10.1.3.1 EpiPolar Analysis

Giblin, P.J., Weiss, R.S.,
Epipolar Curves on Surfaces,
IVC(13), No. 1, February 1995, pp. 33-44.
WWW Version. BibRef 9502
Earlier: ARPA94(II:1481-1485). BibRef
And:
Epipolar Fields on Surfaces,
ECCV94(A:14-23).
Springer DOI Link BibRef
Earlier:
Reconstructions of Surfaces from Profiles,
ICCV87(136-144). BibRef
And: DARPA87(900-908). BibRef

Papadimitriou, D.V., Dennis, T.J.,
Epipolar Line Estimation and Rectification for Stereo Image Pairs,
IP(5), No. 4, April 1996, pp. 672-676.
IEEE DOI Link 9605
BibRef

Xu, G.[Gang], Zhang, Z.Y.[Zheng-You],
Epipolar Geometry in Stereo, Motion, and Object Recognition: A Unified Approach,
KluwerSeptember 1996. ISBN 0-7923-4199-6.
WWW Version. BibRef 9609

Xu, G.[Gang],
A Unified Approach to Image Matching and Segmentation in Stereo, Motion, and Object Recognition via Recovery of Epipolar Geometry,
Videre(1), No. 1, 1997, pp. 22-55. By recovering epipolar geometry, the other problems are easier. Abstract:
HTML Version. Full paper:
PDF Version. BibRef 9700

Tomasi, C.[Carlo], and Manduchi, R.[Roberto],
Stereo Matching as a Nearest-Neighbor Problem,
PAMI(20), No. 3, March 1998, pp. 333-340.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9805
Represent images using intrinsic curves to convert match from search to nearest neighbor. Intrinsic curves are the paths of a set of image descriptors in a scanline. E.g. in 3-D plot postion (X), low-pass, derivative. Project onto the X=0 plane. This is an intrinsic curve. BibRef

Tomasi, C., Manduchi, R.,
Stereo without Search,
ECCV96(I:452-465).
Springer DOI Link Scanline method, using curve representing the scan line. BibRef 9600

Zhang, Z.Y.,
Determining The Epipolar Geometry And Its Uncertainty: A Review,
IJCV(27), No. 2, March 1998, pp. 161-195.
WWW Version. 9805
Early version:
Postscript Version. BibRef

Birchfield, S.T.[Stan T.], Tomasi, C.[Carlo],
A Pixel Dissimilarity Measure That Is Insensitive to Image Sampling,
PAMI(20), No. 4, April 1998, pp. 401-406.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9806
For stereo matching, how to compare two pixels -- used for comparing epiploar lines. BibRef

Chai, J.X.[Jin-Xiang], Ma, S.D.[Song De],
Robust epipolar geometry estimation using genetic algorithm,
PRL(19), No. 9, 31 July 1998, pp. 829-838. BibRef 9807

Boufama, B.S., Mohr, R.,
A Stable and Accurate Algorithm for Computing Epipolar Geometry,
PRAI(12), No. 6, September 1998, pp. 817. BibRef 9809

Boufama, B.S.[Boubakeur-Seddik], Mohr, R.[Roger],
Epipole and Fundamental Matrix Estimation Using Virtual Parallax,
ICCV95(1030-1036).
IEEE DOI Link
WWW Version. BibRef 9500

Basri, R.[Ronen], Rivlin, E.[Ehud], Shimshoni, I.[Ilan],
Visual Homing: Surfing on the Epipoles,
IJCV(33), No. 2, September 1999, pp. 117-137.
WWW Version. BibRef 9909
Earlier: ICCV98(863-869).
IEEE DOI Link BibRef

Chua, C.S.[Chin-Seng], Ho, Y.K.[Yeong Khing], Liang, Y.,
Rejection of mismatched correspondences along the affine epipolar line,
IVC(18), No. 6-7, 1 May 2000, pp. 445-462.
WWW Version. 0003
BibRef

Tang, C.K.[Chi-Keung], and Medioni, G.[Gérard], Lee, M.S.[Mi-Suen],
N-Dimensional Tensor Voting and Application to Epipolar Geometry Estimation,
PAMI(23), No. 8, August 2001, pp. 829-844.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 0108 USC Computer Vision 0109
BibRef
Earlier:
Epipolar Geometry Estimation by Tensor Voting in 8D,
ICCV99(502-509).
IEEE DOI Link The tensor voting formulation ( See also Computational Framework for Segmentation and Grouping, A. ) for Stereo applications. BibRef

