A brief introduction to Clifford algebra

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Abstract

Geometric algebra (also known as Clifford algebra) is a powerful mathematical tool that offers a natural and direct way to model geometric objects and their transformations. It is gaining growing attention in different research fields as physics, robotics, CAD/CAM and computer graphics. Clifford algebra makes geometric objects (points, lines and planes) into basic elements of computation and defines few universal operators that are applicable to all types of geometric elements. This paper provides an introduction to Clifford algebra elements and operators.
Lingua originaleEnglish
Stato di pubblicazionePublished - 2010

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Clifford Algebra
Geometric object
Geometric Algebra
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Computer graphics
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abstract = "Geometric algebra (also known as Clifford algebra) is a powerful mathematical tool that offers a natural and direct way to model geometric objects and their transformations. It is gaining growing attention in different research fields as physics, robotics, CAD/CAM and computer graphics. Clifford algebra makes geometric objects (points, lines and planes) into basic elements of computation and defines few universal operators that are applicable to all types of geometric elements. This paper provides an introduction to Clifford algebra elements and operators.",
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author = "Filippo Sorbello and Giorgio Vassallo and Franchini, {Silvia Giuseppina}",
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AU - Vassallo, Giorgio

AU - Franchini, Silvia Giuseppina

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AB - Geometric algebra (also known as Clifford algebra) is a powerful mathematical tool that offers a natural and direct way to model geometric objects and their transformations. It is gaining growing attention in different research fields as physics, robotics, CAD/CAM and computer graphics. Clifford algebra makes geometric objects (points, lines and planes) into basic elements of computation and defines few universal operators that are applicable to all types of geometric elements. This paper provides an introduction to Clifford algebra elements and operators.

KW - Clifford algebra; geometric algebra

UR - http://hdl.handle.net/10447/58432

UR - http://www.dinfo.unipa.it/~franchini/CliffTechRep.pdf

M3 - Other contribution

ER -