4.3.2.1 Morphological Operator Decomposition, Implementation

Chapter Contents (Back)
Morphology, Implementations.

Zhuang, X.H.[Xin-Hua], Haralick, R.M.[Robert M.],
Morphological Structuring Element Decomposition,
CVGIP(35), No. 3, September 1986, pp. 370-382.
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Richardson, C.H., and Schafer, R.W.,
A Lower Bound for Structuring Element Decompositions,
PAMI(13), No. 4, April 1991, pp. 365-369.
IEEE DOI BibRef 9104
And:
Symbolic Manipulation and Analysis of Morphological Expressions,
ICASSP90(2173-2176). BibRef

Kanungo, T., Haralick, R.M.,
Vector-Space Solution for a Morphological Shape-Decomposition Problem,
JMIV(2), 1992, pp. 51-82. BibRef 9200
Morphological Decomposition of Restricted Domains: A Vector Space Solution,
CVPR92(627-629).
IEEE DOI BibRef

Camps, O.I., Kanungo, T., Haralick, R.M.,
Gray-scale structuring element decomposition,
IP(5), No. 1, January 1996, pp. 111-120.
IEEE DOI 0402
BibRef
Earlier: A1, A3, A2: ICPR92(III:260-263).
IEEE DOI 9208
BibRef

Li, D.,
Recursive Operations in Image Algebra,
JMIV(1), 1992, pp. 23-42. BibRef 9200

Li, D.,
Morphological Template Decomposition with Max-Polynomials,
JMIV(1), 1992, pp. 215-221. BibRef 9200

Yang, J.Y., Chen, C.C.,
Decomposition of Additively Separable Structuring Elements with Applications,
PR(26), No. 6, June 1993, pp. 867-875.
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Zhuang, X.,
Decomposition of Morphological Structuring Elements,
JMIV(4), 1994, pp. 5-18. BibRef 9400
And:
Morphological structuring function decomposition,
CVPR92(566-571).
IEEE DOI 0403
BibRef

Shih, F.Y.C.[Frank Yeong Chyang], Mitchell, O.R.[Owen Robert],
Threshold Decomposition of Gray-Scale Morphology into Binary Morphology,
PAMI(11), No. 1, January 1989, pp. 31-42.
IEEE DOI See also Rapid Euclidean Distance Transform Using Grayscale Morphology Decomposition. BibRef 8901

Shih, F.Y.C.[Frank Yeong Chyang], Mitchell, O.R.[Owen Robert],
Decomposition of gray-scale morphological structuring elements,
PR(24), No. 3, 1991, pp. 195-203.
WWW Link. 0401
BibRef

Pu, C.C., Shih, F.Y.C.,
Threshold Decomposition of Gray-Scale Soft Morphology into Binary Soft Morphology,
GMIP(57), No. 6, November 1995, pp. 522-526. BibRef 9511
Earlier: A2, A1:
Threshold decomposition of soft morphological filters,
CVPR93(672-673).
IEEE DOI 0403
BibRef

Shih, F.Y.C., Puttagunta, P.[Padmaja],
Recursive soft morphological filters,
IP(4), No. 7, July 1995, pp. 1027-1032.
IEEE DOI 0402
BibRef

Shih, F.Y.C.[Frank Y.C.], Wu, Y.T.[Yi-Ta],
Decomposition of arbitrary gray-scale morphological structuring elements,
PR(38), No. 12, December 2005, pp. 2323-2332.
WWW Link. 0510
See also Enhancement of image watermark retrieval based on genetic algorithms. BibRef

Shih, F.Y.C., Wu, H.,
Decomposition of Geometric-Shaped Structuring Elements Using Morphological Transformations on Binary Images,
PR(25), No. 10, October 1992, pp. 1097-1106.
WWW Link. BibRef 9210

Shih, F.Y.C., Pu, C.C.,
Morphological Shape Description Using Geometric Spectrum on Multidimensional Binary Images,
PR(25), No. 9, September 1992, pp. 921-927.
WWW Link. BibRef 9209

Park, H.[Hochong], Chin, R.T.,
Optimal decomposition of convex morphological structuring elements for 4-connected parallel array processors,
PAMI(16), No. 3, March 1994, pp. 304-313.
IEEE DOI 0401
BibRef

Park, H.C., Chin, R.T.,
Decomposition of Arbitrarily Shaped Morphological Structuring Elements,
PAMI(17), No. 1, January 1995, pp. 2-15.
IEEE DOI See also Note on Park and Chin's Algorithm, A. BibRef 9501

Shih, F.Y.C., King, C.T.[Chung Ta], Pu, C.C.,
Pipeline architectures for recursive morphological operations,
IP(4), No. 1, January 1995, pp. 11-18.
IEEE DOI 0402
BibRef

Lucke, L., Chakrabarti, C.,
A digit-serial architecture for gray-scale morphological filtering,
IP(4), No. 3, March 1995, pp. 387-391.
IEEE DOI 0402
BibRef

Chen, S.[Su], Haralick, R.M.,
Recursive erosion, dilation, opening, and closing transforms,
IP(4), No. 3, March 1995, pp. 335-345.
IEEE DOI 0402
BibRef

Haralick, R.M., Chen, S., Kanungo, T.,
Recursive opening transform,
CVPR92(560-565).
IEEE DOI 0403
BibRef

Morales, A., Acharya, R., Ko, S.J.[Sung-Jea],
Morphological pyramids with alternating sequential filters,
IP(4), No. 7, July 1995, pp. 965-977.
IEEE DOI 0402
BibRef

Morales, A., Acharya, R.,
Nonlinear multiscale filtering using mathematical morphology,
CVPR92(572-578).
IEEE DOI 0403
BibRef

