Suk, M.[Minsoo], and
Kang, H.[Hwanil],
New Measures of Similarity between Two Contours Based on
Optimal Bivariate Transforms,
CVGIP(26), No. 2, May 1984, pp. 168-182.
WWW Version.
Recognize Two-Dimensional Objects. Given two contours, generate the optimal bivariate transform to map
between the two. Recognition is based on the match with the least
error after the transform has been applied.
BibRef
8405
Suk, M.,
Cho, T.H.,
An Object-Detection Algorithm Based on the Region-Adjacency Graph,
PIEEE(72), 1984, pp. 985-986.
BibRef
8400
Chu, C.[Cecelia],
Yang, M.C.K.[Mark C. K.],
Invariant quantities in regression-induced boundaries under a special
linear transformation,
PR(20), No. 4, 1987, pp. 403-410.
WWW Version.
0309Find boundaries of ships in radar.
BibRef
Xu, J., and
Yang, Y.H.,
Generalized Multidimensional
Orthogonal Polynomials with Applications to Shape Analysis,
PAMI(12), No. 9, September 1990, pp. 906-913.
IEEE Abstract. IEEE Top Reference.
WWW Version. Contour descriptions in terms of orthogonal polynomials
(see e.g. Fourier), Occlusions?
BibRef
9009
Arkin, E.M.,
Chew, L.P.,
Huttenlocher, D.P.,
Kedem, K., and
Mitchell, J.S.B.,
An Efficiently Computable Metric for Comparing Polygonal Shapes,
PAMI(13), No. 3, March 1991, pp. 209-216.
IEEE Abstract. IEEE Top Reference.
WWW Version. Various global contour metrics and the effects of noise and variations.
BibRef
9103
Webster, R.W.,
LaFollette, P.S.,
Stafford, R.L.,
Isthmus Critical Points for Solving Jigsaw Puzzles in Computer Vision,
SMC(21), 1991, pp. 1271-1278.
BibRef
9100
Blumenkrans, A.,
Two-Dimensional Object Recognition Using a
Two-Dimensional Polar Transform,
PR(24), No. 9, 1991, pp. 879-890.
WWW Version.
BibRef
9100
Pizlo, Z., and
Rosenfeld, A.,
Recognition of Planar Shapes
from Perspective Images Using Contour-Based Invariants,
CVGIP(56), No. 3, November 1992, pp. 330-350.
WWW Version.
Invariants.
BibRef
9211
Bruckstein, A.M.,
Katzir, N.,
Lindenbaum, M., and
Proat, M.,
Similarity-Invariant Signatures for Partially Occluded Planar Shapes,
IJCV(7), No. 3, April 1992, pp. 271-285.
Generate signatures for matching --
locate an arbitrary number of points on a smooth curve, in a
similarity invariant way.
BibRef
9204
Bruckstein, A.M.[Alfred M.],
Holt, R.J.[Robert J.],
Netravali, A.N.[Arun N.],
Richardson, T.J.[Thomas J.],
Invariant Signatures for Planar Shape Recognition under
Partial Occlusion,
CVGIP(58), No. 1, July 1993, pp. 49-65.
WWW Version.
BibRef
9307
Earlier:
ICPR92(I:108-112).
WWW Version.
See also Using Line Correspondences in Invariant Signatures for Curve Recognition.
BibRef
Bruckstein, A.M.[Alfred M.],
Invariant Recognition and Processing of Planar Shapes,
VF01(3 ff.).
0209
BibRef
Holt, R.J.[Robert J.],
Netravali, A.N.[Arun N.],
Differential and Semi-differential Invariant Signature Functions
for Space Curve Recognition,
IJIST(5), No. 3, Fall 1994, pp. 189-198.
BibRef
9400
Holt, R.J., and
Netravali, A.N.,
Using Line Correspondences in Invariant Signatures
for Curve Recognition,
IVC(11), No. 7, September 1993, pp. 440-446.
WWW Version.
See also Invariant Signatures for Planar Shape Recognition under Partial Occlusion.
