13.1.2.6 Affine Invariants

Chapter Contents (Back)
Matching, Regions. Invariants, Affine. Affine Invariance.

Snapper, E., Troyer, R.,
Metric Affine Geometry,
Academic Press1971. BibRef 7100

Gotsman, C.,
On the Most Robust Affine Basis,
PRL(14), 1993, pp. 647-650. BibRef 9300

Flusser, J.[Jan], Suk, T.[Tomáš],
Pattern Recognition by Affine Moment Invariants,
PR(26), No. 1, January 1993, pp. 167-174.
Elsevier DOI
See also Recognition of Blurred Images by the Method of Moments.
See also Projective Moment Invariants.
See also Point-based projective invariants. BibRef 9301

Flusser, J., Suk, T.,
A moment-based approach to registration of images with affine geometric distortion,
GeoRS(32), No. 2, March 1994, pp. 382-387.
IEEE DOI BibRef 9403

Flusser, J.[Jan], Suk, T.[Tomás],
Moment Invariants for Recognizing Symmetric Objects,
CAIP05(9).
Springer DOI 0509
BibRef

Suk, T.[Tomáš], Flusser, J.[Jan],
Affine Moment Invariants of Color Images,
CAIP09(334-341).
Springer DOI 0909
BibRef

Suk, T.[Tomáš], Flusser, J.[Jan],
Tensor Method for Constructing 3D Moment Invariants,
CAIP11(II: 212-219).
Springer DOI 1109
BibRef

Suk, T.[Tomás], Flusser, J.[Jan],
Combined blur and affine moment invariants and their use in pattern recognition,
PR(36), No. 12, December 2003, pp. 2895-2907.
Elsevier DOI 0310
BibRef
Earlier:
Blur and affine moment invariants,
ICPR02(IV: 339-342).
IEEE DOI 0211
BibRef

Suk, T.[Tomás], Flusser, J.[Jan],
Features Invariant Simultaneously to Convolution and Affine Transformation,
CAIP01(183 ff.).
Springer DOI 0210
BibRef

Suk, T.[Tomáš],
The Proof of Completeness of the Graph Method for Generation of Affine Moment Invariants,
ICIAR10(I: 157-166).
Springer DOI 1006
BibRef

Flusser, J.,
Affine invariants of convex polygons,
IP(11), No. 9, September 2002, pp. 1117-1118.
IEEE DOI 0210
BibRef

Sapiro, G., and Tannenbaum, A.,
Affine Invariant Scale-Space,
IJCV(11), No. 1, August 1993, pp. 25-44.
Springer DOI
See also Area and Length Preserving Geometric Invariant Scale-Spaces. BibRef 9308

Rivlin, E., and Weiss, I.,
Local Invariants for Recognition,
PAMI(17), No. 3, March 1995, pp. 226-238.
IEEE DOI BibRef 9503
Earlier:
Semi-Local Invariants,
CVPR93(697-698).
IEEE DOI BibRef
And:
Recognition with Local and Semi-Local Invariants,
DARPA93(789-800). Local affine invariants. BibRef

Rivlin, E., Weiss, I.,
Deformation Invariants in Object Recognition,
CVIU(65), No. 1, January 1997, pp. 95-108.
DOI Link 9702
BibRef

Weiss, I.,
Local Projective and Affine Invariants,
AMAI(13), No. 3-4, 1995, pp. 203-225. BibRef 9500

Werman, M., Weinshall, D.,
Similarity and Affine Invariant Distances between 2D Point Sets,
PAMI(17), No. 8, August 1995, pp. 810-814.
IEEE DOI BibRef 9508
Earlier:
Similarity and Affine Distance Between 2D Point Sets,
ICPR94(A:723-725).
IEEE DOI Affine template match to assign points. Matching 3D objects with 2D affine invariance. BibRef

Cyganski, D.[David], Vaz, R.F.[Richard F.],
A Linear Signal Decomposition Approach to Affine Invariant Contour Identification,
PR(28), No. 12, December 1995, pp. 1845-1853. BibRef 9512
Earlier:
Elsevier DOI SPIE(1607), 1991, pp. 98-109. BibRef

Vaz, R.F.[Richard F.], Cyganski, D.[David],
Generation of Affine Invariant Local Contour Feature Data,
PRL(11), 1990, pp. 479-483. BibRef 9000
Earlier:
3-D Object Orientation from Partial Contour Feature Data,
SPIE(1349), 1990, pp. 452-459. BibRef

