CAJ | 학술논문

提出一种构造插值给定离散曲率线的近似可展的离散曲面的算法。首先，计算离散Frenet标架。其次将其旋转得到一族旋转最小标架，通过指定已知曲线某点处的曲面法向来选择其一。最后，用它来实时地构建近似可展的离散曲面。该算法具有很好的交互性，而且所得曲面拥有插值性、良好的可展性和光顺性。实验结果表明，该算法简单、有效，富有潜在应用价值。
제출일충구조삽치급정리산곡솔선적근사가전적리산곡면적산법。수선，계산리산Frenet표가。기차장기선전득도일족선전최소표가，통과지정이지곡선모점처적곡면법향래선택기일。최후，용타래실시지구건근사가전적리산곡면。해산법구유흔호적교호성，이차소득곡면옹유삽치성、량호적가전성화광순성。실험결과표명，해산법간단、유효，부유잠재응용개치。
This paper proposes an algorithm to design almost developable meshes interpolating a given discrete line of curvature. First of all, compute the discrete Frenet frame of the given curve. Then rotate this frame to get the rotation minimizing frames. Select one of them by assigning the normal vector of the resulting surface at some vertex of the given discrete line. Finally, use it to construct an almost developable mesh in real time. This algo-rithm has very good interactivity, and the obtained interpolatory meshes possess good developability and smoothness. The experiment results show that this algorithm is very simple and efficient, and it has big potential value in practical application.