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COMPGEOM
2011
ACM
13 years 9 days ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang

Publication
338views
12 years 7 months ago
A Reference Discretization Strategy for the Numerical Solution of Physical Field Problems.
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi

Publication
519views
12 years 7 months ago
The Finite Volume, Finite Difference, and Finite Elements Methods as Numerical Methods for Physical Field Problems
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
TVCG
2012
210views Hardware» more  TVCG 2012»
11 years 11 months ago
A 2D Flow Visualization User Study Using Explicit Flow Synthesis and Implicit Task Design
—This paper presents a 2D flow visualization user study that we conducted using new methodologies to increase the objectiveness. We evaluated grid-based variable-size arrows, eve...
Zhanping Liu, Shangshu Cai, J. Edward Swan II, Rob...
MICCAI
2009
Springer
14 years 10 months ago
Topological Characterization of Signal in Brain Images Using Min-Max Diagrams
Abstract. We present a novel computational framework for characterizing signal in brain images via nonlinear pairing of critical values of the signal. Among the astronomically larg...
Moo K. Chung, Vikas Singh, Peter T. Kim, Kim M....