Interpolating Rotations with Non-abelian Kuramoto Model on the 3-Sphere [chapter]

Zinaid Kapić, Aladin Crnkić
<span title="2021-11-17">2021</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="" style="color: black;">Lecture Notes in Networks and Systems</a> </i> &nbsp;
The paper presents a novel method for interpolating rotations based on the non-Abelian Kuramoto model on sphere S3. The algorithm, introduced in this paper, finds the shortest and most direct path between two rotations. We have discovered that it gives approximately the same results as a Spherical Linear Interpolation algorithm. Simulation results of our algorithm are visualized on S2 using Hopf fibration. In addition, in order to gain a better insight, we have provided one short video
more &raquo; ... ing the rotation of an object between two positions.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1007/978-3-030-90055-7_48</a> <a target="_blank" rel="external noopener" href="">fatcat:6z5htpkd55cl3mupwfrx6god2e</a> </span>
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