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Dergiler / International Electronic Journal of Geometry / 2020 / Cilt: 13 - Sayı: 1

Kinematic Comparison of Exponential and Cayley Maps in the Planar Motion Group

İlhan KARAKILIÇ
Soner ERKUŞ
Sayfa
107–115
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A three joint mechanism is discussed as an application.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this work, the exponential and the Cayley maps, from the Lie algebra $\mathfrak{se(2)}$ of the planar motion group $SE(2)$, to the group itself are studied.
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Temel Bulgular & Veri:The comparison between these maps on $SE(2)$ is given by using the Rodrigues vector.
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Sonuç & Katkı:A three joint mechanism is discussed as an application.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Kinematics · Lie Group · planar motion group

Abstract

In this work, the exponential and the Cayley maps, from the Lie algebra $\mathfrak{se(2)}$ of the planar motion group $SE(2)$, to the group itself are studied. The comparison between these maps on $SE(2)$ is given by using the Rodrigues vector. A three joint mechanism is discussed as an application.

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Bu Makaleye Atıf Yap

KARAKILIÇ, İ., ERKUŞ, S. (2022). Kinematic Comparison of Exponential and Cayley Maps in the Planar Motion Group. International Electronic Journal of Geometry, Cilt: 13 - Sayı: 1, 107–115. https://ajindex.com/articles/539607

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Kaynakça (16)

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