Jin, X.C., Ong, S.H., Jayasooriah,
A domain operator for binary morphological processing,
IP(4), No. 7, July 1995, pp. 1042-1046.
IEEE DOI 0402
BibRef

Sidiropoulos, N.D., Baras, J.S., Berenstein, C.A.,
Further results on MAP optimality and strong consistency of certain classes of morphological filters,
IP(5), No. 5, May 1996, pp. 762-764.
IEEE DOI 0402
BibRef
Earlier:
On morphological openings and closings of signals in shaped noise,
ICIP95(I: 518-521).
IEEE DOI 9510
BibRef

Singh, B., Siddiqi, M.U.,
A Simplified Algorithm for Approximate Separable Decomposition of Morphological Templates,
PR(29), No. 9, September 1996, pp. 1519-1522.
WWW Link. Template Decomposition. Separable Templates. Structuring Elements. BibRef 9609
And:
On MAP optimality of gray-scale morphological filters,
ICIP96(III: 29-32).
IEEE DOI 9610
BibRef
And:
Statistical optimization of gray-scale morphological filters,
ICIP96(III: 33-36).
IEEE DOI 9610
BibRef

Ghosh, P.K.,
The Indecomposability Problem in Binary Morphology: An Algorithmic Approach,
JMIV(6), No. 2-3, June 1996, pp. 169-198. 9608
BibRef

Ghosh, P.K., Haralick, R.M.,
Mathematical Morphological Operations of Boundary-Represented Geometric Objects,
JMIV(6), No. 2-3, June 1996, pp. 199-222. 9608
BibRef

Sussner, P., Ritter, G.X.,
Decomposition of Gray-Scale Morphological Templates Using The Rank Method,
PAMI(19), No. 6, June 1997, pp. 649-658.
IEEE DOI 9708
BibRef

Sussner, P., Ritter, G.X.,
Rank-Based Decompositions of Morphological Templates,
IP(9), No. 8, August 2000, pp. 1420-1430.
IEEE DOI 0008
BibRef

Vanrell, M., Vitria, J.,
Optimal 3x3 Decomposable Disks for Morphological Transformations,
IVC(15), No. 11, November 1997, pp. 845-854.
WWW Link. 9712
BibRef
Earlier:
3X3 decomposition of circular structuring elements,
ICIP96(III: 5-8).
IEEE DOI 9610
BibRef

Anelli, G.[Giovanni], Broggi, A.[Alberto], Destri, G.[Giulio],
Decomposition of Arbitrarily Shaped Binary Morphological Structuring Elements Using Genetic Algorithms,
PAMI(20), No. 2, February 1998, pp. 217-224.
IEEE DOI 9803
BibRef
Earlier:
Experiments on the decomposition of arbitrarily shaped binary morphological structuring elements,
CIAP97(I: 543-550).
Springer DOI 9709
BibRef

Broggi, A., Conte, G., Lavagno, L., Gregoretti, F., Sansoe, C., Burzio, G., Reyneri, L.M.,
PAPRICA-3: a real-time morphological image processor,
ICIP94(III: 654-658).
IEEE DOI 9411
BibRef

Hashimoto, R.F.[Ronaldo Fumio], Barrera, J.[Junior], Ferreira, C.E.[Carlos Eduardo],
A Combinatorial Optimization Technique for the Sequential Decomposition of Erosions and Dilations,
JMIV(13), No. 1, August 2000, pp. 17-33.
DOI Link 0006
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Castro, J.E.S.[Joel Edu Sánchez], Hashimoto, R.F.[Ronaldo Fumio], Barrera, J.[Junior],
Analytical Solutions for the Minkowski Addition Equation,
ISMM13(61-72).
Springer DOI 1305
BibRef

Hashimoto, R.F.[Ronaldo Fumio], Barrera, J.[Junior],
From the Sup-Decomposition to Sequential Decompositions,
JMIV(15), No. 3, November 2001, pp. 197-216.
DOI Link 0111
BibRef

Boutalis, Y.S., Tsirikolias, K., Metrtzios, B.G., Andreadis, I.T.,
Implementation of morphological filters using coordinate logic operations,
PR(35), No. 1, January 2002, pp. 187-198.
WWW Link. 0111
BibRef

Gatos, B.[Basilios], Perantonis, S.J.[Stavros J.], Papamarkos, N.[Nikos], Andreadis, I.[Ioannis],
Fast Implementation Of Morphological Operations Using Binary Image Block Decomposition,
IJIG(4), No. 2, April 2004, pp. 183-202. 0404
BibRef

Engbers, E.A., van den Boomgaard, R., Smeulders, A.W.M.,
Decomposition of Separable Concave Structuring Functions,
JMIV(15), No. 3, November 2001, pp. 181-195.
DOI Link 0111
BibRef

van den Boomgaard, R., Smeulders, A.W.M.,
The morphological structure of images,
ICPR92(III:268-271).
IEEE DOI 9208
BibRef

Hanbury, A.G., Serra, J.,
Morphological operators on the unit circle,
IP(10), No. 12, December 2001, pp. 1842-1850.
IEEE DOI 0201
BibRef

Hanbury, A.G.[Allan G.], Serra, J.[Jean],
Colour Image Analysis in 3D-Polar Coordinates,
DAGM03(124-131).
Springer DOI 0310
BibRef
Earlier:
Mathematical Morphology in the HLS Colour Space,
BMVC01(Poster Session 2. and Demonstrations).
HTML Version. Ecole des Mines de Paris 0110
BibRef

Hanbury, A.G.,
The morphological top-hat operator generalised to multi-channel images,
ICPR04(I: 672-675).
IEEE DOI 0409
BibRef

Hanbury, A.G.[Allan G.],
Morphological Distinguished Regions,
CIARP07(202-211).
Springer DOI 0711
BibRef

Soille, P.[Pierre],
On morphological operators based on rank filters,
PR(35), No. 2, February 2002, pp. 527-535.
WWW Link. 0201
BibRef

Soille, P.[Pierre], Talbot, H.[Hugues],
Directional Morphological Filtering,
PAMI(23), No. 11, November 2001, pp. 1313-1329.
IEEE DOI 0112
How to efficiently implement them. BibRef

Hashimoto, R.F.[Ronaldo Fumio], Barrera, J.[Junior],
A Note on Park and Chin's Algorithm,
PAMI(24), No. 1, January 2002, pp. 139-144.
IEEE DOI 0201
See also Decomposition of Arbitrarily Shaped Morphological Structuring Elements. BibRef

Meijster, A.[Arnold], Wilkinson, M.H.F.[Michael H.F.],
A Comparison of Algorithms for Connected Set Openings and Closings,
PAMI(24), No. 4, April 2002, pp. 484-494.
IEEE DOI 0204
BibRef
Earlier:
Fast Computation of Morphological Area Pattern Spectra,
ICIP01(III: 668-671).
IEEE DOI 0108
Implementation of operators. BibRef

Wilkinson, M.H.F.[Michael H.F.],
Connected filtering by reconstruction: Basis and new advances,
ICIP08(2180-2183).
IEEE DOI 0810
BibRef

Gil, J.Y.[Joseph Yossi], Kimmel, R.[Ron],
Efficient Dilation, Erosion, Opening, and Closing Algorithms,
PAMI(24), No. 12, December 2002, pp. 1606-1617.
IEEE Abstract. 0212
See also Running Max/Min Filters Using 1+o(1) Comparisons per Sample. BibRef

Sussner, P.[Peter],
Generalizing Operations of Binary Autoassociative Morphological Memories Using Fuzzy Set Theory,
JMIV(19), No. 2, September 2003, pp. 81-93.
DOI Link 0308
BibRef

Sussner, P.[Peter], Valle, M.E.[Marcos Eduardo],
Classification of Fuzzy Mathematical Morphologies Based on Concepts of Inclusion Measure and Duality,
JMIV(32), No. 2, October 2008, pp. xx-yy.
Springer DOI 0804
BibRef

Valle, M.E.[Marcos Eduardo], Vicente, D.M.G.[Daniela Maria Grande],
Sparsely Connected Autoassociative Lattice Memories with an Application for the Reconstruction of Color Images,
JMIV(44), No. 3, November 2012, pp. 195-222.
WWW Link. 1209
BibRef

Valle, M.E.[Marcos Eduardo], Sussner, P.[Peter],
Quantale-based autoassociative memories with an application to the storage of color images,
PRL(34), No. 14, 2013, pp. 1589-1601.
Elsevier DOI 1308
Lattice computing BibRef

Jonker, P.P.[Pieter P.],
Morphological operations in recursive neighbourhoods,
PRL(25), No. 5, 5 April 2004, pp. 527-541.
WWW Link. 0403
BibRef

Herskovits, E.H., Peng, H., Davatzikos, C.,
A Bayesian Morphometry Algorithm,
MedImg(23), No. 6, June 2004, pp. 723-737.
IEEE Abstract. 0406
BibRef

Chen, R., Herskovits, E.H.,
Graphical-Model-Based Morphometric Analysis,
MedImg(24), No. 10, October 2005, pp. 1237-1248.
IEEE DOI 0510
BibRef

Heijmans, H.J.A.M.[Henk J.A.M.], Buckley, M.[Michael], Talbot, H.[Hugues],
Path Openings and Closings,
JMIV(22), No. 2-3, May 2005, pp. 107-119.
Springer DOI 0505
BibRef
Earlier:
Path-based morphological openings,
ICIP04(V: 3085-3088).
IEEE DOI 0505
BibRef

Shih, F.Y.C.[Frank Y.C.], Wu, Y.T.[Yi-Ta],
Decomposition of binary morphological structuring elements based on genetic algorithms,
CVIU(99), No. 2, August 2005, pp. 291-302.
WWW Link. 0506
BibRef

Chien, S.Y., Ma, S.Y., Chen, L.G.,
Partial-Result-Reuse Architecture and Its Design Technique for Morphological Operations With Flat Structuring Elements,
CirSysVideo(15), No. 9, September 2005, pp. 1156-1169.
IEEE DOI 0509
BibRef

Burgeth, B.[Bernhard], Weickert, J.[Joachim],
An Explanation for the Logarithmic Connection between Linear and Morphological System Theory,
IJCV(64), No. 2-3, September 2005, pp. 157-169.
Springer DOI 0510
BibRef
Earlier:
An Explanation for the Logarithmic Connection between Linear and Morphological Systems,
ScaleSpace03(325-339).
Springer DOI 0310
BibRef

Luengo Hendriks, C.L., van Vliet, L.J.,
Using Line Segments as Structuring Elements for Sampling-Invariant Measurements,
PAMI(27), No. 11, November 2005, pp. 1826-1831.
IEEE DOI 0510
BibRef
Earlier:
Discrete Morphology with Line Structuring Elements,
CAIP03(722-729).
Springer DOI 0311
In order to get higher resolution structuring elements. BibRef

Luengo Hendriks, C.L.[Cris L.],
Constrained and Dimensionality-Independent Path Openings,
IP(19), No. 6, June 2010, pp. 1587-1595.
IEEE DOI 1006
Morphology with line segments as structuring elements. BibRef

Luengo Hendriks, C.L.[Cris L.], van Vliet, L.J.[Lucas J.],
Basic Morphological Operations, Band-Limited Images and Sampling,
ScaleSpace03(313-324).
Springer DOI 0310
BibRef

