Deciding whether two quadratic surfaces actually intersect

2020/12/18 by Huu-Quang Nguyen, Nguyen, Huu-Quang, Ruey-Lin Sheu +3
Computer Science · Engineering · Mathematics · #90C20 #90C22 #90C26 #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #F.2 #FOS: Mathematics #Optimization and Control (math.OC) #Polynomial and algebraic computation #acm:90C20 #acm:90C22 #acm:90C26 #math.OC #msc:90C20 #msc:90C22 #msc:90C26

paper · pdf · doi:10.48550/arxiv.2012.10318

arxiv created 2020/12/18 · openalex publication_date 2020/12/18 · arxiv updated 2020/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We answer an open question proposed by Pólik and Terlaky in 2007 that: \it how we can decide whether two quadratic surfaces intersect without actually computing the intersections?

Related

• When do Ten Points Lie on a Quadric Surface?
• A resultant approach to detect intersecting curves in \PP³
• Eine Bemerkung über positiv definite quadratische Formen und rationale Punkte
• Conic and Quadric surfaces
• Intersection pairing and intersection motive of surfaces