Cyganski, D., Orr, J.A., Cott, T.A., Dodson, R.J.,
Development, Implementation, Testing, and Application of an Affine Transform Invariant Curvature Function,
ICCV87(496-500). BibRef 8700

Cheng, Y.,
Analysis of Affine Invariants as Approximate Perspective Invariants,
CVIU(63), No. 2, March 1996, pp. 197-207.
DOI Link BibRef 9603

Bose, S.K., Biswas, K.K., Gupta, S.K.,
Model-Based Object Recognition: The Role of Affine Invariants,
AIEng(10), No. 3, August 1996, pp. 227-234. 9606
BibRef

Hanmandlu, M., Rangaiah, C., Biswas, K.K.,
Quadrics-Based Matching Technique for 3D Object Recognition,
IVC(10), No. 9, November 1992, pp. 578-588.
Elsevier DOI BibRef 9211

Huang, Z.H., Cohen, F.S.,
Affine-Invariant B-Spline Moments For Curve Matching,
IP(5), No. 10, October 1996, pp. 1473-1480.
IEEE DOI 9610
BibRef
Earlier:
Affine-Invariant B-Spline Weighted Moments for Object Recognition from Image Curves,
CVPR94(490-495).
IEEE DOI BibRef
And:
Affine-Invariant Moments and B-Splines for Object Recognition from Image Curves,
SPIE(1964), 1993, pp. 2-12. BibRef

Angelopoulou, E.[Elli], Williams, J.P.[James P.], Wolff, L.B.[Lawrence B.],
Curvature Based Signatures for Object Description and Recognition,
ORCV96(109). 9611
BibRef
Earlier: ARPA96(973-980). BibRef

Sato, J.[Jun], Cipolla, R.[Roberto],
Affine Integral Invariants For Extracting Symmetry Axes,
IVC(15), No. 8, August 1997, pp. 627-635.
Elsevier DOI 9708
BibRef
Earlier: BMVC96(Shape). 9608
University of Cambridge BibRef

Sato, J., Cipolla, R.,
Quasi-Invariant Parameterisations and Matching of Curves in Images,
IJCV(28), No. 2, June/July 1998, pp. 117-136.
DOI Link
HTML Version.
PS File. 9808
BibRef
Earlier:
Affine Integral Invariants and Matching of Curves,
ICPR96(I: 915-919).
IEEE DOI 9608
(Univ. of Cambridge, UK) BibRef

Ben-Arie, J., Wang, Z.Q.,
Pictorial Recognition of Objects Employing Affine Invariance in the Frequency-Domain,
PAMI(20), No. 6, June 1998, pp. 604-618.
IEEE DOI 9807
BibRef
Earlier:
Pictorial Recognition Using Affine-Invariant Spectral Signatures,
CVPR97(34-39).
IEEE DOI 9704
Set of kernels. SVD set slant and tilt decomposition.
See also Volumetric/Iconic Frequency-Domain Representation for Objects with Application for Pose Invariant Face Recognition, A. and
See also Detection and segmentation of generic shapes based on affine modeling of energy in Eigenspace. BibRef

Ben-Arie, J., Wang, Z., Rao, K.R.[K. Raghunath],
Iconic Recognition with Affine-Invariant Spectral Signatures,
ICPR96(I: 672-676).
IEEE DOI 9608
BibRef
And:
Iconic Representation and Recognition Using Affine-Invariant Spectral Signatures,
ARPA96(1277-1286). (Univ. of Illinois, USA) The AISS 2-D signature match used for the others. BibRef

Krtolica, R.V.[Radovan V.],
Similarity determination among patterns using affine-invariant features,
US_Patent5,719,959, 02/17/1998.
HTML Version. BibRef 9802

van den Boomgaard, R.[Rein],
Affine invariant deformation curves a tool for shape characterization,
IVC(17), No. 5/6, April 1999, pp. 375-380.
Elsevier DOI Combine morphological deformation curves and affine invariant evolution processes. BibRef 9904

Hagedoorn, M.[Michiel], Veltkamp, R.C.[Remco C.],
Reliable and Efficient Pattern Matching Using an Affine Invariant Metric,
IJCV(31), No. 2/3, April 1999, pp. 203-225.
DOI Link BibRef 9904

Hagedoorn, M., Veltkamp, R.C.,
A Robust Affine Invariant Metric on Boundary Patterns,
PRAI(13), No. 8, December 1999, pp. 1151. 0005
BibRef

