13.3.8 Basic Comparison of Relational Network Descriptions

Chapter Contents (Back)
Object Recognition. Matching, Graphs. Graph Matching. Network Descriptions. Relational Descriptions. Relational Distance. Distance Measures.

Tversky, A.,
Features of Similarity,
PsychR(84), No. 4, July 1977, pp. 327-352. Feature Contrast model. Relevant to database queries. BibRef 7707

Price, K.E., and Reddy, R.,
Matching Segments of Images,
PAMI(1), No. 1, January 1979, pp. 110-116. BibRef 7901
Earlier:
Symbolic Image Registration and Change Detection,
DARPA77(28-31). Matching, Regions. Change Detection. The original matching paper of this sequence. Image to image matching. Using graph descriptions where nodes have descriptions (size, location, color, shape, texture, etc.) and links to other nodes using relations (above, below, adjacent, inside, etc.) BibRef

Price, K.E.[Keith E.], Reddy, R.,
Change Detection and Analysis in Multi-Spectral Images,
IJCAI77(619-625). BibRef 7700
Earlier: A1 Only: CMU-CS-TRDecember 1976. BibRef Ph.D.Thesis, CS. Change Detection. Change detection, at the symbolic level applied to aerial images, color ground level images, and SAR. BibRef

Nevatia, R., and Price, K.E.,
Locating Structures in Aerial Images,
PAMI(4), No. 5, September 1982, pp. 476-484. BibRef 8209 USC Computer Vision BibRef
Earlier: ICPR78(686-690). Matching, Lines. The matching procedure assumes that regions are extracted and property values such as size, average intensity, position, and shape parameters are computed. Additionally, relations between regions such as relative position, adjacency, closeness, etc. are computed. This description is given in the form of a semantic network where regions are nodes and relations are the links. These systems find the matching regions one at a time (without backtracking), with the order either determined by the user or by sorting on some feature (e.g. largest first). Features and relations are given three different weights (strong, average and weak) that determines their contribution to the match rating function. BibRef

Sanfeliu, A., and Fu, K.S.,
A Distance Measure between Attributed Relational Graphs for Pattern Recognition,
SMC(13), No. 3, May/June 1983, pp. 353-362. Graph edit matching process. BibRef 8305

Sanfeliu, A., Fu, K.S., Prewitt, J.M.S.,
An Application of a Graph Distance Measure to the Classification of muscle Tissue Patterns,
PRAI(1), 1987, pp. 17-42. BibRef 8700

Eshera, M.A., Fu, K.S.,
A Graph Distance Measure for Image Analysis,
SMC(14), No. 3, May/June 1984, pp. 398-408. See also Image Understanding System Using Attributed Symbolic Representation and Inexact Graph-Matching, An. BibRef 8405

Eshera, M.A., Fu, K.S.,
A Similarity Measure Between Attributed Relational Graphs for Image Analysis,
ICPR84(75-77). BibRef 8400

Rosenfeld, A.,
Distances Between Fuzzy Sets,
PRL(3), 1985, pp. 229-233. Fuzzy Sets. BibRef 8500

Chaudhuri, B.B., Rosenfeld, A.,
On a Metric Distance Between Fuzzy-Sets,
PRL(17), No. 11, September 16 1996, pp. 1157-1160. 9611 BibRef

Sanfeliu, A.,
Structural Similarity Measures for Classifying 2D and 3D Partially Hidden, Occluded and Deformed Objects,
ICPR86(1294-1296). BibRef 8600

Feustel, C.D., Shapiro, L.G.,
The Nearest Neighbor Problem in an Abstract Metric Space,
PRL(1), No. 2, 1982, 125-128. BibRef 8200

Shapiro, L.G., and Haralick, R.M.,
A Metric for Comparing Relational Descriptions,
PAMI(7), No. 1, January 1985, pp. 90-94. Distance Metric. The paper discusses a technique for generating a metric which compares two relational structures. Some background is given, but it does not mention some that are in use in real programs. Structural_Error = (Relations in Image A not in Image B) + (Relations in Image B not in Image A). BibRef 8501

Shapiro, L.G.,
Relational Matching,
HPRIP-CV94(475-496). BibRef 9400
Earlier: With: Haralick, R.M., AppOpt(26), No. 10, May 15, 1987, pp. 1845-1851. Survey, Matching. Matching, Survey. A survey (overview) of relational matching with only their references. BibRef

Shapiro, L.G., and Haralick, R.M.,
Organization of Relational Models for Scene Analysis,
PAMI(4), No. 6, November 1982, pp. 595-602. An earlier 2-D version is under the 2-D analysis chapter. A large data base can be organized by using a simple relational distance metric, followed by either clustering by similar values of the metric or a binary decision tree arrangement. BibRef 8211

Haralick, R.M., Camps, O.I.[Octavia I.], Shapiro, L.G., and
A Probabilistic Matching Algorithm for Computer Vision,
AMAI(10), 1994, pp. 85-124. BibRef 9400

