Abstract: Conformal Geometric Algebra is a kind of new geometric representation and geometric computation tool. In this paper, an approach to the inverse kinematics of a serial manipulator is ...

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 ...

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 ...

Geometric Algebra (GA) has emerged as a transformative framework in power systems analysis, offering a unified mathematical language that extends classical vector and complex number techniques. By ...

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 ...

Abstract: Adaptive filters based on geometric algebra have demonstrated remarkable success in various applications, such as computer vision, data fusion, and linear prediction, particularly when ...

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 ...

ABSTRACT: Geometric Algebra formalism opens the door to developing a theory deeper than conventional quantum mechanics. Generalizations, stemming from implementation of complex numbers as ...