7.1.3.1 Order Statistics, Rank Statistics, Filters

Heygster, G.[Georg],
Rank Filters in Digital Image Processing,
CGIP(19), No. 2, June 1982, pp. 148-164.
Elsevier DOI BibRef 8206

Tagare, H.D., de Figueiredo, R.J.P.,
Order Filters,
PIEEE(73), 1985, pp. 163-165. BibRef 8500

Hodgson, R.M., Bailey, D.G., Naylor, M.J., Ng, A.L.M., McNeill, S.J.,
Properties, implementations and applications of rank filters,
IVC(3), No. 1, February 1985, pp. 3-14.
Elsevier DOI 0401
BibRef

Kim, V.[Vladimir], Yaroslavskii, L.P.[Leonid P.],
Rank Algorithms for Picture Processing,
CVGIP(35), No. 2, August 1986, pp. 234-258.
Elsevier DOI BibRef 8608

Yaroslavskii, L.P.[Leonid P.],
Local criteria: a unified approach to local adaptive linear and rank filters for image restoration and enhancement,
ICIP94(II: 517-521).
IEEE DOI 9411
BibRef

Allebach, J.P.[Jan P.], Ochoa, E.[Ellen], Sweeney, D.W.[Donald W.],
Optical ranked-order filtering using threshold decomposition,
US_Patent4,949,389, Aug 14, 1990
WWW Link. BibRef 9008

Arce, G.R., Tian, M.[Mu],
Order Statistic Filter Banks,
IP(5), No. 6, June 1996, pp. 827-837.
IEEE DOI 9607
BibRef
Earlier: ICIP94(II: 570-574).
IEEE DOI 9411
BibRef

Asano, A., Zhang, W., Itoh, K., Ichioka, Y.,
Convergence Properties of Recursive Rank-Order Filter and Neural Network,
PRL(11), 1990, pp. 557-560. BibRef 9000

Butz, A.R.,
A Class of Rank Order Smoothers,
ASSP(34), 1986, pp. 157-165. BibRef 8600

Butz, A.R.,
Some Properties of a Class of Rank Order Smoothers,
ASSP(34), 1986, pp. 614-615. BibRef 8600

Bovik, A.C., Huang, T.S., Munson, Jr., D.C.,
A Generalization of Median Filtering Using Linear Combinations of Order Statistics,
ASSP(31), No. 6, December 1983, pp. 1342-1350.
See also Edge-Sensitive Image Restoration Using Order-Constrained Least Squares Methods. BibRef 8312

Ronse, C.[Christian],
Order-Configuration Functions: Mathematical Characterizations and Applications to Digital Signal and Image Processing,
IS(50), 1990, pp. 275-327.
See also Lattice-Theoretical Fixpoint Theorems in Morphological Image Filtering. BibRef 9000

Chaudhuri, B.B.,
An Efficient Algorithm for Running Window Pel Gray Level Ranking in 2-D Images,
PRL(11), 1990, pp. 77-80. BibRef 9000

Pitas, I., Venetsanopoulos, A.N.,
Order statistics in digital image processing,
", PIEEE(), 1992, pp. 1893-1921.
IEEE Top Reference. BibRef 9200

Pitas, I., Tsakalides, P.,
Multivariate ordering in color image filtering,
CirSysVideo(1), No. 3, September 1991, pp. 247-259, 295-6.
IEEE Top Reference. 0206
BibRef

Himayat, N., Kassam, S.A.,
A Structure for Adaptive Order Statistics Filtering,
IP(3), No. 3, May 1994, pp. 265-280.
IEEE DOI BibRef 9405

Arce, G.R.[Gonzalo R.], Hall, T.A., Barner, K.E.[Kenneth E.],
Permutation weighted order statistic filter lattices,
IP(4), No. 8, August 1995, pp. 1070-1083.
IEEE DOI 0402
BibRef

Charif-Chefchaouni, M., Schonfeld, D.,
Morphological representation of order-statistics filters,
IP(4), No. 6, June 1995, pp. 838-845.
IEEE DOI 0402
BibRef

Bouaynaya, N.[Nidhal], Charif-Chefchaouni, M.[Mohammed], Schonfeld, D.[Dan],
Spatially Variant Morphological Restoration and Skeleton Representation,
IP(15), No. 11, November 2006, pp. 3579-3591.
IEEE DOI 0610
BibRef

