7.2 Computation of Shape Features of Two Dimensional Objects

7.2.1 General Shape Computation and Representation

Gray, S.B.,
Local Properties of Binary Image in Two Dimensions,
TC(20), No. 5, May 1971, pp. 551-561. BibRef 7105

Kaye, B.H., Naylor, A.G.,
An Optical Information Procedure for Characterizing the Shape of Fine Particle Images,
PR(4), No. 2, May 1972, pp. 195-196.
WWW Version. BibRef 7205

Hogeweg, P., Hesper, B.,
A model study on biomorphological description,
PR(6), No. 3-4, December 1974, pp. 165-179.
WWW Version. 0309
BibRef

Hogeweg, P., Hesper, B.,
Oligothetic characterisation of clusters,
PR(14), No. 1-6, 1981, pp. 131-136.
WWW Version. 0309
Characterisation in terms of a few properties BibRef

Kendall, D.G.,
The Diffusion of Shape,
Applied Probability(9), 1977, pp. 428-430. What is shape? BibRef 7700

Kendall, D.G.,
Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces,
Bull. London Math Soc.(16), 1984, pp. 81-121. Proves planar shape space and complex projective space are isometric. BibRef 8400

Kendall, D.G.,
A Survey of the Statistical Theory of Shape,
Statistical Science(4), No. 2, 1989, pp. 87-120. with Discussion. using the size-and-shape distribution of Delaunay tessellation. BibRef 8900

Thomas, F.J.[Frank J.], Farrow, M.W.[Max W.],
Line scan area signature detection method,
US_Patent4,103,847, 08/01/1978.
HTML Version. Features of areas efficiently. BibRef 7808

Veillon, F.[Francoise],
One Pass Computation of Morphological and Geometrical Properties of Objects in Digital Pictures,
SP(1), 1979, pp. 175-189. BibRef 7900
Earlier: ICPR78(672-674). BibRef

Veillon, F.,
Towards a Systematic Study of Shape Measures,
ICPR84(607-610). BibRef 8400

Ranade, S., Rosenfeld, A., and Samet, H.,
Shape Approximation Using Quadtrees,
PR(15), No. 1, 1982, pp. 31-40.
WWW Version. BibRef 8200

Rosenfeld, A.,
An O(Diameter) Cellular Array Algorithm for Geometric Operations on Images,
PRL(1), 1983, pp. 223-225. BibRef 8300

Shneier, M.O.,
Calculations of Geometric Properties Using Quadtrees,
CGIP(16), No. 3, July 1981, pp. 296-302.
WWW Version. BibRef 8107

Snyder, W.E., and Tang, D.A.,
Finding the Extrema of a Region,
PAMI(2), No. 3, May 1980, pp. 266-269. BibRef 8005
Earlier: A1 only: PRAI-78(118). BibRef

Rix, H., Malenge, J.P.,
Detecting Small Variations in Shape,
SMC(10), 1980, pp. 90-96. BibRef 8000

Pasian, F., Santin, P.,
Shape Information Extraction in Noisy Environments,
PRL(2), 1983, pp. 109-116. BibRef 8300

Edelsbrunner, H., Kirkpatrick, D.G., Seidel, R.,
On the Shape of a Set of Points in the Plane,
IT(29), 1983, pp. 551-559. BibRef 8300

Merelli, D., Mussio, P., Padula, M.,
An Approach to the Definition, Description, and Extraction of Structures in Binary Digital Images,
CVGIP(31), No. 1, July 1985, pp. 19-49.
WWW Version. BibRef 8507

Mussio, P., Padula, M., Protti, M.,
Attributed conditional L-systems: a tool for image description,
ICPR88(I: 607-609).
IEEE DOI Link 8811
BibRef

Samet, H., Tamminen, M.,
Computing Geometric Properties of Images Represented by Linear Quadtrees,
PAMI(7), No. 2, March 1985, pp. 229-240. BibRef 8503

Rosenfeld, A.[Azriel], and Jolion, J.M.[Jean-Michel],
Local Operations on Labelled Dots Patterns,
PRL(9), 1989, pp. 225-232. Voronoi Diagrams. BibRef 8900

Chen, S.E., and Parent, R.E.,
Shape averaging and its applications to industrial design,
IEEE_CGA(9), No. 1, January 1989, pp. 47-54. BibRef 8901

Nakamura, A., Aizawa, K.,
Digital Squares,
CVGIP(49), No. 3, March 1990, pp. 357-368.
WWW Version. See also Digital Circles. BibRef 9003

Nakamura, A., Aizawa, K.,
Digital Images of Geometric Pictures,
CVGIP(30), No. 1, April 1985, pp. 107-120.
WWW Version. BibRef 8504

Connell, J.H.[Jonathan H.], and Brady, M.[Michael],
Generating and Generalizing Models of Visual Objects,
AI(31), No. 2, February 1987, pp. 159-183.
WWW Version. BibRef 8702
And: MIT AI Memo-823, July 1985. BibRef
Earlier:
Learning Shape Descriptions,
IJCAI85(922-925). Using the features from the other Brady papers. Apply a basic learning program. BibRef

Connell, J.H.[Jonathan H.],
Learning Shape Descriptions: Generating and Generalizing Models of Visual Objects,
MIT AI-TR-854, September 1985.
WWW Version. BibRef 8509

Paglieroni, D.W., Jain, A.K.,
Control Point Transforms for Shape Representation and Measurement,
CVGIP(42), No. 1, April 1988, pp. 87-111.
WWW Version. BibRef 8804