Zhang, Y.N.[Ya-Ni], Wen, C.Y.[Chang-Yun], Zhang, Y.[Ying], Soh, Y.C.[Yeng Chai],
Determination of blur and affine combined invariants by normalization,
PR(35), No. 1, January 2002, pp. 211-221.
Elsevier DOI 0111
BibRef

Zhang, Y.N.[Ya-Ni], Wen, C.Y.[Chang-Yun], Zhang, Y.[Ying], Soh, Y.C.[Yeng Chai],
On the choice of consistent canonical form during moment normalization,
PRL(24), No. 16, December 2003, pp. 3205-3215.
Elsevier DOI 0310
BibRef

Zhang, J.G.[Jian-Guo], Tan, T.N.[Tie-Niu],
Affine invariant classification and retrieval of texture images,
PR(36), No. 3, March 2003, pp. 657-664.
Elsevier DOI 0301
BibRef

Rahtu, E.[Esa], Salo, M.[Mikko], Heikkila, J.[Janne],
Affine Invariant Pattern Recognition Using Multiscale Autoconvolution,
PAMI(27), No. 6, June 2005, pp. 908-918.
IEEE Abstract. 0505
BibRef
Earlier: ICPR04(I: 692-695).
IEEE DOI 0409

See also New Convexity Measure Based on a Probabilistic Interpretation of Images, A.
See also Nonlinear Functionals in the Construction of Multiscale Affine Invariants. BibRef

Rahtu, E.[Esa], Salo, M.[Mikko], Heikkila, J.[Janne],
Compressing Sparse Feature Vectors Using Random Ortho-Projections,
ICPR10(1397-1400).
IEEE DOI 1008
BibRef
And:
A New Affine Invariant Image Transform Based on Ridgelets,
BMVC06(III:1039).
PDF File. 0609
BibRef
And:
Multiscale Autoconvolution Histograms for Affine Invariant Pattern Recognition,
BMVC06(III:1059).
PDF File. 0609
BibRef

Rahtu, E.[Esa], Salo, M.[Mikko], Heikkilä, J.[Janne], Flusser, J.[Jan],
Generalized affine moment invariants for object recogn,
ICPR06(II: 634-637).
IEEE DOI 0609
BibRef

Rahtu, E.[Esa], Kannala, J.H.[Ju-Ho], Salo, M.[Mikko], Heikkilä, J.[Janne],
Segmenting Salient Objects from Images and Videos,
ECCV10(V: 366-379).
Springer DOI 1009
BibRef

Kannala, J.H.[Ju-Ho], Rahtu, E.[Esa], Brandt, S.S.[Sami S.], Heikkilä, J.[Janne],
Dense and Deformable Motion Segmentation for Wide Baseline Images,
SCIA09(379-389).
Springer DOI 0906
BibRef

Kannala, J.H., Rahtu, E., Heikkila, J.,
Affine Registration with Multi-Scale Autoconvolution,
ICIP05(III: 1064-1067).
IEEE DOI 0512
BibRef

Kannala, J.H.[Ju-Ho], Rahtu, E.[Esa], Heikkilä, J.[Janne], Salo, M.[Mikko],
A New Method for Affine Registration of Images and Point Sets,
SCIA05(224-234).
Springer DOI 0506
BibRef

Rahtu, E., Heikkila, J.,
Object classification with multi-scale autoconvolution,
ICPR04(III: 37-40).
IEEE DOI 0409
BibRef

Heikkila, J.,
Multi-scale autoconvolution for affine invariant pattern recognition,
ICPR02(I: 119-122).
IEEE DOI 0211
BibRef

Rahtu, E.[Esa], Salo, M.[Mikko], Heikkilä, J.[Janne],
Nonlinear Functionals in the Construction of Multiscale Affine Invariants,
SCIA07(482-491).
Springer DOI 0706
BibRef
Earlier:
A New Efficient Method for Producing Global Affine Invariants,
CIAP05(407-414).
Springer DOI 0509

See also Affine Invariant Pattern Recognition Using Multiscale Autoconvolution. BibRef

Tripathy, S.[Soumya], Kannala, J.H.[Ju-Ho], Rahtu, E.[Esa],
Learning Image-to-Image Translation Using Paired and Unpaired Training Samples,
ACCV18(II:51-66).
Springer DOI 1906
BibRef

