Secondary Laplace operator and generalized Giaquinta-Hildebrandt operator with applications on surface segmentation and smoothing
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- 作者：Tao Liaoa ; Xinge Lib ; Guoliang Xub ; Yongjie Jessica Zhanga ; jessicaz@andrew.cmu.edu" class="auth_mail" title="E-mail the corresponding author
- 关键词：Secondary Laplace operator ; Generalized Giaquinta&ndash ; Hildebrandt operator ; Eigenfunction ; Concave and convex feature ; Surface segmentation ; Geometric flow
- 刊名：Computer-Aided Design
- 出版年：2016
- 出版时间：January 2016
- 年：2016
- 卷：70
- 期：Complete
- 页码：56-66
- 全文大小：3019 K
文摘
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Two new geometric operators are introduced based on the second fundamental form.
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The new operators, SLO and GGHO, are sensitive to the curvature-related features.
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A segmentation method is introduced based on the SLO eigenfunctions.
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A geometric flow method is developed based on the GGHO for surface smoothing.