Gibbon, G.[Greg],
Weighted chord functions,
PR(21), No. 4, 1988, pp. 367-379.
WWW Version. 0309
Incorporate the metric information into the angle function. They enhance the performance of the angle chord function by emphasizing the chords that carry more information: the longer chords. BibRef

Falcidieno, B., Giannini, F.,
Automatic Recognition and Representation of Shape-Based Features in a Geometric Modeling System,
CVGIP(48), No. 1, October 1989, pp. 93-123.
WWW Version. BibRef 8910

Mori, S., and Doh, M.,
A Sequential Tracking Extraction of Shape Features and its Constructive Description,
CGIP(19), No. 4, August 1982, pp. 349-366.
WWW Version. Builds up shape features based on simple templates-a 3 step process. BibRef 8208

Cordier, J.M., Porter, T.,
Pattern Recognition and Categorical Shape Theory,
PRL(7), 1988, pp. 73-76. BibRef 8800

Porter, T.[Timothy],
Can Categorical Shape Theory Handle Grey-level Images?,
MDSG94(127) BibRef 9400

Landraud, A.M.,
Image Processing for Primitive Image Features Recognition in the Case of Discontinuous Line Images of Printed Characters,
IVC(7), No. 3, August 1989, pp. 225-232.
WWW Version. BibRef 8908

Gilge, M.[Michael], Engelhardt, T.[Thomas], Mehlan, R.[Ralf],
Coding of arbitrarily shaped image segments based on a generalized orthogonal transform,
SP:IC(1), No. 2, October 1990, pp. 153-180.
WWW Version. 0001
Coding of image segments; moment theory; orthogonalization; orthogonal polynomials; generalized transform coding; prediction error segmentation BibRef

Jakubowski, R.,
Decomposition of Complex Shapes for Their Structural Recognition,
IS(50), 1990, pp. 35-71. BibRef 9000

Burns, J.B., Weiss, R., and Riseman, E.M.,
View Variation of Point Set and Line Segment Features,
PAMI(15), No. 1, January 1993, pp. 51-68.
IEEE Abstract.
WWW Version. BibRef 9301 DARPA90(650-659). How features change depending on where on the sphere (i.e. orientation). BibRef

Rosin, P.L.,
Acquiring Information from Cues,
PRL(14), 1993 pp. 599-609. BibRef 9300

Parui, S.K., Sarkar, S., Chaudhuri, B.B.,
Computing the Shape of a Point Set in Digital Images,
PRL(14), 1993, pp. 89-94. BibRef 9300

Zhang, Y.J.,
Influence of Segmentation over Feature Measurement,
PRL(16), No. 2, February 1995, pp. 201-206. BibRef 9502

Loncaric, S., Dhawan, A.P.,
Near-Optimal MST-Based Shape-Description Using Genetic Algorithm,
PR(28), No. 4, April 1995, pp. 571-579.
WWW Version. (MST: Morphological Signature Transform) BibRef 9504

Loncaric, S., Dhawan, A.P.,
A Morphological Signature Transform for Shape Description,
PR(26), No. 7, July 1993, pp. 1029-1037.
WWW Version. BibRef 9307

Bhattacharya, P.,
Estimation of Aspect Angles of Targets in Forward-Looking Infrared Images,
OptEng(33), No. 10, 1994, pp. 3334-3341. BibRef 9400

Huttenlocher, D.P.[Daniel P.], Jaquith, E.W.[Eric W.],
Method for identifying word bounding boxes in text,
US_Patent5,410,611, April 25, 1995.
WWW Version. BibRef 9504

Thacker, N.A., Riocreux, P.A., Yates, R.B.,
Assessing the Completeness Properties of Pairwise Geometric Histograms,
IVC(13), No. 5, June 1995, pp. 423-429.
WWW Version. Shape description and reconstruction from several histograms. BibRef 9506

Astrom, A., Forchheimer, R., Eklund, J.E.,
Global Feature-Extraction Operations For Near-Sensor Image-Processing,
IP(5), No. 1, January 1996, pp. 102-110.
IEEE DOI Link BibRef 9601

Bryant, A., Bryant, J.,
Recognizing Shapes in Planar Binary Images,
PR(22), No. 2, 1989, pp. 155-164.
WWW Version. BibRef 8900

Stockman, G.C., Morawski, P.,
2D Object Acquisition Using Circular Scanning,
PR(17), No. 3, 1984, pp. 321-330.
WWW Version. 9611
BibRef

Albanesi, M.G., Ferretti, M.,
Shape Detection with Limited Memory,
PR(24), No. 12, 1991, pp. 1153-1166.
WWW Version. BibRef 9100
Earlier:
A space saving approach to the Hough transform,
ICPR90(II: 472-475).
IEEE DOI Link 9208
BibRef

Nettleton, D.J., Garigliano, R.,
Reductions in the Search Space for Deriving a Fractal Set of an Arbitrary Shape,
JMIV(6), No. 4, December 1996, pp. 379-392. 9701
BibRef

Liu, K., Huang, Y.S., and Suen, C.Y.,
Optimal Matrix Transform for the Extraction of Algebraic Features from Images,
PRAI(10), 1996, pp. 349-363. BibRef 9600

Li, Z.C., Tang, Y.Y., Bui, T.D., Suen, C.Y.,
Shape Transformation Models and Their Applications in Pattern Recognition,
PRAI(4), 1990, pp. 65-94. BibRef 9000

