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AMCS / CS 247 – Scientific VisualizationLecture 22: Vector Field / Flow Visualization, Pt. 5
Markus Hadwiger, KAUST
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Reading Assignment #13 (until Nov 24)
Read (required):• B. Jobard, G. Erlebacher, M. Y. Hussaini: Lagrangian-Eulerian
Advection of Noise and Dye Textures for Unsteady Flow Visualization, TVCG 8(3), 2002http://dx.doi.org/10.1109/TVCG.2002.1021575
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Quiz #3: Nov 20
Organization• First 30 min of lecture
• No material (book, notes, ...) allowed
Content of questions• Lectures (both actual lectures and slides)
• Reading assignments (except optional ones)
• Programming assignments (algorithms, methods)
• Solve short practical examples
Stream Line Placement
Basic problem: finding seed points
Desired: evenly-spaced stream linesMarkus Hadwiger, KAUST 6
Scientific Visualization, Tino Weinkauf & Jens Krüger, Saarland University, Winter 2011/12
Flow Visualization: Geometry-Based Methods
● Stream line seeding:● 2D: evenly spaced stream lines● Jobart/Lefer 97:
● greedy placement of new stream lines in the neighborhood of already present stream lines
● 2 steering parameters dsep, dtest with dtest < dsep
● Start integration of an arbitrary stream line in forward and backward direction until it● Leaves the domain● Ends in a critical point● Comes closer than dtest to another drawn stream line
● Next stream line: starts in a point with distance dsep to first stream line● Ends when no further stream lines are possible
Scientific Visualization, Tino Weinkauf & Jens Krüger, Saarland University, Winter 2011/12
Flow Visualization: Geometry-Based Methods
Scientific Visualization, Tino Weinkauf & Jens Krüger, Saarland University, Winter 2011/12
Flow Visualization: Geometry-Based Methods
Scientific Visualization, Tino Weinkauf & Jens Krüger, Saarland University, Winter 2011/12
Flow Visualization: Geometry-Based Methods
● Stream line seeding 3D:● evenly-spaced does not make sense● starting on uniform grid:
[Weinkauf 2003]
Scientific Visualization, Tino Weinkauf & Jens Krüger, Saarland University, Winter 2011/12
Flow Visualization: Geometry-Based Methods
● Stream line seeding 3D:● evenly-spaced does not make sense● starting in regions of high vector field curvature (i.e., close to critical
points):
[Weinkauf 2003]
Line Integral Convolution(LIC)
KAUST King Abdullah University of Science and Technology 12
stream lines
Thank you.
Thanks for material• Thomas Hoellt
• Ronny Peikert
• Helwig Hauser
• Meister Eduard Groeller
• Jens Krüger
