Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants

DOI10.1016/j.cagd.2023.102253OpenAlexW4387619055MaRDI QIDQ6143340

Falai Chen, Xiaohong Jia, Kai Li

Publication date: 4 January 2024

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2023.102253

zbMATH Keywords

implicitizationmoving planebase pointnumerically stable algorithmDixon resultant matrixrational parametric surface

Mathematics Subject Classification ID

Complexity and performance of numerical algorithms (65Y20) Computer-aided design (modeling of curves and surfaces) (65D17) Numerical algebraic geometry (65H14)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Implicitizing rational surfaces using moving quadrics constructed from moving planes
• Fast computation of the Bézout and Dixon resultant matrices
• An improved algorithm for constructing moving quadrics from moving planes
• On the validity of implicitization by moving quadrics for rational surfaces with no base points
• Implicitizing rational surfaces without base points by moving planes and moving quadrics
• The \(\mu \)-basis and implicitization of a rational parametric surface
• Computing singular points of plane rational curves
• A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics
• Implicit representation of parametric curves and surfaces
• Determinantal tensor product surfaces and the method of moving quadrics

This page was built for publication: Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants