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Volumn 12, Issue 3-4, 2002, Pages 399-423

Modal logics based on mathematical morphology for qualitative spatial reasoning

Author keywords

Adjunction; Dilation; Erosion; Mathematical Morphology; Modal Logics; Qualitative Spatial Reasoning; Spatial Relations

Indexed keywords


EID: 10044244357     PISSN: 11663081     EISSN: 19585780     Source Type: Journal    
DOI: 10.3166/jancl.12.399-423     Document Type: Article
Times cited : (32)

References (62)
  • 2
    • 0020849266 scopus 로고
    • Maintaining knowledge about temporal intervals
    • [ALL 83]
    • [ALL 83] ALLEN J., "Maintaining Knowledge about Temporal Intervals" Comunications of the ACM, vol. 26, num. 11, 1983, p. 832-843.
    • (1983) Comunications of the ACM , vol.26 , Issue.11 , pp. 832-843
    • Allen, J.1
  • 3
    • 0000968730 scopus 로고
    • Toward a geometry of common sense: A semantics and a complete axiomatization of mereotopology
    • [ASH 95] San Mateo, CA
    • [ASH 95] ASHER N., VIEU L., "Toward a Geometry of Common Sense: A Semantics and a Complete Axiomatization of Mereotopology" IJCAI'95, San Mateo, CA, 1995, p. 846- 852.
    • (1995) IJCAI'95 , pp. 846-852
    • Asher, N.1    Vieu, L.2
  • 4
    • 0345350753 scopus 로고
    • An introduction to fuzzy mathematical morphology
    • [BAE 93] Allentown, Pennsylvania
    • [BAE 93] BAETS B. D., KERRE E., "An Introduction to Fuzzy Mathematical Morphology" NAFIPS'93, Allentown, Pennsylvania, 1993, p. 129-133.
    • (1993) NAFIPS'93 , pp. 129-133
    • Baets, B.D.1    Kerre, E.2
  • 5
    • 38449098790 scopus 로고
    • Idempotent closing and opening operations in fuzzy mathematical morphology
    • [BAE 95] College Park, MD, Sep.
    • [BAE 95] BAETS B. D., "Idempotent Closing and Opening Operations in Fuzzy Mathematical Morphology" ISUMA-NAFIPS'95, College Park, MD, Sep. 1995, p. 228-233.
    • (1995) ISUMA-NAFIPS'95 , pp. 228-233
    • Baets, B.D.1
  • 6
    • 0003612364 scopus 로고    scopus 로고
    • A hierarchy of modal logics with relative accessibility relations
    • [BAL 99]
    • [BAL 99] BALBIANI P., ORLOWSKA E., "A Hierarchy of Modal Logics with Relative Accessibility Relations" Journal of Applied Non-Classical Logics, vol. 9, 1999, p. 303-328.
    • (1999) Journal of Applied Non-Classical Logics , vol.9 , pp. 303-328
    • Balbiani, P.1    Orlowska, E.2
  • 8
    • 0001831899 scopus 로고
    • Modal logics for qualitative spatial reasoning
    • [BEN 95]
    • [BEN 95] BENNETT B., "Modal Logics for Qualitative Spatial Reasoning" Bulletin of the IGPL, vol. 4, num. 1, 1995, p. 23-45.
    • (1995) Bulletin of the IGPL , vol.4 , Issue.1 , pp. 23-45
    • Bennett, B.1
  • 9
    • 0027309759 scopus 로고
    • Constructing a fuzzy mathematical morphology. Alternative ways
    • [BLO 93] BLOCH I., MAÎTRE H., "Constructing a Fuzzy Mathematical Morphology: Alternative Ways" Second IEEE International Conference on Fuzzy Systems, FUZZ IEEE 93, San Fransisco, California, March 1993, p. 1303-1308. (Pubitemid 23684460)
    • (1993) 1993 IEEE International Conference on Fuzzy Systems , pp. 1303-1308
    • Bloch Isabelle1    Maitre Henri2
  • 10
    • 0029478178 scopus 로고
    • Fuzzy mathematical morphologies: A comparative study
    • DOI 10.1016/0031-3203(94)00312-A
    • [BLO 95] BLOCH I., MAÎTRE H., "Fuzzy Mathematical Morphologies: A Comparative Study" Pattern Recognition, vol. 28, num. 9, 1995, p. 1341-1387. (Pubitemid 26442210)
    • (1995) Pattern Recognition , vol.28 , Issue.9 , pp. 1341-1387
    • Bloch, I.1    Maitre, H.2
  • 12
    • 0032663322 scopus 로고    scopus 로고
    • Fuzzy relative position between objects in image processing: A morphological approach
    • [BLO 99a]
    • [BLO 99a] BLOCH I., "Fuzzy Relative Position between Objects in Image Processing: a Morphological Approach" IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 21, num. 7, 1999, p. 657-664.
