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A New Image Irradiance Equation for Perspective Shape from Shading of Hybrid Surfaces

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Abstract:

Shape from shading (SFS) is a classical and important problem in the domain of computer vision. This paper presents a new image irradiance equation for perspective SFS method to reconstruct the hybrid surfaces that have both diffuse reflection and specular reflection. The hybrid reflectance model composed of a linear combination of Oren-Nayar model and Ward model is used to express the hybrid surfaces. An imaging model incorporating near point light source, perspective camera projection and the hybrid reflectance model is established. Under this model, the image irradiance equation has been derived as a non-linear partial differential equation (PDE). The resulting PDE is associated with a static Hamilton-Jacobi (H-J) equation considering the boundary conditions. Thus, the image irradiance equation of hybrid surfaces can be solved further.

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Periodical:

Applied Mechanics and Materials (Volumes 519-520)

Pages:

676-679

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.519-520.676

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Online since:

February 2014

Authors:

Guo Hui Wang, Jin Cheng, Quan Rui Wei

Keywords:

Hamilton-Jacobi Equation, Hybrid Surfaces, Perspective Projection, Shape from Shading

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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