Results 231 to 240 of about 201,245 (267)
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ON THE NORMAL PARAMETERIZATION OF CURVES AND SURFACES
International Journal of Computational Geometry & Applications, 1991A set of parametric equations of an algebraic curve or surface is called normal, if all the points of the curve or the surface can be given by the parametric equations. In this paper, we present a method to decide whether a set of parametric equations is normal.
Xiao-Shan Gao, Shang-Ching Chou
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Uncalibrated reconstruction of curved surfaces
Image and Vision Computing, 1999In this article, we show that even if the camera is uncalibrated and its translational motion is unknown, curved surfaces can be reconstructed from their apparent contours up to a 3D affine ambiguity. Further, we show that even if the reconstruction is non-metric (non-Euclidean), we can still extract useful information from the reconstruction for many ...
Jun Sato, Roberto Cipolla
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The Visual Computer, 2005
The formulations for parametric curves and surfaces that are based on control points are revised to use control lines and control planes instead. Curves defined by control lines are called control-line curves or plus curves, and surfaces defined by control planes are called control-plane surfaces or plus surfaces; the plus implies that in addition to ...
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The formulations for parametric curves and surfaces that are based on control points are revised to use control lines and control planes instead. Curves defined by control lines are called control-line curves or plus curves, and surfaces defined by control planes are called control-plane surfaces or plus surfaces; the plus implies that in addition to ...
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Archiv der Mathematik, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2000
Polar curves with respect to proper conics and polar surfaces with respect to proper quadrics are investigated. Polar curves (surfaces) are defined as the envelope of the polar lines (planes) of the points on a given curve (surface) with respect to a quadratic curve (surface).
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Polar curves with respect to proper conics and polar surfaces with respect to proper quadrics are investigated. Polar curves (surfaces) are defined as the envelope of the polar lines (planes) of the points on a given curve (surface) with respect to a quadratic curve (surface).
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Steiner Trees on Curved Surfaces
Graphs and Combinatorics, 2001First the author points out the differences between the Steiner trees in the plane and those on curved surfaces. Then he discusses in detail Steiner trees on spheres, in particular the properties of Steiner points (defined by the condition that all angles at this point are equal to \(2\pi /3\)).
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On Parabolic Curves on Surfaces
American Journal of Mathematics, 1954Hartman, Philip, Wintner, Aurel
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Asymptotic Curves on a Surface
American Journal of Mathematics, 1938Lane, E. P., MacQueen, M. L.
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