Summary: International Journal of Computer Vision 73(2), 123138, 2007
c 2007 Springer Science + Business Media, LLC. Manufactured in the United States.
Shape and View Independent Reflectance Map from Multiple Views
TIANLI YU, NING XU AND NARENDRA AHUJA
University of Illinois at Urbana-Champaign
Received October 4, 2005; Revised May 24, 2006; Accepted June 2, 2006
First online version published in July 2006
Abstract. We consider the problem of estimating the 3D shape and reflectance properties of an object made of
a single material from a set of calibrated views. To model the reflectance, we propose to use the View Indepen-
dent Reflectance Map (VIRM), which is a representation of the joint effect of the diffuse+specular Bidirectional
Reflectance Distribution Function (BRDF) and the environment illumination. The object shape is parameterized
using a triangular mesh. We pose the estimation problem as minimizing the cost of matching input images, and the
images synthesized using the shape and VIRM estimates. We show that by enforcing a constant value of VIRM
as a global constraint, we can minimize the cost function by iterating between the VIRM and shape estimation.
Experimental results on both synthetic and real objects show that our algorithm can recover both the 3D shape
and the diffuse/specular reflectance information. Our algorithm does not require the light sources to be known or
calibrated. The estimated VIRM can be used to predict the appearances of objects with the same material from
novel viewpoints and under transformed illumination.