Shapiro, L.G., and Lu, H.,
Accumulator-Based Inexact Matching Using Relational Summaries,
MVA(3), No. 3, 1990, pp. 143-158. BibRef 9000

Shapiro, L.G.,
The Use of Numerical Relational Distance and Symbolic Differences for Organizing Models and for Matching,
T3DMP86(255-270). BibRef 8600
Earlier:
Using Symbolic Differences to Organize Relational Models,
CVPR839377-379). BibRef

Boninsegna, M., Rossi, M.,
Similarity Measures In Computer Vision,
PRL(15), No. 12, December 1994, pp. 1255-1260. BibRef 9412

Oflazer, K.,
Error Tolerant Retrieval of Trees,
PAMI(19), No. 12, December 1997, pp. 1376-1380.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9712Actually matching of trees to find the closest one. Used in machine translation, NL work. BibRef

Tanaka, E., Takemasa, K., Masuda, S.,
A Distance Measure for Molecular Structures and Its Computing Method,
PRL(19), No. 3-4, March 1998, pp. 373-381. 9807 BibRef

Bunke, H., Shearer, K.,
A Graph Distance Metric Based on the Maximal Common Subgraph,
PRL(19), No. 3-4, March 1998, pp. 255-259. 9807 BibRef

Sim, D.G., Kwon, O.K., Park, R.H.,
Object Matching Algorithms Using Robust Hausdorff Distance Measures,
IP(8), No. 3, March 1999, pp. 425-429.
WWW Version. BibRef 9903

Kwon, O.K.[Oh-Kyu], Sim, D.G.[Dong-Gyu], Park, R.H.[Rae-Hong],
Robust Hausdorff distance matching algorithms using pyramidal structures,
PR(34), No. 10, October 2001, pp. 2005-2013.
WWW Version. 0108 BibRef
Earlier:
Pyramidal Robust Hausdorff Distance for Object Matching,
ICIP99(IV:88-92).
IEEE Abstract. IEEE Top Reference. BibRef

Foggia, P., Sansone, C., Tortorella, F., Vento, M.,
Definition and Validation of a Distance Measure Between Structural Primitives,
PAA(2), No. 3, 1999, pp. 215-227. BibRef 9900

de Stefano, C., Foggia, P., Tortorella, F., Vento, M.,
A Distance Measure for Structural Descriptions Using Circular Arcs as Primitives,
ICPR96(II: 290-294).
WWW Version. 9608(Univ. di Napoli FedericoII, I) BibRef

Bunke, H., Guidobaldi, C., Vento, M.,
Weighted minimum common supergraph for cluster representation,
ICIP03(II: 25-28).
IEEE Abstract. IEEE Top Reference. 0312 BibRef

Wang, J.T.L.[Jason T.L.], Zhang, K.Z.[Kai-Zhong],
Finding Similar Consensus Between Trees: An Algorithm and a Distance Hierarchy,
PR(34), No. 1, January 2001, pp. 127-137.
WWW Version. 0010 BibRef

Wallis, W.D., Shoubridge, P., Kraetz, M., Ray, D.,
Graph distances using graph union,
PRL(22), No. 6-7, May 2001, pp. 701-704.
HTML Version. 0105 BibRef

Fernández, M.L.[Mirtha-Lina], Valiente, G.[Gabriel],
A graph distance metric combining maximum common subgraph and minimum common supergraph,
PRL(22), No. 6-7, May 2001, pp. 753-758.
HTML Version. 0105 BibRef

Miller, M.I., Younes, L.,
Group Actions, Homeomorphisms, and Matching: A General Framework,
IJCV(41), No. 1-2, January-February 2001, pp. 61-84.
WWW Version. Metrics on images for matching. 0105 BibRef

Jiang, X.Y.[Xiao-Yi], Münger, A.[Andreas], Bunke, H.[Horst],
On Median Graphs: Properties, Algorithms, and Applications,
PAMI(23), No. 10, October 2001, pp. 1144-1151.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0110Extend the concept of a median to graphs. BibRef

Le Saux, B.[Bertrand], Bunke, H.[Horst],
Combining SVM and Graph Matching in a Bayesian Multiple Classifier System for Image Content Recognition,
SSPR06(696-704).
WWW Version. 0608 BibRef

Huet, B.[Benoit], Hancock, E.R.[Edwin R.],
Relational object recognition from large structural libraries,
PR(35), No. 9, September 2002, pp. 1895-1915.
WWW Version. 0206 BibRef

Huet, B., Hancock, E.R.,
Sensitivity Analysis for Object Recognition from Large Structural Libraries,
ICCV99(1137-1143).
WWW Version. BibRef 9900

Huet, B.[Benoit], Hancock, E.R.[Edwin R.],
Fuzzy Relational Distance for Large-scale Object Recognition,
CVPR98(138-143).
IEEE Abstract. IEEE Top Reference. BibRef 9800

