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A New Shape from Shading Algorithm using Intensity Gradient of Image with Hybrid reflectance

Yang Lei;Han Jiu-qiang (School of Electronics and Information Engineering;Xi’an Jiaotong University;Xi’an 710049;China)

  Shape from shading (SFS) is about to reconstruct 3-D Shape from single gray image. This paper proposed a novel SFS method based on hybrid reflection model. The image intensity acquired by camera mainly depends on three factors: the light source, the reflectance of objective in scene and camera attribute. When other respects are determined, the intensity is decided by the shape and reflectance properties described by reflectance model. The direction of the intensity gradient of image are related with the direction in which the shape of the surface changes the most, so we use derivative of the reflectance map along with intensity gradients as the objective function in our SFS. When discrete characteristic of digital images is considered, finite difference approximates differential operation. Thus the reflectance map gradient equation described by a partial differential equation (PDE) turns into a finite difference equation. Using iterative numeric computing, a new SFS method is gained. Experiments show that the proposed SFS method is accurate and fast.……   
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