Luengo Hendriks, C.L.[Cris L.], van Vliet, L.J.[Lucas J.],
A Rotation-Invariant Morphology for Shape Analysis of Anisotropic Objects and Structures,
VF01(378 ff.).
Springer DOI 0209
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Luengo Hendriks, C.L., van Kempen, G.M.P., van Vliet, L.J.,
Improving the accuracy of isotropic granulometries,
PRL(28), No. 7, May 2007, pp. 865-872.
WWW Link. 0703
Sieve; Scale-space; Mathematical morphology; Image analysis; Size distribution BibRef

Asplund, T., Luengo Hendriks, C.L.,
A Faster, Unbiased Path Opening by Upper Skeletonization and Weighted Adjacency Graphs,
IP(25), No. 12, December 2016, pp. 5589-5600.
IEEE DOI 1612
graph theory BibRef

Yang, H.T.[Hsin-Tai], Lee, S.J.[Shie-Jue],
Decomposition of morphological structuring elements with integer linear programming,
VISP(152), No. 2, April 2005, pp. 148-154.
DOI Link 0510
BibRef
Earlier:
Optimal decomposition of morphological structuring elements,
ICIP96(III: 1-4).
IEEE DOI 9610
BibRef

Darbon, J.[Jérôme], Sigelle, M.[Marc],
Image Restoration with Discrete Constrained Total Variation Part I: Fast and Exact Optimization,
JMIV(26), No. 3, December 2006, pp. 261-276.
Springer DOI 0701
BibRef
Earlier:
A Vectorial Self-dual Morphological Filter Based on Total Variation Minimization,
ISVC05(388-395).
Springer DOI 0512
BibRef
And:
A Fast and Exact Algorithm for Total Variation Minimization,
IbPRIA05(I:351).
Springer DOI 0509
BibRef

Darbon, J.[Jérôme], Sigelle, M.[Marc],
Image Restoration with Discrete Constrained Total Variation Part II: Levelable Functions, Convex Priors and Non-Convex Cases,
JMIV(26), No. 3, December 2006, pp. 277-291.
Springer DOI 0701
BibRef
Earlier:
Exact Optimization of Discrete Constrained Total Variation Minimization Problems,
IWCIA04(548-557).
Springer DOI 0505
BibRef

Darbon, J.[Jérôme],
Global Optimization for First Order Markov Random Fields with Submodular Priors,
IWCIA08(xx-yy).
Springer DOI 0804
BibRef

Darbon, J.[Jérôme],
A Note on the Discrete Binary Mumford-Shah Model,
MIRAGE07(283-294).
Springer DOI 0703
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Shabou, A.[Aymen], Darbon, J.[Jerome], Tupin, F.[Florence],
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IVC(31), No. 1, January 2013, pp. 14-30.
Elsevier DOI 1302
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Earlier: A1, A3, A2:
A graph-cut based algorithm for approximate MRF optimization,
ICIP09(2413-2416).
IEEE DOI 0911
Markov random fields; Graph-cut; Approximate optimization; Image restoration; Multichannel InSAR phase unwrapping BibRef

Talbot, H.[Hugues], Appleton, B.[Ben],
Efficient complete and incomplete path openings and closings,
IVC(25), No. 4, April 2007, pp. 416-425.
WWW Link. 0702
Algebraic morphological operators; Attributes; Complexity BibRef

Beucher, S.[Serge],
Numerical residues,
IVC(25), No. 4, April 2007, pp. 405-415.
WWW Link. 0702
Image analysis; Mathematical morphology; Residues; Ultimate opening; Quasi-distance; Image segmentation; Hierarchy BibRef

Strauss, O.[Olivier], Comby, F.[Frederic],
Variable structuring element based fuzzy morphological operations for single viewpoint omnidirectional images,
PR(40), No. 12, December 2007, pp. 3578-3596.
WWW Link. 0709
Omnidirectional images; Single viewpoint; Mathematical morphology; Choquet and Sugeno fuzzy integrals; Standardized fuzzy partition; Sampling; Variable structuring element; Filtering BibRef

Kim, W.J.[Wook-Joong], Kim, S.D.[Seong-Dae], Radha, H.[Hyder],
3D binary morphological operations using run-length representation,
SP:IC(23), No. 6, July 2008, pp. 442-450.
WWW Link. 0806
Dilation; Erosion; 3D morphological filter BibRef

Hedberg, H., Dokladal, P., Owall, V.,
Binary Morphology With Spatially Variant Structuring Elements: Algorithm and Architecture,
IP(18), No. 3, March 2009, pp. 562-572.
IEEE DOI 0903
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Gao, H., Tham, J.Y., Xue, P., Lin, W.,
Complexity analysis of morphological area openings and closings with set union,
IET-IPR(2), No. 4, August 2008, pp. 231-238.
DOI Link 0905
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Ouzounis, G.K.[Georgios K.], Wilkinson, M.H.F.[Michael H.F.],
Partition-induced connections and operators for pattern analysis,
PR(43), No. 10, October 2010, pp. 3193-3207.
Elsevier DOI 1007
Image analysis; Mathematical morphology; Connected filters; Connectivity classes; Diatoms BibRef

Ouzounis, G.K., Gueguen, L.,
Interactive collection of training samples from the Max-Tree structure,
ICIP11(1449-1452).
IEEE DOI 1201
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Barat, C.[Cecile], Ducottet, C.[Christophe], Jourlin, M.[Michel],
Virtual double-sided image probing: A unifying framework for non-linear grayscale pattern matching,
PR(43), No. 10, October 2010, pp. 3433-3447.
Elsevier DOI 1007
Grayscale pattern matching; Virtual probing; Topology; Mathematical morphology; Compound structuring element BibRef

