关于空间曲线的凸包
On the convex hull of a space curve
摘要：
实三维空间中紧致代数曲线的凸包的边界定义了实代数曲面。对于一般的曲线，边界曲面是可约的，由三切平面和一卷固定的二等分线组成。我们用曲线的度、亏格和奇点来表示曲面的度。我们提出的算法计算其定义多项式，我们展示了广泛的例子。
英文摘要：
The boundary of the convex hull of a compact algebraic curve in real 3-space defines a real algebraic surface. For general curves, that boundary surface is reducible, consisting of tritangent planes and a scroll of stationary bisecants. We express the degree of this surface in terms of the degree, genus and singularities of the curve. We present algorithms for computing their defining polynomials, and we exhibit a wide range of examples.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
