| P. Sturm. A method for 3d reconstruction of piecewise planar objects from single panoramic images. In Proceedings of the IEEE Workshop on Omnidirectional Vision, Hilton Head Island, USA, pages 119--126. IEEE, June 2000. |
....[6] proved the superiority of the sphere over the plane regarding stability. Teller [1] showed how to compute ego motion from spherical mosaics. Multiple view algorithms for the perspective case which assume piecewise planar environments are simpler when modified for catadioptric imagery. [21, 19]. In the next section we mention introductory facts about catadioptric geometry. We introduce the notion of circle space and we find the image of the absolute conic on that space. We finish the second section with the recovery of the image of the absolute conic from the catadioptric fundamental ....
P. Sturm. A method for 3d-reconstruction of piecewise planar objects from single panoramic images. In IEEE Workshop on Omnidirectional Vision, Hilton Head, SC, June 12, pages 119--126, 2000.
....is well behaved and give insight on the precision obtained in real world situations. 1 Introduction When reconstructing a 3D scene from observed 2D points, knowing priori geometric information facilitates the task [2, 6, 1] and in some cases allows to obtain a reconstruction from a single image [5, 13, 14]. These advantages allow many new applications such as rapid acquisition of virtual models of buildings [6, 5, 13, 4, 14] reconstruction from paintings and precise measurements [5] We consider the reconstruction of structured scenes from 2D points in one or more images, when a user gives ....
.... a 3D scene from observed 2D points, knowing priori geometric information facilitates the task [2, 6, 1] and in some cases allows to obtain a reconstruction from a single image [5, 13, 14] These advantages allow many new applications such as rapid acquisition of virtual models of buildings [6, 5, 13, 4, 14], reconstruction from paintings and precise measurements [5] We consider the reconstruction of structured scenes from 2D points in one or more images, when a user gives beforehand geometric information about the scene, such as planarity, collinearity, symmetry etc. This problem has been ....
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P.F. Sturm and S.J. Maybank. A method for interactive 3D reconstruction of piecewise planar objects from single views. In Proc. BMVC, pages 265--274, 1999.
....[6] proved the superiority of the sphere over the plane regarding stability. Teller [1] showed how to compute ego motion from spherical mosaics. Multiple view algorithms for the perspective case which assume piecewise planar environments are simpler when modified for catadioptric imagery. [21, 19]. In the next section we mention introductory facts about catadioptric geometry. We introduce the notion of circle space and we find the image of the absolute conic on that space. We finish the second section with the recovery of the image of the absolute conic from the catadioptric fundamental ....
P. Sturm. A method for 3d-reconstruction of piecewise planar objects from single panoramic images. In IEEE Workshop on Omnidirectional Vision, Hilton Head, SC, June 12, pages 119--126, 2000. 14
....in general, not perspective. In order to obtain correct perspective images, the spherical projection must first be reversed fed the image plane to the sphere surf9# and then, re projected to the desired planef rom the sphere centre. We term this reverse projection back projection afi( Sturm in [15, 16]. The back projectionof an image pixel (u,v ) obtained through spherical projection, yields a 3D direction k (x, y, z) given by thef ollowing equations, derivedf rom equation (2) a = l m) b= u 2 v 2 ) # x y # = la sign(a) # (1 l 2 )b a 2 a 2 b # uv # (3) z ....
P. Sturm and S. Maybank. A method for interactive 3d reconstruction of piecewise planar objects from single images. In British Machine Vision Conference, pages 265--274, 1999.
....in general, not perspective. In order to obtain correct perspective images, the spherical projection must first be reversed fed the image plane to the sphere surf9# and then, re projected to the desired planef rom the sphere centre. We term this reverse projection back projection afi( Sturm in [15, 16]. The back projectionof an image pixel (u,v ) obtained through spherical projection, yields a 3D direction k (x, y, z) given by thef ollowing equations, derivedf rom equation (2) a = l m) b= u 2 v 2 ) # x y # = la sign(a) # (1 l 2 )b a 2 a 2 b # uv # (3) z ....
P. Sturm. A method for 3d reconstruction of piecewise planar objects from single panoramic images. In 1st International IEEE Workshop on Omnidirectional Vision at CVPR, pages 119--126, 2000.