Tong, W.S.[Wai-Shun], Tang, C.K.[Chi-Keung], Medioni, G.[Gerard],
Simultaneous Two-View Epipolar Geometry Estimation and Motion Segmentation by 4D Tensor Voting,
PAMI(26), No. 9, September 2004, pp. 1167-1184.
IEEE Abstract. IEEE Top Reference. 0409
BibRef
Earlier:
Epipolar Geometry Estimation for Non-Static Scenes by 4D Tensor Voting,
CVPR01(I:926-933).
IEEE Abstract. IEEE Top Reference. BibRef USC Computer Vision 0110
BibRef

Mellor, J.P.,
Geometry and Texture from Thousands of Images,
IJCV(51), No. 1, January 2003, pp. 5-35.
WWW Version. 0211
BibRef
Earlier: SMILE00(170 ff.).
HTML Version. 0209
BibRef

Mellor, J.P., Teller, S.[Seth], Lozano-Perez, T.[Thomas],
Dense Surface Patches from Thousands of Pose Iamges,
DARPA98(537-542). BibRef 9800
Earlier:
Dense Depth Maps from Epipolar Images,
DARPA97(893-900). BibRef
And: MIT AI Memo-1593, November 1996.
WWW Version. BibRef

Mellor, J.P.[John P.],
Automatically Recovering Geometry and Texture from Large Sets of Calibrated Images,
Ph.D.Thesis, Massachusetts Institute of Technology, 1999.
PDF Version. BibRef 9900
And: MIT AI TR1674, October 1999.
WWW Version. BibRef

Berestov, A.L.[Alexander L.],
Fast epipolar line adjustment of stereo pairs,
US_Patent6,671,399, Dec 30, 2003
WWW Version. BibRef 0312

Nistér, D.[David], Schaffalitzky, F.[Frederik],
Four Points in Two or Three Calibrated Views: Theory and Practice,
IJCV(67), No. 2, April 2006, pp. 211-231.
Springer DOI Link 0605
BibRef
Earlier:
What Do Four Points in Two Calibrated Images Tell Us about the Epipoles?,
ECCV04(Vol II: 41-57).
WWW Version. 0405
See also How Hard is 3-View Triangulation Really?. BibRef

Kahl, F.[Fredrik], Henrion, D.[Didier],
Globally Optimal Estimates for Geometric Reconstruction Problems,
IJCV(74), No. 1, August 2007, pp. 3-15.
Springer DOI Link 0705
BibRef
Earlier: ICCV05(II: 978-985).
IEEE DOI Link 0510
Award, Marr Prize. Apply to a number of vision problems (reconstruction, epipolar estimation). BibRef

Hu, M.X.[Ming-Xing], McMenemy, K.[Karen], Ferguson, S.[Stuart], Dodds, G.[Gordon], Yuan, B.Z.[Bao-Zong],
Epipolar geometry estimation based on evolutionary agents,
PR(41), No. 2, February 2008, pp. 575-591.
WWW Version. 0711
BibRef
Earlier:
Robust Projective Reconstruction with Missing Information,
ICPR06(I: 547-550).
WWW Version. 0609
Epipolar geometry; Evolutionary agent; Fundamental matrix; Robust estimation; Evolutionary behavior; Subset template BibRef

Hu, M.X.[Ming-Xing], Yuan, B.Z.[Bao-Zong], Dodds, G., Tang, X.F.[Xiao-Fang],
Robust method of recovering epipolar geometry using messy genetic algorithm,
CRV04(164-171).
IEEE Abstract. IEEE Top Reference. 0408
BibRef

Hu, M.X.[Ming-Xing], Dodds, G., Yuan, B.Z.[Bao-Zong],
Evolutionary agents for epipolar geometry estimation,
ICIP04(III: 1843-1846).
IEEE DOI Link 0505
BibRef

Hu, M.X.[Ming-Xing], Yuan, B.Z.[Bao-Zong],
Robust estimation of trifocal tensor using messy genetic algorithm,
ICPR02(IV: 347-350).
IEEE DOI Link 0211
BibRef

Goshen, L.[Liran], Shimshoni, I.[Ilan],
Balanced Exploration and Exploitation Model Search for Efficient Epipolar Geometry Estimation,
PAMI(30), No. 7, July 2008, pp. 1230-1242.
IEEE DOI Link 0806
BibRef
Earlier: ECCV06(II: 151-164).
Springer DOI Link 0608
BibRef

