SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Visualizing relativistic effects in spacetime
Proceedings of the 1989 ACM/IEEE conference on Supercomputing
T-buffer: fast visualization of relativistic effects in space-time
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Time dilation visualization in relativity
Proceedings of the 1990 ACM/IEEE conference on Supercomputing
An updated cross-indexed guide to the ray-tracing literature
ACM SIGGRAPH Computer Graphics
Image shading taking into account relativistic effects
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Real-world relativity: image-based special relativistic visualization
Proceedings of the conference on Visualization '00
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One of the most visible aspects of special relativity is the relativistic Doppler effect --- the dependence of observed radiation wavelengths upon the velocity of the source and the viewing conditions.In this paper, we present a flexible and efficient method to simulate the Doppler shift. This new method has the following features:• Surface properties and light composition are represented by splines as functions of wavelength. The entire electromagnetic (EM) spectrum can therefore be represented efficiently.• Doppler shift and shading operations are performed through the manipulation of spline coefficients. The evaluation of the spline functions is carried out at the end of each shading loop to generate the display R, G, B values.This method simplifies the management of the shift and reduces the calculations necessary to maintain a spectral description of lights and surfaces.The study of astrophysical phenomenon, which are being color-shifted by individual recession velocity and by the expansion of the universe, requires the use of knowledge about the Doppler effect. Our simulations may contribute visual insight and understanding that enhances such knowledge.