Bibliography

1

R. Abraham and C. Shaw.
Dynamics - The Geometry of Behavior.
Addison Wesley, 2nd edition, 1992.

2

Advanced Visual System, http://www.avs.com/.
AVS Developers Guide, Release 4, May 1992.

3

International AVS center, module repositories.
Indexed at http://www.iavsc.org/.
These cataloges provide a large number of public domain AVS modules.

4

V. Arnold.
Ordinary Differential Equations.
MIT Press, 1973.

5

D. Arrowsmith and C. Place.
An Introduction to Dynamical Systems.
Cambridge University Press, 1990.

6

D. Asimov.
Notes on the topology of vector fields and flows.
Technical Report RNR-93-003, NASA Ames Research Center, 1993.

7

D. Asimov, L. Hesselink, and F. Post.
Visualization and topology of vector and tensor fields.
IEEE Visualization '95, tutorial notes #6, 1995.

8

D. Banks.
Illumination in diverse codimensions.
Computer Graphics (SIGGRAPH '94 Proceedings), 28:327-334, 1994.

1

D. Banks and B. Singer.
Vortex tubes in turbulent flows: Identification, representation, reconstruction.
In Proc. of IEEE Visualization '94, pages 132-139, October 1994.

10

R. Beach.
An Introduction to the Curves and Surfaces of Computer-Aided Design.
Van Nostrand Reinhold, 1991.

11

T. Beier and S. Neely.
Feature-based image metamorphosis.
Computer Graphics (SIGGRAPH '92 Proceedings), 26:35-42, July 1992.

12

M. Brill, W. Djatschin, M. Hagen, S. Klimenko, and H.-C. Rodrian.
Streamball techniques for flow visualization.
In Proc. of IEEE Visualization '94, pages 225-231, October 1994.

13

I. Bronstein and K. Semendjajew.
Taschenbuch der Mathematik.
Verlag Harri Deutsch, 1980.

14

B. Cabral and L. Leedom.
Imaging vector fields using line integral convolution.
Computer Graphics (SIGGRAPH '93 Proceedings), pages 263-270, 1993.

15

T. Conneen.
Spontaneous oscillations in electrical power transmission system models.
See URL http://www.ee.cornell.edu/~conneen/chaos/chaos.html.

16

R. Crawfis, C. Hansen, N. Max, G. Nielson, and W. Schröder.
Advanced techniques for scientific visualization.
SIGGRAPH '94, course notes, 1994.

2

R. Crawfis and N. Max.
Texture splats for 3D scalar and vector field visualization.
In Proc. of IEEE Visualization '93, pages 261-267, October 1993.

18

R. Crawfis and N. Max.
Flow volumes.
See URL http://www.llnl.gov/graphics/flow.html, 1998.

3

W. de Leeuw and J. van Wijk.
A probe for local flow field visualization.
In Proc. of IEEE Visualization '93, pages 39-45, 1993.

20

W. de Leeuw and J. van Wijk.
Enhanced spot noise for vector field visualization.
In Proc. of IEEE Visualizaiton '95, pages 233-239, 1995.

21

T. Delmarcelle and L. Hesselink.
Visualization of second order tensor fields and matrix data.
In Proc. of IEEE Visualization '92, pages 316-322, October 1992.

22

E. Doedel.
Software for Continuation and Bifurcation Problems in Ordinary Differential Equations (AUTO 86 user manual), 2nd edition, February 1986.
See also URL http://www.chpc.utah.edu/software/math/automan.html.

4

L. Forssell.
Visualizing flow over curvilinear grid surfaces using line integral convolution.
In Proc. of IEEE Visualization '94, pages 240-247, October 1994.

24

L. Forssell and S. Cohen.
Using line integral convolution for flow visualization: Curvilinear grids, variable-speed animation, and unsteady flows.
IEEE Transactions on Visualization and Computer Graphics, 1(2):133-141, June 1995.

25

T. Frühauf.
Raycasting vector fields.
In Proc. of IEEE Visualization '96, pages 115-120, 1996.

26

A. Fuhrmann, H. Löffelmann, and D. Schmalstieg.
Collaborative augmented reality: Exploring dynamical systems.
In Proc. of IEEE Visualization '97, pages 459-462, October 1997.

27

A. Globus, C. Levit, and T. Lasinski.
A tool for visualizing the topology of three-dimensional vector fields.
In Proc. of IEEE Visualization '91, pages 33-40, October 1991.

