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	Applications of quaternions and Clifford algebras in robotics Hujňák, Jaroslav ; Hrdina, Jaroslav (referee) ; Návrat, Aleš (advisor) This bachelor thesis focuses on Clifford algebras and their subalgebras, quaternions and geometric algebra G(3, 1). The thesis describes teoretical basis of Clifford algebras, which is used in chapter dedicated to geometric algebra G(3, 1). Examples of applications geometric algebra G(3, 1) in robotic systems are shown by using transformations and objects of that algebra. Detailed record
	Identification of 3D objects for Robotic Applications Hujňák, Jaroslav ; Návrat, Aleš (referee) ; Matoušek, Radomil (advisor) This thesis focuses on robotic 3D vision for application in Bin Picking. The new method based on Conformal Geometric Algebra (CGA) is proposed and tested for identification of spheres in Pointclouds created with 3D scanner. The speed, precision and scalability of this method is compared to traditional descriptors based method. It is proved that CGA maintains the same precision as the traditional method in much shorter time. The CGA based approach seems promising for the use in the future of robotic 3D vision for identification and localization of spheres. Detailed record
	Identification of 3D objects for Robotic Applications Hujňák, Jaroslav ; Návrat, Aleš (referee) ; Matoušek, Radomil (advisor) This thesis focuses on robotic 3D vision for application in Bin Picking. The new method based on Conformal Geometric Algebra (CGA) is proposed and tested for identification of spheres in Pointclouds created with 3D scanner. The speed, precision and scalability of this method is compared to traditional descriptors based method. It is proved that CGA maintains the same precision as the traditional method in much shorter time. The CGA based approach seems promising for the use in the future of robotic 3D vision for identification and localization of spheres. Detailed record
	Applications of quaternions and Clifford algebras in robotics Hujňák, Jaroslav ; Hrdina, Jaroslav (referee) ; Návrat, Aleš (advisor) This bachelor thesis focuses on Clifford algebras and their subalgebras, quaternions and geometric algebra G(3, 1). The thesis describes teoretical basis of Clifford algebras, which is used in chapter dedicated to geometric algebra G(3, 1). Examples of applications geometric algebra G(3, 1) in robotic systems are shown by using transformations and objects of that algebra. Detailed record

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4	Hujňák, Jan

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