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Daniel Weiskopf: Aesthetics and Relativity. ( Visualization of Four-Dimensional Spacetimes: )

== Reference ==
Daniel Weiskopf: Visualization of Four-Dimensional Spacetimes. Dissertation, Fakultät Physik, Eberhard-Karls-Universität Tübingen. 2001.
̈ zu Tubingen

== DOI ==

== Abstract ==
In this thesis, new and improved methods for the visualization of four-dimensional
spacetimes are presented.

The first part of this thesis deals with the flat spacetime of special relativity. A unified
physical basis for special relativistic visualization is established. Issues of illumination,
color vision, transformation of properties of light, and the kinematics of accelerating
bodies are discussed. In particular, a derivation of the transformation of radiance is
included.

Rendering techniques for special relativistic visualization are presented. Previously
known techniques—special relativistic polygon rendering and special relativistic ray
tracing—are described in a unified framework. It is shown how relativistic effects on
illumination can be incorporated in these techniques and it is demonstrated that visual
perception is dominated by the searchlight and Doppler effects. Relativistic radios-
ity, texture-based relativistic rendering, and image-based relativistic rendering are pro-
posed as new rendering methods. Relativistic radiosity can visualize effects on illumi-
nation up to arbitrary accuracy for scenes made of diffuse materials. Radiosity is well
suited for interactive walk-throughs, but also for high-quality images. Texture-based
relativistic rendering utilizes the texture-mapping hardware to implement the relativis-
tic transformations. It is most appropriate for interactive applications which visualize
special relativistic effects on both geometry and illumination. Image-based relativistic
rendering closes the gap between well-known non-relativistic image-based techniques
and relativistic visualization. Image-based rendering does not require laborious three-
dimensional modeling and achieves photo-realism at high rendering speeds. Image-
based relativistic rendering allows to generate photo-realistic images of rapidly moving
real-world objects with great ease and is a powerful tool to produce movies and snap-
shots for both entertainment and educational purposes.

Interactive virtual environments for the exploration of special relativity are intro-
duced. The first environment is a simple “relativistic flight simulator” which runs on
a standard PC or graphics workstation. The second system is a sophisticated immer-
sive virtual environment which exploits multi-pipe and multi-processor architectures.
Parallelization of the relativistic transformation results in the same frame rates for rel-
ativistic rendering as for standard non-relativistic rendering. The relativistic-vehicle-
control metaphor is introduced for navigating at high velocities. This metaphor contains
a physics-based camera control and provides both active and passive locomotion.
The second part of the thesis deals with curved four-dimensional spacetimes of gen-
eral relativity. Direct visualization of what an observer would see in a general relativistic
setting is achieved by means of non-linear ray tracing. A generic system is presented
for ray tracing in spacetimes described by a single chart. The suitability of ray tracing
as a visualization tool is demonstrated by means of two examples—the rigidly rotating
disk of dust and the warp metric. Extensions to single-chart ray tracing are proposed
to incorporate the differential-geometric concept of an atlas. In this way, spacetimes of
complex topologies can be considered. An example is included, showing the visualiza-
tion of a wormhole.

Ray tracing is applied to the field of gravitational lensing. It is shown how the vi-
sualization of standard lensing can be included in a ray tracing system. Furthermore,
ray tracing allows to investigate deflecting objects beyond the approximations of stan-
dard lensing. For example, large angles of deflections can be considered. The caustic
finder is proposed as a numerical method to identify two-dimensional caustic structures
induced by a gravitational lens.

The inner geometry of two-dimensional spatial hypersurfaces can be visualized by
isometric embedding in three-dimensional Euclidean space. A method is described
which can embed surfaces of spherical topology. This embedding scheme supports
sampled metric data which may originate from numerical simulations.

Finally, a specific application in classical visualization is described. Classical visu-
alization means the visual representation of data from relativistic simulations without
taking into account the curvature of spacetime. An algorithm for the adaptive trian-
gulation of height fields is developed in order to achieve a good mesh quality, even in
areas where the underlying function has high gradients. Height field visualization is
exemplarily applied to data from neutron star simulations.

== Extended Abstract ==

== Bibtex ==

== Used References ==
exit because c&p problems

== Links ==
=== Full Text ===
https://publikationen.uni-tuebingen.de/xmlui/bitstream/handle/10900/48159/pdf/01dissertation.pdf?sequence=1&isAllowed=y

[[intern file]]

=== Sonstige Links ===
https://publikationen.uni-tuebingen.de/xmlui/handle/10900/48159

http://www.vis.uni-stuttgart.de/~weiskopf/publications/index.html

Link to: Daniel Weiskopf: Aesthetics and Relativity. In: [[Computational Aesthetics 2006]].

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-Daniel Weiskopf: Aesthetics and Relativity. ( Visualization of Four-Dimensional Spacetimes: )
 == Reference ==
 Daniel Weiskopf: Visualization of Four-Dimensional Spacetimes. Dissertation, Fakultät Physik, Eberhard-Karls-Universität Tübingen. 2001.
 == DOI ==

Visualization of Four-Dimensional Spacetimes - Versionsgeschichte

Gbachelier am 4. Dezember 2014 um 17:40 Uhr

Gbachelier: Die Seite wurde neu angelegt: „Daniel Weiskopf: Aesthetics and Relativity. ( Visualization of Four-Dimensional Spacetimes: ) == Reference == Daniel Weiskopf: Visualization of Four-Dimensi…“