The shape from shading procedure is not the only way to interpret the grey-scale image of a surface independently on illumination conditions. An alternative approach is reported that considers a new surface as an unknown combination of fragments of known shapes, those shapes offering certain invaria
The variational approach to shape from shading
โ Scribed by Berthold K.P. Horn; Michael J. Brooks
- Publisher
- Elsevier Science
- Year
- 1985
- Weight
- 97 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0734-189X
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โฆ Synopsis
This paper describes an algorithm for approximating the single scattering model for light diffusion through clouds or haze of constant optical density. The clouds are contained between two single valued surfaces. The algorithm assumes that the sun is directly overhead, but gives convincing pictures for other sun directions. Its efficiency comes from approximating the exponential decay of transmitted light by a quadratic polynomial, and from vectorization on the Cray 1.
The Variational Approach fo Shapejrom Shading. BERTHOLD K. P. HORN AND MICHAEL J. BROOKS.
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The regularization term used in the cost function of the shape from shading (SFS) problem is necessary to make the problem well-posed . However, it has the disadvantage of producing excessive smoothing of the surface even at places where the gradient of the surface slope is very high . 7n overcome t