quadrics


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quadrics

[′kwä·driks]
(mathematics)
Homogeneous, second-degree expressions.
References in periodicals archive ?
Here, alternatively, the numerical solution employs axis-displaced confocal quadrics to locally describe the reflector's surface, which allows an analytical representation of the derivatives and the simplification of (3).
Since [T.sub.reg] has [[infinity].sup.b] subsets with cardinality b, [P.sup.5] has [[infinity].sup.8] 3-dimensional linear spaces and each H [member of] G(3, 5) has [[infinity].sup.16] complete intersections of 2 quadrics, to rule out all C [member of] [M.sub.d,g] for which there is M and H with C [member of] [M'.sub.d,g](M) and C [intersection] H contained in an integral degree 4 complete intersection, it is sufficient to rule out all C [member of] [M'.sub.d,g](M) with [h.sup.1](M, [I.sub.C,M](7)) [greater than or equal to] 3d - 6g - 21.
These simplification methods include vertex decimation [17], vertex clustering [18], edge contraction [19], triangle contraction [20], and quadric error metrics (QEM) simplification [21].
Hoppe, "New quadric metric for simplifying meshes with appearance attributes," in Proceedings of the 10th IEEE Visualization Conference (VIS '99), pp.
The curve intersects neither equator for the quadrics. Hence, one integral is required to evaluate each of the surface areas of the region of each quadric that is inside the other.
This is traceable to the fact that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a subposet of [[LAMBDA].sub.OG(2,2n)] and that the even-dimensional quadric [Q.sup.2n-4] has this dependency as well [ThYo09].
The Linux Networx system is also the fastest Intel-based and the fastest Linux machine ever built harnessing 2,304 Intel(R) 2.4 GHz Xeon(TM) processors and is connected using the Quadrics interconnect.
Worldwide Computer Products News-7 June 2000-Alpha Processor and Quadrics partner to deliver Linux supercomputers (C)1995-2000 M2 COMMUNICATIONS LTD http://www.m2.com
This includes the case of a curve [Gamma] consisting of 2 quadrics and 2 lines.
Alenio Spazio, Italy's leading aerospace company, is manufacturing the Quadrics MPP system.
(PADL-2, a CSG-based model originally designed at Rochester and subsequently incorporated into several commercial and academic modelers, is now maintained and distributed by Cornell.) RCE support required several new capabilities in PADL-2, including representations for general quadrics and facilities to handle much larger input models.
As an application of Theorem 3.1 we study the quadrics [Q.sub.k] = {z [member of] Ck+1; z1 + * * * + zk+1 = 1}, k > 1.