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12 years 5 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
VIS
2004
IEEE
116views Visualization» more  VIS 2004»
14 years 9 months ago
Simplifying Flexible Isosurfaces Using Local Geometric Measures
our tree, an abstraction of a scalar field that encodes the nesting relationships of isosurfaces, can be used to accelerate isosurface extraction, to identify important isovalues ...
Hamish Carr, Jack Snoeyink, Michiel van de Panne
IPMI
2005
Springer
14 years 8 months ago
Simultaneous Segmentation of Multiple Closed Surfaces Using Optimal Graph Searching
This paper presents a general graph-theoretic technique for simultaneously segmenting multiple closed surfaces in volumetric images, which employs a novel graph-construction scheme...
Kang Li, Steven Millington, Xiaodong Wu, Danny Z. ...
WSC
2004
13 years 9 months ago
Stochastic Approximation with Simulated Annealing as an Approach to Global Discrete-Event Simulation Optimization
This paper explores an approach to global, stochastic, simulation optimization which combines stochastic approximation (SA) with simulated annealing (SAN). SA directs a search of ...
Matthew H. Jones, K. Preston White
PG
2000
IEEE
14 years 2 days ago
Dynamic PDE Surfaces with Flexible and General Geometric Constraints
PDE surfaces, whose behavior is governed by Partial Differential Equations (PDEs), have demonstrated many modeling advantages in surface blending, free-form surface modeling, and ...
Haixia Du, Hong Qin