Results 221 to 230 of about 201,245 (267)

Epipolar curves on surfaces

Image and Vision Computing, 1995
Abstract The view lines associated with a family of profile curves of the projection of a surface onto the retina of a moving camera defines a multi-valued vector field on the surface. The integral curves of this field are called epipolar curves, and together with a parametrization of the profiles provide a parametrization of regions of the surface ...
Peter J. Giblin, Richard S. Weiss
openaire   +1 more source

On the Asymptotic Curves of a Surface

American Journal of Mathematics, 1951
hand, conditions sufficient for the truth of the classical statements will be developed in terms which take into account the specifically geometrical origin of the various differential equations defining the respective problems. Oii the other hand, examples will show that the conditions to be imposed cannot be omitted.
Hartman, Philip, Wintner, Aurel
openaire   +2 more sources

Casting curved shadows on curved surfaces

Proceedings of the 5th annual conference on Computer graphics and interactive techniques, 1978
Shadowing has historically been used to increase the intelligibility of scenes in electron microscopy and aerial survey. Various methods have been published for the determination of shadows in computer synthesized scenes. The display of shadows may make the shape and relative position of objects in such scenes more comprehensible; it is a technique ...
openaire   +1 more source

Smoothing of curves and surfaces

Computer Aided Geometric Design, 1985
This paper is concerned with the representation of surfaces with a desired shape. When using Bézier or B-splines techniques for interpolation or approximation of curves or surfaces, undesired inflexion points or changes of sign in the Gaussian curvatures may occur. A procedure is described that permits to detect such points by inspecting the associated
openaire   +1 more source

Lenses on curved surfaces

Optics Letters, 2014
This Letter presents a theory that allows graded index lenses to be mapped onto arbitrary rotationally symmetric curved surfaces. Examples of the Luneburg and Maxwell fish-eye lens are given, for numerous surfaces, always resulting in isotropic permittivity requirements.
R C, Mitchell-Thomas   +4 more
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Curve and Surface Interrogation

1993
Free-form curves and surfaces are very important for sophisticated CAD/CAM Systems. Apart from the geometric modelling aspect of these curves and surfaces, the analysis of their quality is a necessary tool in the design and construction process. The purpose of this paper is to give a critical survey on curve and surface interrogation methods and to ...
Hans Hagen   +5 more
openaire   +1 more source

Inequalities for the Curvature of Curves and Surfaces

Foundations of Computational Mathematics, 2005
In this paper we bound the difference between the total mean curvatures of two closed surfaces in ℝ3 in terms of their total absolute curvatures and the Frechet distance between the volumes they enclose. The proof relies on a combination of methods from algebraic topology and integral geometry.
David Cohen-Steiner   +1 more
openaire   +1 more source

Approximation of Curves and Surfaces by Algebraic Curves and Surfaces

The Annals of Mathematics, 1926
which will converge uniformly in a region R containing J to a continuous function which is 0 on J, and which, in R1 is > 0 at points exterior to J and < 0 at interior points. The series (1) moreover is to give rise (by equating successive sums to zero) to a sequence of non-singular algebraic ovals converging to J in a manner explicitely described in ...
openaire   +1 more source

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