BibRef
9309
Bruckstein, A.M.,
Netravali, A.N.,
ORE Differential Invariants of Planar Curves and
Recognizing Partially Occluded Planar Shapes,
AMAI(13), No. 3-4, 1995, pp. 227-250.
BibRef
9500
Bruckstein, A.M., and
Netravali, A.N.,
Differential Invariants of Planar Curves and Recognizing
Partially Occluded Shapes,
VF91(89-98).
Invariants under perspective and affine transformations.
BibRef
9100
Parui, S.K., and
Dutta Majumdar, D.,
A New Definition of Shape Similarity,
PRL(1), No. 1, 1982, pp. 37-42.
BibRef
8200
Parui, S.K., and
Dutta Majumdar, D.,
Shape Similarity Measures for Open Curves,
PRL(1), 1983, pp. 129-134.
BibRef
8300
Parui, S.K.,
Sarma, S.E., and
Dutta Majumdar, D.,
How to Discriminate Shapes Using the Shape Vector,
PRL(4), 1986, pp. 201-204.
BibRef
8600
Schwartz, J.T., and
Sharir, M.,
Identification of Partially Obscured Objects in Two and Three Dimensions
by Matching Noisy Characteristic Curves,
IJRR(6), No. 2, 1987, pp. 29-44.
Partial Curves. 2-D curves in a plane.
BibRef
8700
Bastuscheck, C.M.,
Schonberg, E.,
Schwartz, J.T.,
Sharir, M.,
Object Recognition by Three-Dimensional Curve Matching,
IJIS(1), 1986, pp. 105-132.
BibRef
8600
Kalvin, A.,
Schonberg, E.,
Schwartz, J.T., and
Sharir, M.[Micha],
Two-Dimensional Model-Based, Boundary Matching Using Footprints,
IJRR(5), No. 4, Winter 1986, pp. 38-55.
Matching based on curve segments. Works on partial curves.
BibRef
8600
Barequet, G.[Gill],
Sharir, M.[Micha],
Partial Surface and Volume Matching in Three Dimensions,
PAMI(19), No. 9, September 1997, pp. 929-948.
IEEE Abstract. IEEE Top Reference.
WWW Version.
9710
BibRef
Earlier:
ICPR94(B:610-614).
WWW Version. Rotate one object (each represented as the set of points)
and find the translation to find the best fit.
BibRef
Barequet, G.[Gill],
Using geometric hashing to repair CAD objects,
CalSE(4), No. 4, October 1997, pp. 22-28.
BibRef
9710
Das, M.,
Paulik, M.J., and
Loh, N.K.,
A Bivariate Autoregressive Modeling Technique for Analysis
and Classification of Planar Shapes,
PAMI(12), No. 1, January 1990, pp. 97-103.
IEEE Abstract. IEEE Top Reference.
WWW Version.
BibRef
9001
Rosin, P.L.[Paul L.],
Multiscale Representation and Matching of Curves Using Codons,
GMIP(55), No. 4, July 1993, pp. 286-yy.
BibRef
9307
Åström, K.,
Fundamental Limitations On Projective Invariants Of Planar Curves,
PAMI(17), No. 1, January 1995, pp. 77-81.
IEEE Abstract. IEEE Top Reference.
WWW Version.
Evaluation, Invariants. All curves map arbitrarily close to a circle by projective
transformations
BibRef
9501
Moons, T.,
Pauwels, E.J.,
Van Gool, L.J.,
Oosterlinck, A.,
Foundations Of Semi-Differential Invariants,
IJCV(14), No. 1, January 1995, pp. 25-47.
See also Recognition Of Planar Shapes Under Affine Distortion.
BibRef
9501
Van Gool, L.J.,
Kempenaers, P., and
Oosterlinck, A.,
Recognition and Semi-Differential Invariants,
CVPR91(454-460). Mostly 2-D shapes.
IEEE Abstract. IEEE Top Reference.
BibRef
9100
Garcia, J.A.,
Fdez-Valdivia, J.,
Molina, R.,
A Method for Invariant Pattern-Recognition Using the
Scale-Vector Representation of Planar Curves,
SP(43), No. 1, April 1995, pp. 39-53.