    • (1999) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.21 , Issue.7 , pp. 657-664
    • Bloch, I.1
  • 13
    • 0002352056 scopus 로고    scopus 로고
    • Fuzzy relative position between objects in image processing: New definition and properties based on a morphological approach
    • [BLO 99b] BLOCH I., "Fuzzy Relative Position between Objects in Image Processing: New Definition and Properties based on a Morphological Approach" International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 7, num. 2, 1999, p. 99-133. (Pubitemid 129629987)
    • (1999) International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems , vol.7 , Issue.2 , pp. 99-133
    • Bloch, I.1
  • 14
    • 0032671460 scopus 로고    scopus 로고
    • On fuzzy distances and their use in image processing under imprecision
    • [BLO 99c]
    • [BLO 99c] BLOCH I., "On Fuzzy Distances and their Use in Image Processing under Imprecision" Pattern Recognition, vol. 32, num. 11, 1999, p. 1873-1895.
    • (1999) Pattern Recognition , vol.32 , Issue.11 , pp. 1873-1895
    • Bloch, I.1
  • 15
    • 0033715360 scopus 로고    scopus 로고
    • On links between mathematical morphology and rough sets
    • [BLO 00a]
    • [BLO 00a] BLOCH I., "On Links between Mathematical Morphology and Rough Sets" Pattern Recognition, vol. 33, num. 9, 2000, p. 1487-1496.
    • (2000) Pattern Recognition , vol.33 , Issue.9 , pp. 1487-1496
    • Bloch, I.1
  • 16
    • 0012908511 scopus 로고    scopus 로고
    • Spatial representation of spatial relationships knowledge
    • [BLO 00b] COHN A. G., GIUNCHIGLIA F., SELMAN B., Eds. Breckenridge, CO, 2000, Morgan Kaufmann, San Francisco, CA
    • [BLO 00b] BLOCH I., "Spatial Representation of Spatial Relationships Knowledge" COHN A. G., GIUNCHIGLIA F., SELMAN B., Eds., 7th International Conference on Principles of Knowledge Representation and Reasoning KR 2000, Breckenridge, CO, 2000, Morgan Kaufmann, San Francisco, CA, p. 247-258.
    • (2000) 7th International Conference on Principles of Knowledge Representation and Reasoning KR , pp. 247-258
    • Bloch, I.1
  • 17
    • 34248157347 scopus 로고    scopus 로고
    • Using mathematical morphology operators as modal operators for spatial reasoning
    • [BLO 00c] Berlin, Germany
    • [BLO 00c] BLOCH I., "Using Mathematical Morphology Operators as Modal Operators for Spatial Reasoning" ECAI 2000, Workshop on Spatio-Temporal Reasoning, Berlin, Germany, 2000, p. 73-79.
    • ECAI 2000, Workshop on Spatio-Temporal Reasoning , vol.2000 , pp. 73-79
    • Bloch, I.1
  • 20
    • 0033075028 scopus 로고    scopus 로고
    • A modal logic for fusing partial belief of multiple reasoners
    • [BOL 99]
    • [BOL 99] BOLDRIN L., SAFFIOTTI A., "A Modal logic for Fusing Partial Belief of Multiple Reasoners" Journal of Logic and Computation, vol. 9, num. 1, 1999, p. 81-103.
    • (1999) Journal of Logic and Computation , vol.9 , Issue.1 , pp. 81-103
    • Boldrin, L.1    Saffiotti, A.2
  • 21
  • 23
    • 0003084712 scopus 로고    scopus 로고
    • Representing and reasoning with qualitative spatial relations about regions
    • [COH 97] STOCK O., Ed.
    • [COH 97] COHN A., BENNETT B., GOODAY J., GOTTS N. M., "Representing and Reasoning with Qualitative Spatial Relations about Regions" STOCK O., Ed., Spatial and Temporal Reasoning, p. 97-134, Kluwer, 1997.
