Invariant linear methods in photogrammetry and model-matching
Geometric invariance in computer vision
Trilinearity in visual recognition by alignment
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
QuickTime VR: an image-based approach to virtual environment navigation
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A Paraperspective Factorization Method for Shape and Motion Recovery
IEEE Transactions on Pattern Analysis and Machine Intelligence
Affine Structure from Line Correspondences With Uncalibrated Affine Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Calibration-Free Augmented Reality
IEEE Transactions on Visualization and Computer Graphics
Structure and Motion from Line Segments in Multiple Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
What can be seen in three dimensions with an uncalibrated stereo rig
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator
FCRC '96/WACG '96 Selected papers from the Workshop on Applied Computational Geormetry, Towards Geometric Engineering
Novel view synthesis in tensor space
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Physically-Valid View Synthesis by Image Interplation
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
A linear method for reconstruction from lines and points
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Weak calibration and image-based rendering algorithms
Weak calibration and image-based rendering algorithms
Parameterized Image Varieties: A Novel Approach to the Analysis and Synthesis of Image Sequences
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
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This paper generalizes the parameterized image variety approach to image-based rendering proposed in so it can handle both points and lines in a unified setting. We show that the set of all images of a rigid set of m points and n lines observed by a weak perspective camera forms a six-dimensional variety embedded in R2(m+n). A parameterization of this variety by the image positions of three reference points is constructed via least squares techniques from point and line correspondences established across a sequence of images. It is used to synthesize new pictures without any explicit 3D model. Experiments with real image sequences are presented.