Shape from shading with interreflections under proximal light source-3D shape reconstruction of unfolded book surface from a scanner image

Wada, Takahiro; Ukida, Hiroyuki; Matsuyama, Takashi

doi:10.1109/iccv.1995.466805

Cited by 51 publications

(47 citation statements)

References 4 publications

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“…Ben-Ezra and Nayar [11] estimated the shape of a transparent object observed from many viewpoints by an iterative computation. Shape-from-silhouette(visual hull), which measures the object's shape from multiple views, has the defect that it cannot estimate a concave object; however, Nayar et al [27], Wada et al [28], and Yang et al [29] estimated the concave shape of opaque object by iterative computation. To improve the precision of measuring the surface shape of transparent objects, we should probably observe the target object from multiple viewpoints or under various types of illumination.…”

Section: Resultsmentioning

confidence: 99%

Polarization-based shape estimation of transparent objects by using raytracing and PLZT camera

Miyazaki

Takashima²,

Yoshida³

et al. 2005

SPIE Proceedings

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Section: Resultsmentioning

confidence: 99%

Polarization-based shape estimation of transparent objects by using raytracing and PLZT camera

Miyazaki

Takashima²,

Yoshida³

et al. 2005

SPIE Proceedings

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“…In [19], Tian, Tsui and Yeung have proposed a numerical SFS algorithm for dealing with some non-punctual and multiple light sources (any combination of spherical, rectangular and cylindrical light sources). Following a more elaborate and physically motivated model of illumination, [14,20,10,21] introduced methods to deal with interreflection. However, in none of these works [19,11,18,10,14,20,10] are the mathematical properties of the SFAS problem elucidated analytically.…”

Section: Relation To Prior Workmentioning

confidence: 99%

“…Following a more elaborate and physically motivated model of illumination, [14,20,10,21] introduced methods to deal with interreflection. However, in none of these works [19,11,18,10,14,20,10] are the mathematical properties of the SFAS problem elucidated analytically. In particular, there are no results on the existence and uniqueness of solution for the ensuing global PDE.…”

Section: Relation To Prior Workmentioning

confidence: 99%

A Non-local Approach to Shape from Ambient Shading

Prados

Jindal

Soatto

2009

Lecture Notes in Computer Science

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Abstract. We study the mathematical and numerical aspects of the estimation of the 3-D shape of a Lambertian scene seen under diffuse illumination. This problem is known as "shape from ambient shading" (SFAS), and its solution consists of integrating a strongly non-local and non-linear Integro-Partial Differential Equation (I-PDE). We provide a first analysis of this global I-PDE, whereas previous work had focused on a local version that ignored effects such as occlusion of the light field. We also design an original approximation scheme which, following Barles and Souganidis' theory, ensures the correctness of the numerical approximations, and discuss about some numerical issues.

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“…This algorithm builds upon a shapefrom-intensity method and estimates shape and interreflection in an alternating fashion for Lambertian surfaces. Wada et al [32] tackled the problem of recovering the shape of an unfolded book using the image obtained by a typical flatbed image scanner. Their method is also based on a formulation from shape-from-shading with interreflections and from moving a proximate light source.…”

Section: Modeling Optically-challenging Objectsmentioning

confidence: 99%

An Adaptive Correspondence Algorithm for Modeling Scenes with Strong Interreflections

Aliaga

2009

IEEE Trans. Visual. Comput. Graphics

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Abstract-Modeling real-world scenes, beyond diffuse objects, plays an important role in computer graphics, virtual reality, and other commercial applications. One active approach is projecting binary patterns in order to obtain correspondence and reconstruct a densely sampled 3D model. In such structured-light systems, determining whether a pixel is directly illuminated by the projector is essential to decoding the patterns. When a scene has abundant indirect light, this process is especially difficult. In this paper, we present a robust pixel classification algorithm for this purpose. Our method correctly establishes the lower and upper bounds of the possible intensity values of an illuminated pixel and of a non-illuminated pixel. Based on the two intervals, our method classifies a pixel by determining whether its intensity is within one interval but not in the other. Our method performs better than standard method due to the fact that it avoids gross errors during decoding process caused by strong interreflections. For the remaining uncertain pixels, we apply an iterative algorithm to reduce the inter-reflection within the scene. Thus, more points can be decoded and reconstructed after each iteration. Moreover, the iterative algorithm is carried out in an adaptive fashion for fast convergence.

show abstract

Shape from shading with interreflections under proximal light source-3D shape reconstruction of unfolded book surface from a scanner image

Cited by 51 publications

References 4 publications

Polarization-based shape estimation of transparent objects by using raytracing and PLZT camera

Polarization-based shape estimation of transparent objects by using raytracing and PLZT camera

A Non-local Approach to Shape from Ambient Shading

An Adaptive Correspondence Algorithm for Modeling Scenes with Strong Interreflections

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