منابع مشابه
Explicit Real Cubic Surfaces
The topological classification of smooth real cubic surfaces is recalled and compared to the classification in terms of the number of real lines and of real tritangent planes, as obtained by L. Schläfli in 1858. Using this, explicit examples of surfaces of every possible type are given.
متن کاملComputing the Real Intersection of Cubic Surfaces
In this paper, we present a new algorithm for computing in a very efficient way the real intersection of three cubic surfaces. Our approach is based on the cylindrical decomposition ([8]) and the TOP algorithm ([10]) for analyzing the topology of a planar curve. We perform a symbolic preprocessing that allows us later to execute all numerical computations in a very accurate way.
متن کاملRational Parametrizations of Real Cubic Surfaces
Real cubic algebraic surfaces may be described by either implicit or parametric equations. Each of these representations has strengths and weaknesses and have been used extensively in computer graphics. Applications involving both representations include the efficient computation of surface intersections, and triangulation of curved surfaces. One particularly useful representation is the ration...
متن کاملAn Explicit Cubic Iteration
Using the theory of the cubic modular equation we have discovered a remarkably simple class of cubically convergent algebraic iterations for n. In the course of a study of cubic modular equations the following two remarkably simple cubically convergent iterations for n were uncovered. Details of the derivation will appear in [1]. A related but less elegant iteration was discussed in [2]. While ...
متن کاملOn Singular Cubic Surfaces
We study global log canonical thresholds of cubic surfaces with canonical singularities, and we prove the existence of a Kähler–Einstein metric on two singular cubic surfaces.
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2008
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2008-014-5