.... Camera Center Pyramid Figure 1: A simple 3D scene (left) and its reconstruction (right) If the bottom points were not known to be coplanar, the relative scale of pyramid and cube would be ambiguous (middle) We use three predominant directions, which form the basis not necessarily orthogonal [11, 12, 3] in which reconstruction is obtained. The vanishing points 1 of these directions play a special role [3, 12, 2] and are assumed to have been estimated [10, 9] and given in the input data. If the angles between the predominant 3D directions are known, partial calibration of the camera can be ....
....not known to be coplanar, the relative scale of pyramid and cube would be ambiguous (middle) We use three predominant directions, which form the basis not necessarily orthogonal [11, 12, 3] in which reconstruction is obtained. The vanishing points 1 of these directions play a special role [3, 12, 2] and are assumed to have been estimated [10, 9] and given in the input data. If the angles between the predominant 3D directions are known, partial calibration of the camera can be computed from the vanishing points [1, 12, 8, 2] and an Euclidean reconstruction will obtained. Otherwise, an ....
[Article contains additional citation context not shown here]
P.F. Sturm and S.J. Maybank. A method for interactive 3d reconstruction of piecewise planar objects from single views. In Proc. BMVC, pages 265--274, 1999.
....the other people are expressed as relative percentage di erences. Note the consistency between the height of the people in the foreground with the height of the people in the background. By assuming a square oor pattern the ground plane has been recti ed and the position of each object estimated [LCZ99, CRZ99a, SM99]. The scale of oor relative to heights is set from the ratio between height and base of the frontoparallel archway. The measurements, up to an overall scale factor are used to compute a three dimensional VRML model of the scene. Figure 23c shows a view of the reconstructed model. Note that the ....
P. Sturm and S. Maybank. A method for interactive 3D reconstruction of piecewise planar objects from single images. In Proc. 10th British Machine Vision Conference, Nottingham, 1999.
.... the intrinsic parameters are required: for instance, the constancy of the intrinsic parameters K (1) K (2) K (n) or the reduced structure of K (i) see [22] Matrix K (i) can be also recovered from the knowledge of scene properties as the perpendicularity or parallelism are [28]. 11 3. Geometry of Multiple Views 3.3. Matching Constraints The matching constraints are equations constraining image point coordinates (u (i)1 ; u (i)2 ) and entries of projection matrices P (i) i = 1; n. The constraints arise from image equations s i 2 6 4 u (i)1 u ....
Peter Sturm. A method for interactive 3d reconstruction of piecewise planar objects from single images. submitted to BMVC'99.
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P. Sturm and S.J. Maybank. A method for interactive 3D reconstruction of piecewise planar objects from single images. In Proceedings of the tenth British Machine Vision Conference, Nottingham, England, pages 265274, September 1999.
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P. Sturm and S. Maybank. A method for interactive 3D reconstruction of piecewise planar objects from single images. In BMVC'99, pages 265--274, 1999.
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P.F. Sturm and S.J. Maybank. A Method for Interactive 3D Reconstruction of Piecewise Planar Objects from Single Images, BMVC, pp. 265-274, 1999.
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P. Sturm. A method for 3d reconstruction of piecewise planar objects from single panoramic images. In Proceedings of the IEEE Workshop on Omnidirectional Vision, Hilton Head Island, USA, pages 119--126. IEEE, June 2000.
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P.F. Sturm and S.J. Maybank. A method for interactive 3d reconstruction of piecewise planar objects from single views. In Proc. BMVC, pages 265--274, 1999.
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P.F.Sturm and S.J.Maybank. A Method for Interactive 3D Reconstruction of Piecewise Planar Objects from Single Images. In ed. A.Pridmore and D.Elliman, Proc. British Machine Vision Conference, Nottingham, 265--274, 1999.
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P.F. Sturm and S.J. Maybank. A method for interactive 3d reconstruction of piecewise planar objects from single images. British machine vision conference, Nottingham, UK, pages 265--274, 1999.
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P.F. Sturm and S.J. Maybank. A method for interactive 3d reconstruction of piecewise planar objects from single images. British machine vision conference, Nottingham, UK, pages 265--274, 1999.
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