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Reconstruction of Linearly Parameterized Models from a Single Image Using the Vanishing Points [chapter]

Yong-In Yoon, Jang-Whan Im, Dae-Hyun Kim, Jong-Soo Choi, Jeong-Su Oh
2003 Lecture Notes in Computer Science  
We present a method using only three vanishing points to recover the dimensions of object and its pose from single image of perspective projection with a camera of unknown focal length.  ...  Experimental results demonstrate the dimension vector v of the proposed method from a single image using three vanishing points and show a performance of the proposed method compared to the conventional  ...  Acknowledgment This research was supported by the Ministry of Education, Seoul, Korea, under the BK21 project, and by the Ministry of Science and Technology, Seoul, Korea, under the NRL project.  ... 
doi:10.1007/3-540-45103-x_92 fatcat:nu6owv5t6jatdif73ndi2ib5x4

Reconstruction of linearly parameterized models using the vanishing points from a single image

Yoon Yong-In, Jang-Hwan Im, Dae-Hyun Kim, Jong-Soo Choi
2003 2003 International Conference on Multimedia and Expo. ICME '03. Proceedings (Cat. No.03TH8698)  
In this paper, we propose a new method using only three vanishing points to recover the dimensions of object and its pose from a single image with a camera of unknown focal length.  ...  This method allows model-based vision to be computed for the dimensions of object for a 3D model from matches to a single 2D image.  ...  ACKNOWLEDGMNT This research was supported by the Ministry of Education, Seoul, Korea, under the BK21 project, and by the Ministry of Science and Technology, Seoul, Korea, under the NRL project.  ... 
doi:10.1109/icme.2003.1220899 dblp:conf/icmcs/YoonIKC03 fatcat:dey547phxzer5f5wme2vtxkwpa

Reconstruction of linearly parameterized models from single images with a camera of unknown focal length

D. Jelinek, C.J. Taylor
2001 IEEE Transactions on Pattern Analysis and Machine Intelligence  
This paper deals with the problem of recovering the dimensions of an object and its pose from a single image acquired with a camera of unknown focal length.  ...  The reconstruction program takes as input, a set of correspondences between features in the model and features in the image.  ...  Reconstruction of Linearly Parameterized Models from Single Images with a Camera of Unknown Focal Length David Jelinek and Camillo J.  ... 
doi:10.1109/34.935850 fatcat:tk5x26o5pnho5auahpyo5xnk6a

Least-squares 3D reconstruction from one or more views and geometric clues

Etienne Grossmann, José Santos-Victor
2005 Computer Vision and Image Understanding  
the input data uniquely defines a reconstruction, and (iv) a parameterization method for collections of 3D points subject to geometric constraints.  ...  We present a method to reconstruct from one or more images a scene that is rich in planes, alignments, symmetries, orthogonalities, and other forms of geometrical regularity.  ...  For example, a reconstruction may be obtained from a single image [10, 28, 38, 43] or from multiple views with too few point correspondence.  ... 
doi:10.1016/j.cviu.2005.01.002 fatcat:epwpjlb6yvaqrhmi4zzvl3zqiy

Analytical Modeling of Vanishing Points and Curves in Catadioptric Cameras

Pedro Miraldo, Srikumar Ramalingam, Francisco Eiras
2018 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition  
The projection of a set of 3D parallel lines converges on a single point in perspective images, whereas they converge to more than one point in catadioptric cameras.  ...  A vanishing point is a point on the image plane where parallel lines in 3D space appear to converge, whereas a vanishing line passes through 2 or more vanishing points.  ...  It is important to note that one can obtain the 3D reconstruction of a line from a single image in a non-central camera.  ... 
doi:10.1109/cvpr.2018.00215 dblp:conf/cvpr/MiraldoER18 fatcat:aiy7jqv6jfh5fi45nu5enuantq

Analytical Modeling of Vanishing Points and Curves in Catadioptric Cameras [article]

Pedro Miraldo, Francisco Eiras, Srikumar Ramalingam
2018 arXiv   pre-print
The projection of a set of 3D parallel lines converges on a single point in perspective images, whereas they converge to more than one point in catadioptric cameras.  ...  A vanishing point is a point on the image plane where parallel lines in 3D space appear to converge, whereas a vanishing line passes through 2 or more vanishing points.  ...  It is important to note that one can obtain the 3D reconstruction of a line from a single image in a non-central camera.  ... 
arXiv:1804.09460v1 fatcat:dqz65tptjrgqzenmoorxz7ckla

3D Modelling Using Geometric Constraints: A Parallelepiped Based Approach [chapter]

Marta Wilczkowiak, Edmond Boyer, Peter Sturm
2002 Lecture Notes in Computer Science  
These principles are illustrated by experimental calibration results and several reconstructions from uncalibrated images.  ...  It has been shown previously that the intrinsic metric characteristics of a parallelepiped are dual to the intrinsic characteristics of a perspective camera.  ...  However, dealing with individual vanishing points does not allow to fully exploit the redundancy contained in the input, i.e. that all the vanishing points stem from the projection of a single parallelepiped  ... 
doi:10.1007/3-540-47979-1_15 fatcat:tnafeenzq5dqfn4ixyx2od24cu

Linear stratified approach for 3D modelling and calibration using full geometric constraints

