Parameterized Image Varieties: A Novel Approach to the Analysis and Synthesis of Image Sequences
Abstract
This paper addresses the problem of characterizing the space formed by all images of a rigid set of n points observed by a weak perspective or paraperspective camera. By taking explicitly into account the Euclidean constraints associated with calibrated cameras, we show that this space is a six-dimensional variety embedded in R/sup 2n/, and parameterize it using the image positions of three reference points. This parameterization is constructed via linear least squares from point correspondences established across a sequence of images, and it is used to synthesize new pictures without any explicit three-dimensional model. Degenerate scene and camera configurations are analyzed, and experiments with real image sequences are presented.
Cite
Text
Genc and Ponce. "Parameterized Image Varieties: A Novel Approach to the Analysis and Synthesis of Image Sequences." IEEE/CVF International Conference on Computer Vision, 1998. doi:10.1109/ICCV.1998.710695Markdown
[Genc and Ponce. "Parameterized Image Varieties: A Novel Approach to the Analysis and Synthesis of Image Sequences." IEEE/CVF International Conference on Computer Vision, 1998.](https://mlanthology.org/iccv/1998/genc1998iccv-parameterized/) doi:10.1109/ICCV.1998.710695BibTeX
@inproceedings{genc1998iccv-parameterized,
title = {{Parameterized Image Varieties: A Novel Approach to the Analysis and Synthesis of Image Sequences}},
author = {Genc, Yakup and Ponce, Jean},
booktitle = {IEEE/CVF International Conference on Computer Vision},
year = {1998},
pages = {11-16},
doi = {10.1109/ICCV.1998.710695},
url = {https://mlanthology.org/iccv/1998/genc1998iccv-parameterized/}
}