Adaptive Isotopic Approximation of Nonsingular Curves: the Parameterizability and Nonlocal Isotopy Approach
نویسندگان
چکیده
منابع مشابه
Non-local isotopic approximation of nonsingular surfaces
ABSTRACT: We consider the problem of computing isotopic approximations of nonsingular surfaceswhich are implicitly represented by equations of the form f(x, y, z) = 0. This mesh generation problemhas seen much recent progress. We focus on methods based on domain subdivision using numericalprimitives because of their practical adaptive complexity. Previously, Snyder (1992) and Pl...
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The primary goal of this note is to prove that every abstract nonsingular curve can be realized as an open subset of a (unique) nonsingular projective curve. Note that this encapsulates two facts in one: that every nonsingular abstract curve is quasiprojective, and that it can be “compactified” into a projective curve without introducing singularities. We start from the definitions and state th...
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15 صفحه اولDivisors on Nonsingular Curves
In the case that X,Y are projective, nonsingular curves and φ is nonconstant, we already know that φ is necessarily surjective, but we will prove (more accurately, sketch a proof of) a much stronger result. From now on, for convenience, when we speak of the local ring of a nonsingular curve as being a discrete valuation ring, we assume that the valuation is normalized so that there is an elemen...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2011
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-011-9345-9