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arXiv · 2112.06216

A study of nonlinear multiview varieties

Yairon Cid-Ruiz·Oliver Clarke·Fatemeh Mohammadi
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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.

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Yairon Cid-Ruiz, Oliver Clarke, Fatemeh Mohammadi. 2021-12-12. A study of nonlinear multiview varieties. https://arxiv.org/abs/2112.06216

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