13.1.2.3 Invariants, Lines, Curves

Chapter Contents (Back)
Matching, Lines. Invariants, Lines.

Simon, J.C.,
Invariance in Pattern Recognition: Application to Line Images,
IVC(4), No. 1, February 1986, pp. 11-24.
WWW Link. BibRef 8602

Brill, M.H., Barrett, E.B., Payton, P.M.,
Projective Invariants for Curves in Two and Three Dimensions,
GICV92(193-214), Chapter 9. Several semi-differential invariants are developed for curves in 2-D and 3-D. BibRef 9200

Moons, T.[Theo], Pauwels, E.J.[Eric J.], Van Gool, L.J.[Luc J.], Brill, M.H.[Michael H.], and Barrett, E.B.[Eamon B.],
Recognizing 3-D Curves from a Stereo Pair of Images: A Semi-differential Approach,
MDSG94(433-442). BibRef 9400

Van Gool, L.J., Brill, M.H., Barrett, E.B., Moons, T., Pauwels, E.J.,
Semi-Differential Invariants for Nonplanar Curves,
GICV92(293-309). Chapter 15. BibRef 9200

Carlsson, S., Mohr, R., Moons, T., Morin, L., Rothwell, C.A., van Diest, M., Van Gool, L.J., Veillon, F., Zisserman, A.,
Semilocal Projective Invariants for the Recognition of Smooth Plane-Curves,
IJCV(19), No. 3, August 1996, pp. 211-236.
Springer DOI Evaluate several semi-local methods using the same images and edge data.
PS File. BibRef 9608

van Diest, M., Van Gool, L.J., Moons, T., Pauwels, E.J.,
Projective Invariants for Planar Contour Recognition,
ECCV94(A:527-534).
Springer DOI BibRef 9400

Weiss, I.,
Noise Resistant Invariants of Curves,
PAMI(15), No. 9, September 1993, pp. 943-948.
IEEE DOI BibRef 9309
Earlier:
Noise Resistant Projective and Affine Invariants,
CVPR92(115-121).
IEEE DOI BibRef
And: DARPA92(683-692). BibRef

Weiss, I.,
Differential invariants without derivatives,
ICPR92(III:394-398).
IEEE DOI 9208
BibRef

Lin, C.S., Jungthirapanich, C.,
Invariants of Three-Dimensional Contours,
PR(23), No. 8, 1990, pp. 833-842.
WWW Link. BibRef 9000
Earlier: CVPR88(286-290).
IEEE DOI BibRef

Bebis, G.N., Papadourakis, G.M.,
Object Recognition Using Invariant Object Boundary Representations and Neural Network Models,
PR(25), No. 1, January 1992, pp. 25-44.
WWW Link. BibRef 9201

Hartley, R.I.,
Projective Reconstruction and Invariants from Multiple Images,
PAMI(16), No. 10, October 1994, pp. 1036-1041.
IEEE DOI
PDF File. BibRef 9410
Earlier:
Projective Reconstruction from Line Correspondences,
CVPR94(903-907).
IEEE DOI
PDF File. BibRef

Hartley, R.I.,
Euclidean Reconstruction from Uncalibrated Views,
CVPR94(908-912).
IEEE DOI
PDF File. BibRef 9400
And: AICV94(237-256).
PDF File. BibRef

Hartley, R.I.[Richard I.], Kahl, F.[Fredrik],
Critical Configurations for Projective Reconstruction from Multiple Views,
IJCV(71), No. 1, January 2007, pp. 5-47.
Springer DOI 0609
BibRef
Earlier:
A Critical Configuration for Reconstruction from Rectilinear Motion,
CVPR03(I: 511-517).
IEEE DOI 0307
configuration consisting of any number of cameras lying on a straight line, and any number of points lying on a twisted cubic constitutes a critical configuration. See also Critical Curves and Surfaces for Euclidean Reconstruction. BibRef

Hartley, R.I.,
Ambiguous Configurations for 3-View Projective Reconstruction,
ECCV00(I: 922-935).
Springer DOI
PDF File. 0003
BibRef

