TY - RPRT

T1 - Spatial and Temporal Ray Differentials

AU - Sporring, Jon

AU - Schjøth, Lars

AU - Erleben, Kenny

PY - 2009

Y1 - 2009

N2 - We consider ray bundles emanating from a source such as a camera or light source. We derive the full spatial and temporal structure to ¿rst order of the intersection of ray bundles with scene geometry, where scene geometry given as any implicit function. Further, we present the full details of 2 often used geometrical representations. The ¿rst order structure may be used as the linear approximation of the change of photons as the camera, ob jects, and light source change as function of space and time. Our work generalises previous work on ray differentials [Igehy, 1999] and photon differentials [Schjøth et al., 2007].

AB - We consider ray bundles emanating from a source such as a camera or light source. We derive the full spatial and temporal structure to ¿rst order of the intersection of ray bundles with scene geometry, where scene geometry given as any implicit function. Further, we present the full details of 2 often used geometrical representations. The ¿rst order structure may be used as the linear approximation of the change of photons as the camera, ob jects, and light source change as function of space and time. Our work generalises previous work on ray differentials [Igehy, 1999] and photon differentials [Schjøth et al., 2007].

M3 - Report

T3 - Technical Report

BT - Spatial and Temporal Ray Differentials

PB - Department of Computer Science, University of Copenhagen

CY - Department of Computer Science

ER -