Shapira, M., and Rappoport, A.,
Shape Blending Using the Star-Skeleton Representation,
IEEE_CGA(15), No. 2, 1995, pp. 44-50. BibRef 9500

Brinn, L.W.,
An Application Of Linear Programming To Object Location In R Dimensions,
PRL(7), 1988, pp. 51-57. BibRef 8800

Dubois, D., Jaulent, M.C.,
A General Approach to Parameter Evaluation in Fuzzy Digital Pictures,
PRL(6), 1987, pp. 251-259. BibRef 8700

Ahn, J.W.[Jae-Woo], Kim, M.S.[Myung-Soo], Lim, S.B.[Soon-Bum],
Approximate General Sweep Boundary Of A 2d Curved Object,
GMIP(55), No. 2, March 1993, pp. 98-??. BibRef 9303

Thompson, S.F., Rosenfeld, A.,
Growth-Processes Based on 8-Neighbor Time Delays,
PR(30), No. 2, February 1997, pp. 321-337.
WWW Version. 9704
BibRef

Thompson, S.F.[Scott F.], and Rosenfeld, A.[Azriel],
Discrete Stochastic Growth Models for Two-Dimensional Shapes,
MDSG94(301-332). BibRef 9400

Thompson, S.F.[Scott F.], Rosenfeld, A.[Azriel],
Isotropic growth on a grid,
PR(28), No. 2, February 1995, pp. 241-253.
WWW Version. 0401
BibRef

Ronse, C., Macq, B.,
Morphological shape and region description,
SP(25), No. 1, 1991, pp. 91-105. BibRef 9100

Chen, W.G.[Wei-Ge], Lee, M.C.[Ming-Chieh],
Representation and encoding of general arbitrary shapes,
US_Patent5,764,814, Jun 9, 1998
WWW Version. BibRef 9806

Qian, R.J.[Richard J.], Sezan, M.I.[M. Ibrahim],
Vertex-based hierarchical shape representation and coding method and apparatus,
US_Patent5,838,830, Nov 17, 1998
WWW Version. BibRef 9811
And:
Content-Scalable Shape Representation and Coding,
ICIP97(II: 819-822).
IEEE DOI Link BibRef

Beltramio, M., Cheng, L.T., Osher, S.J., Sapiro, G.,
Variational Problems and Partial Differential Equations on Implicit Surfaces,
CompPhys(174), 2001, pp. 759-780.
WWW Version. BibRef 0100

Beltramio, M., Sapiro, G., Osher, S.J., Cheng, L.T.,
Variational problems and Partial Differential Equations on implicit surfaces: the framework and examples in Image Processing and pattern formation,
LevelSet01(xx-yy). 0106
BibRef

Zhao, H.K., Osher, S.J., Fedkiw, R.,
Fast Surface Reconstruction Using the Level Set Method,
LevelSet01(xx-yy). 0106
BibRef

Davatzikos, C.,
Measuring biological shape using geometry-based shape transformations,
IVC(19), No. 1-2, January 2001, pp. 63-74.
WWW Version. 0101
BibRef

da Fontoura Costa, L.[Luciano], and Cesar, Jr., R.M.[Roberto Marcondes],
Shape Classification and Analysis: Theory and Practice,
CRC PressApril, 2009. ISBN: 9780849379291
WWW Version. Buy this book: Shape Classification and Analysis: Theory and Practice, Second Edition (Image Processing) 0910
BibRef
And:
Shape Analysis and Classification: Theory and Practice,
CRC PressDecember 20, 2000. ISBN: 0-8493-3493-4
WWW Version. Or:
WWW Version. BibRef

Betke, M.[Margrit], Makris, N.C.[Nicholas C.],
Recognition, Resolution, and Complexity of Objects Subject to Affine Transformations,
IJCV(44), No. 1, August 2001, pp. 5-40.
WWW Version. Derive measures of the shape. Generalized coherence scale. Measure of object complexity. 0108
BibRef
Earlier:
Information-Conserving Object Recognition,
ICCV98(145-152).
IEEE DOI Link BibRef
And: UMD--TR3799, June 1997. Traffic signs.
WWW Version.
WWW Version. BibRef

Betke, M.[Margrit], Markis, N.C.[Nicholas C.],
Fast Object Recognition in Noisy Images Using Simulated Annealing,
ICCV95(523-530).
IEEE DOI Link
WWW Version. BibRef 9500
And: MIT AI Memo-1510, January 1995.
WWW Version. Match a visual template. BibRef

Glendinning, R.H., Goode, A.J.,
Semi-parametric classification of noisy curves,
PR(36), No. 1, January 2003, pp. 35-44.
WWW Version. 0210
BibRef

Goode, A.J., Glendinning, R.H.,
Semi-parametric Signal Classification,
ICPR00(Vol II: 622-625).
IEEE DOI Link
HTML Version. 0009
BibRef

Glendinning, R.H., Fleet, S.L.,
Classifying non-uniformly sampled vector-valued curves,
PR(37), No. 10, October 2004, pp. 1999-2008.
WWW Version. 0409
BibRef

Moon, H.K.[Han-Kyu], Chellappa, R., Rosenfeld, A.,
Optimal edge-based shape detection,
IP(11), No. 11, November 2002, pp. 1209-1227.
IEEE DOI Link 0301
BibRef
Earlier:
Optimal Shape Detection,
ICIP00(Vol III: 885-888).
IEEE Abstract. 0008
BibRef

