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Searchlight and Doppler Effects in the Visualization of Special Relativity: A Corrected Derivation of the Transformation of Radiance
, 1999
"... this article gives a comprehensive presentation of special relativistic rendering. We will demonstrate that a photorealistic image would be dominated by the searchlight and Doppler effects, which are greatly underestimated when one is viewing the examples given by Chang et al. The Doppler effect ca ..."
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Cited by 15 (7 self)
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this article gives a comprehensive presentation of special relativistic rendering. We will demonstrate that a photorealistic image would be dominated by the searchlight and Doppler effects, which are greatly underestimated when one is viewing the examples given by Chang et al. The Doppler effect causes a shift in wavelength of the incoming light, which results in a change of color. The searchlight effect increases the apparent brightness of the objects ahead when the observer is approaching these objects at high velocity. Amongst others, the Doppler effect, the relativistic aberration of light, and the time dilation contribute to the searchlight effect. 2. DERIVATION OF THE TRANSFORMATIONS 2.1 The Transformation of Radiance
A Texture Mapping Approach for the Visualization of Special Relativity
, 1999
"... This paper describes a novel rendering technique for the special relativistic visualization of the apparent geometry of fast moving objects. This method is based on the relativistic aberration of light and makes use of texture mapping. Interactive frame rates are possible, since texture mapping is s ..."
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Cited by 5 (2 self)
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This paper describes a novel rendering technique for the special relativistic visualization of the apparent geometry of fast moving objects. This method is based on the relativistic aberration of light and makes use of texture mapping. Interactive frame rates are possible, since texture mapping is supported by modern graphics hardware. Unlike the wellknown relativistic polygon rendering approach, the texturebased relativistic rendering allows for a physically correct treatment of the geometric quantities that effect the calculation of illumination. Furthermore, no artifacts due to relativistic transformations are introduced.
A Survey of Visualization Methods for Special Relativity
"... Abstract. This paper provides a survey of approaches for special relativistic visualization. Visualization techniques are classified into three categories: Minkowski spacetime diagrams, depictions of spatial slices at a constant time, and virtual camera methods that simulate image generation in a re ..."
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Cited by 3 (0 self)
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Abstract. This paper provides a survey of approaches for special relativistic visualization. Visualization techniques are classified into three categories: Minkowski spacetime diagrams, depictions of spatial slices at a constant time, and virtual camera methods that simulate image generation in a relativistic scenario. The paper covers the historical outline from early handdrawn visualizations to stateoftheart computerbased visualization methods. This paper also provides a concise presentation of the mathematics of special relativity, making use of the geometric nature of spacetime and relating it to geometric concepts such vectors and linear transformations. 1
Visualization in the Einstein Year 2005: A Case Study on Explanatory and Illustrative Visualization of Relativity and Astrophysics
"... with relativistic and astrophysical visualization, which has been culminating in a substantial engagement for visualization in the Einstein Year 2005the 100 anniversary of Einstein's publications on special relativity, the photoelectric effect, and Brownian motion. This paper focuses on e ..."
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with relativistic and astrophysical visualization, which has been culminating in a substantial engagement for visualization in the Einstein Year 2005the 100 anniversary of Einstein's publications on special relativity, the photoelectric effect, and Brownian motion. This paper focuses on explanatory and illustrative visualizations used to communicate aspects of the difficult theories of special and general relativity, their geometric structure, and of the related fields of cosmology and astrophysics. We discuss visualization strategies, motivated by physics education and didactics of mathematics, and describe what kind of visualization methods have proven to be useful for different types of media, such as still images in popularscience magazines, film contributions to TV shows, oral presentations, or interactive museum installations. Although our visualization tools build upon existing methods and implementations, these techniques have been improved by several novel technical contributions like imagebased special relativistic rendering on GPUs, an extension of general relativistic ray tracing to manifolds described by multiple charts, GPUbased interactive visualization of gravitational light deflection, as well as planetary terrain rendering. The usefulness and effectiveness of our visualizations are demonstrated by reporting on experiences with, and feedback from, recipients of visualizations and collaborators.
Daniel Weiskopf Visualization of
"... In this thesis, new and improved methods for the visualization of fourdimensional 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, colo ..."
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In this thesis, new and improved methods for the visualization of fourdimensional 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 radiosity, texturebased relativistic rendering, and imagebased relativistic rendering are proposed as new rendering methods. Relativistic radiosity can visualize effects on illumination
A Texture Mapping Approach for the Visualization of Special Relativity
, 1999
"... This paper describes a novel rendering technique for the special relativistic visualization of the apparent geometry of fast moving objects. This method is based on the relativistic aberration of light and makes use of texture mapping. Interactive frame rates are possible, since texture mapping is s ..."
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This paper describes a novel rendering technique for the special relativistic visualization of the apparent geometry of fast moving objects. This method is based on the relativistic aberration of light and makes use of texture mapping. Interactive frame rates are possible, since texture mapping is supported by modern graphics hardware. Unlike the wellknown relativistic polygon rendering approach, the texturebased relativistic rendering allows for a physically correct treatment of the geometric quantities that effect the calculation of illumination. Furthermore, no artifacts due to relativistic transformations are introduced. CR Categories: I.3.7 [Computer Graphics]: ThreeDimensional Graphics and RealismColor, shading, shadowing, and texture I.3.8 [Computer Graphics]: ApplicationsSpecial Relativity J.2 [Physical Sciences and Engineering]: Theoretical Astrophysics Keywords: special relativity, visualization, texture mapping 1 Introduction Einstein's Theory of Special Relativ...
The Geometry of Relativistic Spacetime: from Euclid's Geometry to Minkowski's Spacetime
"... "...the word relativitypostulate for the requirement of the invariance under the group Gc seems to me very feeble. Since the postulate comes to mean that only the fourdimensional world in space and time is given by phenomena, but that the projection in space and in time may still be undertake ..."
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"...the word relativitypostulate for the requirement of the invariance under the group Gc seems to me very feeble. Since the postulate comes to mean that only the fourdimensional world in space and time is given by phenomena, but that the projection in space and in time may still be undertaken with a certain degree of freedom, I prefer to call it the postulate of the absolute world (or brie
y the worldpostulate)."
zur Erlangung des Grades eines
"... Compilercompilers are tools that generate substitutes for handwritten compiler components from highlevel formal specifications. Such tools exist for lexical, syntactic and semantic analysis, optimizers and code generation. The established benefits are reduced development time and increased confid ..."
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Compilercompilers are tools that generate substitutes for handwritten compiler components from highlevel formal specifications. Such tools exist for lexical, syntactic and semantic analysis, optimizers and code generation. The established benefits are reduced development time and increased confidence in the correctness of the resulting software. This thesis presents a generator for type checkers. Given a description of the type system by typing rules, the generator yields a type checker that constructs proofs using the typing rules. Unlike earlier approaches, we derive suitable notions of proof and typing rule from an analysis of type systems and from corresponding constructs in mathematical proof theory. The approach thus respects the structure and intention of the typing rules, rather than expressing the rules in some preexisting formalism. The given applications comprise type checkers for imperative, objectoriented and functional languages, including ML type inference. The typing rules for these checkers directly represent those found in the literature. They naturally describe the typing of single language constructs and they can be reused in different checkers.