The modified Beckmann–Kirchhoff scattering theory for rough surface analysis

Ragheb, Hossein; Hancock, Edwin R.

doi:10.1016/j.patcog.2006.10.007

Cited by 54 publications

(27 citation statements)

References 27 publications

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“…In a recent paper we have used the Kirchhoff theory to develop reflectance models which can be used for rough surface analysis tasks in computer vision. The main thrust of this work has been to use the theory to develop ways of estimating surface roughness parameters [39]. The resulting models are considerably more complicated than the phenomenological ones used here.…”

Section: Discussionmentioning

confidence: 99%

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Surface radiance correction for shape from shading

Ragheb

Hancock

2005

Pattern Recognition

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It is well known that many surfaces exhibit reflectance that is not well modelled by Lambert's law. This is the case not only for surfaces that are rough or shiny, but also those that are matte and composed of materials that are particle suspensions. As a result, standard Lambertian shape-from-shading methods can not be applied directly to the analysis of rough and shiny surfaces. In order to overcome this difficulty, in this paper, we consider how to reconstruct the Lambertian component for rough and shiny surfaces when the object is illuminated in the viewing direction (retroreflection). To do this we make use of the diffuse reflectance models described by Oren and Nayar, and by Wolff. Our experiments with synthetic and real-world data reveal the effectiveness of the correction method, leading to improved surface normal and height recovery.

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Section: Discussionmentioning

confidence: 99%

“…In fact for surfaces with intermediate roughness they outperform the phenomenological models studied here. It is also worth noting that the wave scattering theory can also be used to perform radiance correction, and [39] also explores this as a relatively minor component part of its experimental evaluation.…”

Section: Discussionmentioning

confidence: 99%

Surface radiance correction for shape from shading

Ragheb

Hancock

2005

Pattern Recognition

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“…1, the beam scattered by a rough surface is composed by a specular part and a diffuse part. This type of combined specular and diffuse reflection can be described with the tangent plane approximation [9]. The direction of the specular part of the reflected beam, according to the law of regular reflection, depends on the macroscopic orientation of the surface.…”

Section: Angel-resolved Light Scatteringmentioning

confidence: 99%

Analysis of NM-Scale Scratches on High-Gloss Tribological Surfaces by Using an Angle-Resolved Light Scattering Method

2009

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This paper discusses a promising method to investigate defects on high-gloss finished metal surfaces. The main aim is to detect very shallow scratches on such tribological surfaces. The method must be simple in its applicability, insensitive to external disturbances, and sufficiently fast for application in monitoring industrial processes. To achieve this, the principle of light scattering is used by scanning a surface with a compact scattering light sensor using a red LED as a light source. The reflected light is scattered into a specular part and a diffuse part, and collected by a one-dimensional CCD-array. The detected intensity distribution of the scattered light depends on the topography of the reflecting surface. Significant variations in the intensity profile will permit to identify the surface defects. With this system we were able to detect scratches on high-gloss metal sheets with a typical width of 1 lm and a depth as small as 40 nm. The geometrical dimensions of these shallow scratches have been determined with a confocal white light microscope.

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“…To overcome this problem, Vernold and Harvey [51] have developed a model which accounts for self shadowing on rough surfaces. Ragheb and Hancock [40] have exploited this modification of the Beckman-Kirchoff theory to develop a means of measuring surface roughness parameters using reflectance. Another widely used physicsbased model that accounts for specular reflectance by modeling the angular distribution of surface microfacets is that in [49].…”

Section: Introductionmentioning

confidence: 99%

An optimisation approach to the recovery of reflection parameters from a single hyperspectral image

Rahman

Robles-Kelly

2013

Computer Vision and Image Understanding

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In this paper, we present a method to recover the parameters governing the reflection of light from a surface making use of a single hyperspectral image. To do this, we view the image radiance as a combination of specular and diffuse reflection components and present a cost functional which can be used for purposes of iterative least squares optimisation. This optimisation process is quite general in nature and can be applied to a number of reflectance models widely used in the computer vision and graphics communities. We elaborate on the use of these models in our optimisation process and provide a variant of the Beckmann-Kirchhoff model which incorporates the Fresnel reflection term. We show results on synthetic images and illustrate how the recovered photometric parameters can be employed for skin recognition in real world imagery, where our estimated albedo yields a classification rate of 95.09 ± 4.26% as compared to an alternative, whose classification rate is of 90.94 ± 6.12%. We also show quantitative results on the estimation of the index of refraction, where our method delivers an average per-pixel angular error of 0.15 degrees. This is a considerable improvement with respect to an alternative, which yields an error of 9.9 degrees.

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The modified Beckmann–Kirchhoff scattering theory for rough surface analysis

Cited by 54 publications

References 27 publications

Surface radiance correction for shape from shading

Surface radiance correction for shape from shading

Analysis of NM-Scale Scratches on High-Gloss Tribological Surfaces by Using an Angle-Resolved Light Scattering Method

An optimisation approach to the recovery of reflection parameters from a single hyperspectral image

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