28

E. Gröller, R. Rau, and W. Straßer.
Modeling and visualization of knitwear.
IEEE Transactions on Visualization and Computer Graphics, 1(4):302-310, December 1995.

29

C. Hansen.
Visualization of vector fields (2D and 3D).
SIGGRAPH '93, course notes ``Introduction to Scientific Visualization Tools and Techniques'', August 1993.

30

A. Hanson and H. Ma.
Visualizing flow with quaternion frames.
In Proc. of IEEE Visualization '94, pages 108-115, 1994.

31

J. Helman and L. Hesselink.
Visualizing vector field topology in fluid flows.
IEEE Computer Graphics & Applications, 11(3):36-46, 1991.

32

J. Hubbard and B. West.
Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations, volume 5 of Texts in Applied Mathematics.
Springer, 1991.

33

J. Hultquist.
Constructing stream surfaces in steady 3D vector fields.
In Proc. of IEEE Visualization '92, pages 171-177, October 1992.

34

V. Interrante, H. Fuchs, and S. Pizer.
Illustrating transparent surfaces with curvature-directed strokes.
In Proc. of IEEE Visualisation '96, pages 211-218, 1996.

35

V. Interrante and C. Grosch.
Strategies for effectively visualizing 3D flow with volume LIC.
In Proc. of IEEE Visualization '97, pages 421-424, 1997.

36

B. Jobard and W. Lefer.
Creating evenly-spaced streamlines of arbitrary density.
In W. Lefer and M. Grave, editors, Visualization in Scientific Computing, Focus on Computer Graphics, pages 43-55. Springer, 1997.
Proc. of 8th Eurographics Workshop on Visualization in Scientific Computing, Boulogne sur Mer, France, Apr 28-30, 1997.

37

B. Jobard and W. Lefer.
The motion map: Efficient computation of steady flow animations.
In Proc. of IEEE Visualization '97, pages 323-328, October 1997.

38

J. Kajiya and T. Kay.
Rendering fur with three dimensional textures.
Computer Graphics (SIGGRAPH '89 Proceedings), 23:271-280, 1989.

39

D. Kenwright and R. Haimes.
Vortex identification - applications in aerodynamics.
In Proc. of IEEE Visualization '97, pages 413-416. IEEE Computer Society, http://www.computer.org/, November 1997.

40

D. Kenwright and G. Mallinson.
A 3-d streamline tracking algorithm using dual stream functions.
In Proc. of IEEE Visualization '92, pages 62-68, 1992.

41

D. Lane.
Visualization of time-dependent flow fields.
In Proc. of IEEE Visualization '93, pages 32-38, October 1993.

42

D. Lane.
UFAT - a particle tracer for time-dependent flow fields.
In Proc. of IEEE Visualization '94, pages 257-264, October 1994.

43

C. Levit.
Visualizing the topology of vector fields - an annotated bibliography.
Technical Report RNR-92-032, NASA Ames Research Center, 1992.

44

H. Löffelmann, H. Doleisch, and E. Gröller.
Visualizing dynamical systems near critical points.
In Proc. of Spring Conference on Computer Graphics and its Applications 1998, pages 175-184, Budmerice, Slovakia, April 1998.

45

H. Löffelmann and E. Gröller.
DynSys3D: A workbench for developing advanced visualization techniques in the field of three-dimensional dynamical systems.
In Proc. of The Fifth International Conference in Central Europe on Computer Graphics and Visualization '97, pages 301-310, Plzen, Czech Republic, February 1997.

46

H. Löffelmann and E. Gröller.
Enhancing the visualization of characteristic structures in dynamical systems.
In Proc. of 9th EUROGRAPHICS Workshop on Visualization in Scientific Computing, pages 35-46, April 1998.
Republished in D. Bartz (ed.): Visualization in Scientific Computing '98, Springer, 1998.

47

H. Löffelmann, E. Gröller, R. Wegenkittl, and W. Purgathofer.
Classifying the visualization of analytically specified dynamical systems.
Machine GRAPHICS & VISION, 5(4):533-549, 1996.

48

H. Löffelmann, A. König, and E. Gröller.
Fast visualization of 2D dynamical systems by the use of virtual ink droplets.
In Proc. of Spring Conference on Computer Graphics and its Applications 1997, pages 111-118, Budmerice, Slovakia, June 1997.