Jourlin, M., Couka, E., Abdallah, B., Corvo, J., Breugnot, J.,
Asplünds metric defined in the Logarithmic Image Processing (LIP) framework: A new way to perform double-sided image probing for non-linear grayscale pattern matching,
PR(47), No. 9, 2014, pp. 2908-2924.
Elsevier DOI 1406
Grayscale pattern matching BibRef

Barat, C., Ducollet, C., Jourlin, M.,
Pattern matching using morphological probing,
ICIP03(I: 369-372).
IEEE DOI 0312
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Kiselman, C.O.[Christer O.],
Inverses and quotients of mappings between ordered sets,
IVC(28), No. 10, October 2010, pp. 1429-1442.
Elsevier DOI 1007
Preordered set; Complete lattice; Generalized inverse of a mapping; Division of mappings; Epigraph; Hypograph; Galois connection; Residuated mapping; Adjunction; Dilation; Erosion; Ethmomorphism; Morphological filter; Cleistomorphism; Closure operator; Anoiktomorphism; Kernel operator BibRef

Vichik, A.[Alla], Keshet, R.[Renato], Malah, D.[David],
A general framework for tree-based morphology and its applications to self-dual filtering,
IVC(28), No. 10, October 2010, pp. 1443-1451.
Elsevier DOI 1007
Complete inf-semilattices; Self-dual operators; Tree representation of images BibRef

Welk, M.[Martin], Breuß, M.[Michael], Vogel, O.[Oliver],
Morphological Amoebas Are Self-snakes,
JMIV(39), No. 2, February 2011, pp. 87-99.
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Earlier:
Differential Equations for Morphological Amoebas,
ISMM09(104-114).
Springer DOI 0908
See also Adaptive Continuous-Scale Morphology for Matrix Fields. BibRef

Welk, M.[Martin],
Analysis of Amoeba Active Contours,
JMIV(52), No. 1, May 2015, pp. 37-54.
WWW Link. 1505
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Earlier:
Amoeba Active Contours,
SSVM11(374-385).
Springer DOI 1201
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Welk, M.[Martin],
Multivariate Median Filters and Partial Differential Equations,
JMIV(56), No. 2, October 2016, pp. 320-351.
WWW Link. 1609
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And:
PDE for Bivariate Amoeba Median Filtering,
ISMM17(271-283).
Springer DOI 1706
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Earlier:
Partial Differential Equations of Bivariate Median Filters,
SSVM15(53-65).
Springer DOI 1506
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Hernández, J.[Jorge], Marcotegui, B.[Beatriz],
Shape ultimate attribute opening,
IVC(29), No. 8, July 2011, pp. 533-545.
Elsevier DOI 1108
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Earlier:
Ultimate Attribute Opening Segmentation with Shape Information,
ISMM09(205-214).
Springer DOI 0908
Ultimate opening; Attribute opening; Mathematical morphology; Shape information; Image segmentation; Facade analysis; Scene-text detection; Cell segmentation BibRef

Marcotegui, B.[Beatriz], Serna, A.[Andrés], Hernández, J.[Jorge],
Ultimate Opening Combined with Area Stability Applied to Urban Scenes,
ISMM17(261-268).
Springer DOI 1706
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Fabrizio, J.[Jonathan], Marcotegui, B.[Beatriz],
Fast Implementation of the Ultimate Opening,
ISMM09(272-281).
Springer DOI 0908
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Serna, A.[Andrés], Marcotegui, B.[Beatriz],
Attribute Controlled Reconstruction and Adaptive Mathematical Morphology,
ISMM13(207-218).
Springer DOI 1305
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Angulo, J.[Jesús],
Hypercomplex Mathematical Morphology,
JMIV(41), No. 1-2, September 2011, pp. 86-108.
WWW Link. 1108
See also Morphological colour operators in totally ordered lattices based on distances: Application to image filtering, enhancement and analysis. BibRef

Angulo, J.[Jesús],
Morphological Scale-Space Operators for Images Supported on Point Clouds,
SSVM15(78-89).
Springer DOI 1506
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Angulo, J.[Jesús],
(max,min)-convolution and Mathematical Morphology,
ISMM15(485-496).
Springer DOI 1506
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Velasco-Forero, S.[Santiago], Angulo, J.[Jesús],
Supervised Ordering in I!R^p: Application to Morphological Processing of Hyperspectral Images,
IP(20), No. 11, November 2011, pp. 3301-3308.
IEEE DOI 1110
BibRef
Earlier:
Hit-or-Miss Transform in Multivariate Images,
ACIVS10(I: 452-463).
Springer DOI 1012
BibRef
And:
Morphological processing of hyperspectral images using kriging-based supervised ordering,
ICIP10(1409-1412).
IEEE DOI 1009
BibRef
And: A2, A1:
Structurally adaptive mathematical morphology on nonlinear scale-space representations,
ICIP10(121-124).
IEEE DOI 1009
BibRef

Angulo, J.,
Morphological Bilateral Filtering,
SIIMS(6), No. 3, 2013, pp. 1790-1822.
DOI Link 1310
BibRef

Angulo, J.[Jesús], Velasco-Forero, S.[Santiago],
Morphological Semigroups and Scale-Spaces on Ultrametric Spaces,
ISMM17(28-39).
Springer DOI 1706
BibRef
And:
Stochastic Morphological Filtering and Bellman-Maslov Chains,
ISMM13(171-182).
Springer DOI 1305
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Angulo, J.[Jesús], Velasco-Forero, S.[Santiago],
Riemannian mathematical morphology,
PRL(47), No. 1, 2014, pp. 93-101.
Elsevier DOI 1408
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Earlier:
Mathematical Morphology for Real-Valued Images on Riemannian Manifolds,
ISMM13(279-291).
Springer DOI 1305
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And: A2, A1:
On Nonlocal Mathematical Morphology,
ISMM13(219-230).
Springer DOI 1305
Mathematical morphology. Colour BibRef

Velasco-Forero, S.[Santiago], Angulo, J.[Jesús], Soille, P.[Pierre],
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Inner-Cheeger Opening and Applications,
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IEEE DOI 1204
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IEEE DOI 1704
Lasso problem seeks a sparse linear combination of the columns of a dictionary to best match a given target vector. BibRef

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Ordered Hypothesis Machines,
JMIV(43), No. 2, June 2012, pp. 121-134.
WWW Link. 1204
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Earlier: A3, A1, A2:
Stack Filter Classifiers,
ISMM09(282-294).
Springer DOI 0908
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Günther, B.[Bernd],
On the Compatibility of Granulometry with Wavelet Analysis,
JMIV(45), No. 1, January 2013, pp. 69-75.
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JMIV(46), No. 1, May 2013, pp. 29-43.
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Improved Bounds for Subband-Adaptive Iterative Shrinkage/Thresholding Algorithms,
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IEEE DOI 1303
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Benalcázar, M.E.[Marco E.], Brun, M.[Marcel], Ballarin, V.L.[Virginia L.],
Artificial neural networks applied to statistical design of window operators,
PRL(34), No. 9, July 2013, pp. 970-979.
Elsevier DOI 1305
Image processing; W-operators; Mathematical morphology; Artificial neural networks BibRef

Landström, A.[Anders], Thurley, M.J.[Matthew J.],
Adaptive morphology using tensor-based elliptical structuring elements,
PRL(34), No. 12, 1 September 2013, pp. 1416-1422.
Elsevier DOI 1306
Mathematical morphology; Local structure tensor; Adaptive morphology; Spatially-variant morphology BibRef

Landström, A.[Anders], Thurley, M.J.[Matthew J.], Jonsson, H.,
Adaptive Morphological Filtering of Incomplete Data,
DICTA13(1-7)
IEEE DOI 1402
cracks BibRef

Landström, A.[Anders],
An Approach to Adaptive Quadratic Structuring Functions Based on the Local Structure Tensor,
ISMM15(729-740).
Springer DOI 1506
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Xu, J., Yin, J.,
Kernel least absolute shrinkage and selection operator regression classifier for pattern classification,
IET-CV(7), No. 1, 2013, pp. 48-55.
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Parsimonious Path Openings and Closings,
IP(23), No. 4, April 2014, pp. 1543-1555.
IEEE DOI 1404
filtering theory BibRef

Dokládal, P.[Petr],
Statistical Threshold Selection for Path Openings to Detect Cracks,
ISMM17(369-380).
Springer DOI 1706
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Bartovský, J.[Jan], Dokládal, P.[Petr], Dokládalová, E.[Eva], Georgiev, V.[Vjaceslav],
Parallel implementation of sequential morphological filters,
RealTimeIP(9), No. 2, June 2014, pp. 315-327.
Springer DOI 1407
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Bartovský, J.[Jan], Dokládal, P.[Petr], Dokládalová, E.[Eva], Bilodeau, M.[Michel], Akil, M.[Mohamed],
Real-time implementation of morphological filters with polygonal structuring elements,
RealTimeIP(10), No. 1, March 2015, pp. 175-187.
Springer DOI 1503
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Zacur, E.[Ernesto], Bossa, M.[Matias], Olmos, S.[Salvador],
Multivariate Tensor-Based Morphometry with a Right-Invariant Riemannian Distance on GL+(n),
JMIV(50), No. 1-2, September 2014, pp. 18-31.
WWW Link. 1408
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Peng, G., Hwang, W.,
Reweighted and Adaptive Morphology Separation,
SIIMS(7), No. 4, 2014, pp. 2078-2104.
DOI Link 1412
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Hu, X.[Xiyuan], Peng, S.[Silong], Hwang, W.L.[Wen-Liang],
Adaptive Integral Operators for Signal Separation,
SPLetters(22), No. 9, September 2015, pp. 1383-1387.
IEEE DOI 1503
eigenvalues and eigenfunctions BibRef

Karas, P.[Pavel], Morard, V.[Vincent], Bartovský, J.[Jan], Grandpierre, T.[Thierry], Dokládalová, E.[Eva], Matula, P.[Petr], Dokládal, P.[Petr],
GPU implementation of linear morphological openings with arbitrary angle,
RealTimeIP(10), No. 1, March 2015, pp. 27-41.
Springer DOI 1503
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Perret, B.[Benjamin], Cousty, J.[Jean], Tankyevych, O.[Olena], Talbot, H.[Hugues], Passat, N.[Nicolas],
Directed Connected Operators: Asymmetric Hierarchies for Image Filtering and Segmentation,
PAMI(37), No. 6, June 2015, pp. 1162-1176.
IEEE DOI 1506
Filtering BibRef

Tankyevych, O.[Olena], Talbot, H.[Hugues], Passat, N.[Nicolas],
Semi-connections and Hierarchies,
ISMM13(159-170).
Springer DOI 1305
Adaptive Morphology BibRef

Tankyevych, O.[Olena], Talbot, H.[Hugues], Dokladál, P.[Petr], Passat, N.[Nicolas],
Spatially-Variant Morpho-Hessian Filter: Efficient Implementation and Application,
ISMM09(137-148).
Springer DOI 0908
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Xie, W.[Wei], Deng, T.Q.[Ting-Quan], Li, Q.A.[Qi-Ang], Ma, M.H.[Ming-Hua],
Variable Precision Fuzzy Hit-or-Miss Transformation Models to Object Identification in Grey-Scale Images,
JMIV(53), No. 1, September 2015, pp. 112-129.
Springer DOI 1505
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Mohsin, Y.Q., Ongie, G., Jacob, M.,
Iterative Shrinkage Algorithm for Patch-Smoothness Regularized Medical Image Recovery,
MedImg(34), No. 12, December 2015, pp. 2417-2428.
IEEE DOI 1601
Fourier transforms BibRef

