A study of nonlinear multiview varieties
Algebraic Geometry
2023-10-10 v2 Commutative Algebra
Abstract
We study the nonlinear generalization of the classical multiview variety, which is a fundamental concept in computer vision. In this paper, we take the first comprehensive step to develop the nonlinear analogue of multiview varieties. To this end, we introduce a multigraded version of the saturated special fiber ring. By applying this tool, we are able to compute the multidegrees of several families of nonlinear multiview varieties.
Keywords
Cite
@article{arxiv.2112.06216,
title = {A study of nonlinear multiview varieties},
author = {Yairon Cid-Ruiz and Oliver Clarke and Fatemeh Mohammadi},
journal= {arXiv preprint arXiv:2112.06216},
year = {2023}
}
Comments
to appear in Journal of Algebra