… Our focal surface estimation provides a new discrete shape operator … For example, the focal
surfaces of the reflection rays … extend these insights of focal surfaces to discrete geometry. …

… Our focal surface estimation provides a new discrete shape operator … For example, the focal
surfaces of the reflection rays … extend these insights of focal surfaces to discrete geometry. …

… Graphics and Geometric Modeling. This emerging field at the border between differential
and discrete geometry provides attractive tools for processing discrete surface representations …

… computation on a surface, we have first to approximate it by some discrete representation.
In … discrete approximations to surfaces. In mathematics, properties of discrete geometric …

… geometry we know that the principal curvature centers of a surface form the so-called focal
surface… The ruled surface which consists of the surface normals along a principal curvature …

… The new field of discrete differential geometry is presently emerging on the … discrete
geometry. Whereas classical differential geometry investigates smooth geometric shapes, discrete …

… discrete forms. This book provides detailed methods and algorithms in discrete geometry,
especially digital geometry… other types of geometry such as differential geometry and algebraic …

… optics and surfaces are not dependent on light wavelength. These hypotheses allow us to
describe the geometry of the scene with a function s : IR27! ½0;1Ž that we call surface and the …

… geometry investigates smooth geometric shapes (such as surfaces), and discrete geometry
studies geometric … Applying the same construction to the second focal point A we obtain …

… are getting increasingly complex geometric shapes. … geometry as a science related to
current trends in architectural and urban design. Constructive processing of geometric surfaces …