Joseph M. Francos's Homepage

Professor of Electrical and Computer Engineering,
Ben-Gurion University of the Negev, Israel.
E-mail :francos@ee.bgu.ac.il


Research Interests:
image registration, estimation of object deformations from images, parametric modeling and estimation of 2-D random fields, random fields theory, and texture analysis and synthesis.

Address:
Electrical and Computer Engineering Department, Ben-Gurion University, Beer Sheva 84105, Israel.

Selected Publications


[1] J. M. Francos, A. Z. Meiri and B. Porat, ``A Unified Texture Model Based on a 2-D Wold Like Decomposition," IEEE Trans. Signal Process., vol. 41, pp. 2665-2678, August 1993.

[2] J. M. Francos, ``Orthogonal Decompositions of 2-D Random Fields and their Applications in 2-D Spectral Estimation," invited chapter, Signal Processing and Its Applications Volume, Handbook of Statistics , N. K. Bose and C. R. Rao (eds.), North-Holland Publishing Comp., 1993, pp. 207-227.

[3] J. M. Francos, A. Z. Meiri and B. Porat, ``A Wold-Like Decomposition of 2-D Discrete Homogeneous Random Fields," Annals Appl. Prob., vol. 5, pp. 248-260, February 1995.

[4] J. M. Francos, B. Porat and A. Z. Meiri, ``Orthogonal Decompositions of 2-D Nonhomogeneous Discrete Random Fields," Math. Control, Sig. Syst., vol. 8, pp. 375-389, October 1995.

[5] J. M. Francos, A. Narasimhan and J. W. Woods, ``Maximum Likelihood Parameter Estimation of the Harmonic, Evanescent and Purely Indeterministic Components of Discrete Homogeneous Random Fields," IEEE Trans. Info. Theory, vol. 42, pp. 916-930, May 1996.

[6] J. M. Francos, A. Narasimhan and J. W. Woods, ``Maximum Likelihood Parameter Estimation of Discrete Homogeneous Random Fields with Mixed Spectral Distributions," IEEE Trans. Signal Process., vol. 44 , pp. 1242-1255, May 1996.

[7] J. M. Francos, A. Narasimhan and J. W. Woods, ``Maximum Likelihood Parameter Estimation of Textures Using a Wold Decomposition Based Model," IEEE Trans. Image Process., vol. 4, pp. 1655-1666, December 1995.

[8] R. Krishnamurthy, J. W. Woods, and J. M. Francos, ``Adaptive Restoration of Textured Images with Mixed Spectra Using a Generalized Wiener Filter," IEEE Trans. Image Process., vol. 5, pp. 648-652, April 1996.

[9] B. Friedlander and J. M. Francos, ``Estimation of Amplitude and Phase Parameters of Multi-Component Signals," IEEE Trans. Signal Process., vol. 43 , pp. 917-926, April 1995.

[10] J. M. Francos and B. Friedlander, ``Bounds for Estimation of Multi-Component Signals with Random Amplitude and Deterministic Phase," IEEE Trans. Signal Process., vol. 43, pp. 1161-1172, May 1995.

[11] B. Friedlander and J. M. Francos, ``On the Accuracy of Estimating the Parameters of a Regular Stationary Process," IEEE Trans. Info. Theory., vol. 42, pp. 1202-1211, July 1996.

[12] J. M. Francos and B. Friedlander, ``Bounds for Estimation of Complex Exponentials in Unknown Colored Noise," IEEE Trans. Signal Process., vol. 43 , pp. 2176-2185, September 1995.

[13] R. Sriram, J. M. Francos, and W. A. Pearlman, ``Texture Coding Using a Wold Decomposition Based Model," IEEE Trans. Image Process., vol. 5, pp. 1382-1386, September 1996.

[14] B. Friedlander and J. M. Francos, ``An Estimation Algorithm for 2-D Polynomial Phase Signals," IEEE Trans. Image Process., vol. 5, pp. 1084-1087, June 1996.