Ye, J.C.[Jong Chul], Bresler, Y., Moulin, P.,
Cramer-Rao bounds for parametric shape estimation in inverse problems,
IP(12), No. 1, January 2003, pp. 71-84.
IEEE DOI Link 0301
BibRef
Earlier: ICIP02(II: 473-476).
IEEE Abstract. 0210
BibRef

Ye, J.C.[Jong Chul], Moulin, P., Bresler, Y.,
Asymptotic Global Confidence Regions for 3-D Parametric Shape Estimation in Inverse Problems,
IP(15), No. 10, October 2006, pp. 2904-2919.
IEEE DOI Link 0609
BibRef

Ye, J.C.[Jong Chul],
Compressed Sensing Shape Estimation of Star-Shaped Objects in Fourier Imaging,
SPLetters(14), No. 10, October 2007, pp. 750-753.
IEEE DOI Link 0711
BibRef

Alvarez, L., Blanc, A.P., Mazorra, L., Santana, F.,
Geometric Invariant Shape Representations Using Morphological Multiscale Analysis,
JMIV(18), No. 2, March 2003, pp. 145-168.
WWW Version. 0301
BibRef

Arica, N.[Nafiz], Vural, F.T.Y.[Fatos T. Yarman],
BAS: A Perceptual Shape Descriptor Based on the Beam Angle Statistics,
PRL(24), No. 9-10, June 2003, pp. 1627-1639.
WWW Version. 0304
BibRef
Earlier:
A perceptual shape descriptor,
ICPR02(III: 375-378).
IEEE DOI Link 0211
BibRef
Earlier:
A Shape Descriptor Based on Circular Hidden Markov Model,
ICPR00(Vol I: 924-927).
IEEE DOI Link
HTML Version. 0009
For contour type models. BibRef

Arica, N.[Nafiz], Vural, F.T.Y.[Fatos T. Yarman],
Shape Similarity Measurement for Boundary Based Features,
ICIAR05(431-438).
Springer DOI Link 0509
BibRef

Swann, A.[Andrew], Olsen, N.H.[Niels Holm],
Linear Transformation Groups and Shape Space,
JMIV(19), No. 1, July 2003, pp. 49-62.
WWW Version. 0307
BibRef

Kimia, B.B.[Benjamin B.], Frankel, I.[Ilana], Popescu, A.M.[Ana-Maria],
Euler Spiral for Shape Completion,
IJCV(54), No. 1-3, August 2003, pp. 159-182.
WWW Version. 0306
BibRef

Dufresne, T.E.[Thomas E.], Dhawan, A.P.[Atam P.],
Chord-tangent transformation for object recognition,
PR(28), No. 9, September 1995, pp. 1321-1332.
WWW Version. 0401
BibRef

Davies, R.H.[Rhodri H.], Twining, C.J.[Carole J.], Allen, P.D.[P. Daniel], Cootes, T.F.[Tim F.], Taylor, C.J.[Chris J.],
Building optimal 2D statistical shape models,
IVC(21), No. 12-13, December 2003, pp. 1171-1182.
WWW Version. 0401
BibRef

Davies, R.H.[Rhodri H.], Twining, C.J.[Carole J.], Taylor, C.J.[Chris J.],
Statistical Models of Shape: Optimisation and Evaluation,
Springer2008. ISBN: 978-1-84800-137-4.
WWW Version. Buy this book: Statistical Models of Shape: Optimisation and Evaluation BibRef 0800

Davies, R.H.[Rhodri H.],
Learning Shape: Optimal Models for Analysing Natural Variability,
Ph.D.Thesis, University of Manchester, 2002. Three measures for shape correspondence evaluation: Compactness, Generality, Specificity. BibRef 0200

Neri, A., Jacovitti, G.,
Maximum Likelihood Localization of 2-D Patterns in the Gauss-Laguerre Transform Domain: Theoretic Framework and Preliminary Results,
IP(13), No. 1, January 2004, pp. 72-86.
IEEE DOI Link 0402
Position, orientation, scale of 2D pattern. BibRef

Sorgi, L., Cimminiello, N., Neri, A.,
Keypoints Selection in the Gauss Laguerre Transformed Domain,
BMVC06(II:539).
PDF Version. 0609
BibRef

da Silva Torres, R.[Ricardo], Falcão, A.X.[Alexandre Xavier], da Fontoura Costa, L.[Luciano],
A graph-based approach for multiscale shape analysis,
PR(37), No. 6, June 2004, pp. 1163-1174.
WWW Version. 0405
BibRef

Adamek, T.[Tomasz], O'Connor, N.E.[Noel E.],
A multiscale representation method for nonrigid shapes with a single closed contour,
CirSysVideo(14), No. 5, May 2004, pp. 742-753.
IEEE Abstract. 0407
Contour is 2-D matrix with hills and valleys for the concave and convex parts. BibRef

Luo, H.,
Image-Dependent Shape Coding and Representation,
CirSysVideo(15), No. 3, March 2005, pp. 345-354.
IEEE Abstract. 0501
BibRef

Chanussot, J.[Jocelyn], Nyström, I.[Ingela], Sladoje, N.[Nataša],
Shape signatures of fuzzy star-shaped sets based on distance from the centroid,
PRL(26), No. 6, 1 May 2005, pp. 735-746.
WWW Version. 0501
BibRef

Sohel, F.A.[Ferdous A.], Dooley, L.S.[Laurence S.], Karmakar, G.C.[Gour C.],
Accurate distortion measurement for generic shape coding,
PRL(27), No. 2, 15 January 2006, pp. 133-142.
WWW Version. 0512
BibRef