Hartley, R.I.,
Lines and Points in Three Views and the Trifocal Tensor,
IJCV(22), No. 2, March 1997, pp. 125-140.
DOI Link 9706
BibRef
And:
Lines and Points in Three Views: An Integrated Approach,
TRGE CRD, 1994. BibRef

Hartley, R.I.,
Computation of the quadrifocal tensor,
ECCV98(I: 20).
Springer DOI
PDF File. BibRef 9800

Hartley, R.I.[Richard I.],
Lines and Points in Three Views: A Unified Approach,
ARPA94(II:1009-1016). BibRef 9400

Hartley, R.I.[Richard I.],
A Linear Method for Reconstruction from Lines and Points,
ICCV95(882-887).
IEEE DOI BibRef 9500

Hartley, R.I.,
Invariants of Lines in Space,
DARPA93(737-744).
PDF File. Four lines in 3-D, projective invariants. BibRef 9300

Hartley, R.I.,
Chirality,
IJCV(26), No. 1, January 1998, pp. 41-61.
DOI Link 9804
BibRef

Hartley, R.I.,
Cheirality Invariants,
DARPA93(745-753). Sets of points in 3-D. BibRef 9300

Lamiroy, B., Picard, S., Gros, P.,
Combining Local Recognition Methods for Better Recognition,
BMVC00(xx-yy).
PDF File. 0009
BibRef

Lamiroy, B., Gros, P.,
Rapid Object Indexing and Recognition Using Enhanced Geometric Hashing,
ECCV96(I:59-70).
Springer DOI Enhance hashing with topological information. BibRef 9600

Gros, P.[Patrick],
Using quasi-invariants for automatic model building and object recognition: An overview,
ORCV94(65-76).
Springer DOI 9412
BibRef

Quan, L.[Long],
Algebraic and Geometric Invariant of a Pair of Non-Coplanar Conics in Space,
JMIV(5), No. 3, September 1995, pp. 263-267. BibRef 9509
And:
Invariant of a Pair of Non-Coplanar Conics in Space: Definition, Geometric Interpretation and Computation,
ICCV95(926-931).
IEEE DOI BibRef

Heisterkamp, D.R., Bhattacharya, P.,
Invariants of Families of Coplanar Conics and Their Applications to Object Recognition,
JMIV(7), No. 3, June 1997, pp. 253-267.
DOI Link 9708
BibRef
Earlier: ICPR96(I: 677-681).
IEEE DOI 9608
(Univ. of Nebraska-Lincoln, USA) BibRef

Bhattacharya, P.[Prabir], Heisterkamp, D.R.[Douglas R.],
Object and Motion Recognition Using the Plane Plus Parallax Displacement of Conics,
ICPR98(Vol I: 751-753).
IEEE DOI 9808
BibRef

Olver, P.J.[Peter J.], Sapiro, G.[Guillermo], Tannenbaum, A.[Allen],
Differential Invariant Signatures and Flows in Computer Vision: A Symmetry Group Approach,
GDDCV94(Chapter 9). BibRef 9400

Olver, P.J.[Peter J.], Tannenbaum, A.[Allen], and Sapiro, G.[Guillermo],
Affine Invariants Detection: Edges, Active Contours, and Segments,
CVPR96(520-525).
IEEE DOI BibRef 9600

Calabi, E., Olver, P.J., Shakiban, C., Tannenbaum, A., Haker, S.,
Differential and Numerically Invariant Signature Curves Applied to Object Recognition,
IJCV(26), No. 2, February 1998, pp. 107-135.
DOI Link 9804
BibRef

Hoff, D.J.[Daniel J.], Olver, P.J.[Peter J.],
Extensions of Invariant Signatures for Object Recognition,
JMIV(45), No. 2, February 2013, pp. 176-185.
WWW Link. 1302
BibRef

