Fast Shape from Shading for Phong-Type Surfaces
Fast Shape from Shading for Phong-Type Surfaces
复制标题
Phong 型表面的着色快速成形
DOI：
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发表时间：
2009
期刊：
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通讯作者：
J. Weickert
中科院分区：
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作者：
Oliver Vogel;M. Breuß;Thomas Leichtweis;J. Weickert
阴影形状（SfS）是图像分析中最古老的问题之一，它是由偏微分方程（PDEs）建模的。SfS的目标是从单个二维图像中计算出所描绘的三维场景的重建。为此，利用图像的亮度变化和光照条件的知识。虽然模型的质量已经达到成熟，但仍然需要有效的数值方法，以便在合理的时间内计算大型图像的复杂SfS过程。在本文中，我们解决了这个问题。我们考虑所谓的快速行进（FM）方案，这是最有效的数值方法之一。然而，FM方案对于现代非线性SfS模型来说并不是微不足道的。我们展示了如何在最近的一个包含Phong的非朗伯反射模型的SfS模型中实现这一点。数值实验表明，在不影响质量的情况下，我们的调频方案比标准方法快两个数量级。
Shape from Shading (SfS) is one of the oldest problems in image analysis that is modelled by partial differential equations (PDEs). The goal of SfS is to compute from a single 2-D image a reconstruction of the depicted 3-D scene. To this end, the brightness variation in the image and the knowledge of illumination conditions are used. While the quality of models has reached maturity, there is still the need for efficient numerical methods that enable to compute sophisticated SfS processes for large images in reasonable time. In this paper we address this problem. We consider a so-called Fast Marching (FM) scheme,which is one of the most efficient numerical approaches available. However, the FM scheme is not trivial to use for modern non-linear SfS models. We show how this is done for a recent SfS model incorporating the non-Lambertian reflectance model of Phong. Numerical experiments demonstrate that --- without compromising quality --- our FM scheme is two orders of magnitude faster than standard methods.