On the reprojection of 3D and 2D scenes without explicit model selection. Shashua, A. & Avidan, S. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 1842:936-949, 2000. Paper doi abstract bibtex It is known that recovering projection matrices from planar configurations is ambiguous, thus, posing the problem of model selection - is the scene planar (2D) or non-planar (3D)? For a 2D scene one would recover a homography matrix, whereas for a 3D scene one would recover the fundamental matrix or trifocal tensor. The task of model selection is especially problematic when the scene is neither 2D nor 3D - for example a “thin” volume in space. In this paper we show that for certain tasks, such as reprojection, there is no need to select a model. The ambiguity that arises from a 2D scene is orthogonal to the reprojection process, thus if one desires to use multilinear matching constraints for transferring points along a sequence of views it is possible to do so under any situation of 2D, 3D or “thin” volumes.
@article{
title = {On the reprojection of 3D and 2D scenes without explicit model selection},
type = {article},
year = {2000},
pages = {936-949},
volume = {1842},
id = {84c532e3-37ab-3071-8da0-de6b5ad708de},
created = {2023-03-13T08:42:26.685Z},
file_attached = {true},
profile_id = {f1f70cad-e32d-3de2-a3c0-be1736cb88be},
group_id = {5ec9cc91-a5d6-3de5-82f3-3ef3d98a89c1},
last_modified = {2023-03-13T08:42:31.745Z},
read = {false},
starred = {false},
authored = {false},
confirmed = {true},
hidden = {false},
folder_uuids = {238906f4-3e7c-4ebb-b571-5e94ea26a909},
private_publication = {false},
abstract = {It is known that recovering projection matrices from planar configurations is ambiguous, thus, posing the problem of model selection - is the scene planar (2D) or non-planar (3D)? For a 2D scene one would recover a homography matrix, whereas for a 3D scene one would recover the fundamental matrix or trifocal tensor. The task of model selection is especially problematic when the scene is neither 2D nor 3D - for example a “thin” volume in space. In this paper we show that for certain tasks, such as reprojection, there is no need to select a model. The ambiguity that arises from a 2D scene is orthogonal to the reprojection process, thus if one desires to use multilinear matching constraints for transferring points along a sequence of views it is possible to do so under any situation of 2D, 3D or “thin” volumes.},
bibtype = {article},
author = {Shashua, Amnon and Avidan, Shai},
doi = {10.1007/3-540-45054-8_61},
journal = {Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)}
}
Downloads: 0
{"_id":"RabQZhaejSj6TQPs7","bibbaseid":"shashua-avidan-onthereprojectionof3dand2dsceneswithoutexplicitmodelselection-2000","author_short":["Shashua, A.","Avidan, S."],"bibdata":{"title":"On the reprojection of 3D and 2D scenes without explicit model selection","type":"article","year":"2000","pages":"936-949","volume":"1842","id":"84c532e3-37ab-3071-8da0-de6b5ad708de","created":"2023-03-13T08:42:26.685Z","file_attached":"true","profile_id":"f1f70cad-e32d-3de2-a3c0-be1736cb88be","group_id":"5ec9cc91-a5d6-3de5-82f3-3ef3d98a89c1","last_modified":"2023-03-13T08:42:31.745Z","read":false,"starred":false,"authored":false,"confirmed":"true","hidden":false,"folder_uuids":"238906f4-3e7c-4ebb-b571-5e94ea26a909","private_publication":false,"abstract":"It is known that recovering projection matrices from planar configurations is ambiguous, thus, posing the problem of model selection - is the scene planar (2D) or non-planar (3D)? For a 2D scene one would recover a homography matrix, whereas for a 3D scene one would recover the fundamental matrix or trifocal tensor. The task of model selection is especially problematic when the scene is neither 2D nor 3D - for example a “thin” volume in space. In this paper we show that for certain tasks, such as reprojection, there is no need to select a model. The ambiguity that arises from a 2D scene is orthogonal to the reprojection process, thus if one desires to use multilinear matching constraints for transferring points along a sequence of views it is possible to do so under any situation of 2D, 3D or “thin” volumes.","bibtype":"article","author":"Shashua, Amnon and Avidan, Shai","doi":"10.1007/3-540-45054-8_61","journal":"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)","bibtex":"@article{\n title = {On the reprojection of 3D and 2D scenes without explicit model selection},\n type = {article},\n year = {2000},\n pages = {936-949},\n volume = {1842},\n id = {84c532e3-37ab-3071-8da0-de6b5ad708de},\n created = {2023-03-13T08:42:26.685Z},\n file_attached = {true},\n profile_id = {f1f70cad-e32d-3de2-a3c0-be1736cb88be},\n group_id = {5ec9cc91-a5d6-3de5-82f3-3ef3d98a89c1},\n last_modified = {2023-03-13T08:42:31.745Z},\n read = {false},\n starred = {false},\n authored = {false},\n confirmed = {true},\n hidden = {false},\n folder_uuids = {238906f4-3e7c-4ebb-b571-5e94ea26a909},\n private_publication = {false},\n abstract = {It is known that recovering projection matrices from planar configurations is ambiguous, thus, posing the problem of model selection - is the scene planar (2D) or non-planar (3D)? For a 2D scene one would recover a homography matrix, whereas for a 3D scene one would recover the fundamental matrix or trifocal tensor. The task of model selection is especially problematic when the scene is neither 2D nor 3D - for example a “thin” volume in space. In this paper we show that for certain tasks, such as reprojection, there is no need to select a model. The ambiguity that arises from a 2D scene is orthogonal to the reprojection process, thus if one desires to use multilinear matching constraints for transferring points along a sequence of views it is possible to do so under any situation of 2D, 3D or “thin” volumes.},\n bibtype = {article},\n author = {Shashua, Amnon and Avidan, Shai},\n doi = {10.1007/3-540-45054-8_61},\n journal = {Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)}\n}","author_short":["Shashua, A.","Avidan, S."],"urls":{"Paper":"https://bibbase.org/service/mendeley/bfbbf840-4c42-3914-a463-19024f50b30c/file/3361d968-db59-a493-7c49-9cea89ec0c1a/3_540_45054_8_61.pdf.pdf"},"biburl":"https://bibbase.org/service/mendeley/bfbbf840-4c42-3914-a463-19024f50b30c","bibbaseid":"shashua-avidan-onthereprojectionof3dand2dsceneswithoutexplicitmodelselection-2000","role":"author","metadata":{"authorlinks":{}},"downloads":0},"bibtype":"article","biburl":"https://bibbase.org/service/mendeley/bfbbf840-4c42-3914-a463-19024f50b30c","dataSources":["2252seNhipfTmjEBQ"],"keywords":[],"search_terms":["reprojection","scenes","without","explicit","model","selection","shashua","avidan"],"title":"On the reprojection of 3D and 2D scenes without explicit model selection","year":2000}