Relativistic Effects for Time‐Resolved Light Transport

Jarabo, Adrián; Masiá, Belén; Velten, Andreas; Barsi, Christopher; Raskar, Ramesh; Gutiérrez, Diego

doi:10.1111/cgf.12604

Cited by 15 publications

(8 citation statements)

References 40 publications

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“…This equation is remarkably similar to the usual functional form in the relativistic literature [6,7], with the difference that the LF is replaced by the new ATF γ R .…”

Section: A Special Case Where α > 0 •mentioning

confidence: 83%

The Lorentz factor in a reverse coordinate system

Roldán¹,

Sempertegui²,

Roldán³

2022

Preprint

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In the present study, we have derived the Lorentz factor using a coordinate system with antiparallel X-axes. Using a thought experiment, common in relativistic literature, we have used the case of a pulse of light moving along the X-axis. Next, we have argued that, consequently with the isotropy of space, the result must be the same if the trajectory of the light pulse is any angle α > 0 • , thus obtaining an alternative transformation factor that generates the same results as the Lorenz factor at any angle of the trajectory of the light pulse, therefore confirming the relativistic isotropy of space in the context of the Minkowski spacetime. Nevertheless, a particularly important novelty is that the derived alternative transformation factor allows the reference frames involved to move at speeds greater than that of light.

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“…This equation is remarkably similar to the usual functional form in the relativistic literature [6,7], with the difference that the LF is replaced by the new ATF γ R .…”

Section: A Special Case Where α > 0 •mentioning

confidence: 83%

The Lorentz factor in a reverse coordinate system

Roldán¹,

Sempertegui²,

Roldán³

2022

Preprint

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“…It should be noted that in the literature, it is common to find equation (30) used to establish the relationship between the indicated angles [13,3]. This equation provides the same calculations as the CSE combined; however, we use the equations in Table 1 because this allows us to analyze the results of the two transformation factors.…”

Section: Relationship Between Angles Of Aberrationmentioning

confidence: 99%

An alternative transformation factor in the framework of the relativistic aberration of light

Roldán¹,

Sempertegui²,

Roldán³

2021

Preprint

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In the present study, we analyze in combination the principles of special relativity and the phenomenon of the aberration of light, deriving a system of equations that allows establishing the relationship between the angles commonly involved in this phenomenon. As a consequence, a transformation factor is obtained that generates two solutions, one of them with the same values as the Lorentz factor. This suggests that due to relativistic aberration, an apparent double image of celestial objects could be obtained. On the other hand, its functional form does not establish a limit to the speed of the reference frames with inertial movement.

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“…Note that we assume that the matter does not change at time‐scales comparable to the speed of light, and therefore avoid any temporal dependence on

μ_{s}

and

μ_{t}

. Introducing temporal variation at such speeds would produce visible relativistic effects [WKR99, JMV*15].…”

Section: Transient Radiative Transfermentioning

confidence: 99%

Progressive Transient Photon Beams

Marco

Guillén

Jarosz

et al. 2019

Computer Graphics Forum

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In this work, we introduce a novel algorithm for transient rendering in participating media. Our method is consistent, robust and is able to generate animations of time‐resolved light transport featuring complex caustic light paths in media. We base our method on the observation that the spatial continuity provides an increased coverage of the temporal domain, and generalize photon beams to transient‐state. We extend stead‐state photon beam radiance estimates to include the temporal domain. Then, we develop a progressive variant of our approach which provably converges to the correct solution using finite memory by averaging independent realizations of the estimates with progressively reduced kernel bandwidths. We derive the optimal convergence rates accounting for space and time kernels, and demonstrate our method against previous consistent transient rendering methods for participating media.

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Relativistic Effects for Time‐Resolved Light Transport

Cited by 15 publications

References 40 publications

The Lorentz factor in a reverse coordinate system

The Lorentz factor in a reverse coordinate system

An alternative transformation factor in the framework of the relativistic aberration of light

Progressive Transient Photon Beams

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