Curves and Surfaces
The Study of Curves and Surfaces
... of curves, surfaces, functions, and so on, in sufficiently small ...of curves, surfaces, functions, and so on, extended as far as ...studies surfaces on all their given span and ...
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Tzitzeica Curves and Surfaces »
... invariant curves and surfaces that bear his ...of curves and surfaces in three dimensions that is particularly suitable for discussion at relatively elementary ...
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Curves and Surfaces in Computer Graphics
... computer curves and surfaces. It enables to display curves and surfaces in three-dimensional space with perspective or orthogonal projection with capability of changing camera ...other ...
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Curves and Surfaces for Computer Graphics
... of Curves and Surfaces Section 2.4 discusses lofted surfaces but does not explain the reason for this unusual ...such surfaces became known as ...
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Curvature based sampling of curves and surfaces
... Although triangular and quadrilateral meshes can represent a general freeform surface, it is not possible to represent the class of surfaces generated by the Cartesian product of two or more curves. In this ...
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On Compact Affine Quaternionic Curves and Surfaces
... nionic curves and ...quaternionic curves are the quaternionic ...quaternionic surfaces, the study of their fundamental groups, together with the inspection of all nilpotent hypercomplex sim- ply ...
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Radical parametrization of algebraic curves and surfaces
... for curves that are of practical ...of surfaces It is possible to exploit the results outlined in the previous section for the case of ...algebraic surfaces can be parametrized ...
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Locally Defined Principal Curves and Surfaces
... Principal curves are defined as self-consistent smooth curves passing through the middle of the data, and they have been used in many applications of machine learning as a generalization, dimension- ality ...
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Statistical comparisons for nonlinear curves and surfaces
... NONLINEAR CURVES AND SURFACES Estimation of nonlinear curves and surfaces has long been the focus of semiparamet- ric and nonparametric ...of curves and ...
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Hilbert-Kunz Functions of Cubic Curves and Surfaces
... Combining these results with the calculation of the (generalized) Hilbert-Kunz func- tion of Cayley’s cubic surface, it follows that in each degree and over any field of positive characteristic there are curves ...
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Intersection Curves of Implicit and Parametric Surfaces in R3
... This paper is organized as follows: Section 2 briefly introduces some notations, definitions and reviews of differential geometry properties of curves and surfaces in . Section 3 derives the formulas to ...
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Total absolute curvature as a tool for modelling curves and surfaces
... modelling curves and surfaces from discrete two– or three–dimensional ...discrete curves and surfaces with respect to their total abso- lute ...discrete curves and surfaces we ...
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Elliptic GW invariants of blowups along curves and surfaces
... about the cases of blowing up along curves and surfaces to the case of genus-one. Our main results are the following. Theorem 1.1. Suppose that C is a smooth curve in M such that either its genus g 0 ≥ 2 or ...
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Quartic Trigonometric Bézier Curves and Surfaces with Shape Parameter
... Bézier surfaces are defined. These curves not only inherit most properties of the usual quartic Bézier curves with the Bernstein basis in the polynomial space, but also enjoy some other advantageous ...
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Quasi-Quartic Trigonometric Bézier Curves and Surfaces with Shape Parameters
... Bézier Curves and Surfaces with Shape Parameters Reenu Sharma Assistant Professor, Department of Mathematics, Mata Gujri Mahila Mahavidyalaya, Jabalpur, Madhya Pradesh, India ABSTRACT: In this paper a new ...
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INTRINSIC CURVATURE OF CURVES AND SURFACES AND A GAUSS BONNET THEOREM IN THE HEISENBERG GROUP
... curvature surfaces in H, especially in relation to Pansu’s isoperimetric problem ...horizontal curves, ensures that the only compact surfaces with constant intrinsic Gaussian curvature have K 0 = ...
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A Unified Interpolating Subdivision Scheme for Curves/Surfaces by Using Newton Interpolating Polynomial
... four-point interpolatory subdivision scheme for curve to the surface by using tensor product. The proposed work gives a new idea in finding subdi- vision rules for curves and surfaces using Newton inter- ...
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INTERSECTION TEST AND BLOSSOMING PERTURBATION FOR DISK PARAMETRIC CURVES AND BALL PARAMETRIC SURFACES
... The curves and surfaces employed in classical geometric modeling represent the shapes of ...the curves have no width and that the surfaces have zero ...
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The Cone of Curves of K3 Surfaces Revisited
... (1.1.2) NE(X) = ∑ R + where the sum runs over the classes of all smooth rational curves on X . Remark 1.2. To cover all cases one would also need to consider K3 surfaces with Picard number less than 3. ...
Flecnodal and LIE-curves of ruled surfaces
... ruled surfaces using a new point of view, which depends on H ESSE ’s correspondence ...ruled surfaces depending on its characteristic curve, which is an image of the flecnode curve under a so called ...
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