Generalised Perspective Shape from Shading in Spherical Coordinates

Galliani, Silvano; Ju, Yong Chul; Breuß, Michael; Bruhn, Andrés

doi:10.1007/978-3-642-38267-3_19

Cited by 8 publications

(12 citation statements)

References 22 publications

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“…While most approaches in the SfS literature are still based on the assumption that the light source is located at the optical centre of the camera, we follow Galliani et al [7] and consider a general setup in which the light source is allowed to be located anywhere in the scene. The corresponding geometry is depicted in Fig.…”

Section: Perspective Sfs Based On Spherical Coordinatesmentioning

confidence: 99%

“…For each case we have listed the corresponding implications, the resulting brightness equation as well as the HJE that we finally have to solve. While Case 4 resembles the single Lambertian PDE in [7], the HJEs for the other cases are significantly more complex. This makes explicit that our general SfS approach with Oren-Nayar reflectance model is substantially more challenging than previous approaches based on the Lambertian assumption.…”

Section: Perspective Oren-nayar Sfs In Spherical Coordinatesmentioning

confidence: 99%

“…While Wu et al [26] presented a multi-image optimisation framework, Galliani et al [7] proposed a PDE-based approach for a single input image that leads to an efficient FM implementation. However, no advanced non-Lambertian reflectance models have been employed in the context of general illumination settings so far.…”

Section: Introductionmentioning

confidence: 99%

“…(i) As in the work of Galliani et al [7] we consider the use of a spherical coordinate system centred at the point light source. (ii) Instead of employing a simple Lambertian reflectance model, we formulate a new brightness equation based on the advanced reflectance model of Oren and Nayar.…”

Section: Introductionmentioning

confidence: 99%

“…[5,11,18,20]. Apart from creating a very general and flexible approach, setting up our model in this way offers a third advantage: (iii) since for (advanced) diffuse reflectance models the brightest points correspond approximately to local minima of the depth [19], it allows us to extend the efficient FM algorithm proposed in [7] to our model -although our HJEs are significantly more complex. Experiments with medical real-world input images from endoscopy allow us to verify the useful properties of our approach, see e.g.…”

Section: Introductionmentioning

confidence: 99%

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Generalised Perspective Shape from Shading with Oren-Nayar Reflectance

Ju¹,

Tozza²,

Breuß³

et al. 2013

Procedings of the British Machine Vision Conference 2013

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In spite of significant advances in Shape from Shading (SfS) over the last years, it is still a challenging task to design SfS approaches that are flexible enough to handle a wide range of input scenes. In this paper, we address this lack of flexibility by proposing a novel model that extends the range of possible applications. To this end, we consider the class of modern perspective SfS models formulated via partial differential equations (PDEs). By combining a recent spherical surface parametrisation with the advanced non-Lambertian Oren-Nayar reflectance model, we obtain a robust approach that allows to deal with an arbitrary position of the light source while being able to handle rough surfaces and thus more realistic objects at the same time. To our knowledge, the resulting model is currently the most advanced and most flexible approach in the literature on PDE-based perspective SfS. Apart from deriving our model, we also show how the corresponding set of sophisticated Hamilton-Jacobi equations can be efficiently solved by a specifically tailored fast marching scheme. Experiments with medical real-world data demonstrate that our model works in practice and that is offers the desired flexibility.

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Section: Perspective Sfs Based On Spherical Coordinatesmentioning

confidence: 99%

Section: Perspective Oren-nayar Sfs In Spherical Coordinatesmentioning

confidence: 99%