SOME BASIC GEOMETRIC TEST CONDITIONS IN TERMS OF PLUCKER COORDINATES AND PLUCKER COEFFICIENTS

Authors
YAMAGUCHI F NIIZEKI M
Citation
F. Yamaguchi et M. Niizeki, SOME BASIC GEOMETRIC TEST CONDITIONS IN TERMS OF PLUCKER COORDINATES AND PLUCKER COEFFICIENTS, The visual computer, 13(1), 1997, pp. 29-41
Citations number
4
Categorie Soggetti
Computer Sciences, Special Topics","Computer Science Software Graphycs Programming
Journal title
The visual computer → ACNP
ISSN journal
01782789
Volume
13
Issue
1
Year of publication
1997
Pages
29 - 41
Database
ISI
SICI code
0178-2789(1997)13:1<29:SBGTCI>2.0.ZU;2-4
Abstract
We propose some basic geometric tests that are unified, projectively i nvariant, and do not require any auxiliary points. We include (1) line arly independent conditions of homogeneous flats and simplices; (2) co incidence, coplanarity, concurrency, and collinearity conditions of ho mogeneous flats; and (3) interference conditions between homogeneous s implices, defined both in projective space and in two-sided space. All the conditions are represented in terms of Plucker coordinates and Pl ucker coefficients.