缺损图形表面修复技术的研究和应用

项目名称： 缺损图形表面修复技术的研究和应用

项目编号： No.61272364

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 黄静

作者单位： 北京师范大学

项目金额： 60万元

中文摘要： 本项目主要针对形状各异的缺损表面提出基于多结点样条的曲面修复新算法。物体表面造成缺损的原因很多，形成的缺陷形状也各种各样。本项目从缺损表面修复技术的要求出发，利用多结点样条插值相比其他插值算法的优越特性，首先研究三维几何领域中基于多结点样条的曲面造型技术与曲面重构算法中多重采样数据分析，在此基础上，根据形成缺损的原因不同，形状不同，着重研究曲面造型物体表面缺损的各种分类修复算法及其误差分析。研究成果可进一步拓展曲面造型理论、减少曲面重构时的数据冗余，曲面修复算法可应用于局部破损出土文物古籍的几何造型修补复原、破案现场不完全痕迹的修复、磨损与变形的机械零件和模具表面修复、找出原有表面的曲面何造型及其相应的误差估算，为进一步在工艺上修复文物、修复机械零件或模具提供理论依据。因此本项目既富有重要的科学研究意义，又具有充分的理论基础价值和广阔的应用前景。

中文关键词： 多结点样条；散乱数据拟合；曲面造型与重构；图像修复；缺损图形修复技术

英文摘要： A new surface restoration algorithm based on many-knot spline is presented subject to various defect surface in this project. There are many reasons led to surface-defecting , and also the defected surfaces are in various shape. According to the request for restoring the defected suface, by using the advantages of many-knot spline interpolation, at first, multi-sample data analysis is studied based on many-knot spline surface modeling and surface reconstruction algorithm , then according to the diffrence reasons, difference shapes, differenct surface restoration algorithm and error analysis are reasearched. The reasearch result can be extend to surface modeling theory, surface reconstruction data reducing, and also can be used in local damaged cultural relic geometry restoration works , the restoration of imcomplete trace in the scene of a crime , surface restoration of worn and distorted machine parts , dies and error estimation to the original surface before damaged. These reasearch can provide the theory basis for advanced restoration for those damaged cultural relic, mechanic parts or dies in industrial art hand. So this project is significiant , valuable on the restorati n theory and wide application.

英文关键词： Many Knot Spline；discrete data fitting；surface modeling & recontruction；Digital Image Inpaiting；Defected patterned surface restoration technology