Titlebook: Rotation Transforms for Computer Graphics; John Vince Textbook 2011 Springer-Verlag London Limited 2011 Computer graphics/ games.Geometric

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Bivector Rotors,axes. The three reflections theorem is used to show how geometric algebra creates similar triple constructs to quaternions. It then develops 2D and 3D rotors and shows using practical examples how they work. After showing how to extract a rotor from a bivector triple, the chapter concludes with a su

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Regurgitation

Matrices,tisymmetric matrices, the characteristic equation, eigenvectors and eigenvalues. The latter are eventually used to extract the axis of rotation from a rotation matrix and the angle of rotation. The chapter concludes with a summary and a list of the matrix operations covered.

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Textbook 2011al environment. Although the former is a trivial operation, the latter can be a challenging task.?.Rotation Transforms for Computer Graphics. covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples an

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https://doi.org/10.1007/978-0-85729-154-7Computer graphics/ games; Geometric algebra; Matrices; Quaternions; Rotations

引起

978-0-85729-153-0Springer-Verlag London Limited 2011

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Conclusion,This last chapter reviews the book’s objectives.

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