49

H. Löffelmann, T. Kuera, and E. Gröller.
Visualizing Poincaré maps together with the underlying flow.
In H.-C. Hege and K. Polthier, editors, Mathematical Visualization, Algorithms, Applicatoins, and Numerics, pages 315-328. Springer, 1998.

50

H. Löffelmann, L. Mroz, and E. Gröller.
Hierarchical streamarrows for the visualization of dynamical systems.
In Proc. of 8th EUROGRAPHICS Workshop on Visualization in Scientific Computing, pages 203-211, April 1997.
Republished in W. Lefer and M. Grave (eds.): Visualization in Scientific Computing '97, Springer, pp. 155-163.

51

H. Löffelmann, L. Mroz, E. Gröller, and W. Purgathofer.
Stream arrows: enhancing the use of stream surfaces for the visualization of dynamical systems.
The Visual Computer, 13(8):359-369, 1997.

52

H. Löffelmann, Z. Szalavári, and E. Gröller.
Local analysis of dynamical systems - concepts and interpretation.
In Proc. of The Fourth International Conference in Central Europe on Computer Graphics and Visualization '96, pages 170-180, Plzen, Czech Republic, February 1996.

53

N. Max.
Optical models for direct volume rendering.
IEEE Transactions on Visualization and Computer Graphics, 1(2):99-108, June 1995.

54

N. Max, B. Becker, and R. Crawfis.
Flow volumes for interactive vector field visualization.
In Proc. of IEEE Visualization '93, pages 19-24, 1993.

55

W. Merzkirch.
Flow Visualization.
Academic Press, 2nd edition, 1987.

56

A. Milik.
Dynamics of Mixed-mode Oscillations.
PhD thesis, Vienna University of Technology, 1996.

57

A. Milik, P. Szmolyan, H. Löffelmann, and E. Gröller.
Geometry of mixed-mode oscillations in the 3-d autocatalator.
International Journal of Bifurcation and Chaos, 8(3):505-520, 1998.

58

Data analysis group (NAS, NASA) images and animations.
See URL http://science.nas.nasa.gov/Groups/VisTech/images.html, 1998.

59

G. Nielson, H. Hagen, and H. Müller.
Scientific Visualization: Overviews, Methodologies, and Techniques.
IEEE Computer Society Press, 1997.

60

G. Nielson, B. Shriver, and L. Rosenblum.
Visualization in Scientific Computing.
IEEE Computer Society Press tutorial. IEEE Computer Society Press, 1990.

61

H.-G. Pagendarm and B. Walter.
Feature detection from vector quantities in a numerically simulated hypersonic flow field in combination with experimental flow visualization.
In Proc. of IEEE Visualization '94, pages 117-123, October 1994.

62

H.-G. Pagendarm and B. Walter.
Feature detection in vector fields.
See URL http://www.sm.go.dlr.de/sm-sk_info/library/documents/hgpVis94/, 1995.

63

H.-O. Peitgen, H. Jürgens, and D. Saupe.
Chaos and Fractals - New Frontiers of Science.
Springer, 1992.

64

B.-T. Phong.
Illumination for computer generated pictures.
CACM June 1975, 18(6):311-317, 1975.

65

C. Pickover and S. Tewksbury, editors.
Frontiers of Scientific Visualization.
Wiley Interscience, 1993.

66

H. Poincaré.
Les Méthodes Nouvelles de la Mécanique Céleste (3 vols.).
Gauthier-Villars, 1899.

67

F. Post and T. van Walsum.
Fluid flow visualization.
In H. Hagen, H. Müller, and G. Nielson, editors, Focus on Scientific Visualization, pages 1-40. Springer, 1993.

68

F. Post, T. van Walsum, and F. Post.
Iconic techniques for feature visualization.
In Proc. of IEEE Visualization '95, pages 288-295, 1995.

69

F. Post and J. van Wijk.
Visual representation of vector fields: Recent developments and research directions.
In L. Rosenblum et al., editors, Scientific Visualization - Advances and Challenges, pages 367-390. Academic Press, 1994.

70

W. Press, S. Teukolsky, W. Vetterling, and B. Flannery.
Numerical Recipes in C.
Cambridge University Press, 1992.

71

P. Rheingans.
Opacity-modulating triangular textures for irregular surfaces.
In Proc. of IEEE Visualisation '96, pages 219-225, 1996.