Goshen, L.[Liran], Shimshoni, I.[Ilan],
Guided Sampling via Weak Motion Models and Outlier Sample Generation for Epipolar Geometry Estimation,
IJCV(80), No. 2, November 2008, pp. xx-yy.
Springer DOI Link 0809
BibRef
Earlier: CVPR05(I: 1105-1112).
IEEE DOI Link 0507
BibRef

Monaco, J.P.[James P.], Bovik, A.C.[Alan C.], Cormack, L.K.[Lawrence K.],
Nonlinearities in Stereoscopic Phase-Differencing,
IP(17), No. 9, September 2008, pp. 1672-1684.
IEEE DOI Link 0810
BibRef
Earlier:
Stereoscopic Phase-Differencing: Multiscale Synthesis,
Southwest08(33-36).
IEEE DOI Link 0803
BibRef

Monaco, J.P.[James P.], Bovik, A.C.[Alan C.], Cormack, L.K.[Lawrence K.],
Active, Foveated, Uncalibrated Stereovision,
IJCV(85), No. 2, November 2009, pp. xx-yy.
Springer DOI Link 0909
BibRef
Earlier:
Epipolar Spaces and Optimal Sampling Strategies,
ICIP07(VI: 545-548).
IEEE DOI Link 0709
BibRef
And:
Epipolar Spaces for Active Binocular Vision Systems,
ICIP07(VI: 549-551).
IEEE DOI Link 0709
BibRef

Piao, Y.[Ying], Sato, J.[Jun],
Computing Epipolar Geometry from Unsynchronized Cameras,
IEICE(E91-D), No. 8, August 2008, pp. 2171-2178.
WWW Version. 0804
BibRef
Earlier: CIAP07(475-480).
IEEE DOI Link 0709
BibRef

Wu, H.H.P.[Hsien-Huang P.], Lee, M.T.[Meng-Tu], Weng, P.K.[Ping-Kuo], Chen, S.L.[Soon-Lin],
Epipolar geometry of catadioptric stereo systems with planar mirrors,
IVC(27), No. 8, 2 July 2009, pp. 1047-1061.
Elsevier DOI Link
WWW Version. 0906
Catadioptric Camera. Catadioptric stereo system; Affine epipolar geometry; Fundamental matrix; Reflection transformation BibRef

Palander, K.[Kimmo], Brandt, S.S.[Sami S.],
Epipolar geometry and log-polar transform in wide baseline stereo matching,
ICPR08(1-4).
IEEE DOI Link 0812
BibRef

Brandt, S.S.[Sami S.],
Consistent and efficient sampler for geometric computation,
ICPR08(1-4).
IEEE DOI Link 0812
BibRef

Natsumi, H.[Hiroaki], Sugimoto, A.[Akihiro], Kenmochi, Y.[Yukiko],
Predicting Corresponding Region in a Third View Using Discrete Epipolar Lines,
DGCI08(xx-yy).
Springer DOI Link 0804
BibRef

Li, W.F.[Wen-Feng], Li, B.X.[Bao-Xin],
MAP Estimation of Epipolar Geometry by EM Algorithm and Local Diffusion,
ICIP07(V: 201-204).
IEEE DOI Link 0709
BibRef

Engels, C., Nister, D.,
Global Uncertainty in Epipolar Geometry via Fully and Partially Data-Driven Sampling,
BenCOS05(xx-yy).
PDF Version. 0510
BibRef

Migita, T.[Tsuyoshi], Shakunaga, T.[Takeshi],
Evaluation of Epipole Estimation Methods with/without Rank-2 Constraint across Algebraic/Geometric Error Functions,
CVPR07(1-7).
IEEE DOI Link 0706
BibRef

Kalisperakis, I.[Ilias], Karras, G.E.[George E.], Grammatikopoulos, L.[Lazaros],
3D Aspects of 2D Epipolar Geometry,
PCV06(xx-yy).
PDF Version. 0609
BibRef

Jung, H.Y.[Ho Yub], Lee, K.M.[Kyoung Mu], Lee, S.U.[Sang Uk],
Stereo Matching Using Scanline Disparity Discontinuity Optimization,
ACIVS06(588-597).
Springer DOI Link 0609
BibRef

Barreto, J.P.[Joao P.], Daniilidis, K.[Kostas],
Epipolar Geometry of Central Projection Systems Using Veronese Maps,
CVPR06(I: 1258-1265).
IEEE DOI Link 0606
BibRef