Poonawala, A.[Amyn], Milanfar, P.[Peyman], Gardner, R.J.[Richard J.],
Shape Estimation from Support and Diameter Functions,
JMIV(24), No. 2, March 2006, pp. 229-244.
Springer DOI Link 0605
See also New Algorithm for 3D Reconstruction from Support Functions, A. BibRef

Musé, P.[Pablo], Sur, F.[Frédéric], Cao, F.[Frédéric], Gousseau, Y.[Yann], Morel, J.M.[Jean-Michel],
An A Contrario Decision Method for Shape Element Recognition,
IJCV(69), No. 3, September 2006, pp. 295-315.
Springer DOI Link 0606
See also Extracting Meaningful Curves from Images. BibRef

Musé, P., Sur, F., Cao, F., Lisani, J.L., Morel, J.M.,
A Theory of Shape Identification,
INRIARR-5766, 2005.
HTML Version. BibRef 0500

Chen, W.Y.[Wen-Yao], Hwang, W.L.[Wen-Liang], Lin, T.C.[Tien-Ching],
Planar-shape prototype generation using a tree-based random greedy algorithm,
SMC-B(36), No. 3, June 2006, pp. 649-659.
IEEE DOI Link 0606
Find a mean from a set of objects to create template. BibRef

Mendels, F.[François], Vandergheynst, P.[Pierre], Thiran, J.P.[Jean-Philippe],
Matching pursuit-based shape representation and recognition using scale-space,
IJIST(16), No. 5, 2006, pp. 162-180.
WWW Version. 0704
BibRef
Earlier:
Rotation and scale invariant shape representation and recognition using matching pursuit,
ICPR02(IV: 326-329).
IEEE DOI Link 0211
BibRef

Kpalma, K.[Kidiyo], Ronsin, J.[Joseph],
Multiscale contour description for pattern recognition,
PRL(27), No. 13, 1 October 2006, pp. 1545-1559.
WWW Version. 0606
BibRef
Earlier:
Contours Smoothing for Non-Occluded Planar Shapes Description,
ICIP05(I: 381-384).
IEEE DOI Link 0512
Multiscale smoothing; Scale-space analysis; Curvature zero-crossing; Intersection point map BibRef

Kpalma, K.[Kidiyo], Yang, M.Q.A.[Min-Qi-Ang], Ronsin, J.[Joseph],
Planar Shapes Descriptors Based on the Turning Angle Scalogram,
ICIAR08(xx-yy).
Springer DOI Link 0806
BibRef
Earlier: A1, A3, Only:
A Novel Multi-scale Representation for 2-D Shapes,
ICIAR07(423-435).
Springer DOI Link 0708
BibRef

El Rube, I.[Ibrahim], Alajlan, N.[Naif], Kamel, M.S.[Mohamed S.], Ahmed, M.[Maher], Freeman, G.H.[George H.],
Mtar: A Robust 2d Shape Representation,
IJIG(6), No. 3, July 2006, pp. 421-443. 0607
BibRef
Earlier:
Robust Multiscale Triangle-Area Representation for 2D Shapes,
ICIP05(I: 545-548).
IEEE DOI Link 0512
BibRef
And:
Efficient Multiscale Shape-Based Representation and Retrieval,
ICIAR05(415-422).
Springer DOI Link 0509
BibRef

El Rube, I.[Ibrahim], Kamel, M.[Mohamed], Ahmed, M.[Maher],
2-D Shape Matching Using Asymmetric Wavelet-Based Dissimilarity Measure,
ICIAR04(I: 368-375).
WWW Version. 0409
BibRef

Clark, W.D.[Walter D.], Aboutalib, O.[Omar], Su, L.[Liya],
System and method for analyzing a contour of an image by applying a Sobel operator thereto,
US_Patent7,116,823, Oct 3, 2006
WWW Version. BibRef 0610

Chaudhuri, D., Samal, A.,
A simple method for fitting of bounding rectangle to closed regions,
PR(40), No. 7, July 2007, pp. 1981-1989.
WWW Version. 0704
Minimum-bounding box; Shape features; Major axis; Minor axis; Segmentation; Least-square method BibRef

Kuo, C.M.[Chung-Ming], Hsieh, C.H.[Chaur-Heh], Huang, Y.R.[Yong-Ren],
A new adaptive vertex-based binary shape coding technique,
IVC(25), No. 6, 1 June 2007, pp. 863-872.
WWW Version. 0704
Shape coding; Vertex-based coding; Modified object-adaptive vertex encoding BibRef

de Vieilleville, F.[François], Lachaud, J.O.[Jacques-Olivier], Feschet, F.[Fabien],
Convex Digital Polygons, Maximal Digital Straight Segments and Convergence of Discrete Geometric Estimators,
JMIV(27), No. 2, February 2007, pp. 139-156.
Springer DOI Link 0704
BibRef
Earlier:
Maximal Digital Straight Segments and Convergence of Discrete Geometric Estimators,
SCIA05(988-997).
Springer DOI Link 0506
BibRef
Earlier: A2, A1, Only:
Convex Shapes and Convergence Speed of Discrete Tangent Estimators,
ISVC06(II: 688-697).
Springer DOI Link 0611
Estimation of shape with only discrete representaiton. BibRef

de Vieilleville, F.[François], Lachaud, J.O.[Jacques-Olivier],
Experimental Comparison of Continuous and Discrete Tangent Estimators Along Digital Curves,
IWCIA08(xx-yy).
Springer DOI Link 0804
BibRef

