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A VARIATIONAL APPROACH FOR DETECTING FEATURE LINES ON MESHES
  • ISSN号:0254-9409
  • 期刊名称:《计算数学:英文版》
  • 时间:0
  • 分类:TP391.41[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术] O175.25[理学—数学;理学—基础数学]
  • 作者机构:[1]School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China, [2]Department of Mathematics, University of Bergen, P.O. Box 7800, N-5020, Bergen, Norway
  • 相关基金:We would like to thank Szymon Rusinkiewicz and Doug DeCarlo et al. for making suggestive contours RTSC-1.5 [75] available; Shin Yoshizawa for making crest lines Crest [76] available. The models used in this paper are courtesy of the AIMQSHAPE shape repository, Cyberware and FastSCAN. We are very grateful to the anonymous reviewers for their detailed constructive comments. This work was supported by NRF-2007 IDM-IDM002- 010 under Nangyang Technological university, Singapore. The work of W.H. Tong was partially supported by the NSF of China (Nos. 10901149, 11171322 and 11571338) and by the Fundamental Research Funds for the Central Universities.
中文摘要:

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。

英文摘要:

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.

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期刊信息
  • 《计算数学:英文版》
  • 主管单位:
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编:
  • 地址:北京2719信箱
  • 邮编:100080
  • 邮箱:
  • 电话:
  • 国际标准刊号:ISSN:0254-9409
  • 国内统一刊号:ISSN:11-2126/O1
  • 邮发代号:
  • 获奖情况:
  • 中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论(网络版),德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引(扩展库),英国科学文摘数据库,日本日本科学技术振兴机构数据库
  • 被引量:193