金谷 健一『幾何学と代数系 Geometric Algebra -ハミルトン,グラスマン,クリフォード』のレビュー アメリカの物理学者ヘステネスを中心に提唱された「幾何学的代数」(geometric algebra) に関する教科書。例を3次元に限定し，その応用に重点を置いている。 もくじ ...

幾何代数（geometric algebra）は、英国の数学者 W.K.Clifford（1845-1879）が1878年に発表した代数の一種である。 以下のように紹介される。 （幾何学的代数は）物理学の各分野を統合するものである。また、ロボット工学、信号処理、光源追跡法、仮想現実 ...

Abstract: Many problems in robotics are fundamentally problems of geometry, which have led to an increased research effort in geometric methods for robotics in recent years. The results were ...

This repository contains the official implementation of the Geometric Algebra Transformer by Johann Brehmer, Pim de Haan, Sönke Behrends, and Taco Cohen, published at NeurIPS 2023. Problems involving ...

Abstract: Geometric problems in visual computing (computer graphics, computer vision, and image processing) are typically modeled and solved using linear algebra (LA). Thus, vectors are used to ...

Recent RNN models deal with various dimensions of MTS as independent channels, which may lead to the loss of dependencies between different dimensions or the loss of associated information between ...

Multi-modal medical image fusion can reduce information redundancy, increase the understandability of images and provide medical staff with more detailed pathological information. However, most of ...

This project is dedicated to the development of a Transformer-based architecture introduced in [1] designed specifically for handling geometric data. The primary objective is to create a model ...

The research considers wavelike objects that are elements of even subalgebra of geometric algebra in three dimensions. The used formalism particularly eliminates long existing confusion about the ...