Scientific Visualization at the interfaces

ICS-Summer School, Roscoff, July 28 - August 8, 2014 Course instructors: Chantal Oberson Ausoni (UPMC, Paris) Pascal Frey (UPMC, Paris) Julien Tierny (LTCI, Telecom Paris Tech, Paris)

1. Syllabus

Scientific visualization is at the crossroad of many disciplines and, like many topics at the interfaces between disciplines, its access may seem a bit harsh for (under)graduate students in sciences or engineering. Our goal is to cover the main theoretical and practical aspects of this emerging area. Actually, we have sought to achieve a right balance between theoretical concepts, mathematical analysis, description of algorithms and engineering applications. Numerical experiments using Paraview, VTK, OpenGL, as well as programming sessions in C++ will help students to understand these concepts and see advanced methods in action.

2. Schedule

Week I

Week II

3. Material

1. Classes
• slides P. Frey (part I CG primer)
  
• slides Ch. Oberson Ausoni (part I geometry)
  
• slides M. Baaden (Principles of scientific illustration)
  
• slides J. Tierny (A quick introduction to C++ programming)
  
• slides Ch. Oberson Ausoni (part II curves and surfaces)
  
• slides P. Frey ( part II discrete surfaces)
  
• slides Ch. Oberson Ausoni (part III vector fields)
  
• slides Ch. Oberson Ausoni (part IV tensor fields)
  
• slides R. A. Boto (understanding chemical bonding by scientific visualization)
  
• slides J.Tierny (domain representations)
• slides J.Tierny (scalar fields)
2. Hands-on sessions
• TP1: GLUT demos (tar file, make.txt)
  
• TP1: OpenGL and GLUT notes
  
• TP1: rotation demo (C file)
  
• TP1: correction (zip file)
  
• TP2: C++ programming (link to J. Tierny's web page)
• TP2: correction (zip file)
  
• TP3: Converting data to ParaView (link to J. Tierny's web page)
• TP3: correction (zip file)
  
• TP4 a: Scalar field visualization (link to J. Tierny's web page)
• TP4 b: Paraview visualization (link to J. Tierny's web page)
• TP4: correction Paraview
  
• TP5 a: discrete surfaces (problem statement (PDF), source code for Bezier surfaces, source code for curvatures, example datasets)
• TP5 b: C code (complete)

4. References

• Computer Graphics
1. Agoston M.K., Computer graphics and geometric modeling, implementation and algorithms, Springer, (2005).
2. Birn J., Digital lighting & rendering, New Riders, (2010).
3. Gallardo A., 3D lighting, history, concepts & techniques, Charles River Media, (2000).
4. Govil-Pai S.,Principles of computer graphics, theory and practice using OpenGL and Maya, Springer, (2004).
5. Hansen C.D., Johnson C.R. (eds), The Visualization Handbook, Academic Press, (2005).
6. Levkowitz H., Color theory and modeling for computer graphics, visualization, and multimedia applications, Springer, (1997).
7. Mukundan R., Advanced methods in computer graphics with examples in OpenGL, Springer, (2012).
8. Salomon D., Computer graphics and geometric modeling, Springer, (1999).
9. Tufte E.R., Graves-Morris P.R., The visual display of quantitative information, Graphics press Cheshire, (1983).
10. Watt A., Watt M., Advanced animation and rendering techniques, Addison-Wesley, (1992)
• Scientific visualization
1. Farin G., Hansford D., Mathematical principles for scientific computing and visualization, AK Peters Ltd, (2008).
2. Giaquinto M., Visual thinking in mathematics, an espistemological study, Oxford University Press, (2007).
3. Hauser H., Hagen H., Thiesel H. (eds.), Topology-based methods in visualization, Springer, (2007).
4. Javidi B., Okano F., Son J.Y. (eds.), Three-dimensional imaging, visualization and display, Springer, (2009).
5. Laidlaw D.H., Vilanova A. (eds.), New developments in the visualization and processing of tensor fields, Springer, (2012).
6. Moeller T., Hamann B., Russell R. (eds.), Mathematical foundations of scientific visualization, com- puter graphics and massive data exploration, Springer, (2009).
7. Peikert R. et al. (eds.), Topological methods in data analysis and visualization II, Springer, (2012)
8. Schroeder W., Martin K., Lorensen B., The visualization toolkit, Prentice-Hall, (1997).
9. Tufte E.R., The visual display of quantitative information, 2nd ed., Graphics Press, (2001).
• Geometry
1. Anderson J.W., Hyperbolic geometry, Springer, (2005).
2. Audin M., Geometry, Springer UTX, (2003).
3. Berger M., Geometry, UTX, Springer, (1987).
4. Berger M., Senechal L.J., Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry, Springer, (2010).
5. Dorst L.,Fontijne D.,Mann S., Geometric algebra for computer science, an object-oriented approach to computer graphics, Morgan-Kaufmann, (2007).
6. Goldman R., Rethinking quaternions, theory and computation, Morgan & Claypool publishers, (2010).
7. Perwas Ch., Geometric algebra with applications in engineering, Geometry and Computing, 4, Springer, (2009).
8. Petersen P., Riemannian geometry, GTM 171, Springer, (2006).
9. Pressley A., Elementary differential geometry, UMS, 2nd ed., Springer, (2010).
10. Stillwell J., The four pillars of geometry, Springer, (2005).
11. Vince J.A., Quaternions for computer graphics, Springer, (2011)
12. Vince J.A., Geometric algebra for computer graphics, Springer, (2008).
• OpenGL
1. Angel E., Schreiner D., Interactive computer graphics, a top-down approach with shader-based OpenGL, 6th ed., Addison-Wesley, (2012).
2. Cozzi P., Riccio Ch. (eds.), OpenGL insights, CRC Press, (2012).
3. Glaeser G., Stachel H., Open geometry: OpenGL + advanced geometry, Springer, (1999).
4. Kempf R., Frazier C. (eds.), OpenGL reference manual, 2nd ed., Addison-Wesley, (1997).
5. Whitrow R., OpenGL graphics through applications, Springer, (2008).
6. Woo et al., OpenGL programming guide, 3rd ed., Addison-Wesley, (1999).
• Related topics
1. Dey T.K., Curve and surface reconstruction, algorithms with mathematical analysis, Cambridge University Press, (2007).
2. Hjelle O., Daehlen M., Triangulations and applications, Springer, (2006).
3. Velho L. et al. (eds.), Mathematical optimization in computer graphics and vision, Morgan Kauf- mann, (2008).
4. Warren J., Weimer H., Subdivision methods for geometric design, a constructive approach, Morgan- Kaufmann, (2002).
5. Zudilova-Seinstra E. et al. (eds.), Trends in interactive visualization, state-of-the-art survey, Springer, (2009).




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Updated 2014-07-25 18:24 CET