Q-Warping: Direct Computation of Quadratic Reference Surfaces
Abstract
We consider the problem of wrapping around an object, of which two views are available, a reference surface and recovering the resulting parametric flow using direct computations (via spatio-temporal derivatives). The well known examples are affine flow models and B-parameter flow models - both describing a flow field of a planar reference surface. We extend those classic flow models to deal with a quadric reference surface and work out the explicit parametric form of the flow field. As a result we derive a simple warping algorithm that maps between two views and leaves a residual flow proportional to the 30 deviation of the surface from a virtual quadric surface. The applications include image morphing, model building, image stabilization, and disparate view correspondence.
Cite
Text
Wexler and Shashua. "Q-Warping: Direct Computation of Quadratic Reference Surfaces." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1999. doi:10.1109/CVPR.1999.786960Markdown
[Wexler and Shashua. "Q-Warping: Direct Computation of Quadratic Reference Surfaces." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1999.](https://mlanthology.org/cvpr/1999/wexler1999cvpr-q/) doi:10.1109/CVPR.1999.786960BibTeX
@inproceedings{wexler1999cvpr-q,
title = {{Q-Warping: Direct Computation of Quadratic Reference Surfaces}},
author = {Wexler, Yonatan and Shashua, Amnon},
booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
year = {1999},
pages = {1333-1338},
doi = {10.1109/CVPR.1999.786960},
url = {https://mlanthology.org/cvpr/1999/wexler1999cvpr-q/}
}