Implicitization and parametrization of nonsingular cubic surfaces

Computer Aided Geometric Design

Volumn 18, Issue 8, 2001, Pages 723-738

  Berry, T G ^a   Patterson, Richard R ^b  

^a UNIVERSIDAD SIMÓN BOLÍVAR   (Venezuela)

^b INDIANA UNIVERSITY   (United States)

Author keywords

Cubic surfaces; Implicitization; Parametrization

Indexed keywords

APPROXIMATION THEORY; MATRIX ALGEBRA;

NONSINGULAR CUBIC SURFACES;

COMPUTATIONAL GEOMETRY;

EID: 0035476159     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(01)00048-6     Document Type: Article

References (20)

1. An introduction to Gröbner bases
2. Rational parametrizations of nonsingular real cubic surfaces
3. Degree, multiplicity and inversion formulas for rational surfaces using u-resultants
4. Implicitizing rational surfaces with base points by applying perturbations and the factors of zero theorem
5. 3
6. Implicit representation of rational parametric surfaces
7. On the distribution of surfaces of the third order into species, in reference to the presence or absence of singular points, and the reality of their lines
8. Techniques for cubic algebraic surfaces, Part 1
9. Techniques for cubic algebraic surfaces, Part 2
10. Implicitization, inversion, and intersection of planar rational cubic curves
11. Implicitization using moving curves and surfaces
12. Curve implicitization using moving lines
13. Parametrization of cubic algebraic surfaces