Technical Papers
Light in Power: A General and Parameter-free Algorithm for Caustic Design
Event Type
Technical Papers
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TimeThursday, 6 December 20183:07pm - 3:33pm
DescriptionWe present in this paper a generic and parameter-free algorithm to efficiently
build a wide variety of optical components, such as mirrors or lenses, that
satisfy some light energy constraints. In all of our problems, one is given a
collimated or point light source and a desired illumination after reflection or
refraction and the goal is to design the geometry of a mirror or lens which
transports exactly the light emitted by the source onto the target. We first
propose a general framework and show that eight different optical component
design problems amount to solving a Light Energy Conservation equation
that involves the computation of Visibility diagrams. We then show that
these diagrams all have the same structure and can be obtained by intersecting a
3D Power diagram with a planar or spherical domain. This allows us to propose an
efficient and fully generic algorithm capable to solve these eight optical
component design problems. The support of the prescribed target illumination can be a set of directions or a set of points located at a finite distance. Our solutions can satisfy design constraints such as
convexity or concavity and are always graphs over the plane or the
sphere. We show the effectiveness of our algorithm on numerous
simulated and fabricated examples.