Roh, K.S.[Kyoung Sig], Kweon, I.S.[In So],
2-D Object Recognition Using Invariant Contour Descriptor and Projective Refinement,
PR(31), No. 4, April 1998, pp. 441-455.
WWW Link. 9803
BibRef

Carlsson, S.,
Projectively Invariant Decomposition and Recognition of Planar Shapes,
IJCV(17), No. 2, February 1996, pp. 193-209.
Springer DOI BibRef 9602
Earlier: ICCV93(471-475).
IEEE DOI BibRef
And: ISRN KTH/NA/P--92/31--SE, October 1992.
PS File. BibRef

Carlsson, S.[Stefan],
Conic Primitives for Projectively Invariant Representation of Planar Curves,
MDSG94(403-414). BibRef 9400

Carlsson, S.,
Projectively Invariant Decomposition of Planar Shapes,
GICV92(xx-yy). BibRef 9200
And: ISRN KTH/NA/P-91/21-SE. BibRef

Carlsson, S., Weinshall, D.,
Dual Computation of Projective Shape and Camera Positions from Multiple Images,
IJCV(27), No. 3, May 1998, pp. 227-241.
DOI Link 9805
BibRef

Carlsson, S.[Stefan],
Duality of Reconstruction and Positioning from Projective Views,
RVS95(xx). BibRef 9500
And: CVAP175, April 1995. BibRef

Quan, L.[Long], Veillon, F.[Francoise],
Joint Invariants of a Triplet of Coplanar Conics: Stability and Discriminating Power for Object Recognition,
CVIU(70), No. 1, April 1998, pp. 111-119.
DOI Link BibRef 9804
Earlier: A2, A1, Add: Sturm, P.F.[Peter F.], CAIP95(705-710).
Springer DOI 9509
BibRef

Heyden, A.[Anders],
Reduced Multilinear Constraints: Theory and Experiments,
IJCV(30), No. 1, October 1998, pp. 5-26.
DOI Link Constraints for reconstruction. Tri and Quad. See also Simplifications of Multilinear Forms for Sequences of Images. BibRef 9810

Heyden, A.[Anders],
Differential-Algebraic Multiview Constraints,
ICPR06(I: 159-162).
IEEE DOI 0609
BibRef

Heyden, A.,
A common framework for multiple view tensors,
ECCV98(I: 3).
Springer DOI BibRef 9800

Heyden, A.[Anders],
Geometry and Algebra of Multiple Projective Transformations,
Ph.D.Thesis, Lund University, Sweden, 1995. BibRef 9500

Keren, D.[Daniel], Rivlin, E.[Ehud], Shimshoni, I.[Ilan], Weiss, I.[Isaac],
Recognizing 3D Objects Using Tactile Sensing and Curve Invariants,
JMIV(12), No. 1, February 2000, pp. 5-23.
DOI Link 9912
BibRef
And: UMD--TR3812, July 1997. Object Recognition. Differential Invariants.
WWW Link.
WWW Link. BibRef

Froimovich, G.[Guy], Rivlin, E.[Ehud], Shimshoni, I.[Ilan], Soldea, O.[Octavian],
Efficient Search and Verification for Function Based Classification from Real Range Images,
CVIU(105), No. 3, March 2007, pp. 200-217.
WWW Link. 0704
BibRef
Earlier: A3, A2, A4, Only: ICPR06(II: 1118-1121).
IEEE DOI 0609
Function based reasoning; Recognition; Classification; Raw range images; 3D segmentation BibRef

Pechuk, M.[Michael], Soldea, O.[Octavian], Rivlin, E.[Ehud],
Learning function-based object classification from 3D imagery,
CVIU(110), No. 2, May 2008, pp. 173-191.
WWW Link. 0804
Function-based reasoning; Object classification; 3D range data; Supervised learning BibRef

Branca, A., Stella, E., Distante, A.,
Feature matching constrained by cross ratio invariance,
PR(33), No. 3, March 2000, pp. 465-481.
WWW Link. 0001
BibRef
Earlier:
Feature matching by searching maximum clique on high order association graph,
CIAP99(642-658).
IEEE DOI 9909
BibRef