Bouaynaya, N.[Nidhal], Charif-Chefchaouni, M.[Mohammed], Schonfeld, D.[Dan],
M-Idempotent and Self-Dual Morphological Filters,
PAMI(34), No. 4, April 2012, pp. 805-813.
IEEE DOI 1203
Converges after M operations. Applied to Speckle noise removal from radar. BibRef

Regazzoni, C.S., Teschioni, A.,
A New Approach to Vector Median Filtering Based on Space-Filling Curves,
IP(6), No. 7, July 1997, pp. 1025-1037.
IEEE DOI 9707
BibRef

Teschioni, A., Regazzoni, C.S., Stringa, E.,
A Markovian Approach to Color Image Restoration Based on Space Filling Curves,
ICIP97(II: 462-465).
IEEE DOI BibRef 9700

Plataniotis, K.N.[Kostas N.], Regazzoni, C.S., Teschioni, A., Venetsanopoulos, A.N.,
A New Distance Measure for Vectorial Rank-Order Filters Based on Space Filling Curves,
ICIP96(I: 411-414).
IEEE DOI BibRef 9600

Gasteratos, A., Andreadis, I., Tsalides, P.,
Realization of Rank Order Filters Based on Majority Gate,
PR(30), No. 9, September 1997, pp. 1571-1576.
Elsevier DOI 9708
BibRef

Gasteratos, A., Andreadis, I., Tsalides, P.,
A Parallel Architecture for Implementation of Filters Based on Order Statistics,
PRL(19), No. 9, 31 July 1998, pp. 815-820. BibRef 9807

Atourian, S.M., Egiazarian, K.O., Gevorkian, D.Z., Astola, J.T.,
Combining the Discrete Wavelet Transforms and Rank Order Based Filters for Image Restoration,
OptEng(37), No. 1, January 1998, pp. 189-201. 9802
BibRef

Wilburn, J.,
Developments in Generalized Ranked-Order Filters,
JOSA-A(15), No. 5, May 1998, pp. 1084-1099. 9805
BibRef

Palenichka, R.M., Zinterhof, P., Rytsar, Y.B., Ivasenko, I.B.,
Structure Adaptive Image Filtering Using Order Statistics,
JEI(7), No. 2, April 1998, pp. 339-349. 9807
BibRef

Zozor, S., Moisan, E., Amblard, P.O.,
Revisiting the Estimation of the Mean Using Order-Statistics,
SP(68), No. 2, July 1998, pp. 155-173. 9809
BibRef

Lin, C.C.[Ching C.], Kuo, C.J.[Chung J.],
Two-Dimensional Rank-Order Filter by Using Max-Min Sorting Network,
CirSysVideo(8), No. 8, December 1998, pp. 941.
IEEE Top Reference. BibRef 9812
Earlier:
Fast Response 2-D Rank Order Filter by Using Max-Min Sorting Network,
ICIP96(I: 403-406).
IEEE DOI BibRef

Tan, H.Z., Chow, T.W.S.,
Recursive scheme for ARMA coefficient and order estimation with noisy input-output data,
VISP(146), No. 2, April 1999, pp. 65. BibRef 9904

Haseyama, M.[Miki], Kitajima, H.[Hideo],
An ARMA order selection method with fuzzy reasoning,
SP(81), No. 6, June 2001, pp. 1331-1335.
Elsevier DOI 0106
BibRef

Micó, L.[Luisa], Oncina, J.[Jose],
An approximate median search algorithm in non-metric spaces,
PRL(22), No. 10, August 2001, pp. 1145-1151.
Elsevier DOI 0108

See also fast pivot-based indexing algorithm for metric spaces, A. BibRef

Barner, K.E.[Kenneth E.], Nie, Y.[Yao], An, W.[Wei],
Fuzzy Ordering Theory and Its Use in Filter Generalization,
JASP(2001), No. 4, December 2001, pp. 206-218. 0201
BibRef

Nie, Y.[Yao], Barner, K.E.,
The fuzzy transformation and its applications in image processing,
IP(15), No. 4, April 2006, pp. 910-927.
IEEE DOI 0604
BibRef
Earlier:
Fuzzy transformation and its applications,
ICIP03(I: 893-896).
IEEE DOI 0312
BibRef

Nie, Y.[Yao], Barner, K.E.,
Fuzzy Rank LUM Filters,
IP(15), No. 12, December 2006, pp. 3636-3654.
IEEE DOI 0611
BibRef

Morales, A., Boman, E., Ko, S.J.[Sung Jea],
An efficient algorithm to calculate sample and rank selection probabilities for weighted median filters,
SPLetters(9), No. 5, May 2002, pp. 148-150.
IEEE Top Reference. 0206
BibRef