BibRef
9504
Garcia, J.A.,
Fdez-Valdivia, J.,
Representing Planar Curves by Using a Scale Vector,
PRL(15), No. 9, September 1994, pp. 937-942.
BibRef
9409
Garcia, J.A.,
Fdez-Valdivia, J.,
Garrido, A.,
A Scale-Vector Approach For Edge-Detection,
PRL(16), No. 6, June 1995, pp. 637-646.
BibRef
9506
Fdez-Valdivia, J.,
Garcia, J.A.,
Molina, R.,
de la Blanca, N.P.[N. Perez],
A New Approach to 2D Shapes Characterization,
SCIA95(XX-YY).
BibRef
9500
Hong, D.Z.,
Sarkodiegyan, T.,
Campbell, A.W.,
Yan, Y.,
A Prototype Indexing Approach to 2-D Object Description and Recognition,
PR(31), No. 6, June 1998, pp. 699-725.
WWW Version.
9806
BibRef
Heijmans, H.J.A.M.[Henk J.A.M.],
Tuzikov, A.V.[Alexander V.],
Similarity and Symmetry Measures for Convex Shapes
Using Minkowski Addition,
PAMI(20), No. 9, September 1998, pp. 980-993.
IEEE Abstract. IEEE Top Reference.
WWW Version.
9809
BibRef
Earlier: A2, A1:
Comparing convex shapes using Minkowski addition,
CAIP97(138-145).
WWW Version.
9709Use region based measures. Invariance under most viewing
changes is possible.
BibRef
Tuzikov, A.V.[Alexander V.],
Roerdink, J.B.T.M.[Jos B.T.M.],
Heijmans, H.J.A.M.[Henk J.A.M.],
Similarity measures for convex polyhedra based on Minkowski addition,
PR(33), No. 6, June 2000, pp. 979-995.
WWW Version.
0004
BibRef
Tarel, J.P.[Jean-Philippe],
Cooper, D.B.[David B.],
The Complex Representation of Algebraic Curves and Its Simple
Exploitation for Pose Estimation and Invariant Recognition,
PAMI(22), No. 7, July 2000, pp. 663-674.
IEEE Abstract. IEEE Top Reference.
WWW Version. Abstract:
And Full paper:
HTML Version.
Postscript Version.
0008
BibRef
Tarel, J.P.[Jean-Philippe],
Cooper, D.B.[David B.],
A New Complex Basis for Implicit Polynomial Curves and its
Simple Exploitation for Pose Estimation and Invariant Recognition,
CVPR98(111-117).
IEEE Abstract. IEEE Top Reference.
HTML Version. And:
Postscript Version.
BibRef
9800
Tarel, J.P.[Jean-Philippe],
Wolovich, W.A.[William A.],
Cooper, D.B.[David B.],
Covariant-Conics Decomposition of Quartics for 2D Shape Recognition and
Alignment,
JMIV(19), No. 3, November 2003, pp. 255-273.
WWW Version.
0310
BibRef
Earlier:
Covariant Conics Decomposition of Quartics for 2D Object
Recognition and Affine Alignment,
ICIP98(II: 818-822).
WWW Version.
9810
HTML Version.
Postscript Version.
BibRef
Khalil, M.I.[Mahmoud I.],
Bayoumi, M.M.[Mohamed M.],
A Dyadic Wavelet Affine Invariant Function for 2D Shape Recognition,
PAMI(23), No. 10, October 2001, pp. 1152-1164.
IEEE Abstract. IEEE Top Reference.
WWW Version.
0110First derive an invariant using 2 dyadic levels, use this to derive
another with 6 dyadic levels.
BibRef
Sánchez, G.[Gemma],
Lladós, J.[Josep],
Tombre, K.[Karl],
A mean string algorithm to compute the average among a set of 2D shapes,
PRL(23), No. 1-3, January 2002, pp. 203-213.
HTML Version.