Leedan, Y.[Yoram], Meer, P.[Peter],
Heteroscedastic Regression in Computer Vision: Problems with Bilinear Constraint,
IJCV(37), No. 2, June 2000, pp. 127-150.
DOI Link
HTML Version. 0008
BibRef
Earlier:
Estimation with Bilinear Constraints in Computer Vision,
ICCV98(733-738).
IEEE DOI See also Parameterized Image Varieties and Estimation with Bilinear Constraints. BibRef

Squire, D.M.[David M.], Caelli, T.M.[Terry M.],
Invariance Signatures: Characterizing Contours by Their Departures from Invariance,
CVIU(77), No. 3, March 2000, pp. 284-316.
DOI Link 0004
BibRef

Simard, P.Y.[Patrice Y.], Le Cun, Y.L.[Yann L.], Denker, J.S.[John S.], Victorri, B.[Bernard],
Transformation Invariance in Pattern Recognition: Tangent Distance and Propagation,
IJIST(11), No. 3, 2000, pp. 181-197. 0102
BibRef
Earlier:
An efficient algorithm for learning invariance in adaptive classifiers,
ICPR92(II:651-655).
IEEE DOI 9208
BibRef

Förstner, W.[Wolfgang],
Minimal Representations for Testing and Estimation in Projective Spaces,
PFG(2012), No. 3, 2012, pp. 209-220.
WWW Link. 1211
BibRef
Earlier:
Minimal Representations for Uncertainty and Estimation in Projective Spaces,
ACCV10(II: 619-632).
Springer DOI 1011
BibRef
And:
Algebraic Projective Geometry and Direct Optimal Estimation of Geometric Entities,
DAGM01(xx-yy).
HTML Version. BibRef

Coffman, A.[Adam],
Weighted Projective Spaces and a Generalization of Eves' Theorem,
JMIV(48), No. 3, March 2014, pp. 432-450.
Springer DOI 1403
Ratio of products of distances that is invariant under projective transformations. BibRef


Perdigoto, L.[Luis], Araujo, H.[Helder],
Reconstruction of 3D lines from a single axial catadioptric image using cross-ratio,
ICPR12(857-860).
WWW Link. 1302
BibRef

Sugimoto, A.[Akihiro], Matsuyama, T.[Takashi],
Multilinear Relationships Between the Coordinates of Corresponding Image Conics,
ICPR00(Vol I: 550-554).
IEEE DOI 0009
BibRef

Daoudi, M.[Mohamed], Matusiak, S.[Stanislaw],
New Multiscale Planar Shape Invariant Representation Under a General Affine Transformations,
ICPR00(Vol III: 786-789).
IEEE DOI 0009
For contours. BibRef

Xia, F.,
On Contour Invariants: Relationship and Application,
ICPR96(II: 136-140).
IEEE DOI 9608
(Univ. of Macao, MO) BibRef

Mokadem, A., Daoudi, M., Ghorbel, F.,
A Shape Distance by Complete and Stable Invariant Descriptors for Contour Tracking,
ICPR96(I: 105-109).
IEEE DOI 9608
(ENIC, F) BibRef

Kuno, Y., Takae, O., Takahashi, T., and Shirai, Y.,
Object Recognition Using Multiple View Invariance Based on Complex Features,
WACV96(129-134).
IEEE DOI 9609
BibRef

Sugimoto, A.,
Geometric Invariant of Noncoplanar Lines in a Single View,
ICPR94(A:190-195).
IEEE DOI BibRef 9400

Van Gool, L.J., Moons, T., Ungureanu, D.,
Affine/Photometric Invariants for Planar Intensity Patterns,
ECCV96(I:642-651).
Springer DOI Viewpoint invariants. BibRef 9600

Chapter on Matching and Recognition Using Volumes, High Level Vision Techniques, Invariants continues in
Invariants, Areas .


Last update:Sep 18, 2017 at 11:34:11