Wilburn, J.B.[John Bart],
Development of the local maximum variety of ranked-order filters,
JOSA-A(19), No. 10, October 2002, pp. 1994-2004.
WWW Link. 0210
BibRef

Mitra, A.K., Lewis, T.L., Shaw, A.K.,
Rank-Order Filters for FOPEN Target Detection,
SPLetters(11), No. 2, February 2004, pp. 93-96.
IEEE Abstract. 0402
BibRef

Marshall, S.,
New direct design method for weighted order statistic filters,
VISP(151), No. 1, February 2004, pp. 1-8.
IEEE Abstract. 0403
BibRef

Xu, X.Y.[Xiao-Yin], Miller, E.L., Chen, D.B.[Dong-Bin], Sarhadi, M.,
Adaptive two-pass rank order filter to remove impulse noise in highly corrupted images,
IP(13), No. 2, February 2004, pp. 238-247.
IEEE DOI 0404
BibRef

Ponomaryov, V.I.[Volodymyr I.], Gallegos-Funes, F.J.[Francisco J.], Rosales-Silva, A.[Alberto],
Real-Time Color Image Processing Using Order Statistics Filters,
JMIV(23), No. 3, November 2005, pp. 315-319.
Springer DOI 0510
BibRef

Gallegos-Funes, F.J.[Francisco J.], Rosales-Silva, A.J.[Alberto J.], Toledo-Lopez, A.[Antonio],
Multichannel image processing by using the Rank M-type L-filter,
JVCIR(23), No. 2, February 2012, pp. 323-330.
Elsevier DOI 1201
Vector Rank M-type L-filter; Median M-type estimator; Ansari-Bradley-Siegel-Tukey M-type estimator; L-filter; Noise suppression; Impulsive noise; Impulsive noise detector; Color images; Color video sequences; Robustness BibRef

Toledo-Lopez, A.[Antonio], Gallegos-Funes, F.J.[Francisco J.], Ponomaryov, V.I.[Volodymyr I.],
Vector Median M-Type L Filter to Process Multichannel Images,
CIARP08(54-61).
Springer DOI 0809
BibRef

Rosales-Silva, A.J.[Alberto J.], Gallegos-Funes, F.J.[Francisco J.], Ponomaryov, V.I.[Volodymyr I.],
Fuzzy Directional (FD) Filter for impulsive noise reduction in colour video sequences,
JVCIR(23), No. 1, January 2012, pp. 143-149.
Elsevier DOI 1112
Fuzzy logic; Directional processing; Video colour sequences; Impulsive noise; Movement detection; Noise estimator; Spatio-temporal filtering; Processing time BibRef

Gallegos-Funes, F.J.[Francisco J.], Kravchenko, V.[Victor], Ponomaryov, V.I.[Volodymyr I.], Rosales-Silva, A.[Alberto],
Video Denoising by Fuzzy Directional Filter Using the DSP EVM DM642,
CIARP09(997-1004).
Springer DOI 0911
BibRef

Moreno-Escobar, J.A.[José A.], Gallegos-Funes, F.J.[Francisco J.], Ponomaryov, V.I.[Volodymyr I.],
Median M-Type Radial Basis Function Neural Network,
CIARP07(525-533).
Springer DOI 0711
BibRef

Rosales-Silva, A.[Alberto], Ponomaryov, V.I.[Volodymyr I.], Gallegos-Funes, F.J.[Francisco J.],
Fuzzy Vector Directional Filters for Multichannel Image Denoising,
CIARP07(124-133).
Springer DOI 0711
BibRef

Ponomaryov, V.I.[Volodymyr I.], Gallegos-Funes, F.J.[Francisco J.], Rosales-Silva, A.[Alberto], Loboda, I.[Igor],
3D Vector Directional Filters to Process Video Sequences,
CIARP06(474-480).
Springer DOI 0611
BibRef

Ponomaryov, V.I.[Volodymyr I.], Rosales-Silva, A.[Alberto], Gallegos-Funes, F.J.[Francisco J.],
3D Filtering of Colour Video Sequences Using Fuzzy Logic and Vector Order Statistics,
ACIVS09(210-221).
Springer DOI 0909
BibRef

Gallegos-Funes, F.J.[Francisco J.], Ponomaryov, V.I.[Volodymyr I.],
Real-time image filtering scheme based on robust estimators in presence of impulsive noise,
RealTimeImg(10), No. 2, April 2004, pp. 69-80.
Elsevier DOI 0405
BibRef