[15] J. M. Francos, ``Bounds on the Accuracy of Estimating the Parameters of Discrete Homogeneous Random Fields with Mixed Spectral Distributions," IEEE Trans. Info. Theory., vol. 43, pp. 908-922, May 1997.

[16] B. Friedlander and J. M. Francos, ``Model Based Phase Unwrapping of 2-D Signals," IEEE Trans. Signal Process., vol. 44, pp. 2999-3007, December 1996.

[17] J. M. Francos and B. Friedlander, ``Two-Dimensional Polynomial Phase Signals: Parameter Estimation and Bounds," Multidimensional Systems and Signal Process., vol. 9, No. 2, pp. 173-205, 1998.

[18] J. M. Francos and B. Friedlander, ``Parameter Estimation of Two-Dimensional Moving Average Random Fields," IEEE Trans. Signal Process., vol. 46, pp. 2157-2165, August 1998.

[19] J. M. Francos and B. Friedlander, ``Optimal Parameter Selection in the Phase Differencing Algorithm for 2-D Phase Estimation and Unwrapping," IEEE Trans. Signal Process., vol. 47, pp. 273-279, January 1999.

[20] J. M. Francos and B. Friedlander, ``Parameter Estimation of 2-D Random Amplitude Polynomial Phase Signals," IEEE Trans. Signal Process., vol. 47, pp. 1795-1810, July 1999.

[21] J. M. Francos, ``The Evanescent Field Transform for Efficient Estimation of Homogeneous Random Fields with Mixed Spectral Distributions," IEEE Trans. Signal Process., vol. 47, pp. 2167-2180, August 1999.

[22] J. M. Francos and H. Permuter, ``Parametric Estimation of the Orientation of Textured Planar Surfaces," IEEE Trans. Image Process., vol. 10, pp. 403-418, March 2001.

[23] H. Permuter and J. M. Francos, ``Estimating the Orientation of Planar Surfaces: Algorithms and Bounds," IEEE Trans. Info. Theory, vol. 46, pp. 1908-1920, August 2000.

[24] G. Cohen and J. M. Francos, ``Least Squares Estimation of Two-Dimensional Regression Models in Colored Noise," Jou. Multiv. Anal., vol.82, pp. 431-444, August 2002.

[25] J. M. Francos, ``An Exact Cramer-Rao Bound on the Estimation of Complex Valued Homogeneous Random Fields," IEEE Trans. Signal Process., vol. 50, pp. 710-724, March 2002.

[26] G. Cohen and J. M. Francos, ``Least Squares Estimation of 2-D Sinusoids in Colored Noise: Asymptotic Analysis," IEEE Trans. Info. Theory, vol. 48, pp. 2243-2252, August 2002.

[27] J. M. Francos and A. Nehorai, ``Interference Mitigation in STAP using the Two-Dimensional Wold Decomposition Model," IEEE Trans. Signal Process., vol. 51, pp. 2461-2470, October 2003.

[28] G. Cohen and J. M. Francos, ``On the Spectral Representation and Ergodicity of Evanescent Random Fields," Prob. Theory & Related Fields , vol. 127, pp. 277-304, August 2003.

[29] M. Kliger and J. M. Francos, ``MAP Model Order Selection Rule for 2-D Sinusoids in White Noise," IEEE Trans. Signal Process., vol. 53, pp. 2563-2575, July 2005.

[30] M. Kliger and J. M. Francos, ``Strong Consistency of the Over- and Under-Determined LSE of 2-D Sinusoids in White Noise," IEEE Trans. Info. Theory, vol. 51, pp. 3314-3321, September 2005.

[31] H. Permuter, J. M. Francos and I. Jermyn, ``A Study of Gaussian Mixture Models of Colour and Texture Features for Image Classification and Segmentation," Pattern Recognition vol. 39, pp. 695-706, February 2006.

[32] M. Kliger and J. M. Francos, ``Asymptotic Normality of the Sample Mean and Covariances of Evanescent Fields in Noise," Jou. Multiv. Anal., vol. 98, pp. 1853-1875, 2007.

