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Jim Van Verth - Essential Math for Games Programmers

Jim Van Verth - Essential Math for Games Programmers

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Rodrigues Rotation Theorem Follows from Euler’s theorem Given axis , angle , and point ˆr θ p, rotation is R(ˆr, θ, p)=p cos θ +(ˆr × p)sinθ + ˆr(ˆr • p)(1 − cos θ) Benjamin Olinde Rodrigues (1795–1851), more commonly known as Olinde Rodrigues, was a French mathematician who is best known for his formula for Legendre polynomials.

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