Unambiguous determination of shape from photometric stereo with unknown light sources

Drbohlav, Ondřej; Šára, Radim

doi:10.1109/iccv.2001.937570

Cited by 43 publications

(31 citation statements)

References 13 publications

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“…For instance, Drbohlav andŠára [11] showed how to disambiguate surface orientations from uncalibrated photometric stereo images by altering the polarisation angles of the incident and emitted light. Their method uses two projections of the object normals onto two planes perpendicular to both the viewing direction and the illumination direction.…”

Section: Introductionmentioning

confidence: 99%

Shape and Refractive Index from Single-View Spectro-Polarimetric Images

2012

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In this paper, we address the problem of the simultaneous recovery of the shape and refractive index of an object from a spectro-polarimetric image captured from a single view. Here, we focus on the diffuse polarisation process occuring at dielectric surfaces due to subsurface scattering and transmission from the object surface into the air. The diffuse polarisation of the reflection process is modelled by the Fresnel transmission theory. We present a method for estimating the azimuth angle of surface normals from the spectral variation of the phase of polarisation. Moreover, we estimate the zenith angle of surface normals and index of refraction simultaneously in a well-posed optimisation framework. We achieve well-posedness by introducing two additional constraints to the problem, including the surface integrability and the material dispersion equation. This yields an iterative solution which is computationally efficient due to the use of closed-form solutions for both the zenith angle and the refractive index in each iteration. To demonstrate the effectiveness of our approach, we show results of shape recovery and surface rendering for both real-world and synthetic imagery.

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Section: Introductionmentioning

confidence: 99%

Shape and Refractive Index from Single-View Spectro-Polarimetric Images

2012

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“…Also, they proved that the quadratic shape of specular objects can be estimated from two views 6) . Drbohlav andŠára 7) estimated the shape of diffuse objects by combining polarization analysis and photometric stereo. Miyazaki, et al 8) estimated the shape and reflectance of specular objects and the illuminant direction from one view.…”

Section: Related Workmentioning

confidence: 99%

Shape Estimation of Transparent Objects by Using Polarization Analyses

Miyazaki

Ikeuchi

2006

ipsjdc

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Recently, techniques developed in the field of computer graphics and virtual reality have been applied to many environments, with the result that measuring the 3D shapes of real objects has become increasingly important. However, few methods have been proposed to measure the 3D shape of transparent objects such as glass and acrylics. In this paper, we introduce three methods that estimate the surface shape of transparent objects by using polarization analysis. The first method determines the surface shape of a transparent object by using knowledge established in the research field of thermodynamics. The second method determines the surface shape of a transparent object by using knowledge established in the research field of differential geometry. The third method gives an initial value of the surface shape and then determines the true surface shape of a transparent object by iterative computation. At the end of the paper, we discuss the advantages and the disadvantages of these three methods.

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“…[14]. Drbohlav and Sara [15] showed how the Bas-relief ambiguity [4] in uncalibrated photometric stereo could be resolved using polarisation. However, this approach requires a polarised light source.…”

Section: Related Workmentioning

confidence: 99%

Linear Depth Estimation from an Uncalibrated, Monocular Polarisation Image

Smith

Ramamoorthi

Tozza

2016

Lecture Notes in Computer Science

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Abstract. We present a method for estimating surface height directly from a single polarisation image simply by solving a large, sparse system of linear equations. To do so, we show how to express polarisation constraints as equations that are linear in the unknown depth. The ambiguity in the surface normal azimuth angle is resolved globally when the optimal surface height is reconstructed. Our method is applicable to objects with uniform albedo exhibiting diffuse and specular reflectance. We extend it to an uncalibrated scenario by demonstrating that the illumination (point source or first/second order spherical harmonics) can be estimated from the polarisation image, up to a binary convex/concave ambiguity. We believe that our method is the first monocular, passive shape-from-x technique that enables well-posed depth estimation with only a single, uncalibrated illumination condition. We present results on glossy objects, including in uncontrolled, outdoor illumination.

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Unambiguous determination of shape from photometric stereo with unknown light sources

Abstract: Abstract

Cited by 43 publications

References 13 publications

Shape and Refractive Index from Single-View Spectro-Polarimetric Images

Shape and Refractive Index from Single-View Spectro-Polarimetric Images

Shape Estimation of Transparent Objects by Using Polarization Analyses

Linear Depth Estimation from an Uncalibrated, Monocular Polarisation Image

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