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鬼魂

On the Use of Conformal Geometric Algebra in Geometric Constraint Solvingd framework for geometric objects representation and geometric constraints solving. Based on TTRS, this chapter shows the capability of the CGA to represent geometric objects and geometric constraints through symbolic geometric constraints solving and algebraic classification.

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懒洋洋

Rigid Body Dynamics and Conformal Geometric Algebras of a generalised ‘moment of inertia tensor’ are given. The development includes the effects of external forces and torques on the body. To illustrate its practical applications, we give a brief overview of a prototype multi-rigid-body physics engine implemented using 5D conformal objects as the variables.

爱国者

Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences Through Reflectionsra, where the resulting transformation is represented by a versor. As a direct result of this algorithm, we also present a very compact and fast formula to compute a quaternion from two vector correspondences, a surprisingly elementary result which appears to be new.

Chameleon

FRET

Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singu.As an application of the use of the ℝ. model of line geometry, this chapter analyzes the inverse singularity analysis of generalized Stewart platforms, using vectors of ℝ. to encode the force and torque wrenches to classify their singular configurations.

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