Chum, O., Werner, T., Pajdla, T.,
Joint Orientation of Epipoles,
BMVC03(xx-yy).
HTML Version. 0409
BibRef

Perdoch, M.[Michal], Matas, J.[Jiri], Chum, O.[Ondrej],
Epipolar Geometry from Two Correspondences,
ICPR06(IV: 215-219).
WWW Version. 0609
BibRef

Chum, O.[Ondrej], Werner, T.[Tomas], Matas, J.[Jiri],
Two-View Geometry Estimation Unaffected by a Dominant Plane,
CVPR05(I: 772-779).
IEEE DOI Link 0507
BibRef
Earlier:
Epipolar geometry estimation via RANSAC benefits from the oriented epipolar constraint,
ICPR04(I: 112-115).
IEEE DOI Link 0409
BibRef

Werner, T.[Tomas], Pajdla, T.[Tomas],
Cheirality in Epipolar Geometry,
ICCV01(I: 548-553).
IEEE DOI Link 0106
Not all points on the epipolar line correspond to possible configurations. BibRef

Lu, X.Y.[Xiao-Ye], Manduchi, R.,
Wide baseline feature matching using the cross-epipolar ordering constraint,
CVPR04(I: 16-23).
IEEE Abstract. IEEE Top Reference. 0408
BibRef

Pollefeys, M.[Marc], Sinha, S.N.[Sudipta N.],
Iso-disparity Surfaces for General Stereo Configurations,
ECCV04(Vol III: 509-520).
WWW Version. 0405
Same resolution along the epipolar line in both images. BibRef

Feldmann, I., Kauff, P., Eisert, P.,
Optimized space sampling for circular image cube trajectory analysis,
ICIP04(III: 1947-1950).
IEEE DOI Link 0505
BibRef

Feldmann, I., Eisert, P., Kauff, P.,
Extension of epipolar image analysis to circular camera movements,
ICIP03(III: 697-700).
IEEE Abstract. IEEE Top Reference. 0312
BibRef

Matousek, M.[Martin], Hlavác, V.[Václav],
Epipolar Plane Images as a Tool to Seek Correspondences in a Dense Sequence,
CAIP03(74-81).
WWW Version. 0311
BibRef

Jahn, H.[Herbert],
Parallel Approach to Binocular Stereo Matching,
PCV02(A: 175). 0305
BibRef

Jahn, H.[Herbert],
Binocular Stereo Matching by Local Attraction,
CAIP01(676 ff.).
HTML Version. 0210
BibRef

Jahn, H.[Herbert],
Parallel Epipolar Stereo Matching,
ICPR00(Vol I: 402-405).
IEEE DOI Link
HTML Version. 0009
BibRef

Shen, X., Palmer, P., McLauchlan, P., Hilton, A.,
Error Propagation from Camera Motion to Epipolar Constraint,
BMVC00(xx-yy).
PDF Version. 0009
BibRef

Kurata, T.[Takeshi], Sakaue, K.[Katsuhiko], Fujiki, J.[Jun],
Affine Epipolar Geometry via Factorization Method,
ICPR98(Vol I: 862-866).
IEEE DOI Link 9808
BibRef

Ishikawa, H., Geiger, D.,
Occlusions, discontinuities, and epipolar lines in stereo,
ECCV98(I: 232).
WWW Version. BibRef 9800

Kahl, F.[Fredrik], and Heyden, A.[Anders],
Using Conic Correspondence in Two Images to Estimate the Epipolar Geometry,
ICCV98(761-766).
IEEE DOI Link BibRef 9800

Ke, Q.[Qifa], Xu, G.[Gang], and Ma, S.D.[Song De],
Recovering Epipolar Geometry by Reactive Tabu Search,
ICCV98(767-771).
IEEE DOI Link BibRef 9800

Garcia, B.[Blanca], and Brunet, P.[Pere],
3D Reconstruction with Projective Octrees and Epipolar Geometry,
ICCV98(1067-1072).
IEEE DOI Link BibRef 9800

Chou, G.T.[George T.], Teller, S.[Seth],
Multi-Level 3D Reconstruction with Visibility Constraints,
DARPA98(543-550). BibRef 9800

Chou, G.T.[George T.],
Large-Scale 3D Reconstruction: A Triangulation-Based Approach,
Ph.D.Thesis, Massachusetts Institute of Technology, 2000.
PDF Version. BibRef 0001

Chapter on Stereo: Three Dimensional Descriptions from Two or More Views, Binocular, Trinocular continues in
Stereo Analysis - Boundaries of Curved Surfaces .