http://localhost:1313/tags/optimization-method/ Recent content in Optimization Method on Ying-Shan Chen@TW ~ $ Hugo en-us Wed, 15 Apr 2026 00:00:00 +0000 http://localhost:1313/projects/projects_cg/kinematics/ Wed, 15 Apr 2026 00:00:00 +0000 http://localhost:1313/projects/projects_cg/kinematics/ <p>🔗 See more details about <a href="https://github.com/ChenYingShan1114/Forward-and-Inverse-Kinematics">kinematics</a>, forked from the projects in computer graphics course at University of Toronto.</p> <h2 id="forward-kinematic">Forward Kinematic</h2> <p>Provide keyframes and use Catmull-Rom interpolation to simulate animation.</p> <ul> <li> <h3 id="robot-arm">robot arm</h3> </li> </ul> <p align="center"> <video src="http://localhost:1313/self/mp4/projects_cg/Kinematics/robot-arm-forward.mp4" controls type="video/mov" width="600"></video> </p> <ul> <li> <h3 id="chimpanzee-hand">chimpanzee hand</h3> </li> </ul> <p align="center"> <video src="http://localhost:1313/self/mp4/projects_cg/Kinematics/chimpanzee-hand-forward.mp4" controls type="video/mov" width="600"></video> </p> <h2 id="inverse-kinematic">Inverse Kinematic</h2> <p>Users interact with the endpoints of each bone, and the Levenberg-Marquardt algorithm is used to optimize the results.</p> <ul> <li> <h3 id="robot-arm-1">robot arm</h3> </li> </ul> <p align="center"> <video src="http://localhost:1313/self/mp4/projects_cg/Kinematics/robot-arm-inverse.mp4" controls type="video/mov" width="600"></video> </p> <ul> <li> <h3 id="chimpanzee-hand-1">chimpanzee hand</h3> </li> </ul> <p align="center"> <video src="http://localhost:1313/self/mp4/projects_cg/Kinematics/chimpanzee-hand-inverse.mp4" controls type="video/mov" width="600"></video> </p> <ul> <li> <h3 id="ikea-lamp">ikea lamp</h3> </li> </ul> <p align="center"> <video src="http://localhost:1313/self/mp4/projects_cg/Kinematics/ikea-lamp-inverse.mp4" controls type="video/mov" width="600"></video> </p> <ul> <li> <h3 id="knight">knight</h3> </li> </ul> <p align="center"> <video src="http://localhost:1313/self/mp4/projects_cg/Kinematics/knight-inverse.mp4" controls type="video/mov" width="600"></video> </p> <ul> <li> <h3 id="beast">beast</h3> </li> </ul> <p align="center"> <video src="http://localhost:1313/self/mp4/projects_cg/Kinematics/beast-inverse.mp4" controls type="video/mov" width="600"></video> </p> <h2 id="reference">Reference</h2> <ol> <li><a href="https://en.wikipedia.org/wiki/Catmull–Rom_spline">Catmull–Rom spline</a></li> <li><a href="https://en.wikipedia.org/wiki/Levenberg-Marquardt_algorithm">Levenberg–Marquardt algorithm</a></li> </ol>