Kerautret, B.[Bertrand], Lachaud, J.O.[Jacques-Olivier],
Curvature estimation along noisy digital contours by approximate global optimization,
PR(42), No. 10, October 2009, pp. 2265-2278.
Elsevier DOI Link
WWW Version. 0906
BibRef
Earlier:
Robust Estimation of Curvature along Digital Contours with Global Optimization,
DGCI08(xx-yy).
Springer DOI Link 0804
Discrete geometry; Digital contours; Curvature estimation; Feature detection; Robustness to noise BibRef

Kerautret, B.[Bertrand], Lachaud, J.O.[Jacques-Olivier],
Multi-scale Analysis of Discrete Contours for Unsupervised Noise Detection,
IWCIA09(187-200).
Springer DOI Link 0911
BibRef

Leonard, K.[Kathryn],
Efficient Shape Modeling: Entropy, Adaptive Coding, and Boundary Curves -vs- Blum's Medial Axis,
IJCV(74), No. 2, August 2007, pp. 183-199.
Springer DOI Link 0705
BibRef
Earlier:
An Efficiency Criterion for 2D Shape Model Selection,
CVPR06(I: 1289-1296).
IEEE DOI Link 0606
BibRef

Thakoor, N.[Ninad], Gao, J.X.[Jean X.], Jung, S.Y.[Sung-Yong],
Hidden Markov Model-Based Weighted Likelihood Discriminant for 2-D Shape Classification,
IP(16), No. 11, November 2007, pp. 2707-2719.
IEEE DOI Link 0709
BibRef
Earlier: A1, A3, A2:
Detecting Occlusion for Hidden Markov Modeled Shapes,
ICIP06(945-948). 0610

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Thakoor, N.[Ninad], Jung, S.Y.[Sung-Yong], Wen, Q.[Quan], Gao, J.[Jean],
Occlusion Resistant Shape Classifier based on Warped Optimal Path Matching,
ICPR06(II: 60-63).
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Nagaoka, N.[Nobuharu], Tsuji, T.[Takayuki], Hattori, H.[Hiroshi], Simamura, K.[Kouzou], Watanabe, M.[Masahito],
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Daliri, M.R.[Mohammad Reza], Torre, V.[Vincent],
Robust symbolic representation for shape recognition and retrieval,
PR(41), No. 5, May 2008, pp. 1799-1815.
WWW Version. 0711
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Unsupervised Custering of Shapes,
ISVC06(I: 712-720).
Springer DOI Link 0611
Shape recognition and retrieval; Symbolic representation; Shape context; Dynamic programming; Edit distance BibRef

Daliri, M.R.[Mohammad Reza], Torre, V.[Vincent],
Shape and texture clustering: Best estimate for the clusters number,
IVC(27), No. 10, 2 September 2009, pp. 1603-1614.
Elsevier DOI Link
WWW Version. 0906
Shape and texture clustering; Number of clusters; Symbolic representation; Shape context; Dynamic programming; Edit distance; SIFT BibRef

Daliri, M.R.[Mohammad Reza], Torre, V.[Vincent],
Classification of silhouettes using contour fragments,
CVIU(113), No. 9, September 2009, pp. 1017-1025.
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Shape recognition; Fragment-based approach; Symbolic representation; PCA; SVM; Kernel method BibRef

Daliri, M.R.[Mohammad Reza], Vanzella, W.[Walter], Torre, V.[Vincent],
A Vision System for Recognizing Objects in Complex Real Images,
ISVC07(II: 234-244).
Springer DOI Link 0711
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Daliri, M.R.[Mohammad Reza], Delponte, E.[Elisabetta], Verri, A.[Alessandro], Torre, V.[Vincent],
Shape Categorization Using String Kernels,
SSPR06(297-305).
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Bandyopadhyay, S.K., Kondi, L.P.,
Optimal Bit Allocation for Joint Texture-Aware Contour-Based Shape Coding and Shape-Adaptive Texture Coding,
CirSysVideo(18), No. 6, June 2008, pp. 840-844.
IEEE DOI Link 0711
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Optimal Bit Allocation for Joint Contour-Based Shape Coding and Shape Adaptive Texture Coding,
ICIP05(I: 589-592).
IEEE DOI Link 0512
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Larsen, R.[Rasmus],
L 1 Generalized Procrustes 2D Shape Alignment,
JMIV(31), No. 2-3, July 2008, pp. 189-194.
WWW Version. 0711
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Earlier:
Functional 2D Procrustes Shape Analysis,
SCIA05(205-213).
Springer DOI Link 0506
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Biasotti, S.[Silvia], Giorgi, D.[Daniela], Spagnuolo, M., Falcidieno, B.[Bianca],
Size functions for comparing 3D models,
PR(41), No. 9, September 2008, pp. 2855-2873.
WWW Version. 0806
Skeletal graph; Size graph; Size function; Matching distance; Shape comparison; 3D shape retrieval BibRef

