Results 1 - 10 of 642

Re-Tiling Polygonal Surfaces

by Greg Turk - Computer Graphics , 1992
"... This paper presents an automatic method of creating surface models at several levels of detail from an original polygonal description of a given object. Representing models at various levels of detail is important for achieving high frame rates in interactive graphics applications and also for speed ..."
Abstract - Cited by 445 (3 self) - Add to MetaCart
surface that is faithful to both the geometry and the topology of the original surface. Themain contributions of this paper are: 1) a robust method of connecting together new vertices over a surface, 2) a way of using an estimate of surface curvature to distribute more new vertices at regions of higher

A combined transmembrane topology and signal peptide prediction method

by Sheila M. Reynolds, Lukas Käll, Michael E. Riffle, Jeff A. Bilmes, William Stafford Noble - J. Mol. Biol , 2004
"... Hidden Markov models (HMMs) have been successfully applied to the tasks of transmembrane protein topology prediction and signal peptide prediction. In this paper we expand upon this work by making use of the more powerful class of dynamic Bayesian networks (DBNs). Our model, Philius, is inspired by ..."
Abstract - Cited by 233 (10 self) - Add to MetaCart
Hidden Markov models (HMMs) have been successfully applied to the tasks of transmembrane protein topology prediction and signal peptide prediction. In this paper we expand upon this work by making use of the more powerful class of dynamic Bayesian networks (DBNs). Our model, Philius, is inspired

On the gauge theory/geometry correspondence

by Rajesh Gopakumar, Cumrun Vafa - Adv. Theor. Math. Phys , 1999
"... The ’t Hooft expansion of SU(N) Chern-Simons theory on S3 is proposed to be exactly dual to the topological closed string theory on the S2 blow up of the conifold geometry. The B-field on the S2 has magnitude Ngs = λ, the ’t Hooft coupling. We are able to make a number of checks, such as finding exa ..."
Abstract - Cited by 274 (36 self) - Add to MetaCart
The ’t Hooft expansion of SU(N) Chern-Simons theory on S3 is proposed to be exactly dual to the topological closed string theory on the S2 blow up of the conifold geometry. The B-field on the S2 has magnitude Ngs = λ, the ’t Hooft coupling. We are able to make a number of checks, such as finding

Improved Localization of Cortical Activity by Combining EEG and MEG with MRI Cortical Surface Reconstruction: A Linear Approach

by Anders M. Dale, Martin I. Sereno - J. Cogn. Neurosci , 1993
"... We describe a comprehensive linear approach to the prob- lem of imaging brain activity with high temporal as well as spatial resolution based on combining EEG and MEG data with anatomical constraints derived from MRI images. The "inverse problem" of estimating the distribution of dipole st ..."
Abstract - Cited by 263 (19 self) - Add to MetaCart
is recursively fiood4illed ,o determine the topology of the gray.white matter border, and (3) the resulting continuous surface is refinc by relaxing it against the original 3-D gray-scale image using a deformable template method, which is also used to computationally flatten the cortex for k'asier vic

Towards Capturing Representative AS-Level Internet Topologies

by Hyunseok Chang, Ramesh Govindan, Sugih Jamin, Scott J. Shenker, Walter Willinger - Computer Networks Journal , 2002
"... Recent studies concerning the Internet connectivity at the AS level have attracted considerable attention. These studies have exclusively relied on the BGP data from Oregon route-views [1] to derive some unexpected and intriguing results. The Oregon route-views data sets reflect AS peering relations ..."
Abstract - Cited by 175 (23 self) - Add to MetaCart
relationships, as reported by BGP, seen from a handful of vantage points in the global Internet. The possibility that these data sets from Oregon route-views may provide only a very sketchy picture of the complete inter-AS connections that exist in the actual Internet has received surprisingly little scrutiny

On the topology of graph picture spaces

by Jeremy L. Martin - Adv. Math
"... Abstract. We study the space X d (G) of pictures of a graph G in complex projective d-space. The main result is that the homology groups (with integer coefficients) of X d (G) are completely determined by the Tutte polynomial of G. One application is a criterion in terms of the Tutte polynomial for ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
Abstract. We study the space X d (G) of pictures of a graph G in complex projective d-space. The main result is that the homology groups (with integer coefficients) of X d (G) are completely determined by the Tutte polynomial of G. One application is a criterion in terms of the Tutte polynomial

On the topology of multigraph picture spaces

by Jeremy L. Martin
"... Abstract. Let G be a multigraph. We study the space X d (G) of all pictures of G in complex projective d-space. The main result is that the homology groups (with integer coefficients) of X d (G) are completely determined by the Tutte polynomial of G. One application is a criterion in terms of the Tu ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Abstract. Let G be a multigraph. We study the space X d (G) of all pictures of G in complex projective d-space. The main result is that the homology groups (with integer coefficients) of X d (G) are completely determined by the Tutte polynomial of G. One application is a criterion in terms

KHOVANOV’S HOMOLOGY FOR TANGLES AND COBORDISMS

by Dror Bar-Natan , 2005
"... We give a fresh introduction to the Khovanov Homology theory for knots and links, with special emphasis on its extension to tangles, cobordisms and 2-knots. By staying within a world of topological pictures a little longer than in other articles on the subject, the required extension becomes essent ..."
Abstract - Cited by 141 (3 self) - Add to MetaCart
We give a fresh introduction to the Khovanov Homology theory for knots and links, with special emphasis on its extension to tangles, cobordisms and 2-knots. By staying within a world of topological pictures a little longer than in other articles on the subject, the required extension becomes

The local picture theorem on the scale of topology

by William H. Meeks, III, Joaquin Pérez , Antonio Ros , 2008
"... In this paper we prove a descriptive structure theorem of the extrinsic geometry of an embedded minimal surface in a Riemannian three-manifold in any small intrinsic neighborhood of a point of concentrated topology. This structure theorem includes a new limit object which we call a minimal parking g ..."
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In this paper we prove a descriptive structure theorem of the extrinsic geometry of an embedded minimal surface in a Riemannian three-manifold in any small intrinsic neighborhood of a point of concentrated topology. This structure theorem includes a new limit object which we call a minimal parking

An Exact Mathematical Picture of Quantum

by Mohamed S. El Naschie , 2015
"... Using von Neumann’s continuous geometry in conjunction with A. Connes ’ noncommutative ge-ometry an exact mathematical-topological picture of quantum spacetime is developed ab initio. The final result coincides with the general conclusion of E-infinity theory and previous results ob-tained in the re ..."
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Using von Neumann’s continuous geometry in conjunction with A. Connes ’ noncommutative ge-ometry an exact mathematical-topological picture of quantum spacetime is developed ab initio. The final result coincides with the general conclusion of E-infinity theory and previous results ob
Results 1 - 10 of 642