Ponomaryov, V.I.[Volodymyr I.],
Real-time 2D-3D filtering using order statistics based algorithms,
RealTimeIP(1), No. 3, April 2007, pp. 173-194.
Springer DOI 0001
BibRef

Meena, S.M., Linganagouda, K.,
Implementation and analysis of optimized architectures for rank order filter,
RealTimeIP(3), No. 1-2, March 2008, pp. xx-yy.
Springer DOI 0804
BibRef

Gonzalez, E.C.[Edgar Chavez], Figueroa, K.[Karina], Navarro, G.[Gonzalo],
Effective Proximity Retrieval by Ordering Permutations,
PAMI(30), No. 9, September 2008, pp. 1647-1658.
IEEE DOI 0808
For range and k-nearest neighbor. Predict closeness according to order of differences to anchor objects. BibRef

Fan, B.[Bin], Wu, F.C.[Fu-Chao], Hu, Z.Y.[Zhan-Yi],
Rotationally Invariant Descriptors Using Intensity Order Pooling,
PAMI(34), No. 10, October 2012, pp. 2031-2045.
IEEE DOI 1208
Interest regions based on intensity order in multiple support regions. BibRef

Wang, Z.H.[Zhen-Hua], Fan, B.[Bin], Wu, F.C.[Fu-Chao],
FRIF: Fast Robust Invariant Feature,
BMVC13(xx-yy).
DOI Link 1402
BibRef

Wang, Z.H.[Zhen-Hua], Fan, B.[Bin], Wu, F.C.[Fu-Chao],
Local Intensity Order Pattern for feature description,
ICCV11(603-610).
IEEE DOI 1201
Local features based on subregions. BibRef

Chan, C.H.[Chi Ho], Yan, F.[Fei], Kittler, J.V.[Josef V.], Mikolajczyk, K.[Krystian],
Full ranking as local descriptor for visual recognition: A comparison of distance metrics on S_n,
PR(48), No. 4, 2015, pp. 1328-1336.
Elsevier DOI 1502
Full ranking on a set of pixels as a descriptor. Study 8 metrics on BoW paradigm. BibRef

Roig, B.[Bernardino], Estruch, V.D.,
Localised rank-ordered differences vector filter for suppression of high-density impulse noise in colour images,
IET-IPR(10), No. 1, 2016, pp. 24-33.
DOI Link 1601
image colour analysis BibRef

Peris-Fajarnés, G.[Guillermo], Roig, B.[Bernardino], Vidal, A.[Anna],
Rank-Ordered Differences Statistic Based Switching Vector Filter,
ICIAR06(I: 74-81).
Springer DOI 0610
BibRef

Kar, D.C.,
On Pruning of Data in a Sliding Window for Computing a Rank-Order Element,
SPLetters(24), No. 7, July 2017, pp. 1005-1009.
IEEE DOI 1706
data reduction, data pruning, data samples, rank-order element computing, sliding window, window size reduction, Business, Image processing, Indexes, Random variables, Signal processing algorithms, Simulation, Order statistic, pruning, rank-order, sliding, window BibRef

Choi, Y.[Yukyung], Park, C.[Chaehoon], Lee, J.Y.[Joon-Young], Kweon, I.S.[In So],
Robust Binary Feature Using the Intensity Order,
ACCV14(I: 569-584).
Springer DOI 1504
BibRef

Dai, Y.C.[Yu-Chao], Li, H.D.[Hong-Dong],
Rank Minimization or Nuclear-Norm Minimization: Are We Solving the Right Problem?,
DICTA14(1-8)
IEEE DOI 1502
computer vision BibRef

Mosbach, D.[Dennis], Hagen, H.[Hans], Godehardt, M.[Michael], Wirjadi, O.[Oliver],
Fast and memory-efficient quantile filter for data in three and higher dimensions,
ICIP14(2928-2932)
IEEE DOI 1502
Algorithm design and analysis BibRef

Busse, L.[Ludwig], Chehreghani, M.H.[Morteza Haghir], Buhmann, J.M.[Joachim M.],
Approximate Sorting,
GCPR13(142-152).
Springer DOI 1311
BibRef

Yagnik, J.[Jay], Strelow, D.[Dennis], Ross, D.A.[David A.], Lin, R.S.[Ruei-Sung],
The power of comparative reasoning,
ICCV11(2431-2438).
IEEE DOI 1201
BibRef

