Tales of Shape and Radiance in Multi-view Stereo
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Abstract
To what extent can three-dimensional shape and radiance
be inferred from a collection of images? Can the two be estimated
separately while retaining optimality? How should
the optimality criterion be computed? When is it necessary
to employ an explicit model of the reflectance properties of
a scene? In this paper we introduce a separation principle
for shape and radiance estimation that applies to Lambertian
scenes and holds for any choice of norm. When the
scene is not Lambertian, however, shape cannot be decoupled
from radiance, and therefore matching image-to-image
is not possible directly. We employ a rank constraint on
the radiance tensor, which is commonly used in computer
graphics, and construct a novel cost functional whose minimization
leads to an estimate of both shape and radiance
for non-Lambertian objects, which we validate experimentally.
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2003-10
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