A general approach to d-dimensional geometric queries

1985 ◽  
Author(s):  
A C Yao ◽  
F F Yao
Keyword(s):  
Geometric Queries

scholarly journals On the Implicit Equation of Conics and Quadrics Offsets

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1784
Author(s):  
Jorge Caravantes ◽  
Gema M. Diaz-Toca ◽  
Mario Fioravanti ◽  
Laureano Gonzalez-Vega
Keyword(s):  
Three Dimensions ◽  
Analytic Geometry ◽  
Implicit Equation ◽  
Determinantal Representation ◽  
Point Positioning ◽  
Geometric Queries ◽  
Expanded Form

A new determinantal representation for the implicit equation of offsets to conics and quadrics is derived. It is simple, free of extraneous components and provides a very compact expanded form, these representations being very useful when dealing with geometric queries about offsets such as point positioning or solving intersection purposes. It is based on several classical results in “A Treatise on the Analytic Geometry of Three Dimensions” by G. Salmon for offsets to non-degenerate conics and central quadrics.

scholarly journals Exact Representations and Geometric Queries for Lattice Structures with Quador Beams

2019 ◽  
Vol 115 ◽  
pp. 64-77 ◽  
Author(s):  
Ashish Gupta ◽  
George Allen ◽  
Jarek Rossignac
Keyword(s):  
Lattice Structures ◽  
Geometric Queries
Sign in / Sign up

Export Citation Format

Share Document