    • (1997) Spatial and Temporal Reasoning, Kluwer , pp. 97-134
    • Cohn, A.1    Bennett, B.2    Gooday, J.3    Gotts, N.M.4
  • 24
  • 25
    • 0002949428 scopus 로고    scopus 로고
    • Imagery and the description of spatial configurations
    • [DEN 96] DE VEGA ET AL. M., Ed., chapter 4, Oxford University Press, New York
    • [DEN 96] DENIS M., "Imagery and the Description of Spatial Configurations" DE VEGA ET AL. M., Ed., Models of Visuospatial Cognition, chapter 4, Oxford University Press, New York, 1996.
    • (1996) Models of Visuospatial Cognition
    • Denis, M.1
  • 28
  • 29
    • 0000843872 scopus 로고
    • Approximate spatial reasoning: Integrating qualitative and quantitative constraints
    • [DUT 91]
    • [DUT 91] DUTTA S., "Approximate Spatial Reasoning: Integrating Qualitative and Quantitative Constraints" International Journal of Approximate Reasoning, vol. 5, 1991, p. 307- 331.
    • (1991) International Journal of Approximate Reasoning , vol.5 , pp. 307-331
    • Dutta, S.1
  • 31
    • 0001292671 scopus 로고
    • The modelling of spatial relations
    • [FRE 75]
    • [FRE 75] FREEMAN J., "The Modelling of Spatial Relations" Computer Graphics and Image Processing, vol. 4, num. 2, 1975, p. 156-171.
    • (1975) Computer Graphics and Image Processing , vol.4 , Issue.2 , pp. 156-171
    • Freeman, J.1
  • 32
    • 0011520122 scopus 로고    scopus 로고
    • Continous motion in discrete space
    • [GAL 00] COHN A. G., GIUNCHIGLIA F., SELMAN B., Eds.Breckenridge, CO, 2000, Morgan Kaufmann, San Francisco, CA
    • [GAL 00] GALTON A., "Continous Motion in Discrete Space" COHN A. G., GIUNCHIGLIA F., SELMAN B., Eds., 7th International Conference on Principles of Knowledge Representation and Reasoning KR 2000, Breckenridge, CO, 2000, Morgan Kaufmann, San Francisco, CA, p. 26-37.
    • (2000) 7th International Conference on Principles of Knowledge Representation and Reasoning KR , pp. 26-37
    • Galton, A.1
  • 33
    • 0028604257 scopus 로고
    • Basic meanings of spatial relations: Computation and evaluation in 3d space
    • [GAP 94] AAAI-94, Seattle, Washington
    • [GAP 94] GAPP K. P., "Basic Meanings of Spatial Relations: Computation and Evaluation in 3D Space" 12th National Conference on Artificial Intelligence, AAAI-94, Seattle, Washington, 1994, p. 1393-1398.
    • (1994) 12th National Conference on Artificial Intelligence , pp. 1393-1398
    • Gapp, K.P.1
  • 34
    • 84898466977 scopus 로고    scopus 로고
    • Towards hybrid spatial reasoning
    • [GUE 96] MARTIN T., RALESCU A., Eds. ofLNAI, Springer
    • [GUE 96] GUESGUEN H. W., "Towards Hybrid Spatial Reasoning" MARTIN T., RALESCU A., Eds., Fuzzy Logic in Artificial Intelligence, Towards Intelligent Systems, vol. 1188 ofLNAI, p. 197-206, Springer, 1996.
    • (1996) Fuzzy Logic in Artificial Intelligence, Towards Intelligent Systems , vol.1188 , pp. 197-206
    • Guesguen, H.W.1
  • 35
    • 84949440892 scopus 로고    scopus 로고
    • Reasoning with words about geographic information
    • [GUE 98] RALESCU A., SHANAHAN J., Eds. of LNAI, Springer
    • [GUE 98] GUESGEN H. W., "Reasoning with Words about Geographic Information" RALESCU A., SHANAHAN J., Eds., Fuzzy Logic in Artificial Intelligence, vol. 1566 of LNAI, p. 133-148, Springer, 1998.