0201
BibRef
Tagare, H.D.[Hemant D.],
O'Shea, D.[Donal],
Groisser, D.[David],
Non-Rigid Shape Comparison of Plane Curves in Images,
JMIV(16), No. 1, January 2002, pp. 57-68.
WWW Version.
0202
BibRef
Zheng, X.Q.[Xi-Qiang],
Chen, Y.M.[Yun-Mei],
Groisser, D.[David],
Wilson, D.[David],
Some New Results on Non-rigid Correspondence and Classification of
Curves,
EMMCVPR05(473-489).
WWW Version.
0601
BibRef
Borkowski, J.,
Matuszewski, B.J.,
Mroczka, J.,
Shark, L.K.,
Geometric matching of circular features by least squares fitting,
PRL(23), No. 7, May 2002, pp. 885-894.
HTML Version.
0203
BibRef
Mustafa, A.A.Y.[Adnan A.Y.],
Fuzzy shape matching with boundary signatures,
PRL(23), No. 12, October 2002, pp. 1473-1482.
HTML Version.
0206
BibRef
Earlier:
Matching Incomplete Objects Using Boundary Signatures,
VF01(563 ff.).
HTML Version.
0209
BibRef
Tsang, P.W.M.,
Enhancement of a genetic algorithm for affine invariant planar object
shape matching using the migrant principle,
VISP(150), No. 2, April 2003, pp. 107-113.
IEEE Abstract. IEEE Top Reference.
0307
BibRef
da Fontoura Costa, L.[Luciano],
dos Reis, S.F.[Sérgio F.],
Arantes, R.A.T.[Renata A. T.],
Alves, A.C.R.[Ana C. R.],
Mutinari, G.[Gian_Carlo],
Biological shape analysis by digital curvature,
PR(37), No. 3, March 2004, pp. 515-524.
WWW Version.
0401The digital curvature provides invariance to translations, rotations,
local shape deformations, and is easily made tolerant to scaling.
BibRef
Bicego, M.[Manuele],
Murino, V.[Vittorio],
Investigating Hidden Markov Models Capabilities in
2D Shape Classification,
PAMI(26), No. 2, February 2004, pp. 281-286.
IEEE Abstract. IEEE Top Reference.
0402
BibRef
Earlier:
2D shape recognition by hidden Markov models,
CIAP01(20-24).
IEEE Top Reference.
0210HMM for classifing planar models.
BibRef
Zhu, Y.,
Colchester, A.C.F.,
Plane curve matching under affine transformations,
VISP(151), No. 1, February 2004, pp. 9-19.
IEEE Abstract. IEEE Top Reference.
0403Approximate projective transforms by affine. Use curve invariants. Refine
with ICP.
BibRef
Ha, V.H.S.,
Moura, J.M.F.,
Affine-Permutation Invariance of 2-D Shapes,
IP(14), No. 11, November 2005, pp. 1687-1700.
WWW Version.
0510Invariant to affine and permutations of feature points along the contours.
BibRef
Ghosh, A.[Anarta],
Petkov, N.[Nicolai],
Robustness of Shape Descriptors to Incomplete Contour Representations,
PAMI(27), No. 11, November 2005, pp. 1793-1804.
WWW Version.
0510Use Shape Context and distance multiset.
See also Distance sets for shape filters and shape recognition.
BibRef
Gavrila, D.M.[Dariu M.],
A Bayesian, Exemplar-Based Approach to Hierarchical Shape Matching,
PAMI(29), No. 8, August 2007, pp. 1408-1421.
WWW Version.
0707Pairwise measure between shapes.
BibRef
Sohel, F.A.[Ferdous A.],
Karmakar, G.C.[Gour C.],
Dooley, L.S.[Laurence S.],
Arkinstall, J.R.[John R.],
Quasi-Bezier curves integrating localised information,
PR(41), No. 2, February 2008, pp. 531-542.
WWW Version.
0711Vertex-based shape coding; Image processing; Video processing; Bezier curve
BibRef
Zuliani, M.,
Bertelli, L.,
Kenney, C.S.,
Chandrasekaran, S.,
Manjunath, B.S.,
Drums, curve descriptors and affine invariant region matching,
IVC(26), No. 3, 3 March 2008, pp. 347-360.
