quadric surface


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Noun1.quadric surface - a curve or surface whose equation (in Cartesian coordinates) is of the second degree
curve, curved shape - the trace of a point whose direction of motion changes
hyperboloid - a quadric surface generated by rotating a hyperbola around its main axis
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References in periodicals archive ?
Caption: Figure 3: Local axis-displaced confocal quadric surface.
YANG, Variational mesh segmentation via quadric surface fitting, Comput.-Aided Des., 44 (2012), pp.
* A surface of order two is called a quadratic or quadric surface and consists of surfaces such as ellipsoids, paraboloids and hyperboloids, which include the classic MINIMAX saddle surfaces.
Other simple or effective geometry-based methods include the angle-based approach [57], the geometric element transformation method (GETMe) [58], a projecting/smoothing method [59], an algebraic method [60], the target-matrix paradigm [61], the effective variational method [62], and a novel method based on quadric surface fitting, vertex projecting, curvature estimating, and mesh labeling [63] .
In this paper, we give descriptions of finding the volume bounded by a quadric surface and a plane.
Among the topics are compact moduli spaces of surfaces of general type, the geometry of the ball quotient model of the moduli space for genus four curves, restrictions of stable bundles, the splitting principles and singularities, and spaces of sections of quadric surface fibrations over curves.
Waggenspack, Jr., "Intersecting a ray with quadric surface," Graphics Gems III, 275-283, Academic Press Professional, Inc., 1992.
Meanwhile, Tran represents a dual absolute quadric surface, with a rank of three and det(Tran) = 0.
The expression for Re(y) shown in Equation (5) is a quadric surface that can be identified and classified by reducing it to its simplest (canonical) form by translation and rotation of axes.
In the case n = 0; the surface [F.sub.0] is isomorphic to the quadric surface [P.sup.1] x [P.sup.1].