Biasotti, S.[Silvia], de Floriani, L.[Leila], Falcidieno, B.[Bianca], Frosini, P., Giorgi, D., Landi, C., Papaleo, L.[Laura], Spagnuolo, M.,
Describing shapes by geometrical-topological properties of real functions,
Surveys(40), No. 4, October 2008, pp. 1-87.
WWW Version. 0810
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Biasotti, S.[Silvia], de Floriani, L.[Leila], Falcidieno, B.[Bianca], Papaleo, L.[Laura],
Morphological Representations of Scalar Fields,
ShapeAnalysis08(6). 0802
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Papaleo, L.[Laura], de Floriani, L.[Leila],
Semantic-Based Segmentation and Annotation of 3D Models,
CIAP09(103-112).
Springer DOI Link 0909
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Paraboschi, L.[Laura], Biasotti, S.[Silvia], Falcidieno, B.[Bianca],
Comparing Sets of 3D Digital Shapes Through Topological Structures,
GbRPR07(114-125).
Springer DOI Link 0706
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Biasotti, S.[Silvia], Cerri, A.[Andrea], Frosini, P., Giorgi, D.[Daniela], Landi, C.,
Multidimensional Size Functions for Shape Comparison,
JMIV(32), No. 2, October 2008, pp. xx-yy.
Springer DOI Link 0804
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k-dimensional Size Functions for Shape Description and Comparison,
CIAP07(795-800).
IEEE DOI Link 0709
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di Fabio, B.[Barbara], Landi, C.[Claudia], Medri, F.[Filippo],
Recognition of Occluded Shapes Using Size Functions,
CIAP09(642-651).
Springer DOI Link 0909
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Cerri, A.[Andrea], Giorgi, D.[Daniela], Musé, P.[Pablo], Sur, F.[Frédéric], Tomassini, F.[Federico],
Shape Recognition Via an a Contrario Model for Size Functions,
ICIAR06(II: 410-421).
Springer DOI Link 0610
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Cerri, A.[Andrea], Ferri, M.[Massimo], Giorgi, D.[Daniela],
A Complete Keypics Experiment with Size Functions,
CIVR05(357-366).
Springer DOI Link 0507
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Zhu, Y.[Yu], Lu, Z.Q.[Zong-Qi], Liu, M.[Min], Zuo, T.[Tian],
The line segment table: a fast region description algorithm,
RealTimeIP(3), No. 4, December 2008, pp. xx-yy.
Springer DOI Link 0811
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Kim, J.G.[Jeong-Gyoo], Noble, J.A.[J. Alison], Brady, J.M.[J. Michael],
Probabilistic Models for Shapes as Continuous Curves,
JMIV(33), No. 1, January 2009, pp. xx-yy.
Springer DOI Link 0804
Shape model as deformation from a standard shape. BibRef

Jankowski, H.K.[Hanna K.], Stanberry, L.I.[Larissa I.],
Expectations of Random Sets and Their Boundaries Using Oriented Distance Functions,
JMIV(36), No. 3, March 2010, pp. xx-yy.
Springer DOI Link 1003
View the object as random sets in the plane. BibRef

Oertel, C., Bock, P.,
General Shape Generation by Contouring Fractals and Applying Linear Boundary Regression,
AIPR07(111-116).
IEEE DOI Link 0710
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Zhu, L.[Long], Yuille, A.[Alan],
Recursive compositional models: Representation, learning, and inference,
SIG09(5-5).
IEEE DOI Link 0906
Recursive compositional models: Allow to represent the shape/geometry and visual appearance of objects and images at different scales. BibRef

Ahuja, N.[Narendra],
A syntax for image understanding,
SIG09(9-10).
IEEE DOI Link 0906
Find a general low-level representation. BibRef

Bandera, A., Antúnez, E., Marfil, R.,
An Adaptive Approach for Affine-Invariant 2D Shape Description,
IbPRIA09(417-424).
Springer DOI Link 0906
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Shan, H.H.[Hong-Hao], Cottrell, G.W.[Garrison W.],
Looking around the backyard helps to recognize faces and digits,
CVPR08(1-8).
IEEE DOI Link 0806
I.e. use universal features. To quickly learn new classes. BibRef

Tay, P.C.[Peter C.],
AM-FM Image Analysis Using the Hilbert Huang Transform,
Southwest08(13-16).
IEEE DOI Link 0803
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Han, D., Li, W., Guo, W., Li, Z.,
Hilbert-Huang Transform-based Local Regions Descriptors,
BMVC07(xx-yy).
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Qureshi, R.J.[Rashid Jalal], Ramel, J.Y.[Jean-Yves], Cardot, H.[Hubert],
Graph Based Shapes Representation and Recognition,
GbRPR07(49-60).
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Wu, G.[Gang], Liu, W.J.[Wei-Jie], Xie, X.H.[Xiao-Hui], Wei, Q.A.[Qi-Ang],
A Shape Detection Method Based on the Radial Symmetry Nature and Direction-Discriminated Voting,
ICIP07(VI: 169-172).
IEEE DOI Link 0709
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Herberthson, M.[Magnus], Brun, A.[Anders], Knutsson, H.[Hans],
Representing Pairs of Orientations in the Plane,
SCIA07(661-670).
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I.e. to deal with pairs of lines. BibRef

Bauckhage, C.[Christian],
Tree-Based Signatures for Shape Classification,
ICIP06(2105-2108). 0610

