Non-Lambertian shading and photometric stereo

Hemant D. Tagare; Rui J. P. de Figueiredo

doi:10.1117/12.20008

1 January 1990 Non-Lambertian shading and photometric stereo

Hemant D. Tagare, Rui J. P. de Figueiredo

Proceedings Volume 1260, Sensing and Reconstruction of Three-Dimensional Objects and Scenes; (1990) https://doi.org/10.1117/12.20008
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

Abstract

Classical shape-from-shading and photometric stereo theones assume that diffuse reflection from real-world surfaces is Lambertian. However, there is considerable evidence that diffuse reflection from a large dass of surfaces is nonLambertian' . Using a Lambertian model to reconstruct such surfaces can cause serious errors in the reconstruction. In this paper, we propose a theory of non-Lambertian shading and photometric stereo. First, we explore the physics of scattering and obtain a realistic model for the reflectance map of non-Lambertian surfaces. The reflectance map is significantly non-linear. We then explore the number of light sources and the conditions on their placement for a globally unique inversion of the photometric stereo equation for this reflectance map. We theoretically establish the minimum number oflight sources needed to achieve this. These results are then extended in several directions. The main part of the extension is the joint estimation of surface normal along with the surface albedo. In the literature, this problem has been addressed only for Lambertian surfaces. We establish some basic results on the problem ofjoint estimation using the manifold structure of intensities obtained from photometric stereo. We will show that the joint estimation problem is ill-posed and propose a regularization scheme for it. Our experiments show that using the techniques proposed here, the fidelity of reconstruction can be increased by an order of magnitude over existing techniques.

Citation Download Citation

Hemant D. Tagare and Rui J. P. de Figueiredo "Non-Lambertian shading and photometric stereo", Proc. SPIE 1260, Sensing and Reconstruction of Three-Dimensional Objects and Scenes, (1 January 1990); https://doi.org/10.1117/12.20008

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
12 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Reflectivity

Light sources

Bidirectional reflectance transmission function

Reflection

Backscatter

Spherical lenses

Radiative transfer

Show All Keywords

Keywords/Phrases

Search In:

Publication Years