72

S. Rinaldi.
Nonlinear dynamical systems: Bifurcation and chaos with applications in ecology.
Notes to a lecture held at the Institute of Econometrics, Vienna University of Technology, May 1995.

73

L. Rosenblum et al., editors.
Scientific Visualization - Advances and Challenges.
Academic Press, 1994.

74

M. Rumpf and R.-T. Happe.
Characterizing gobal features of simulation data by selected local icons.
In Virtual Environments and Scientific Visualization '96. Springer, 1996.

75

W. Schröder, C. Volpe, and W. Lorensen.
The stream polygon: A technique for 3D vector field visualization.
In Proc. of IEEE Visualization '91, pages 126-132, October 1991.

76

J. Sethna.
Poincaré section for the L5 point.
See URL http://www.physics.cornell.edu/sethna/teaching/sss/jupiter/Web/L5Poinc.htm.
Author's email is sethna@lassp.cornell.edu.

77

R. Seydel, F. Schneider, T. Küpper, and H. Troger, editors.
Bifurcation and Chaos: Analysis, Algorithms, Applications, volume 97 of International Series of Numerical Mathematics.
Birkhäuser, 1991.

78

H.-W. Shen and D. Kao.
UFLIC: A line integral convolution algorithm for visualizing unsteady flows.
In Proc. of IEEE Visualization '97, pages 317-323. IEEE Computer Society, http://www.computer.org/, 1997.

79

D. Stalling and H.-C. Hege.
Fast and resolution independent line integral convolution.
Computer Graphics (SIGGRAPH '95 Proceedings), pages 249-256, August 1995.

80

S. Strogatz.
Nonlinear Dynamics and Chaos: with applications to physics, biology, chemistry, and engineering.
Addison Wesley, 1994.

81

R. Tobler, H. Löffelmann, T. Galla, and W. Purgathofer.
BaBeL: A generic data structure for geometric modeling.
In Proc. of The Fourth International Conference in Central Europe on Computer Graphics and Visualization '96, pages 359-366, Plzen, Czech Republic, February 1996.

82

R. Tobler, H. Löffelmann, and W. Purgathofer.
VEGA: Vienna environment for graphics applications.
In Proc. of The Third International Conference in Central Europe on Computer Graphics and Visualization '95, pages 323-328, Plzen, Czech Republic, February 1995.

83

A. Tsonis.
Chaos - From Theory to Applications.
Plenum Press, 1992.

84

G. Turk and D. Banks.
Image-guided streamline placement.
Computer Graphics (SIGGRAPH '96 Proceedings), pages 453-460, August 1996.

85

M. van Dyke.
An Album of Fluid Motion.
The Parabolic Press, 1982.

86

T. van Walsum, F. Post, D. Silver, and F. Post.
Feature Extraction and Iconic Visualization.
IEEE Transactions on Visualization and Computer Graphics, 2(2):111-119, June 1996.

87

J. van Wijk.
Spot noise - texture synthesis for data visualization.
Computer Graphics (SIGGRAPH '91 Proceedings), 25:309-318, July 1991.

88

J. van Wijk.
Flow visualization with surface particles.
IEEE Computer Graphics & Applications, 13(4):18-24, July 1993.

5

R. Wegenkittl and E. Gröller.
Fast oriented line integral convolution for vector field visualization via the Internet.
In Proc. of IEEE Visualization '97, pages 309-316, October 1997.

90

R. Wegenkittl, E. Gröller, and W. Purgathofer.
Animating flowfields: Rendering of oriented line integral convolution.
In Proc. of Computer Animation '97, 1997.

91

R. Wegenkittl, H. Löffelmann, and E. Gröller.
Visualizing the behavior of higher dimensional dynamical systems.
In Proc. of IEEE Visualization '97, pages 119-125, October 1997.

92

S. Wiggins.
Introduction to Applied Nonlinear Dynamical Systems and Chaos, volume 2 of Texts in Applied Mathematics.
Springer, 3rd edition, 1996.

93

W. Yang, editor.
Handbook of Flow Visualization.
Hemisphere Publishing, 1989.

94

M. Zöckler, D. Stalling, and H.-C. Hege.
Interactive visualization of 3D vector fields using illuminated stream lines.
In Proc. of IEEE Visualization '96, pages 107-113, 1996.

mailto:helwig@cg.tuwien.ac.at.