WWW Version.
0801Curve descriptors; Curve matching; Helmoholtz equation; Affine invariance
BibRef
Bertelli, L.[Luca],
Zuliani, M.[Marco],
Manjunath, B.S.,
Pairwise Similarities across Images for Multiple View Rigid/Non-Rigid
Segmentation and Registration,
ICCV07(1-8).
WWW Version.
0710
BibRef
Zuliani, M.,
Kenney, C.S.,
Bhagavathy, S.,
Manjunath, B.S.,
Drums and Curve Descriptors,
BMVC04(xx-yy).
HTML Version.
0508based on the solution of Helmholtz's equation.
Satisfies MPEG7 constraints.
BibRef
Giannarou, S.[Stamatia],
Stathaki, T.[Tania],
Shape Signature Matching for Object Identification Invariant to Image
Transformations and Occlusion,
CAIP07(710-717).
WWW Version.
0708
BibRef
Joshi, S.H.[Shantanu H.],
Klassen, E.[Eric],
Srivastava, A.[Anuj],
Jermyn, I.[Ian],
Removing Shape-Preserving Transformations in Square-Root Elastic (SRE)
Framework for Shape Analysis of Curves,
EMMCVPR07(387-398).
WWW Version.
0708
BibRef
Rusiñol, M.[Marçal],
Dosch, P.[Philippe],
Lladós, J.[Josep],
Boundary Shape Recognition Using Accumulated Length and Angle
Information,
IbPRIA07(II: 210-217).
WWW Version.
0706
BibRef
Xiao, P.[Pengdong],
Barnes, N.[Nick],
Caetano, T.S.[Tiberio S.],
Lieby, P.[Paulette],
An MRF and Gaussian Curvature Based Shape Representation for Shape
Matching,
MultiView07(1-7).
WWW Version.
0706
BibRef
Lopez-de-Teruel, P.E.,
Ruiz, A.,
Fernandez, L.,
Efficient Monocular 3D Reconstruction from Segments for Visual
Navigation in Structured Environments,
ICPR06(I: 143-146).
WWW Version.
0609
BibRef
Ruiz, A.[Alberto],
López de Teruel, P.E.[Pedro E.],
Fernández, L.[Lorenzo],
Robust Homography Estimation from Planar Contours Based on Convexity,
ECCV06(I: 107-120).
WWW Version.
0608Standard projective constraints subject to large variations.
Based on convexity properties.
BibRef
Lee, S.M.[Sang-Mook],
Abbott, A.L.[A. Lynn],
Clark, N.A.[Neil A.],
Araman, P.A.[Philip A.],
A Shape Representation for Planar Curves by Shape Signature Harmonic
Embedding,
CVPR06(II: 1940-1947).
WWW Version.
0606
BibRef
Shah, R.[Ronak],
Mishra, A.[Anima],
Rakshit, S.[Subrata],
Robust Occluded Shape Recognition,
ACCV06(I:847-857).
WWW Version.
0601
BibRef
Angelopoulou, A.[Anastassia],
Psarrou, A.[Alexandra],
Gupta, G.[Gaurav],
García-Rodríguez, J.[José],
Nonparametric Modelling and Tracking with Active-GNG,
CVHCI07(98-107).
WWW Version.
0710
BibRef
And:
Robust Modelling and Tracking of NonRigid Objects Using Active-GNG,
NRTL07(1-7).
WWW Version.
0710
BibRef
Angelopoulou, A.[Anastassia],
Rodríguez, J.G.[José García],
Psarrou, A.[Alexandra],
Learning 2D Hand Shapes Using the Topology Preservation Model GNG,
ECCV06(I: 313-324).
WWW Version.
0608
BibRef
Rodríguez, J.G.[José García],
Angelopoulou, A.[Anastassia],
Psarrou, A.[Alexandra],
Revett, K.[Kenneth],
Automatically Building 2D Statistical Shapes Using the Topology
Preservation Model GNG,
ACCV06(I:519-528).
