We present a method to recover the 3D flying shape of a sail using passive markers. In the navigation and naval architecture domain, retrieving the sail shape may be of immense value to confirm or contest simulation results, and to aid the design of new optimal sails. Our acquisition setup is very simple and low-cost, as it is only necessary to fix a series of printable markers on the sail and register the flying shape in real sailing conditions from a side vessel with a single camera. We reconstruct the average sail shape during an interval where the sailor maintains the sail as stable as possible. The average is further improved by a Bundle Adjustment algorithm. We tested our method in a real sailing scenario and present promising results. Quantitatively, we show the precision in regards to the reconstructed markers area and the reprojected points. Qualitatively, we present feedback from domain experts who evaluated our results and confirmed the usefulness and quality of the reconstructed shape.

我们提出一种使用被动标记恢复帆的3D飞行形状的方法。在航行和海军建筑领域，检索帆形对于确认或反驳模拟结果以及帮助设计新的最佳帆具有巨大价值。我们的购置设置非常简单且成本低廉，因为只需要在船帆上固定一系列可打印的标记，并使用单个摄像机从副船上记录实际航行条件下的飞行形状即可。在水手保持帆尽可能稳定的时间间隔内，我们重建平均帆形状。通过捆绑调整算法进一步提高了平均值。我们在实际航行情况下测试了我们的方法，并提出了可喜的结果。数量上，我们显示了关于重构标记区域和重投影点的精度。定性地，我们提供领域专家的反馈，他们评估了我们的结果并确认了重构形状的有用性和质量。