NDLI: A New Oren–Nayar Shape-from-Shading Approach for 3D Reconstruction Using High-Order Godunov-Based Scheme

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A New Oren–Nayar Shape-from-Shading Approach for 3D Reconstruction Using High-Order Godunov-Based Scheme

Content Provider	MDPI
Author	Wang, Guohui Chu, Yuanbo
Copyright Year	2018
Description	3D shape reconstruction from images has been an important topic in the field of robot vision. Shape-From-Shading (SFS) is a classical method for determining the shape of a 3D surface from a one intensity image. The Lambertian reflectance is a fundamental assumption in conventional SFS approaches. Unfortunately, when applied to characterize the reflection attribute of the diffuse reflection, the Lambertian model is tested to be inexact. In this paper, we present a new SFS approach for 3D reconstruction of diffuse surfaces whose reflection attribute is approximated by the Oren–Nayar reflection model. The partial differential Image Irradiance Equation (IIR) is set up with this model under a single distant point light source and an orthographic camera projection whose direction coincides with the light source. Then, the IIR is converted into an eikonal equation by solving a quadratic equation that includes the 3D surface shape. The viscosity solution of the resulting eikonal equation is approximated by using the high-order Godunov-based scheme that is accelerated by means of an alternating sweeping strategy. We conduct the experiments on synthetic and real-world images, and the experimental results illustrate the effectiveness of the presented approach.
Starting Page	75
e-ISSN	19994893
DOI	10.3390/a11050075
Journal	Algorithms
Issue Number	5
Volume Number	11
Language	English
Publisher	MDPI
Publisher Date	2018-05-18
Access Restriction	Open
Subject Keyword	Algorithms Artificial Intelligence 3d Reconstruction Shape-from-shading Oren–nayar Reflection Model Eikonal Equation Godunov-based Scheme Alternating Sweeping Strategy
Content Type	Text
Resource Type	Article

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