2013 IEEE Conference on Computer Vision and Pattern Recognition 2013
DOI: 10.1109/cvpr.2013.194
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A New Perspective on Uncalibrated Photometric Stereo

Abstract: We investigate the problem of reconstructing normals, albedo and lights of Lambertian surfaces in uncalibrated photometric stereo under the perspective projection model. Our analysis is based on establishing the integrability constraint. In the orthographic projection case, it is well-known that when such constraint is imposed, a solution can be identified only up to 3 parameters, the so-called generalized bas-relief (GBR) ambiguity. We show that in the perspective projection case the solution is unique. We al… Show more

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Cited by 71 publications
(48 citation statements)
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“…To our knowledge, this very general radiance model has not been used in the context of photometric stereo so far. In most applications, a single point light source at infinity is assumed, so that each lighting is represented by a constant vector in R 3 [17,7,1,14,15]. Closer to this general expression is the important work of Basri et al in [2], where a distribution of point light sources at infinity is assumed, allowing the authors to develop shape recovery algorithms based on low order spherical harmonic decompositions.…”
Section: Image Formation Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…To our knowledge, this very general radiance model has not been used in the context of photometric stereo so far. In most applications, a single point light source at infinity is assumed, so that each lighting is represented by a constant vector in R 3 [17,7,1,14,15]. Closer to this general expression is the important work of Basri et al in [2], where a distribution of point light sources at infinity is assumed, allowing the authors to develop shape recovery algorithms based on low order spherical harmonic decompositions.…”
Section: Image Formation Modelmentioning
confidence: 99%
“…Extending photometric stereo to more general models has become an important research direction, along with the natural need for fast and robust solutions. For example, perspective projection can replace the orthographic projection in both calibrated [11] and uncalibrated [14] cases, the Lambertian assumption can be relaxed so as to take specular highlights into account [7] and robustness to outliers like shadows can be obtained through numerous techniques such as sparse regression [10]. However, extending photometric stereo to non-directional lightings remains an open and challenging problem.…”
Section: Introductionmentioning
confidence: 99%
“…The first method computes the normal field and then modifies the gradient field based on the perspective projection, as also proposed in Refs. [44,45]. As it manipulates normal vectors, we refer to this technique as the perspective projection based on normal field (PPN) method.…”
Section: Perspective Projectionmentioning
confidence: 99%
“…Several additional assumptions (on the geometry, the albedo and/or the lights) need to be imposed to the problem to fix the GBR ambiguity. This can be done by exploiting diffuse maxima [20], specular maxima [13], interreflections [9], entropy minimization [4,23], chromaticity clustering [26] or perspective projection [21].…”
Section: Prior Workmentioning
confidence: 99%