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Single View Reflectance Capture using Multip***d Scattering and Time-of-flight Imaging
Nikhil Naik Shuang Zhao Andreas Velten Ramesh Raskar Kavita Bala
MIT Media Lab Cornell University
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Abstract
This paper introduces the concept of time-of-flight reflectance esti-
mation, and demonstrates a new technique that allows a camera to
rapidly acquire reflectance properties of objects from a single view-
point, over relatively long distances and without encircling equip-
ment. We measure material properties by indirectly illuminating
an object by a laser source, and observing its reflected light indi-
rectly using a time-of-flight camera. The configuration collectively
acquires dense angular, but low spatial sampling, within a limited
solid angle range - all from a single viewpoint. Our ultra-fast imag-
ing approach captures space-time “streak images" that can separate
out different bounces of light based on path length. Entanglements
arise in the streak images mixing signals from multiple paths if they
have the same total path length. We show how reflectances can be
recovered by solving for a linear system of equations and assuming
parametric material models; fitting to lower dimensional reflectance
models enables us to disentangle measurements.
We demonstrate proof-of-concept results of parametric reflectance
models for homogeneous and discretized heterogeneous patches,
both using simulation and experimental hardware. As compared
to lengthy or highly calibrated BRDF acquisition techniques, we
demonstrate a device that can rapidly, on the order of seconds, cap-
ture meaningful reflectance information. We expect hardware ad-
vances to improve the portability and speed of this device.
Keywords: computational photography, multipath light transport,
reflectance acquisition, global illumination, time of flight
1 Introduction
Acquiring material properties of real-world materials has a long
and rich history in computer graphics; existing techniques di-
rectly image the sample being measured to acquire different proper-
ties including tabulated reflectance functions, spatially varying re-
flectances, and parametric models (see [Weyrich et al. 2009] for a
survey of state-of-the-art techniques.). These reflectance functions,
are necessary for relighting, material editing, and rendering, as well
as for matching and material identification.
In this paper, we present a new acquisition approach to reflectance
measurement. Our approach is unique in two ways: we exploit
ultra-fast time-of-flight (ToF) imaging to achieve rapid acquisition
of materials; and we use indirect observation to acquire many sam-
ples simultaneously, and in fact, even permit around-the-corner
measurement of reflectance properties. The key insight of this re-
search is to exploit ultra-fast imaging to measure individual light
transport paths, based on the distance traveled at the speed of light.
This capability uniquely lets us separately measure the direct (0-
bounce), 1-bounce, 2-bounce, and more, light paths; in comparison,
traditional approaches use controlled laboratory settings to mini-
mize the impact of multi-bounce light transport, or must explicitly
separate direct and indirect lighting from all bounces.
We make the following contributions:
a) We present a new technique for reflectance acquisition by sep-
arating light multip***d along different transport paths. Our ap-
proach uses indirect viewing with 3-bounce scattering coupled
with time-of-flight imaging to capture reflectances. Our proof-of-
concept system demonstrates first steps towards rapid material ac-
quisition.
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