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

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Complex Numbers,bers fail. Although the reader may have already studied complex numbers, this chapter revises their basic features such as the modulus, addition and subtraction, multiplication by a scalar, products, the complex conjugate, division and the inverse. The second part of the chapter covers the complex p

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Vectors,alar product, vector product, addition and subtraction, position vectors, unit vectors, Cartesian vectors, normal vectors and vector interpolation. The chapter contains numerous worked examples to develop the reader’s skill so that they are prepared for the chapters on quaternions and multivectors.

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Multivectors,ticular, the rotational qualities of bivectors. The chapter begins with the trigonometric and vector basis for Grassmann’s algebra, that include the inner and outer products that become united by Clifford’s geometric product. These are explored in 2D and 3D. The chapter then covers the axioms associ

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Rotation Transforms in Space,o translate and rotate a point about Cartesian, off-set and arbitrary axes. It then explores Euler composite rotations and illustrates their major weakness – gimbal lock. Matrix transforms are then developed for yaw, pitch and roll rotations..Two approaches for developing a rotation transform about

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