特征线是基本形状描述符并且广泛地被用于计算机图形,电脑辅助的设计,处理的图象,并且 non-photorealistic 显示。这份报纸为在多角形的网孔上检测通用特征线介绍一个统一变化框架。经典 Mumford-Shah 模型被扩大到表面。用集中方法和分离微分几何学,我们 discretize 建议变化模型到顺序的联合稀少的线性系统。通过适合的二次的多项式,我们为提取在表面上定义的功能的山谷开发一个方法。我们的途径在检测过程上提供灵活、直觉的控制,并且是容易的实现。几措施功能为特征线的不同类型被设计,并且我们把我们的途径用于各种各样的多角形的网孔从对测量模型合成。实验两个都表明我们的算法的有效性和结果的视觉质量。
Feature lines are fundamental shape descriptors and have been extensively applied to computer graphics, computer-aided design, image processing, and non-photorealistic renderingi This paper introduces a unified variational framework for detecting generic feature lines on polygonal meshes. The classic Mumford-Shah model is extended to surfaces. Using F-convergence method and discrete differential geometry, we discretize the proposed variational model to sequential coupled sparse linear systems. Through quadratic polyno- mials fitting, we develop a method for extracting valleys of functions defined on surfaces. Our approach provides flexible and intuitive control over the detecting procedure, and is easy to implement. Several measure functions are devised for different types of feature lines, and we apply our approach to various polygonal meshes ranging from synthetic to measured models. The experiments demonstrate both the effectiveness of our algorithms and the visual quality of results.