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Visualization research aims at providing insights into large, complex bodies of data. Topological methods are distinguished by their solid mathematical foundation, guiding the algorithmic analysis and its presentation among the various visualization techniques.

This book contains 13 peer-reviewed papers resulting from the second workshop on "Topology-Based Methods in Visualization", held 2007 in Grimma near Leipzig, Germany. All articles present original, unpublished work from leading experts. Together, these articles present the state of the art of topology-based visualization research.




Visualization research aims at providing insights into large, complex bodies of data. Topological methods are distinguished by their solid mathematical foundation, guiding the algorithmic analysis and its presentation among the various visualization techniques.

This book contains 13 peer-reviewed papers resulting from the second workshop on "Topology-Based Methods in Visualization", held 2007 in Grimma near Leipzig, Germany. All articles present original, unpublished work from leading experts. Together, these articles present the state of the art of topology-based visualization research.




Visualization research aims at providing insights into large, complex bodies of data. Topological methods are distinguished by their solid mathematical foundation, guiding the algorithmic analysis and its presentation among the various visualization techniques.

This book contains 13 peer-reviewed papers resulting from the second workshop on "Topology-Based Methods in Visualization", held 2007 in Grimma near Leipzig, Germany. All articles present original, unpublished work from leading experts. Together, these articles present the state of the art of topology-based visualization research.


Content:
Front Matter....Pages i-viii
Visualization of Coherent Structures in Transient 2D Flows....Pages 1-13
Visualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology....Pages 15-29
Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections....Pages 31-43
Topology Based Selection and Curation of Level Sets....Pages 45-58
Representing Interpolant Topology for Contour Tree Computation....Pages 59-73
Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields....Pages 75-88
Flow Structure based 3D Streamline Placement....Pages 89-100
Critical Points of the Electric Field from a Collection of Point Charges....Pages 101-114
Visualizing global manifolds during the transition to chaos in the Lorenz system....Pages 115-126
Streamline and Vortex Line Analysis of the Vortex Breakdown in a Confined Cylinder Flow....Pages 127-144
Flow Topology Beyond Skeletons: Visualization of Features in Recirculating Flow....Pages 145-160
Bringing Topology-Based Flow Visualization to the Application Domain....Pages 161-176
Computing Center-Lines: An Application of Vector Field Topology....Pages 177-190


Visualization research aims at providing insights into large, complex bodies of data. Topological methods are distinguished by their solid mathematical foundation, guiding the algorithmic analysis and its presentation among the various visualization techniques.

This book contains 13 peer-reviewed papers resulting from the second workshop on "Topology-Based Methods in Visualization", held 2007 in Grimma near Leipzig, Germany. All articles present original, unpublished work from leading experts. Together, these articles present the state of the art of topology-based visualization research.


Content:
Front Matter....Pages i-viii
Visualization of Coherent Structures in Transient 2D Flows....Pages 1-13
Visualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology....Pages 15-29
Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections....Pages 31-43
Topology Based Selection and Curation of Level Sets....Pages 45-58
Representing Interpolant Topology for Contour Tree Computation....Pages 59-73
Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields....Pages 75-88
Flow Structure based 3D Streamline Placement....Pages 89-100
Critical Points of the Electric Field from a Collection of Point Charges....Pages 101-114
Visualizing global manifolds during the transition to chaos in the Lorenz system....Pages 115-126
Streamline and Vortex Line Analysis of the Vortex Breakdown in a Confined Cylinder Flow....Pages 127-144
Flow Topology Beyond Skeletons: Visualization of Features in Recirculating Flow....Pages 145-160
Bringing Topology-Based Flow Visualization to the Application Domain....Pages 161-176
Computing Center-Lines: An Application of Vector Field Topology....Pages 177-190
....
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