Jae-Hean Kim
2009 2009 IEEE Conference on Computer Vision and Pattern Recognition  
There have been many approaches to obtain 3D modeling and camera calibration simultaneously from uncalibrated images using parallelism, orthogonality and selfcalibration constraints.  ...  The proposed method uses a stratified approach, in which affine reconstruction is performed first and then metric reconstruction.  ...  Four vanishing points are collinear. Figure 4 . 4 Three images used in the Tower Scene experiment and reconstructed model and camera pose.  ... 
doi:10.1109/cvprw.2009.5206593 fatcat:j3m3cash3fa2fdnspjjl35inra

Linear stratified approach for 3D modelling and calibration using full geometric constraints

Jae-Hean Kim
2009 2009 IEEE Conference on Computer Vision and Pattern Recognition  
There have been many approaches to obtain 3D modeling and camera calibration simultaneously from uncalibrated images using parallelism, orthogonality and selfcalibration constraints.  ...  The proposed method uses a stratified approach, in which affine reconstruction is performed first and then metric reconstruction.  ...  Four vanishing points are collinear. Figure 4 . 4 Three images used in the Tower Scene experiment and reconstructed model and camera pose.  ... 
doi:10.1109/cvpr.2009.5206593 dblp:conf/cvpr/Kim09 fatcat:xtvhadfvjvbfbhqibgweb6r4ri

Camera Calibration and Scene Modeling from Arbitrary Parallelograms Imposing the Multiview Constraints

Jae-Hean Kim, Bon-Ki Koo
2010 Procedings of the British Machine Vision Conference 2010  
This paper proposes a novel framework using geometric information on parallelograms for camera calibration and scene modeling.  ...  The previous parallelogram-based approaches solving the problem linearly cannot guarantee this consistency because they are based on the infinite homographies extracted from the individual pairs of camera  ...  There have been many methods to use the constraints from scene geometry: vanishing points [2] , vanishing points and planes [10] , [6] , planes [16] , [11] , [17] , parallelepipeds [21] , c 2010  ... 
doi:10.5244/c.24.92 dblp:conf/bmvc/KimK10 fatcat:ep4modjzgncm5dv6pqot2q2axu

Extraction, matching, and pose recovery based on dominant rectangular structures

Jana Košecká, Wei Zhang
2005 Computer Vision and Image Understanding  
In this paper we present an approach for automatic extraction of dominant rectangular structures from a single view and show how they facilitate the recovery of camera pose, planar structure and matching  ...  Since in the presented approach the rectangular hypothesis formation is based on a higher level information encoded by the presence of orthogonal vanishing directions, the dominant rectangular structures  ...  Partially calibrated camera and linearly parameterized models have been used for the recovery of 3D structure from a single view [5] .  ... 
doi:10.1016/j.cviu.2005.04.005 fatcat:d35of5e6lzchhmwwu4jgxagki4

Photorealistic Large-Scale Urban City Model Reconstruction

C. Poullis, Suya You
2009 IEEE Transactions on Visualization and Computer Graphics  
First, a novel, extendible, parameterized geometric primitive is presented for the automatic building identification and reconstruction of building structures.  ...  In this work we propose a novel method for the rapid reconstruction of photorealistic large-scale virtual environments.  ...  In cases where there are not enough correspondences between the image and the model, vanishing points are used for estimating the parameters.  ... 
doi:10.1109/tvcg.2008.189 pmid:19423889 fatcat:bvxvtwskc5awbppddf4w5omjyy

Structure and motion in urban environments using upright panoramas

Jonathan Ventura, Tobias Höllerer
2012 Virtual Reality  
The images used for modeling may come from offline efforts, or online user contributions.  ...  We first describe how panoramas can be aligned to a common vertical orientation using vertical vanishing point detection, which we show to be robust for a range of inputs.  ...  Acknowledgments Thanks to Chris Coffin and Sehwan Kim for preparing the tripod panorama datasets, and to Google, Inc. for providing the Street View datasets.  ... 
doi:10.1007/s10055-012-0208-3 fatcat:cqtt4vu3lbfmvloxdiverpaglu

Metric 3D reconstruction and texture acquisition of surfaces of revolution from a single uncalibrated view

C. Colombo, A. Del Bimbo, F. Pernici
2005 IEEE Transactions on Pattern Analysis and Machine Intelligence  
In this paper, we address the problem of metric reconstruction and texture acquisition from a single uncalibrated view of a surface of revolution (SOR).  ...  Index Terms Surface of revolution, camera self-calibration, single-view 3D metric reconstruction, texture acquisition, projective geometry, image-based modeling.  ...  In this paper, we address the task of metric reconstruction and texture acquisition from a single uncalibrated image of a SOR.  ... 
doi:10.1109/tpami.2005.14 pmid:15628272 fatcat:ateoiftcx5gb7jwutho5i63fhq

Boundary element techniques for efficient 2-D and 3-D electrical impedance tomography

Ramani Duraiswami, Georges L. Chahine, Kausik Sarkar
1997 Chemical Engineering Science  
An algorithm for imaging the interior of a domain that consists of regions of constant conductivity is developed, that makes use of a simpler parametrization of the shapes of the regions to achieve efficiency.Numerical  ...  results from tests of this algorithm on synthetic data are presented, and show that the method is quite promising.  ...  The study was supported by the National Science Foundation, via grant DMI-9461681 and by Sandia National Laboratories, via contract AO-5480.  ... 
doi:10.1016/s0009-2509(97)00044-4 fatcat:bddbseknojck5l3nsty7yuqdzq
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