报告题目：Theory and Applications of Moving Curves and Moving Surfaces in Geometric Modeling

报 告 人：贾晓红研究员（中国科学院数学与系统科学研究院）

报告时间：2024年12月13日  15:30-16:30

报告地点：数学研究中心报告厅（腾讯会议：88369262180）

报告摘要：

Moving curves and moving surfaces serve as a bridge between the parametric forms and implicit forms of rational curves and surfaces. Their algebraic counterparts are special syzygies of the parametric equations of rational curves or surfaces. Over the past thirty years, the technique of moving curves and moving surfaces have been proven to be significant in solving many important problems in geometric modeling, such as fast implicitization, intersection computation, singularity computation, reparametrization as well as providing easy inversion formulas for points. We review our research on μ-bases theory and applications for rational curves and surfaces over the past ten years, and raise unsolved problems for future research.

报告人简介：

贾晓红，中国科学院数学与系统科学研究院研究员。主持国家重点研发计划青年科学家项目、国家优秀青年基金、中国科学院战略先导B专项项目。任中国数学会理事、中国数学会计算机数学专委会副主任、中国工业与应用数学学会几何设计与计算专委会副主任、中国科学院数学机械化中心副主任。曾获中国工业与应用数学学会应用数学青年科技奖、全国几何设计与计算青年学者奖、中国科学院三红旗手、华夏建设科学技术一等奖。研究方向为计算代数几何、计算几何、计算机辅助设计（CAD）。