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高斯过程隐式曲面

Gaussian Process Implicit Surfaces
课程网址: http://videolectures.net/gpip06_williams_gpis/  
主讲教师: Oliver Williams
开课单位: 微软公司
开课时间: 2007-02-25
课程语种: 英语
中文简介:
计算机视觉和计算机图形学中的许多应用需要曲线和曲面的定义。隐式曲面是一种流行的选择,因为它们是平滑的,可以被已知的几何形状适当地约束,并且不需要对拓扑变化进行特殊处理。在本文中,我们使用高斯过程并导出等效于薄板样条正则化器的协方差函数,其具有用于形状建模的期望特性。我们展示了2D曲线和3D曲面的方法。为此使用高斯过程的好处是函数的有意义的概率表示。
课程简介: Many applications in computer vision and computer graphics require the definition of curves and surfaces. Implicit surfaces are a popular choice for this because they are smooth, can be appropriately constrained by known geometry, and require no special treatment for topology changes. In this paper we use Gaussian processes for this and derive a covariance function equivalent to the thin plate spline regularizer which has desirable properties for shape modelling. We demonstrate our approach for both 2D curves and 3D surfaces. The benefit of using a Gaussian process for this is the meaningful probabilistic representation of the function.
关 键 词: 隐式曲面; 几何形状; 拓扑结构; 形状建模性能
课程来源: 视频讲座网
最后编审: 2020-06-08:吴雨秋(课程编辑志愿者)
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