71, no. 3, pp. 247–263, 1998
  126. Asymptotic granulometric mixing theorem: Morphological estimation of sizing parameters and mixture proportions
    Pattern Recognition, vol. 31, no. 1, pp. 53–61, 1998
  127. Robustness of optimal binary filters
    Journal of Electronic Imaging, vol. 7, no. 1, p. 117, 1998
  128. Logical structural filters
    Optical Engineering, vol. 37, no. 6, p. 1668, 1998
  129. Automatic programming of binary morphological machines by design of statistically optimal operators in the context of computational learning theory
    Journal of Electronic Imaging, vol. 6, no. 1, p. 54, 1997
  130. Size distributions for multivariate morphological granulometries: texture classification and statistical properties
    Optical Engineering, vol. 36, no. 5, p. 1518, 1997
  131. Design and analysis of fuzzy morphological algorithms for image processing
    IEEE Transactions on Fuzzy Systems, vol. 5, no. 4, pp. 570–584, 1997
  132. Journal of Mathematical Imaging and Vision, vol. 7, no. 2, pp. 175–192, 1997
  133. Optimal reconstructive t-openings for disjoint and statistically modeled nondisjoint grains
    Signal Processing, vol. 56, no. 1, pp. 45–58, 1997
  134. Maximum-Likelihood Estimation for the Two-Dimensional Discrete Boolean Random Set and Function Models Using Multidimensional Linear Samples
    Graphical Models and Image Processing, vol. 59, no. 4, pp. 221–231, 1997
  135. Optimal and adaptive reconstructive granulometric bandpass filters
    Signal Processing, vol. 61, no. 1, pp. 65–81, 1997
  136. Logically Efficient Spatial Resolution Conversion Using Paired Increasing Operators
    Real-Time Imaging, vol. 3, no. 1, pp. 7–16, 1997
  137. Existence and synthesis of minimal-basis morphological solutions for a restoration-based boundary-value problem
    Journal of Mathematical Imaging and Vision, vol. 6, no. 4, pp. 315–333, 1996
  138. Bayesian morphological peak estimation and its application to chromosome counting via fluorescence In situ hybridization
    Pattern Recognition, vol. 29, no. 6, pp. 987–996, 1996
  139. Optimal nonlinear filter for signal-union-noise and runlength analysis in the directional one-dimensional discrete Boolean random set model
    Signal Processing, vol. 51, no. 3, pp. 147–166, 1996
  140. Optimal iterative increasing binary morphological filters
    Optical Engineering, vol. 35, no. 12, p. 3495, 1996
  141. Optimal binary differencing filters: design, logic complexity, precision analysis, and application to digital document processing
    Journal of Electronic Imaging, vol. 5, no. 1, p. 66, 1996
  142. Adaptive reconstructive tau-openings: convergence and the steady-state distribution
    Journal of Electronic Imaging, vol. 5, no. 3, p. 266, 1996
  143. A general axiomatic theory of intrinsically fuzzy mathematical morphologies
    IEEE Transactions on Fuzzy Systems, vol. 3, no. 4, pp. 389–403, 1995
  144. Mean-Absolute-Error Representation and Optimization of Computational-Morphological Filters
    Graphical Models and Image Processing, vol. 57, no. 1, pp. 27–37, 1995
  145. Model-Based Morphology: The Opening Spectrum
    Graphical Models and Image Processing, vol. 57, no. 1, pp. 1–12, 1995
  146. Recursive maximum-likelihood estimation in the one-dimensional discrete Boolean random set model
    Signal Processing, vol. 43, no. 1, pp. 1–15, 1995
  147. Morphological pattern-spectrum classification of noisy shapes: Exterior granulometries
    Pattern Recognition, vol. 28, no. 1, pp. 81–98, 1995
  148. Representation of Linear Granulometric Moments for Deterministic and Random Binary Euclidean Images
    Journal of Visual Communication and Image Representation, vol. 6, no. 1, pp. 69–79, 1995
  149. Computational Gray-scale Mathematical Morphology on Lattices (A Comparator-based Image Algebra) Part 1: Architecture
    Real-Time Imaging, vol. 1, no. 1, pp. 69–85, 1995
  150. Optimal mean-absolute-error filtering of gray-scale signals by the morphological hit-or-miss transform
    Journal of Mathematical Imaging and Vision, vol. 4, no. 3, pp. 255–271, 1994
  151. Computational mathematical morphology
    Signal Processing, vol. 38, no. 1, pp. 21–29, 1994
  152. Precision of morphological-representation estimators for translation-invariant binary filters: Increasing and nonincreasing
    Signal Processing, vol. 40, no. 2-3, pp. 129–154, 1994
  153. Minimal representation of t-openings via pattern bases
    Pattern Recognition Letters, vol. 15, no. 10, pp. 1029–1033, 1994
  154. Gray-scale morphological granulometric texture classification
    Optical Engineering, vol. 33, no. 8, p. 2713, 1994
  155. Size-distribution estimation in process fluids by ultrasound for particle sizes in the wavelength range
    Optical Engineering, vol. 32, no. 8, p. 1967, 1993
  156. Classification of trabecular structure in magnetic resonance images based on morphological granulometries
    Magnetic Resonance in Medicine, vol. 29, no. 3, pp. 358–370, 1993
  157. Linear granulometric moments of noisy binary images
    Journal of Mathematical Imaging and Vision, vol. 3, no. 3, pp. 299–319, 1993
  158. Gray-scale granulometries compatible with spatial scalings
    Signal Processing, vol. 34, no. 1, pp. 1–17, 1993
  159. Estimation of optimal morphological t-opening parameters based on independent observation of signal and noise pattern spectra
    Signal Processing, vol. 29, no. 3, pp. 265–281, 1992
  160. Morphological texture-based maximum-likelihood pixel classification based on local granulometric moments
    Pattern Recognition, vol. 25, no. 10, pp. 1181–1198, 1992
  161. Morphological pseudoconvolutions: One-parameter families of derived filters with increased invariant classes
    Circuits Systems and Signal Processing, vol. 11, no. 1, pp. 195–228, 1992
  162. Euclidean gray-scale granulometries: Representation and umbra inducement
    Journal of Mathematical Imaging and Vision, vol. 1, no. 1, pp. 7–21, 1992
  163. Hole-spectrum representation and model-based optimal morphological restoration of binary images degraded by subtractive noise
    Journal of Mathematical Imaging and Vision, vol. 1, no. 3, pp. 257–278, 1992
  164. Statistics of the morphological pattern-spectrum moments for a random-grain model
    Journal of Mathematical Imaging and Vision, vol. 1, no. 2, pp. 121–135, 1992
  165. Unification of nonlinear filtering in the context of binary logical calculus, part II: Gray-scale filters
    Journal of Mathematical Imaging and Vision, vol. 2, no. 2-3, pp. 185–192, 1992
  166. Unification of nonlinear filtering in the context of binary logical calculus, part I: Binary filters
    Journal of Mathematical Imaging and Vision, vol. 2, no. 2-3, pp. 173–183, 1992
  167. Optimal mean-square N-observation digital morphological filters I. Optimal binary filters
    CVGIP: Image Understanding, vol. 55, no. 1, pp. 36–54, 1992
  168. Optimal mean-square N-observation digital morphological filters II. Optimal gray-scale filters
    CVGIP: Image Understanding, vol. 55, no. 1, pp. 55–72, 1992
  169. SIAM Journal on Applied Mathematics, vol. 51, no. 6, Article ID 0151090, 1991
  170. SIAM Journal on Applied Mathematics, vol. 47, no. 2, Article ID 0147028, 1987