Lézoray, O.[Olivier],
Complete lattice learning for multivariate mathematical morphology,
JVCIR(35), No. 1, 2016, pp. 220-235.
Elsevier DOI 1602
Mathematical morphology BibRef

Lézoray, O.[Olivier],
Stochastic spectral-spatial permutation ordering combination for nonlocal morphological processing,
WSSIP17(1-5)
IEEE DOI 1707
Indexes, Lattices, Morphological operations, Morphology, Stochastic processes, Transforms BibRef

Lezoray, O.[Olivier], El Moataz, A.[Abderrahim],
Nonlocal and multivariate mathematical morphology,
ICIP12(129-132).
IEEE DOI 1302
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Torres-Huitzil, C.[Cesar],
FPGA-based fast computation of gray-level morphological granulometries,
RealTimeIP(11), No. 3, March 2016, pp. 547-557.
WWW Link. 1604
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Xu, X., Li, J., Huang, X., Dalla Mura, M., Plaza, A.,
Multiple Morphological Component Analysis Based Decomposition for Remote Sensing Image Classification,
GeoRS(54), No. 5, May 2016, pp. 3083-3102.
IEEE DOI 1604
image classification BibRef

van de Gronde, J.J.[Jasper J.], Offringa, A.R.[André R.], Roerdink, J.B.T.M.[Jos B.T.M.],
Efficient and Robust Path Openings Using the Scale-Invariant Rank Operator,
JMIV(56), No. 3, November 2016, pp. 455-471.
Springer DOI 1609
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van de Gronde, J.J.[Jasper J.], Schubert, H.R.[Herman R.], Roerdink, J.B.T.M.[Jos B.T.M.],
Fast Computation of Greyscale Path Openings,
ISMM15(621-632).
Springer DOI 1506
preserve long thin objects. BibRef

El Moataz, A.[Abderrahim], Lozes, F.[François], Talbot, H.[Hugues],
Morphological PDEs on Graphs for Image Processing on Surfaces and Point Clouds,
IJGI(5), No. 11, 2016, pp. 213.
DOI Link 1612
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Youkana, I.[Imane], Cousty, J.[Jean], Saouli, R.[Rachida], Akil, M.[Mohamed],
Parallelization Strategy for Elementary Morphological Operators on Graphs: Distance-Based Algorithms and Implementation on Multicore Shared-Memory Architecture,
JMIV(59), No. 1, September 2017, pp. 136-160.
Springer DOI 1708
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Earlier:
Parallelization Strategy for Elementary Morphological Operators on Graphs,
DGCI16(311-322).
WWW Link. 1606
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Earlier: A1, A3, A2, A4:
Morphological operators on graph based on geodesic distance map,
ICCVIA15(1-6)
IEEE DOI 1603
computational complexity BibRef


Charisopoulos, V.[Vasileios], Maragos, P.[Petros],
Morphological Perceptrons: Geometry and Training Algorithms,
ISMM17(3-15).
Springer DOI 1706
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Asplund, T., Hendriks, C.L.L., Thurley, M.J., Strand, R.,
A new approach to mathematical morphology on one dimensional sampled signals,
ICPR16(3904-3909)
IEEE DOI 1705
Digital images, Electronic mail, Image analysis, Interpolation, Morphology, Pattern recognition, Standards BibRef

Abdalla, M.[Mohsen], Nagy, B.[Benedek],
Concepts of Binary Morphological Operations Dilation and Erosion on the Triangular Grid,
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Springer DOI 1704
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Asplund, T.[Teo], Hendriks, C.L.L.[Cris L. Luengo], Thurley, M.J.[Matthew J.], Strand, R.[Robin],
Mathematical Morphology on Irregularly Sampled Signals,
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Springer DOI 1704
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Mallat, K., Youssef, R.,
Adaptive morphological closing based on inertia tensor for structuring element estimation,
ISIVC16(253-258)
IEEE DOI 1704
Bones BibRef

Cree, M.J.,
Vectorised SIMD implementations of morphology algorithms,
ICVNZ15(1-6)
IEEE DOI 1701
computer vision BibRef

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Multi-scale Opening: A New Morphological Operator,
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Springer DOI 1511
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Curic, V.[Vladimir], Lefčvre, S.[Sébastien], Hendriks, C.L.L.[Cris L. Luengo],
Adaptive Hit or Miss Transform,
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Springer DOI 1506
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Kowalski, M.[Matthieu],
Thresholding RULES and iterative shrinkage/thresholding algorithm: A convergence study,
ICIP14(4151-4155)
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Sparse approximation BibRef

Perret, B.[Benjamin],
Inf-structuring Functions and Self-dual Marked Flattenings in bi-Heyting Algebra,
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Springer DOI 1305
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Curic, V.[Vladimir], Hendriks, C.L.L.[Cris L. Luengo],
Salience-Based Parabolic Structuring Functions,
ISMM13(183-194).
Springer DOI 1305
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Meyer, F.[Fernand],
Made to measure top hats,
ICPR12(3164-3167).
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Frontera-Pons, J.[Joana], Angulo, J.[Jesus],
Morphological operators for images valued on the sphere,
ICIP12(113-116).
IEEE DOI 1302
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Curic, V.[Vladimir], Luengo Hendriks, C.L.[Cris L.],
Adaptive Structuring Elements Based on Salience Information,
ICCVG12(321-328).
Springer DOI 1210
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Lorenzo-Ginori, J.V.[Juan Valentín],
A method to determine the size of the structuring element in morphological correction of non-uniform illumination,
ICIP11(1453-1456).
IEEE DOI 1201
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Nakashizuka, M.[Makoto],
Image regularization with multiple morphological gradient priors,
ICIP16(3314-3318)
IEEE DOI 1610
Hafnium BibRef

