In this survey article, we present interactions between algebraic geometry and computer
vision, which have recently come under the header of algebraic vision. The subject has …

We present a generalization of multiview varieties as closures of images obtained by
projecting subspaces of a given dimension onto several views, from the photographic and …

Critical loci for projective reconstruction from three views in four dimensional projective
space are defined by an ideal generated by maximal minors of suitable 4× 3 matrices, N, of …

This article is a survey of results in algebraic vision and multiview geometry. The starting
point is the study of projective algebraic varieties which are critical for scene reconstruction …

Computer Vision is the study of how computers can understand and classify images as well
as or better than humans, at a fraction of the time. A fundamental problem in this field …

Grassmann tensors arise from classical problems of scene reconstruction in computer
vision. In particular, bifocal Grassmann tensors, related to a pair of projections from a …

This thesis studies mathematical models for describing the geometry of imaging processes
in computer vision. Our approach is rooted in the language of projective geometry, which …

We consider the general problem of reconstructing information of objects in the world-space
from the images of multiple cameras with unknown configuration. Here, the cameras are …

コンピュータビジョンにおける 3 次元形状の再構成間題とは, カメラによって撮影された写真から 3
次元空間の中にある被写体の形状を復元する手続きにまつわる間題のことである. 現在 …