形状约束的样本填充式三维模型修复

耿国华; 余凡; 杨稳; 刘晓宁

doi:10.3788/OPE.20182611.2863

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形状约束的样本填充式三维模型修复

信息科学 | 更新时间：2020-07-05

- 形状约束的样本填充式三维模型修复
- Three-dimensional model restoration with shape-constrained sample filling
- 光学精密工程 2018年26卷第11期页码：2863-2872
- 作者机构：
  
  西北大学信息科学与技术学院, 陕西西安 710127
- 作者简介：
  
  [ "余凡(1993-), 女, 陕西安康人, 硕士, 主要从事计算机图形学、可视化技术方面处理的研究。E-mail:angelayufan@sina.com" ]
  [ "耿国华(1955-), 女, 博士, 教授, 博士研究生导师, CCF会员, 主要从事智能信息处理、数据库与知识库、图形图像处理的研究。E-mail:ghgeng@nwu.edu.cn" ]
- 基金信息：
  
  国家自然科学基金资助项目(61731015);国家自然科学基金资助项目(61602380)
- DOI：10.3788/OPE.20182611.2863
  中图分类号： TB853.29
- 收稿日期：2018-01-16，
  
  录用日期：2018-3-2，
  
  纸质出版日期：2018-11-25
- 稿件说明：
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耿国华, 余凡, 杨稳, 等. 形状约束的样本填充式三维模型修复[J]. 光学精密工程, 2018,26(11):2863-2872.

Guo-hua GENG, Fan YU, Wen YANG, et al. Three-dimensional model restoration with shape-constrained sample filling[J]. Optics and precision engineering, 2018, 26(11): 2863-2872.
耿国华, 余凡, 杨稳, 等. 形状约束的样本填充式三维模型修复[J]. 光学精密工程, 2018,26(11):2863-2872. DOI： 10.3788/OPE.20182611.2863.

Guo-hua GENG, Fan YU, Wen YANG, et al. Three-dimensional model restoration with shape-constrained sample filling[J]. Optics and precision engineering, 2018, 26(11): 2863-2872. DOI： 10.3788/OPE.20182611.2863.

摘要

为解决不完整三维模型修复过程中孔洞形状不规则、现有方法曲面配准精度不高的问题，提出一种能够有效保持孔洞边界过渡自然并恢复模型表面细节特征的模型修复方法。首先，追踪所有1-邻域边和1-邻域三角形数量不相等的点来探测模型的孔洞边界。设计一种基于二维网格数量的算法确定不完整模型的匹配候选集，同时根据双稀疏表示的三角网格顶点位置误差、边平滑误差和正交约束来预测最优匹配模型；然后，结合边界顶点的曲率、边界轮廓线折角的余弦值及相邻边界点的线段长度构造能有效表达不完整模型与碎块模型之间对齐关系的特征点描述子；最后，使用二阶伞算子来平滑模型的修补边界。实验结果表明，模型修复时间节省19%~26%，模型修复误差平均下降35%。该方法打破了当前模型修复方法中修复裂缝大且难以实现模型表面细节的局限性，可快速有效地实现破损模型的修复。

Abstract

To solve the problems of irregular hole shape and low accuracy of surface registration in an incomplete 3D model-repair process

a model-repair method was proposed to effectively maintain the natural hole boundary and restore the model surface details. First

we traced all points with unequal numbers of one-neighborhood edges and one-neighborhood triangles to detect the hole boundaries of the model. A method based on 2D mesh numbers was proposed to determine the matching candidate set for the incomplete model

and the optimal matching model was predicted based on the vertex-position error

edge-transition error

and orthogonal constraint

which were represented by double sparstiy. Then

the curvature was combined

cosine value of the boundary contour angle

and length of the line segments of the adjacent boundary points centered on the same boundary vertex to construct the feature descriptors that can effectively express the alignment relationship between the incomplete and fragmented models. Finally

the second-order umbrella operator was used to make the repair boundary of the model smooth. The experimental results demonstrate that the repair time is reduced by 19%-26% and the repair error is reduced by 35%

on average. This method avoids the limitations of large cracks and poorly realized surface details of the current model-restoration methods and can quickly and effectively repair the damaged model.

关键词

Keywords

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