Searchlight and Doppler effects in the visualization of special relativity

Weiskopf, Daniel; Kraus, Ute; Ruder, H.

doi:10.1145/336414.336459

Cited by 27 publications

(21 citation statements)

References 17 publications

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“…The magnification factor is given by see Weiskopf et al [13] for a detailed discussion. For velocities v sr close to the speed of light, we have very strong blueshift and huge magnification in the direction of motion.…”

Section: View From the Bridgementioning

confidence: 99%

Detailed study of null and timelike geodesics in the Alcubierre warp spacetime

Müller

Weiskopf

2011

Gen Relativ Gravit

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The geodesic equation of the Alcubierre warp spacetime is converted into its non-affinely parametrized form for a detailed discussion of the motion of particles and the visual effects as observed by a traveller inside the warp bubble or a person looking from outside. To include gravitational lensing for point-like light sources, we present a practical approach using the Jacobi equation and the Sachs bases. Additionally, we consider the dragging and geodesic precession of particles due to the warp bubble.

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Section: View From the Bridgementioning

confidence: 99%

Detailed study of null and timelike geodesics in the Alcubierre warp spacetime

Müller

Weiskopf

2011

Gen Relativ Gravit

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“…The corresponding primed variables

(θ^{'}, φ^{'})

and

λ^{'}

define radiance

L^{'}

measured in

O^{'}

. To obtain the modified radiance

L^{'}

given L and the speed of the sensor, we need to apply the following equation [WKR99]:

L^{'} (θ^{'}, φ^{'}, λ^{'}) = D^{- 5} L (prefixarccos \frac{prefixcos θ^{'} + β}{1 + β prefixcos θ^{'}}, φ^{'}, \frac{λ^{'}}{D}),

where

D = γ (1 + β c o s θ^{'})

and

γ = 1 / \sqrt{1 - β^{2}}

are the Doppler and Lorentz factors, respectively. This equation accounts for all three factors: light aberration, the Doppler effect and the searchlight effect.…”

Section: Relativistic Renderingmentioning

confidence: 94%

“…We build our relativistic visualization framework on the derivations by Weiskopf et al . [WKR99]. We consider two inertial frames, O and

O^{'}

, where

O^{'}

(the sensor) is moving with velocity

v = β c

with respect to O , with

β \in [0 . . \pm 1)

.…”

Section: Relativistic Renderingmentioning

confidence: 99%

Relativistic Effects for Time‐Resolved Light Transport

Jarabo

Masiá

Velten

et al. 2015

Computer Graphics Forum

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We present a real-time framework which allows interactive visualization of relativistic effects for time-resolved light transport. We leverage data from two different sources: real-world data acquired with an effective exposure time of less than 2 picoseconds, using an ultrafast imaging technique termed femto-photography, and a transient renderer based on ray-tracing. We explore the effects of time dilation, light aberration, frequency shift and radiance accumulation by modifying existing models of these relativistic effects to take into account the time-resolved nature of light propagation. Unlike previous works, we do not impose limiting constraints in the visualization, allowing the virtual camera to explore freely a reconstructed 3D scene depicting dynamic illumination. Moreover, we consider not only linear motion, but also acceleration and rotation of the camera. We further introduce, for the first time, a pinhole camera model into our relativistic rendering framework, and account for subsequent changes in focal length and field of view as the camera moves through the scene.

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“…This method was proposed by Weiskopf in [6] and developed in [14]. The main goal of the method is to use extended texture mapping technique to transform standard image of the environment to the coordinate system of very fast moving observer.…”

Section: Previous Workmentioning

confidence: 99%

Interactive Visualization of Relativistic Effects with the Hardware Acceleration

Mantiuk

Murawko-Wisniewska

Zdrojewska

2004

Computational Science - ICCS 2004

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Abstract. This paper describes an interactive rendering technique for the special relativistic visualization of fast moving objects. The method takes into consideration relativistic aberration of light and Doppler effect. Programmable graphics hardware is used to achieve interactive visualization. Standard texture mapping pipeline is modified on per-pixels basis and relativistic effects are rendered. The basis of optical relativistic phenomena and a survey of relativistic real time rendering techniques are also presented in the paper.

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Searchlight and Doppler effects in the visualization of special relativity

Cited by 27 publications

References 17 publications

Detailed study of null and timelike geodesics in the Alcubierre warp spacetime

Detailed study of null and timelike geodesics in the Alcubierre warp spacetime

Relativistic Effects for Time‐Resolved Light Transport

Interactive Visualization of Relativistic Effects with the Hardware Acceleration

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