Dong, S.N.[Sheng-Nan], Wang, X.T.[Xiao-Tao], Wang, X.B.[Xing-Bo],
A Novel High-Speed Parallel Scheme for Data Sorting Algorithm Based on FPGA,
CISP09(1-4).
IEEE DOI 0910
BibRef

Ciuc, M.[Mihai], Vrabie, V.[Valeriu], Herbin, M.[Michel], Vertan, C.[Constantin], Vautrot, P.[Philippe],
Adaptive-neighborhood best mean rank vector filter for impulsive noise removal,
ICIP08(813-816).
IEEE DOI 0810
BibRef

Chanussot, J.,
Order Filter with Progressively Decimated Filtering Window: Application to Colour Image Enhancement,
ICIP04(I: 255-258).
IEEE DOI 0505
BibRef

van Vliet, L.J.,
Robust local max-min filters by normalized power-weighted filtering,
ICPR04(I: 696-699).
IEEE DOI 0409
BibRef

Kowalski, J.,
Weighted order statistic image filter chip based on cellular neural network architecture,
ICIP03(II: 575-578).
IEEE DOI 0312
BibRef

Kowalski, J., Kacprzak, T.,
Cellular Neural Network Based Weighted Median Filter for Real Time Image Processing,
ICIP01(I: 545-548).
IEEE DOI 0108
BibRef

Hirata, N.S.T.,
Order statistic filters: minimal collection of minimum weight vectors,
ICIP03(I: 897-900).
IEEE DOI 0312
BibRef

van de Weijer, J., Gevers, T.,
Color Mode Filtering,
ICIP01(I: 125-128).
IEEE DOI 0108
BibRef

van de Weijer, J., van den Boomgaard, R.,
Local Mode Filtering,
CVPR01(II:428-433).
IEEE DOI 0110
BibRef

Poon, S., Ward, R.,
A Simple and Effective Filter Based on the Rank Difference,
ICIP00(Vol I: 900-903).
IEEE DOI 0008
BibRef

Moore, M.S., Mitra, S.K.,
Statistical Threshold Design for the Two-state Signal-dependent Rank Order Mean Filter,
ICIP00(Vol I: 904-907).
IEEE DOI
PDF File. 0008
BibRef

Bernacchia, G.[Giuseppe], Khriji, L.[Lazhar], Gabbouj, M.[Moncef], Sicuranza, G.[Giovanni],
Programmable hardware implementation for the median-rational hybrid filters,
ICIP99(IV:182-186).
IEEE DOI BibRef 9900

Khriji, L., Gabbouj, M.,
Median-rational hybrid filters,
ICIP98(II: 853-857).
IEEE DOI 9810
BibRef

Khriji, L.[Lazhar], Bernacchia, G.[Giuseppe], Gabbouj, M.[Moncef], Sicuranza, G.[Giovanni],
A Dedicated Hardware System for a Class of Nonlinear Order Statistics Rational Hybrid Filters with Applications to Image Processing,
ICIP99(II:419-423).
IEEE DOI
See also Robust B-Spline Image Modeling with Application to Image Processing. BibRef 9900

Chen, R.C.[Rong-Chung], Yu, P.T.[Pao-Ta],
On the Optimal Design of Rational Rank Selection Filters for Image Restoration,
ICIP96(I: 407-410).
IEEE DOI BibRef 9600

Urabe, H., Ogawa, K.,
Introduction of ordered subsets algorithm to maximum a posteriori expectation maximization method,
ICIP98(III: 394-398).
IEEE DOI 9810
BibRef

Pi, Y.M.[Yi-Ming], Huang, S.J.[Shun-Ji],
Design of multistage weighted order statistic filters by a neural network,
ICIP95(I: 346-349).
IEEE DOI 9510
BibRef

Oten, R., de Figueiredo, R.J.P.,
A robust adaptive scaled function weighted order (SFWO) filter for nonlinear image restoration,
ICIP95(II: 125-128).
IEEE DOI 9510
BibRef

Ropert, M., Pele, D.,
Synthesis of adaptive weighted order statistic filters with gradient algorithms and application to image processing,
ICIP94(II: 512-516).
IEEE DOI 9411
BibRef

Narayanan, P.J., Davis, L.S.[Larry S.],
Rank order filtering on SIMD machines,
ICPR92(IV:75-78).
IEEE DOI 9208
BibRef

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Smoothing Techniques, Adaptive Smoothing .