Lin, W.S.[Wei-Song], Fang, C.H.[Chun-Hsiung],
Synthesized affine invariant function for 2D shape recognition,
PR(40), No. 7, July 2007, pp. 1921-1928.
Elsevier DOI 0704
Affine invariant function; Shape recognition; Wavelet transform; Synthesized feature signal; Weighted wavelet synthesis BibRef

Lin, W.S.[Wei-Song], Fang, C.H.[Chun-Hsiung],
Lossless parameterisation of image contour for shape recognition,
IET-CV(3), No. 1, March 2009, pp. 36-46.
DOI Link 0905
BibRef


Sara, R.[Radim], Matousek, M.[Martin],
FAIR: Towards A New Feature for Affinely-Invariant Recognition,
ICPR06(II: 412-416).
IEEE DOI 0609
BibRef

Yang, R.[Richard], Gao, Y.S.[Yong-Sheng],
Line-Based Affine Invariant Object Location Using Transformation Space Decomposition,
ICPR06(II: 646-649).
IEEE DOI 0609
BibRef

Begelfor, E.[Evgeni], Werman, M.[Michael],
Affine Invariance Revisited,
CVPR06(II: 2087-2094).
IEEE DOI 0606
BibRef

Ravela, S.,
Shaping receptive fields for affine invariance,
CVPR04(II: 725-730).
IEEE DOI 0408
BibRef

Quan, L.[Long], Ohta, Y.[Yuichi], Mohr, R.[Roger],
Geometry of Multiple Affine Views,
SMILE98(xx-yy). BibRef 9800

Rigoutsos, I.[Isidore],
Well-behaved, Tunable 3D Affine Invariants,
CVPR98(455-460).
IEEE DOI BibRef 9800

Leung, T.[Thomas], Burl, M.[Michael], Perona, P.[Pietro],
Probabilistic Affine Invariants for Recognition,
CVPR98(678-684).
IEEE DOI BibRef 9800

Liu, Z.L.[Zi-Li], and Kersten, D.[Daniel],
2D Affine Transformations Cannot Account for Human 3D Object Recognition,
ICCV98(549-554).
IEEE DOI BibRef 9800

Giblin, P.J., and Sapiro, G.,
Affine Invariant Medial Axis and Skew Symmetry,
ICCV98(833-838).
IEEE DOI BibRef 9800

Hong, J., Tan, X.,
Recognize the Similarity Between Shapes Under Affine Transformation,
ICCV88(489-493).
IEEE DOI BibRef 8800

Walcott, P.A.,
Object Recognition Using Colour, Shape and Affine Invariant Ratios,
BMVC96(Poster Session 1). 9608
City University BibRef

Schiller, R.,
Normalization by Optimization,
ECCV96(I:620-629).
Springer DOI BibRef 9600

Cohignac, T., Lopez, C., Morel, J.M.,
Integral and Local Affine Invariant Parameter and Application to Shape Recognition,
ICPR94(A:164-168).
IEEE DOI BibRef 9400

Li, S.Z.,
Similarity Invariants for 3D Space Curve Matching,
ACCV93(454-457). BibRef 9300

Glauser, T., Bunke, H.,
Edge Length Ratios: An Affine Invariant Shape Representation for Recognition with Occlusions,
ICPR92(I:437-440).
IEEE DOI BibRef 9200

Jin, Q., Yan, P.,
A New Method of Extracting Invariants under Affine Transform,
ICPR92(I:742-745).
IEEE DOI BibRef 9200

Vinther, S., Cipolla, R.,
Active 3D Object Recognition Using 3D Affine Invariants,
ECCV94(B:15-24).
Springer DOI BibRef 9400
Earlier:
Towards 3D Object Model Acquisition and Recognition Using 3D Affine Invariants,
BMVC93(369-378).
PDF File.
HTML Version.
PS File. BibRef

Ĺström, K.[Kalle],
Multilinear Constraints in Two-dimensional Vision and Isogonal Conjugacy,
SSAB96(xx). BibRef 9600

Ĺström, K.[Kalle],
Affine and Projective Normalization of Planar Curves and Regions,
ECCV94(B:438-448).
Springer DOI BibRef 9400

Oh, W.G., Asada, M., Tsuji, S.,
Model-Based Matching Using Skewed Symmetry Information,
ICPR88(II: 1043-1045).
IEEE DOI BibRef 8800

Chapter on Matching and Recognition Using Volumes, High Level Vision Techniques, Invariants continues in
Invariance Papers -- Mundy .


Last update:Mar 16, 2024 at 20:36:19