[33] M. Kliger and J. M. Francos, ``Strong Consistency of a Family of Model Order Selection Rules for Estimating 2-D Sinusoids in Noise," Statistics and Probability Letters, vol. 78, pp. 3075-3081, 2008.

[34] M. Kliger and J. M. Francos, ``On the Rank of the Covariance Matrix of an Evanescent Field," Jou. Multiv. Anal., 2009.

[35] S. Z. Kovalsky, R. Hagege, G. Cohen, and J. M. Francos, ``Estimation of joint geometric and radiometric image deformations," IEEE Trans. Pattern Anal. Mach. Intell., 2010.

[36] R. Hagege and J. M. Francos, ``Parametric Estimation of Affine Transformations: An Exact Linear Solution," Jou. of Math. Imaging and Vision , 2010.

[37] T. Nave, J. M. Francos and R. Hagege ``Object Registration Using Graph Representations of Images," Jou. of Concrete and Applicable Mathematics , vol. 8, pp. 448-454, 2010.

[38] S. Z. Kovalsky, G. Cohen, and J. M. Francos, ``Strongly consistent estimation of the sample distribution of noisy continuous-parameter fields," IEEE Trans. Info. Theory , vol. 57, pp. 1637-1644, March 2011.

[39] K. Bentolila and J. M. Francos, ``Combined Affine Geometric Transformations and Spatially Dependent Radiometric Deformations: A Decoupled Linear Estimation Framework," IEEE Trans. on Image Process. vol. 20, pp. 2886-2895, October 2011.

[40] M. Kliger and J. M. Francos, ``A Strongly Consistent Model Order Selection Rule for Estimating the Parameters of 2-D Sinusoids in Colored Noise," IEEE Trans. Info. Theory 2013

[41] R. Hagege and J. M. Francos, ``Linear Estimation of Time Warped Signals," IEEE Trans. Info. Theory 2013

[42] J. Bentolila and J. M. Francos, ``Homography and Fundamental Matrix Estimation from Region Matches Using an Affine Error Metric," Jou. of Math. Imaging and Vision , vol. 49 (2), pp. 481-491, June 2014

[43] J. Bentolila and J. M. Francos, ``Conic Epipolar Constraints from Affine Correspondences," Computer Vision and Image Understanding , Feb. 2014

[44] R. Hagege and J. M. Francos, ``Universal Manifold Embedding for Geometrically Deformed Functions," IEEE Trans. Info. Theory , vol. 62, pp. 3676-3684, March 2016.

[45] Ran Sharon, Joseph M. Francos, and Rami R. Hagege, ``Geometry and Radiometry Invariant Matched Manifold Detection," IEEE Trans. Image Process. , vol. 26, pp. 4363-4376, September 2017.

[46] Y. Tocker, R. R. Hagege and J. M. Francos, ``Dynamic Spatial Predicted Background," IEEE Trans. Image Process., pp. 5517-5530, April 2020.

[47] Z. Yavo, Y. Haitman, J. M. Francos and L. L. Scharf, ``Matched Manifold Detection for Group-Invariant Registration and Classification of Images," IEEE Trans. Sig. Process., September 2021.

[48] Y. Haitman, J. M. Francos and L. L. Scharf, ``Grassmannian Dimensionality Reduction for Optimized Universal Manifold Embedding Representation of 3D Point Clouds," Proc. Int. Conf. Comp. Vision, ICCV21 , pp. 4213-4221, October 2021.

[49] A. Efraim and J. M. Francos, ``Dual Transformation and Manifold Distances Voting for Outlier Rejection in Point Cloud Registration," Proc. Int. Conf. Comp. Vision, ICCV21, pp. 4204-4212, October 2021.

[50] N. Lang and J. M. Francos, ``DeepUME: Learning the Universal Manifold Embedding for Robust Point Cloud Registration," Proc. Int. British Mach. Vision Conf., BMVC21, November 2021.

[51] A. Efraim and J. M. Francos, ``Estimating Rigid Transformations of Point Clouds Using the Universal Manifold Embedding with Application to Terrain Model Registration," Jou. of Math. Imaging and Vision, 64(3), pp. 343-363, May 2022.