Nakashizuka, M.[Makoto], Takenaka, S.[Shinji], Iiguni, Y.[Youji],
Learning of structuring elements for morphological image model with a sparsity prior,
ICIP10(85-88).
IEEE DOI 1009
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Wang, J.G.[Jian-Gang], Gao, D.Y.[De-Yuan],
Improved Morphological TOP-HAT Filter Optimized with Genetic Algorithm,
CISP09(1-5).
IEEE DOI 0910
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Zhang, W.B.[Wen-Bin], Wang, H.J.[Hong-Jun], Shen, L.[Lu], Cai, Q.[Qun], Li, J.S.[Jun-Sheng],
Purification of Axis Trace Based on Adaptive Generalized Morphological Filter,
CISP09(1-5).
IEEE DOI 0910
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Zhang, W.B.[Wen-Bin], Wang, H.J.[Hong-Jun], Cai, Q.[Qun], Shen, L.[Lu], Li, J.S.[Jun-Sheng],
Purification of Rubbing Axis Trace by Harmonic Window Method,
CISP09(1-4).
IEEE DOI 0910
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Levillain, R.[Roland], Géraud, T.[Thierry], Najman, L.[Laurent],
Milena: Write Generic Morphological Algorithms Once, Run on Many Kinds of Images,
ISMM09(295-306).
Springer DOI 0908
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Baba-Ali, M.[Mehdi], Damiand, G.[Guillaume], Skapin, X.[Xavier], Marcheix, D.[David],
Insertion and Expansion Operations for n-Dimensional Generalized Maps,
DGCI08(xx-yy).
Springer DOI 0804
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Imiya, A.[Atsushi], Kameda, Y.[Yusuke], Ohnishi, N.[Naoya],
Decomposition and Construction of Neighbourhood Operations Using Linear Algebra,
DGCI08(xx-yy).
Springer DOI 0804
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Svalbe, I.[Imants], Normand, N.[Nicolas],
Properties of Minimal Ghosts,
DGCI11(417-428).
Springer DOI 1104
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Svalbe, I.[Imants], Chandra, S.[Shekhar],
Growth of Discrete Projection Ghosts Created by Iteration,
DGCI11(406-416).
Springer DOI 1104
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Svalbe, I.[Imants], Nazareth, N.[Nikesh], Normand, N.[Nicolas], Chandra, S.[Shekhar],
On Constructing Minimal Ghosts,
DICTA10(276-281).
IEEE DOI 1012
ghosts are signed pixels to creat image/anit-image pairs. BibRef

Chandra, S.[Shekhar], Svalbe, I.[Imants], Guédon, J.P.[Jean-Pierre],
An Exact, Non-iterative Mojette Inversion Technique Utilising Ghosts,
DGCI08(xx-yy).
Springer DOI 0804
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Welk, M.[Martin], Kim, P.[Pilwon], Olver, P.J.[Peter J.],
Numerical Invariantization for Morphological PDE Schemes,
SSVM07(508-519).
Springer DOI 0705
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de A. Araujo, R., Madeiro, F., Ferreira, T.A.E., de Sousa, R.P., Pessoa, L.F.C.,
Improved Evolutionary Hybrid Method for Designing Morphological Operators,
ICIP06(2417-2420).
IEEE DOI 0610
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Narayanan, A.[Ajay],
Fast Binary Dilation/Erosion Algorithm Using Kernel Subdivision,
ACCV06(II:335-342).
Springer DOI 0601
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Evans, A.N.,
Morphological gradient operators for colour images,
ICIP04(V: 3089-3092).
IEEE DOI 0505
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Gao, X., Ramesh, V., Boult, T.,
Statistical Characterization of Morphological Operator Sequences,
ECCV02(IV: 590 ff.).
Springer DOI 0205
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Sasportas, R., Klein, J.C.,
Morphological filters implementation based on a co-design approach,
CIAP99(154-161).
IEEE DOI 9909
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Li, C.K.[Chi-Kwong], Lam, R.[Ringo], Ip, H.[Horace],
Approaches to Decompose Flat Structuring Element for Fast Overlapping Search Morphological Algorithm,
ICPR98(Vol II: 1461-1463).
IEEE DOI 9808
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Banerji, A., Goutsias, J.,
Statistical inference for a stochastic multiresolution image decomposition scheme,
ICIP98(I: 625-629).
IEEE DOI 9810
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Heijmans, H.J.A.M.[Henk J. A. M.],
Morphological grain operators for binary images,
CAIP97(392-399).
Springer DOI 9709
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Khoudour, L., Duvieubourg, L., Meunier, B., Wan, Y.F.[Yue Feng], Deparis, J.P.,
A new fast algorithm using an adaptative structuring element applied to a counting device,
ICIP96(III: 57-60).
IEEE DOI 9610
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Gong, W.[Wei], Shi, Q.[Qinyun], Cheng, M.D.[Min-De],
Morphological filters without distorting image,
ICPR92(III:684-687).
IEEE DOI 9208
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Gong, W.[Wei],
On decomposition of structure element for mathematical morphology,
ICPR88(II: 836-838).
IEEE DOI 8811
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Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
Color Morphology, Gray Scale Morphology .


Last update:Nov 18, 2017 at 20:56:18