Generalised characteristic polynomials
Journal of Symbolic Computation - Special issue on computational algebraic complexity
Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants
Computer Aided Geometric Design
Base points, resultants, and the implicit representation of rational surfaces
Base points, resultants, and the implicit representation of rational surfaces
Implicitization of rational surfaces by means of polynomial interpolation
Computer Aided Geometric Design
Corner edge cutting and Dixon A-resultant quotients
Journal of Symbolic Computation
Recognising Algebraic Surfaces from Two Outlines
Journal of Mathematical Imaging and Vision
Computing minimum distance between two implicit algebraic surfaces
Computer-Aided Design
Geometric point interpolation method in R3 space with tangent directional constraint
Computer-Aided Design
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This part of the tutorial concerns methods for constructing multivariate resultants. Special methods for three bidegree and equal degree polynomial equations are included because of their importance for surface problems in computer graphics and computer-aided geometric design. We also describe u-resultants, a powerful utilization of standard resultants.