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Please use this identifier to cite or link to this item: `http://acervodigital.unesp.br/handle/11449/100404`
Title:
Rotações tridimensionais em biomecânica via quatérnions: aplicações na análise dos movimentos esportivos
Author(s):
Institution:
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Abstract:
• Mathematical approaches have been utilized to describe joint rotational components during human movement, such as the rotational matrices, Euler angles, Cardan angles, helical axis, and quaternions, in which the last one is the least employed in biomechanics. The objective of the present study was to present and apply the quaternions method as a biomechanical tool to analyze rotation in sport movements. Thus, the thesis was divided into three chapters. In the first chapter, the basic quaternion definitions and properties are presented and discussed, along with the mathematical calculations for the conversion among the three most used methods to describe rotations in three-dimensional space (rotational matrices, Euler angles, and quaternions). In the second chapter, the procedures to calculate the quaternions and Euler angles are presented by means of kinematic variables. The third chapter submitted three applications of quaternions. The first the quaternions were used to describe the rotational movement of the human knee joint during a landing task; the second the quaternions and Euler angle were used to describe the rotational movement of the ankle joint of the foot of support during a soccer kick; In the third application opted-to implement simulations of movements for the study of quaternions. It was conclude that the representation of rotational movements observed in human joints by means of the quaternions is an interesting alternative because it is possible to represent the joint rotational axis with fairly simple mathematical calculations when compared to other forms of representation. The quaternions provide a more adequate representation system to operate rotations without constraints. This is a relevant topic once movements are product of internal and external forces that result in rotations through axis (quaternions), which naturally occurs repeatedly in human joints.
Issue Date:
6-Feb-2009
Citation:
SANTIAGO, Paulo Roberto Pereira. Rotações tridimensionais em biomecânica via quatérnions: aplicações na análise dos movimentos esportivos. 2009. 95 f. Tese (doutorado) - Universidade Estadual Paulista, Instituto de Biociências de Rio Claro, 2009.
Time Duration:
95 f. : il., tabs., gráfs.
Publisher:
Keywords:
• Cinesiologia
• Biomecânica
• Quaternios
• Quatérnions
• Ângulos de Euler
• Euler angle
• Representation of rotations
• Biomechanics
URI:
Access Rights:
Acesso aberto
Type:
outro
Source:
http://repositorio.unesp.br/handle/11449/100404
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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