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16 changes: 8 additions & 8 deletions index.html
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<meta property="og:url" content="https://roahmlab.github.io/RAPTOR/" />
<meta property="og:type" content="website" />
<meta property="og:title" content="RAPTOR: RAPid and Robust Trajectory Optimization for Robots" />
<meta property="og:title" content="RAPTOR: RAPid and robust Trajectory Optimization for Robots" />
<meta property="og:description" content="Dynamic locomotion for humanoid robots presents significant analytical and computational challenges due to the extensive number of linkages and degrees of freedom. This complexity results in a vast search space for feasible gaits which translates into a time-consuming process when optimizing over trajectories. In addition, the process often involves numerous hyperparameters and requires a good initial guess or a warm-start strategy, further complicating the development process. Existing methods struggle to integrate the latest hardware designs, such as actuated ankles with closed-loop mechanisms, which offer increased stability, but introduce additional constraints into the dynamics that can be challenging to represent in a computationally tractable fashion. This work introduces a generalized gait optimization framework that directly generates smooth and physically feasible trajectories. The proposed method demonstrates faster and more robust convergence than existing techniques and explicitly incorporates closed-loop constraints. The method is implemented as an open-source C++ codebase that significantly reduces computation times, facilitating dynamic locomotion for full-size humanoids." />


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</div>

<h1 style="text-align: center; margin-bottom: 0; color: #8C1515; font-size: 300%">RAPTOR</h1>
<h2 style="text-align: center; white-space: nowrap; font-size: 200%">RAPid and Robust Trajectory Optimization for Robots</h2>
<h2 style="text-align: center; white-space: nowrap; font-size: 200%">RAPid and robust Trajectory Optimization for Robots</h2>

<!-- TODO: fill in demos -->
<!-- <div class="box alt" style="margin-bottom: 1em;">
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<section>
<div class="box alt" style="margin-bottom: 1em;">
<div class="row 50% uniform" style="width: 100%">
<div class="2u" style="font-size: 1em; line-height: 1.5em; text-align: center; width: 12.5%">
<div class="2u" style="font-size: 1em; line-height: 1.5em; text-align: center; width: 50%">
<a href="https://cfather.github.io/jimzhang.github.io/"><span class="image fit" style="margin-bottom: 0.5em;">
<img src="images/bohao.jpg" alt="" style="border-radius: 50%;" /></span>Bohao Zhang<sup>1</sup></a></div>
<img src="images/bohaophoto.jpg" alt="" style="border-radius: 50%;" /></span>Bohao Zhang<sup>1</sup></a></div>

<a href="https://www.roahmlab.com/ram-personal"><span class="image fit" style="margin-bottom: 0.5em;">
<img src="images/ramv.jpg" alt="" style="border-radius: 50%;" /></span>Ram Vasudevan<sup>2</sup></a></div>
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</div>
</section>
<p>
<sup>1</sup> Robotics Institute, University of Michigan, Ann Arbor &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<sup>2</sup> Mechanical Engineering, University of Michigan, Ann Arbor &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<sup>1</sup> Robotics Institute, University of Michigan, Ann Arbor
<sup>2</sup> Mechanical Engineering, University of Michigan, Ann Arbor
</p>

<h3>BibTeX</h3>
<!-- TODO: fill in bibtex -->
<!-- <h3>BibTeX</h3>
<pre><code>@inproceedings{chi2024universal,
<!-- <pre><code>@inproceedings{chi2024universal,
title={Universal Manipulation Interface: In-The-Wild Robot Teaching Without In-The-Wild Robots},
author={Chi, Cheng and Xu, Zhenjia and Pan, Chuer and Cousineau, Eric and Burchfiel, Benjamin and Feng, Siyuan and Tedrake, Russ and Song, Shuran},
booktitle={Proceedings of Robotics: Science and Systems (RSS)},
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