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Was ist Geometrie, was ist Optimierung? for applications in computer vision and kinematics. We start with an introduction to 4D geometric algebra for 3D kinematics. Then we reformulate, using 3D and 4D geometric algebras, the classic model for the 3D motion of vectors. Finally, we compare both models, that is, the one using 3D Euclidean

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Standortrisiko Wohlfahrtsstaat?onformal geometric algebra framework, we decided to derive all the equations to treat the geometric relations and generation of constraints between points, lines, planes, circles, and spheres using incidence algebra, directed distance in conformal geometric algebra .. For example, we have five geome

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https://doi.org/10.1007/978-3-322-88613-2ed in terms of Plücker coordinates and the points and planes in terms of bivectors. The reader can find a comparison of representations of points, lines, and planes using vector calculus, . and . in Chap. 7 of [.]. Extending the degrees of freedom of the mathematical system, in the conformal geometr

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Oliver Farhauer,Alexandra Kröll transforms. In addition, we will study the quaternion fractal Fourier transform, the quaternion Radon transform, and the quaternion quantum Fourier transform. We will show that using the mathematical system of geometric algebra it is possible to develop different kinds of Clifford Fourier and wavel

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