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Having spent a lot of time pondering the octonionic projective plane and its possible role in the Standard Model of particle physics, I’m now getting interested in the ‘bioctonionic plane’, which is ...

The portly, balding sculptor-turned-architect must have drawn a few curious gazes as he set up a complicated painting apparatus in the corner of a Renaissance-era piazza. He planted his instrument, ...

Abstract: Parallel lines, common geometric elements in daily environments, can form vanishing points in projective geometry. In this article, we introduce a novel method for the extrinsic calibration ...

Data tend to live in low-dimensional nonlinear subspaces. The framework of Riemannian geometry can take such nonlinearity into account: If set up properly, data seem to lie on low-dimensional linear ...

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Projective geometry is a prominent area in many fields including art, design, architecture, and mathematics, but how it can contribute to children’s spatial reasoning as well as a supplementary ...

Graduate School of Science and Technology, Keio University, 7-1 Shinkawasaki, Saiwai-ku, Kawasaki, Kanagawa 212-0032, Japan Quantum Computing Center, Keio University, 3-14-1 Hiyoshi, Kohoku-ku ...

Abstract: The theory of schemes plays a crucial role in modern algebraic and arithmetic geometry. It enables us to work over arbitrary rings instead of just the complex field, which makes it ...

Abstract: This article describes an approach for extracting multiple planar regions in 3-D point clouds from spinning multibeam LiDARs. This technique benefits from the intrinsic structure of LiDARs ...