    • (1998) Fuzzy Logic in Artificial Intelligence , vol.1566 , pp. 133-148
    • Guesgen, H.W.1
  • 36
    • 0025573319 scopus 로고
    • Algebraic basis of mathematical morphology. I. Dilations and erosions
    • [HEI 90] HEIJMANS H. J. A. M., RONSE C., "The Algebraic Basis of Mathematical Morphology - Part I: Dilations and Erosions" Computer Vision, Graphics and Image Processing, vol. 50, 1990, p. 245-295. (Pubitemid 20695762)
    • (1990) Computer vision, graphics, and image processing , vol.50 , Issue.3 , pp. 245-295
    • Heijmans, H.J.A.M.1    Ronse, C.2
  • 38
  • 39
    • 38449120743 scopus 로고
    • Comparison of spatial relation definitions in computer vision
    • [KEL 95] College Park, MD, Sep.
    • [KEL 95] KELLER J. M., WANG X., "Comparison of Spatial Relation Definitions in Computer Vision" ISUMA-NAFIPS'95, College Park, MD, Sep. 1995, p. 679-684.
    • (1995) ISUMA-NAFIPS'95 , pp. 679-684
    • Keller, J.M.1    Wang, X.2
  • 40
    • 0027649350 scopus 로고
    • Quantitative analysis of properties and spatial relations of fuzzy image regions
    • [KRI 93]
    • [KRI 93] KRISHNAPURAM R., KELLER J. M., MA Y., "Quantitative Analysis of Properties and Spatial Relations of Fuzzy Image Regions" IEEE Transactions on Fuzzy Systems, vol. 1, num. 3, 1993, p. 222-233.
    • (1993) IEEE Transactions on Fuzzy Systems , vol.1 , Issue.3 , pp. 222-233
    • Krishnapuram, R.1    Keller, J.M.2    Ma, Y.3
  • 41
    • 0018216873 scopus 로고
    • Modeling spatial knowledge
    • [KUI 78] KUIPERS B., "Modeling Spatial Knowledge" Cognitive Science, vol. 2, 1978, p. 129-153. (Pubitemid 9142777)
    • (1978) Cognitive Science , vol.2 , Issue.2 , pp. 129-153
    • Kuipers, B.1
  • 42
    • 0001956852 scopus 로고
    • Navigation and mapping in large-scale space
    • [KUI 88]
    • [KUI 88] KUIPERS B. J., LEVITT T. S., "Navigation and Mapping in Large-Scale Space" AI Magazine, vol. 9, num. 2, 1988, p. 25-43.
    • (1988) AI Magazine , vol.9 , Issue.2 , pp. 25-43
    • Kuipers, B.J.1    Levitt, T.S.2
  • 43
    • 0031652230 scopus 로고    scopus 로고
    • A method of spatial reasoning based on qualitative trigonometry
    • PII S0004370297000696
    • [LIU 98] LIU J., "A Method of Spatial Reasoning based on Qualitative Trigonometry" Artificial Intelligence, vol. 98, 1998, p. 137-168. (Pubitemid 128392778)
    • (1998) Artificial Intelligence , vol.98 , Issue.1-2 , pp. 137-168
    • Liu, J.1
  • 44
    • 0032630338 scopus 로고    scopus 로고
    • A new way to represent the relative position between areal objects
    • [MAT 99]
    • [MAT 99] MATSAKIS P., WENDLING L., "A New Way to Represent the Relative Position between Areal Objects" IEEE Trans. on Pattern Analysis and Machine Intelligence, vol. 21, num. 7, 1999, p. 634-642.
    • (1999) IEEE Trans. On Pattern Analysis And Machine Intelligence , vol.21 , Issue.7 , pp. 634-642
    • Matsakis, P.1    Wendling, L.2
  • 46
    • 0028480741 scopus 로고
    • Spatial organization in 2d segmented images: Representation and recognition of primitive spatial relations
    • [MIY 94]
    • [MIY 94] MIYAJIMA K., RALESCU A., "Spatial Organization in 2D Segmented Images: Representation and Recognition of Primitive Spatial Relations" Fuzzy Sets and Systems, vol. 65, 1994, p. 225-236.
    • (1994) Fuzzy Sets and Systems , vol.65 , pp. 225-236
    • Miyajima, K.1    Ralescu, A.2
  • 50
    • 0024162839 scopus 로고
    • Representations of geographical space: Toward a conceptual synthesis
    • [PEU 88]
    • [PEU 88] PEUQUET D. J., "Representations of Geographical Space: Toward a Conceptual Synthesis" Annals of the Association of American Geographers, vol. 78, num. 3, 1988, p. 375-394.
    • (1988) Annals of the Association of American Geographers , vol.78 , Issue.3 , pp. 375-394
    • Peuquet, D.J.1
  • 51
    • 0002618608 scopus 로고
    • Toward formal definitions of topological relations among spatial objects
    • [PUL 88] Sydney, Australia, Aug.
