Perspective Shape from Shading with Non-Lambertian Reflectance

Vogel, Oliver; Breuß, Michael; Weickert, Joachim

doi:10.1007/978-3-540-69321-5_52

Cited by 30 publications

(33 citation statements)

References 11 publications

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“…The SfS model we deal with in this paper is given in [8]. We briefly review here the developments in that work.…”

Section: The Perspective Sfs Model With Phong-type Reflectancementioning

confidence: 99%

“…Plugging in appropriate expressions, the brightness equation (1) yields a nonlinear Hamilton-Jacobi equation. For details of the derivation see [8]. One (usual) important model assumption not mentioned up to now is the visibility of the surface.…”

Section: The Perspective Sfs Model With Phong-type Reflectancementioning

confidence: 99%

“…In order to ensure the stability of our algorithm as well as the validity of reasonable theoretical properties, we thus employ an upwind method as in [5,4,8]. Spatial Discretisation.…”

Section: Discretisation and Fast Marching Implementationmentioning

confidence: 99%

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Fast Shape from Shading for Phong-Type Surfaces

Vogel

Breuß

Leichtweis

et al. 2009

Lecture Notes in Computer Science

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Abstract. Shape from Shading (SfS) is one of the oldest problems in image analysis that is modelled by partial differential equations (PDEs). The goal of SfS is to compute from a single 2-D image a reconstruction of the depicted 3-D scene. To this end, the brightness variation in the image and the knowledge of illumination conditions are used. While the quality of models has reached maturity, there is still the need for efficient numerical methods that enable to compute sophisticated SfS processes for large images in reasonable time. In this paper we address this problem. We consider a so-called Fast Marching (FM) scheme,which is one of the most efficient numerical approaches available. However, the FM scheme is not trivial to use for modern non-linear SfS models. We show how this is done for a recent SfS model incorporating the non-Lambertian reflectance model of Phong. Numerical experiments demonstrate thatwithout compromising quality -our FM scheme is two orders of magnitude faster than standard methods.

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“…The SfS model we deal with in this paper is given in [8]. We briefly review here the developments in that work.…”

Section: The Perspective Sfs Model With Phong-type Reflectancementioning

confidence: 99%

Section: The Perspective Sfs Model With Phong-type Reflectancementioning

confidence: 99%

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Fast Shape from Shading for Phong-Type Surfaces

Vogel

Breuß

Leichtweis

et al. 2009

Lecture Notes in Computer Science

Self Cite

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“…However, recently, more realistic concepts such as perspective cameras [14,15,21] and nonLambertian reflectance models [3,19] found their way into research and led to considerable progress in the field. In particular, considering more realistic camera models and more realistic reflectance models combined with a physically motivated light attenuation term [15] turned out to be useful from both a theoretical and practical viewpoint [2,25].…”

Section: Introductionmentioning

confidence: 99%

“…[6]), no such thorough analysis has been performed for the advanced Oren-Nayar model so far. Moreover, to the best of our knowledge, there is only one work in the entire literature that presents such an in-depth study for a modern non-Lambertian SfS model: In [5], Breuß and Ju investigate important issues such as critical points and convexity in the context of SfS with the Phong model [25].…”

Section: Introductionmentioning

confidence: 99%

Shape from Shading for Rough Surfaces: Analysis of the Oren-Nayar Model

Breuß

Bruhn

et al. 2012

Procedings of the British Machine Vision Conference 2012

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Due to their improved capability to handle realistic illumination scenarios, nonLambertian reflectance models are becoming increasingly more popular in the Shape from Shading (SfS) community. One of these advanced models is the Oren-Nayar model which is particularly suited to handle rough surfaces. However, not only the proper selection of the model is important, also the validation of stable and efficient algorithms plays a fundamental role when it comes to the practical applicability. While there are many works dealing with such algorithms in the case of Lambertian SfS, no such analysis has been performed so far for the Oren-Nayar model. In our paper we address this problem and present an in-depth study for such an advanced SfS model. To this end, we investigate under which conditions, i.e. model parameters, the Fast Marching (FM) method can be applied -a method that is known to be one of the most efficient algorithms for solving the underlying partial differential equations of Hamilton-Jacobi type. In this context, we do not only perform a general investigation of the model using Osher's criterion for verifying the suitability of the FM method. We also conduct a parameter dependent analysis that shows, that FM can safely be used for the model for a wide range of settings relevant for practical applications. Thus, for the first time, it becomes possible to theoretically justify the use of the FM method as solver for the Oren-Nayar model which has been applied so far on a purely empirical basis only. Numerical experiments demonstrate the validity of our theoretical analysis. They show a stable behaviour of the FM method for the predicted range of model parameters.

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Intensity-Based and Polarisation-Based Approaches to Three-Dimensional Scene Reconstruction

Wöhler

2013

X.media.publishing

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Perspective Shape from Shading with Non-Lambertian Reflectance

Cited by 30 publications

References 11 publications

Fast Shape from Shading for Phong-Type Surfaces

Fast Shape from Shading for Phong-Type Surfaces

Shape from Shading for Rough Surfaces: Analysis of the Oren-Nayar Model

Intensity-Based and Polarisation-Based Approaches to Three-Dimensional Scene Reconstruction

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