IEEE DOI Link BibRef

Chekroun, M.[Mickael], Darbon, J.[Jérôme], Ciril, I.[Igor],
On a Polynomial Vector Field Model for Shape Representation,
ICIAR06(II: 386-397).
Springer DOI Link 0610
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Marmo, R.[Roberto], Amodio, S.[Sabrina], Cantoni, V.[Virginio],
Microfossils shape classification using a set of width values,
ICPR06(I: 691-694).
WWW Version. 0609
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Karlsson, J., Ericsson, A., Astrom, K.,
Parameterisation invariant statistical shape models,
ICPR04(IV: 23-26).
IEEE DOI Link 0409
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Ericsson, A., Astrom, K.,
An affine invariant deformable shape representation for general curves,
ICCV03(1142-1149).
IEEE DOI Link 0311
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Edwards, J.D., Riley, K.J., Eakins, J.P.,
A Visual Comparison of Shape Descriptors Using Multi-Dimensional Scaling,
CAIP03(393-401).
WWW Version. 0311
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Zhang, B.C.[Bao-Chang], Gao, W.[Wen], Shan, S.G.[Shi-Guang], Wang, W.[Wei],
Constraint Shape Model Using Edge Constraint and Gabor Wavelet Based Search,
AVBPA03(52-61).
HTML Version. 0310
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Hughes, A.[Alex], Wilson, R.C.,
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CIAP03(38-43).
IEEE Abstract. 0310
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Larsen, R.[Rasmus], Hilger, K.B.[Klaus Baggesen], Skoglund, K.[Karl], Darkner, S.[Sune], Paulsen, R.R.[Rasmus R.], Stegmann, M.B.[Mikkel B.], Lading, B.[Brian], Thodberg, H.H.[Hans Henrik], Eiriksson, H.[Hrafnkell],
Some Issues of Biological Shape Modelling with Applications,
SCIA03(509-519).
WWW Version. 0310
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Polec, J.[Jaroslav], Pavlovicová, J.[Jarmila], Vanya, R.[Robert], Karlubiková, T.[Tatiana], Maslik, L.[Lubomir], Partyk, M.[Martin],
New Scheme for Region Approximation and Coding With Shape Independent Transform,
PCV02(B: 214). 0305
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Kim, S.[Seongok], Kim, S.[Sungyoung], Kim, J.[Jongmin], Kim, M.W.[Minh-Wan],
Usefulness of boundary sequences in computing shape features for arbitrary shaped regions,
ICPR02(III: 355-358).
IEEE DOI Link 0211
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Dhandapani, R., Kimia, B.B.,
Role of scale in partitioning shape,
ICIP02(II: 565-568).
IEEE Abstract. 0210
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Pinheiro, A.M.G.[Antonio M. G.],
Local adaptive nonlinear diffusion,
ICIP08(601-604).
IEEE DOI Link 0810
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Pinheiro, A.M.G., Ghanbari, M.,
Contour simplification using non-linear diffusion,
ICIP04(I: 673-676).
IEEE DOI Link 0505
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Earlier:
Scalable coding of shape contours in scale space,
ICIP02(I: 165-168).
IEEE Abstract. 0210
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Pinheiro, A.M.G., Izquierdo, E., Ghanbari, M.,
Shape Matching Using a Curvature Based Polygonal Approximation in Scale-space,
ICIP00(Vol II: 538-541).
IEEE Abstract. 0008
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Pao, H.K.[Hsing-Kuo], Geiger, D.[Davi],
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EMMCVPR01(544-559).
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Tam, R., Fournier, A.,
Shape Model and Threshold Extraction via Shape Gradients,
VMV01(xx-yy).
PDF Version. 0209
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Weistrand, O.[Ola],
A Fast Algorithm for Constructing Parameterizations of Three-Dimensional Simply Connected Digital Objects,
CAIP03(385-392).
WWW Version. 0311
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Weistrand, O.[Ola],
Shape Approximation of Starshaped Discrete Objects,
SCIA01(O-M4B). 0206
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Rogers, M., Graham, J.,
Structured Point Distribution Models: Model Intermittently Present Features,
BMVC01(Session 1: Modelling Shape).
HTML Version. University of Manchester 0110
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Ros, L.[Lluis], Thomas, F.[Federico],
Shape-from-image via Cross-sections,
ICPR00(Vol I: 794-797).
IEEE DOI Link
HTML Version. 0009
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Latecki, L.J.[Longin Jan], Lakämper, R.[Rolf], Eckhardt, U.[Ulrich],
Shape Descriptors for Non-Rigid Shapes with a Single Closed Contour,
CVPR00(I: 424-429).
IEEE Abstract.
WWW Version. 0005
For MPEG encoding Evalution BibRef

Peura, M.[Markus],
A Statistical Classification Method For Hierarchical Irregular Objects,
CIAP97(I: 604-611).
WWW Version. 9709
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Neumann, A.[Anke], Lorenz, C.[Cristian],
Comparison and application of selected statistical shape models in medical imaging,
CIAP97(II: 680-687).
WWW Version. 9709
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Apostolopoulos, J.G., Lim, J.S.,
Representing arbitrarily-shaped regions: A Case Study of Overcomplete Representations,
ICIP95(II: 426-429).
IEEE DOI Link 9510
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Jourlin, M.[Michel], Fillere, I.[Isabelle], Becker, J.M.[Jean-Marie], Labouré, M.J.[Marie-José],
Shapes and metrics,
CAIP93(254-258).
Springer DOI Link 9309
BibRef

Brown, G.[Gary], Forte, P.[Peter], Malyan, R.[Ron], Barnwell, P.[Peter],
A non-linear shape abstraction technique,
CAIP93(223-230).
Springer DOI Link 9309
Simplify shape using rewrite rules. BibRef

Kube, P.,
Likely local shape,
CVPR89(529-534).
IEEE Abstract. 0403
BibRef

Forchhammer, S., Kim, C.E.,
Digital squares,
ICPR88(II: 672-674).
IEEE DOI Link 8811
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Ma, J., Lu, X., Wu, C.,
A New Shape Recognition System,
ICPR86(811-813). BibRef 8600

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Shape Computation Surveys, Comparisons .