Detecting Bilateral Symmetry of 3D Point Sets from Affine Views

Thorhallsson, Torfi

doi:10.5244/c.10.60

Cited by 3 publications

(3 citation statements)

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“…Although work on symmetry identification has been successfully carried out in 2D [85] together with successful work on symmetry identification in 3D data sets [67,64] it would appear that identifying potential axes of localised symmetry in a 2 1 2 D scene remains an open, and potentially difficult problem. It is not clear how helpful advances in this area would be to the more general problem of 3D completion.…”

Section: Discussionmentioning

confidence: 99%

“…[85,67,60]), the identification of consistent sets of localised symmetries in a complex 3D scene remains a difficult problem [22] (e.g., finding the symmetrical components in Fig. 1B).…”

Section: Completion Using Symmetrymentioning

confidence: 99%

“…[21,67]. This work is again limited to isolated objects rather than the more general case of identifying local object symmetries in a larger scene.…”

Section: Completion Using Symmetrymentioning

confidence: 99%

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Amodal volume completion: 3D visual completion

Breckon

Fisher

2005

Computer Vision and Image Understanding

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This work considers the common problem of completing partially visible artifacts within a 3D scene. Human vision abilities to complete such artifacts are well studied within the realms of perceptual psychology. However, the psychological explanations for completion have received only limited application in the domain of 3D computer vision. Here, we examine prior work in this area of computer vision with reference to psychological accounts of completion and identify remaining challenges for future work.

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Section: Discussionmentioning

confidence: 99%

“…[85,67,60]), the identification of consistent sets of localised symmetries in a complex 3D scene remains a difficult problem [22] (e.g., finding the symmetrical components in Fig. 1B).…”

Section: Completion Using Symmetrymentioning

confidence: 99%

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Amodal volume completion: 3D visual completion

Breckon

Fisher

2005

Computer Vision and Image Understanding

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The tensors of three affine views

Thorballsson

Murray

Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149)

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In this paper we specialize the projective unifocal, bifocal, and trifocal tensors to the afJine case, and show how the tensors obtained relate to the registered tensors encountered in previous work. This enables us to obtain an affine specialization of known projective relations connecting points and lines across two or three views. In the simpler case of affine cameras we give neccessary and sufJicient constraints on the components of the trifocal tensor; together with a simple geometric interpretation. Finally, we show how the estimation of the tensors from point correspondences is achieved through factorization, and discuss the estimation from line correspondences.450 0-7695-0149-4/99 $10.00 0 1999 IEEE

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Optimal rectification of an affine structure from hypothesized orthogonality relations

Thorhallsson

Proceedings 15th International Conference on Pattern Recognition. ICPR-2000

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Detecting Bilateral Symmetry of 3D Point Sets from Affine Views

Cited by 3 publications

References 0 publications

Amodal volume completion: 3D visual completion

Amodal volume completion: 3D visual completion

The tensors of three affine views

Optimal rectification of an affine structure from hypothesized orthogonality relations

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