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Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singue group of 3D special projective transformations .(4) when acting upon points in space induces a Lie group isomorphism, with .(3,3) acting upon lines..As an application of the use of the ℝ. model of line geometry, this chapter analyzes the inverse singularity analysis of generalized Stewart platform
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A Framework for ,-Dimensional Visibility Computationsn many other scientific domains. While it is well understood in two dimensions, this does not remain true in higher-dimensional spaces..Grassmann Algebra allows to think about visibility at a high level of abstraction and to design a framework for solving visibility problems in any .-dimensional spa
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Comparative ecology of congeneric species,s a forward and backward iterative approach, finding each joint position via locating a point on a line. We use the IK of a human hand as an example of implementation where a constrained version of FABRIK was employed for pose tracking. The hand is modelled using CGA, taking advantage of CGA’s compa
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Social Insurance and Older People in Cyprus of such transformations, especially for the subclass of 3D rigid body motions. This chapter gives explicit formulas for the square root and the logarithm of rotors in 3D CGA. It also classifies the types of conformal transformations and their orbits. To derive the results, we employ a novel polar d
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https://doi.org/10.1007/978-3-030-34964-6DCM), for example, to track attitude based on angular velocity data, and to integrate the linear velocity data separately in a suitable frame. In this chapter we make the case for using bivectors as the attitude tracking method of choice since several features make their performance and flexibility
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