Systematic Construction of Single Determinants Representing Sparse Resultants

代表稀疏结果的单行列式的系统构建

• 批准号: 0203315
• 负责人: Ronald Goldman
• 金额: --
• 依托单位: William Marsh Rice University
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-06-15 至 2009-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0203315&HistoricalAwards=false
• 关键词: Systematic; Construction; Single; Determinants; Representing

ABSTRACT 0203315Ronald GoldmanWilliam Marsh Rice UResultants have many applications in Computational Science and Engineering. They are a powerful tool for determining whether or not a system of polynomial equations have a common root for solving for the common roots when they exist. Resultants are currently employed to compute intersections of rational curves and surfaces, to solve inverse kinematics problems, and to analyze dynamic systems. Robotics, Computer vision, Comptuer Graphics, Solid Modeling, and Computer Aided Geometric Design all utilize resultants.

在计算科学与工程中有许多应用。 它们是一个强大的工具，用于确定多项式方程组是否有公共根，以便在公共根存在时求解。 结式目前被用来计算有理曲线和曲面的交点，求解逆运动学问题，以及分析动力系统。 机器人技术、计算机视觉、计算机图形学、实体建模和计算机辅助几何设计都使用结果。