Huet, B.[Benoit], Hancock, E.R.[Edwin R.],
Line Pattern Retrieval Using Relational Histograms,
PAMI(21), No. 12, December 1999, pp. 1363-1370.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0001 BibRef
Earlier:
Relational Histograms for Shape Indexing,
ICCV98(563-569).
WWW Version. Shape to retrieve line based patterns from a database. BibRef

Huet, B.[Benoit], Hancock, E.R.[Edwin R.],
Shape recognition from large image libraries by inexact graph matching,
PRL(20), No. 11-13, November 1999, pp. 1259-1269. 0001 BibRef
Earlier:
Inexact Graph Retrieval,
CBAIVL99(xx-yy). BibRef

Huet, B.[Benoit], Hancock, E.R.[Edwin R.],
Structurally Gated Pairwise Geometric Histograms for Shape Indexing,
BMVC97(xx-yy).
HTML Version. 0209 BibRef

Han, I.S.[In-Seo], Yun, I.D.[Il Dong], Lee, S.U.[Sang Uk],
Modified Hausdorff distance for model-based 3-D object recognition from a single view,
JVCIR(15), No. 1, March 2004, pp. 27-43.
WWW Version. 0402 BibRef

Han, I.S.[In Seo], Yun, I.D.[Il Dong], Lee, S.U.[Sang Uk],
Model-based object recognition Using the Hausdorff Distance with Explicit Pairing,
ICIP99(IV:83-87).
IEEE Abstract. IEEE Top Reference. BibRef 9900

Guru, D.S., Kiranagi, B.B.[Bapu B.], Nagabhushan, P.,
Multivalued type proximity measure and concept of mutual similarity value useful for clustering symbolic patterns,
PRL(25), No. 10, 16 July 2004, pp. 1203-1213.
WWW Version. 0407 BibRef

Guru, D.S., Kiranagi, B.B.[Bapu B.],
Multivalued type dissimilarity measure and concept of mutual dissimilarity value for clustering symbolic patterns,
PR(38), No. 1, January 2005, pp. 151-156.
WWW Version. 0410 BibRef

Wang, W.Q.[Wei-Qiong], Xin, X.[Xiaolong],
Distance measure between intuitionistic fuzzy sets,
PRL(26), No. 13, 1 October 2005, pp. 2063-2069.
WWW Version. 0509 BibRef

Ling, H.B.[Hai-Bin], Okada, K.[Kazunori],
An Efficient Earth Mover's Distance Algorithm for Robust Histogram Comparison,
PAMI(29), No. 5, May 2007, pp. 840-853.
WWW Version. 0704 BibRef
Earlier:
EMD-L1: An Efficient and Robust Algorithm for Comparing Histogram-Based Descriptors,
ECCV06(III: 330-343).
WWW Version. 0608 BibRef
And:
Diffusion Distance for Histogram Comparison,
CVPR06(I: 246-253).
WWW Version. 0606Simplifies original linear programming solution. Reduce to O(n) from O(n^2) BibRef

Meng, D.Y.[De-Yu], Leung, Y.[Yee], Xu, Z.B.[Zong-Ben], Fung, T.[Tung], Zhang, Q.F.[Qing-Fu],
Improving geodesic distance estimation based on locally linear assumption,
PRL(29), No. 7, 1 May 2008, pp. 862-870.
WWW Version. 0804Isometric feature mapping; Geodesic distance estimation; Neighborhood graph; Nonlinear dimensionality reduction BibRef

Chávez, E.[Edgar], Navarro, G.[Gonzalo], Baeza-Yates, R.[Ricardo], Marroquín, J.L.[José Luis],
Searching in metric spaces,
Surveys(33), No. 3, September 2001, pp. 273-321.
WWW Version. 0805 Survey, Distance Measures. BibRef


Yan, W., Wang, Q., Liu, Q., Lu, H., Ma, S.,
Topology-Preserved Diffusion Distance for Histogram Comparison,
BMVC07(xx-yy).
PDF Version. 0709 BibRef

Tian, Q.[Qi], Xue, Q.[Qing], Yu, J.[Jie], Sebe, N., Huang, T.S.[Thomas S.],
Toward an improved error metric,
ICIP04(IV: 2199-2202).
WWW Version. 0505 BibRef

Kim, D.H.[Duck Hoon], Yun, I.D.[Il Dong], Lee, S.U.[Sang Uk],
A new attributed relational graph matching algorithm using the nested structure of earth mover's distance,
ICPR04(I: 48-51).
WWW Version. 0409 BibRef

Climent, J., Aranda, J., Grau, A.[Antoni], Sanfeliu, A.,
Low Cost Architecture for Structure Measure Distance Computation,
ICPR98(Vol II: 1592-1594).
WWW Version. 9808 BibRef

Azencott, R., Younes, L., Coldefy, F.,
A Distance for Elastic Matching in Object Recognition,
ICPR96(I: 687-691).
WWW Version. 9608(ENS Cachan CMLA, F) BibRef

Chapter on Matching and Recognition Using Volumes, High Level Vision Techniques, Invariants continues in
Evidence Theory, Combination Techniques, Optimization Techniques .


Last update:May 8, 2008 at 19:01:47