WWW Version.
0601
BibRef
Bhalerao, A.H.[Abhir H.],
Wilson, R.[Roland],
Local Shape Modelling Using Warplets,
SCIA05(439-448).
WWW Version.
0506
BibRef
Loss, L.A.[Leandro A.],
Tozzi, C.L.[Clésio L.],
Discrimination of Natural Contours by Means of Time-Scale-Frequency
Decompositions,
ISVC05(684-689).
WWW Version.
0512
BibRef
Thakoor, N.[Ninad],
Gao, J.[Jean],
Shape Classifer Based on Generalized Probabilistic Descent Method with
Hidden Markov Descriptor,
ICCV05(I: 495-502).
WWW Version.
0510
BibRef
Sun, K.B.[Kang B.],
Super, B.J.[Boaz J.],
Classification of Contour Shapes Using Class Segment Sets,
CVPR05(II: 727-733).
WWW Version.
0507
BibRef
Dionisio, C.R.P.,
Kim, H.Y.[Hae Yong],
New features for affine-invariant shape classification,
ICIP04(IV: 2135-2138).
WWW Version.
0505
BibRef
Yu, L.[Liangyin],
Dyer, C.R.[Charles R.],
Perception-Based 2D Shape Modeling by Curvature Shaping,
VF01(272 ff.).
HTML Version.
0209
BibRef
Kyrki, V.,
Kamarainen, J.K.,
Kalviainen, H.,
Invariant Shape Recognition using Global Gabor Features,
SCIA01(O-Tu2).
0206
BibRef
Lazebnik, S.[Svetlana],
Sethi, A.[Amit],
Schmid, C.[Cordelia],
Kriegman, D.J.[David J.],
Ponce, J.[Jean],
Hebert, M.[Martial],
On Pencils of Tangent Planes and the Recognition of Smooth 3D Shapes
from Silhouettes,
ECCV02(III: 651 ff.).
HTML Version.
Postscript Version.
0205Define a signature.
BibRef
Ramakrishnan, S.,
Forte, P.,
MDL based Structural Interpretation of Images under Partial Occlusion,
BMVC01(Poster Session 2. and Demonstrations).
HTML Version. Kingston University
0110
BibRef
Ma, J.B.[Jian-Bo],
Ahuja, N.[Narendra],
Region Correspondence by Global Configuration Matching and Progressive
Delaunay Triangulation,
CVPR00(II: 637-642).
IEEE Abstract. IEEE Top Reference.
WWW Version.
0005
BibRef
Krumm, J.[John],
Eigenfeatures for Planar Pose Measurement of Partially Occluded Objects,
CVPR96(55-60).
IEEE Abstract. IEEE Top Reference.
WWW Version. Use extracted features of the contour.
BibRef
9600
Xia, F.,
Invariant property of contour: VPIUD with arbitrary neighbourhood,
ICIP95(II: 651-654).
WWW Version.
9510
BibRef
Legrand, L.,
Khalil, K.,
Dipanda, A.,
Representing plane closed curves with Hartley descriptors,
ICIP95(III: 344-347).
WWW Version.
9510
BibRef
Hanmandlu, M.,
Shantaram, V.,
Signature Based Recognition Of 2-D Occluded Objects,
ICPR92(I:595-598).
WWW Version.
BibRef
9200
Al-Mohamad, H.A.,
3D shape classification using the R-transform,
ICPR90(I: 749-754).
WWW Version.
9006
BibRef
Eom, K.B.,
Park, J.,
Recognition of shapes by statistical modeling of centroidal profile,
ICPR90(I: 860-864).
WWW Version.
9006
BibRef
Hong, J.,
Wolfson, H.J.,
An Improved Model-Based Matching Method Using Footprints,
ICPR88(I: 72-78).
WWW Version.
IEEE Top Reference.
BibRef
8800
Chapter on Registration, Matching and Recognition Using Points, Lines, Regions, Areas, Surfaces continues in
2-D Contour Matching, Indexing or Hashing Techniques .