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色度成形法(Shape from Shading)
早期由B.K.P. Horn等学者提出,使用影像像素的亮度值代入预先设计之色度模型中求解,方程式之解即深度资讯。由于方程组中的未知数多过限制条件,因此须借由更多假设条件缩小解集之范围。例如加入表面可微分性质(differentiability)、曲率限制(curvature constraint)、光滑程度(smoothness)以及更多限制来求得精确的解。此法之后由Woodham衍生出立体光学法。
Shape-from-Shading (SfS) is a fundamental problem in Computer Vision; it is based upon the image irradiance equation. Recently, the authors proposed to solve the image irradiance equation under the assumption of perspective projection rather than the common orthographic one. The solution was a modification of the Fast Marching method of Kimmel and Sethian. This paper presents an application of this novel perspective algorithm to reconstruction of medical images. We focus on gastrointestinal endoscopy and compare the two versions of the Fast Marching method (orthographic vs. perspective). The examples and comparison show that, unlike orthographic SfS, perspective SfS is robust and can be utilized for real-life applications.
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