Results 1 -
3 of
3
Image-Space Caustics and Curvatures
"... Caustics are important visual phenomena, as well as challenging global illumination effects in computer graphics. Physically caustics can be interpreted from one of two perspectives: in terms of photons gathered on scene geometry, or in terms of a pair of caustic surfaces. These caustic surfaces are ..."
Abstract
-
Cited by 7 (2 self)
- Add to MetaCart
Caustics are important visual phenomena, as well as challenging global illumination effects in computer graphics. Physically caustics can be interpreted from one of two perspectives: in terms of photons gathered on scene geometry, or in terms of a pair of caustic surfaces. These caustic surfaces
Gravitational Lensing by Dark Matter Caustics
, 2004
"... There are compelling reasons to believe that the dark matter of the universe is constituted, in large part, by non-baryonic collisionless particles with very small primordial velocity dispersion. Such particles are called cold dark matter (CDM). The leading candidates are axions and weakly interacti ..."
Abstract
- Add to MetaCart
is tangent to a smooth caustic surface. The curvature of the surface at the tangent point is positive, negative, or zero. In the fourth case, the line of sight passes near a cusp. For each case we derive the map between the image and source planes. In some cases, a point source has multiple images
Flat surfaces with singularities in Euclidean 3-space, preprint
, 605
"... ABSTRACT. It is classically known that complete flat (that is, zero Gaussian curvature) surfaces in Euclidean 3-space R 3 are cylinders over space curves. This implies that the study of global behaviour of flat surfaces requires the study of singular points as well. If a flat surface f admits singul ..."
Abstract
-
Cited by 12 (4 self)
- Add to MetaCart
ABSTRACT. It is classically known that complete flat (that is, zero Gaussian curvature) surfaces in Euclidean 3-space R 3 are cylinders over space curves. This implies that the study of global behaviour of flat surfaces requires the study of singular points as well. If a flat surface f admits