    • [PUL 88] PULLAR D., EGENHOFER M., "Toward Formal Definitions of Topological Relations Among Spatial Objects" Third Int. Symposium on Spatial Data Handling, Sydney, Australia, Aug. 1988, p. 225-241.
    • (1988) Third Int. Symposium on Spatial Data Handling , pp. 225-241
    • Pullar, D.1    Egenhofer, M.2
  • 52
    • 0001930291 scopus 로고
    • A spatial logic based on regions and connection
    • [RAN 92] NEBEL B., RICH C., SWARTOUTW., Eds. San Mateo, CA, Kaufmann
    • [RAN 92] RANDELL D., CUI Z., COHN A., "A Spatial Logic based on Regions and Connection" NEBEL B., RICH C., SWARTOUTW., Eds., Principles of Knowledge Representation and Reasoning KR'92, San Mateo, CA, 1992, Kaufmann, p. 165-176.
    • (1992) Principles of Knowledge Representation and Reasoning KR'92 , pp. 165-176
    • Randell, D.1    Cui, Z.2    Cohn, A.3
  • 54
    • 0001872217 scopus 로고
    • Associative functions and abstract semigroups
    • [SCH 63]
    • [SCH 63] SCHWEIZER B., SKLAR A., "Associative Functions and Abstract Semigroups" Publ. Math. Debrecen, vol. 10, 1963, p. 69-81.
    • (1963) Publ. Math. Debrecen , vol.10 , pp. 69-81
    • Schweizer, B.1    Sklar, A.2
  • 58
    • 0031268223 scopus 로고    scopus 로고
    • Design and analysis of fuzzy morphological algorithms for image processing
    • PII S1063670697075048
    • [SIN 97] SINHA D., SINHA P., DOUGHERTY E. R., BATMAN S., "Design and Analysis of Fuzzy Morphological Algorithms for Image Processing" IEEE Trans. on Fuzzy Systems, vol. 5, num. 4, 1997, p. 570-584. (Pubitemid 127768536)
    • (1997) IEEE Transactions on Fuzzy Systems , vol.5 , Issue.4 , pp. 570-584
    • Sinha, D.1    Sinha, P.2    Dougherty, E.R.3    Batman, S.4
  • 59
    • 0030291799 scopus 로고    scopus 로고
    • Parts, wholes, and part-whole relations: The prospects of mereotopology
    • DOI 10.1016/S0169-023X(96)00017-1, PII S0169023X96000171
    • [VAR 96] VARZI A., "Parts, Wholes, and Part-Whole Relations: The Prospects of Mereotopology" Data and Knowledge Engineering, vol. 20, num. 3, 1996, p. 259-286. (Pubitemid 126365675)
    • (1996) Data and Knowledge Engineering , vol.20 , Issue.3 , pp. 259-286
    • Varzi, A.C.1
  • 60
    • 0001854049 scopus 로고    scopus 로고
    • Spatial representation and reasoning in artificial intelligence
    • [VIE 97] STOCK O., Ed. Kluwer
    • [VIE 97] VIEU L., "Spatial Representation and Reasoning in Artificial Intelligence" STOCK O., Ed., Spatial and Temporal Reasoning, p. 5-41, Kluwer, 1997.
    • (1997) Spatial and Temporal Reasoning , pp. 5-41
    • Vieu, L.1
  • 61
    • 0002763903 scopus 로고    scopus 로고
    • Human-based spatial relationship generalization through neural/fuzzy approaches
    • PII S0165011497000353
    • [WAN 99] WANG X., KELLER J. M., "Human-based Spatial Relationship Generalization through Neural/Fuzzy Approaches" Fuzzy Sets and Systems, vol. 101, num. 1, 1999, p. 5-20. (Pubitemid 129662642)
    • (1999) Fuzzy Sets and Systems , vol.101 , Issue.1 , pp. 5-20
    • Wang, X.1    Keller, J.M.2
  • 62
    • 0016458950 scopus 로고
    • The concept of a linguistic variable and its application to approximate reasoning
    • [ZAD 75]
    • [ZAD 75] ZADEH L. A., "The Concept of a Linguistic Variable and its Application to Approximate Reasoning" Information Sciences, vol. 8, 1975, p. 199-249.
    • (1975) Information Sciences , vol.8 , pp. 199-249
    • Zadeh, L.A.1


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