针对三角网格数据提出了一种主曲率均匀的光顺方法. 该算法首先通过建立局部抛物二次曲面来估算网 格顶点的主曲率和主方向,其次以邻点的主曲率和主方向的加权平均作为光顺后顶点的曲率值,然后由新曲率值 和二次曲面方程计算出调整后的顶点位置,实现模型的光顺.

对国际上近几年提出的三角网格曲面上估算平均曲率的7 种方法和估算高斯曲率的4 种方法,进行了系统 的总结与大量的实验,并给出误差统计和分析比较,给出了对高斯曲率和平均曲率的估算效果最优的方法,以及较 稳定和误差较小的几个新公式1

龚元浩曲率滤波代码，python和matlab语言。This code was developed by Yuanhao Gong during his PhD at MOSAIC Group. Please cite Yuanhao's PhD thesis if you use this code in your work. Thank you! ============================================================= @phdthesis{gong:phd, title={Spectrally regularized surfaces}, author={Gong, Yuanhao}, year={2015}, school={ETH Zurich, Nr. 22616}, note={http://dx.doi.org/10.3929/ethz-a-010438292}} ============================================================= FAQ: 1) Why dual mesh (DM) structure is needed? There are two reasons. First, these four sets guarantee the convergence. Second, we can use the updated neighbors for current position. Therefore, it is more computational efficient. 2) What is the difference between these three filters? In general, GC filter is better in preserving details, compared with the other two. And TV filter is better in removing noise as well as details. MC filter is between these two. These three filters are correspond to three types of variational models. User should decide which prior is to be assumed about the ground truth. 3) What is the difference between split and nosplit scheme? In general, splitting the image into four sets and looping on them is computational faster. However, in some cases like deconvolution, we need to merge the four sets after every iteration. So, it is better do nosplit scheme. These two lead to exactly the same result. The split code is just more cache friendly.

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matlab算法计算三维散乱点云的曲率，包括主曲率，高斯曲率和平均曲率 matlab算法计算三维散乱点云的曲率，包括主曲率，高斯曲率和平均曲率

简单实用曲率计算工具

用于飞思卡尔智能车比赛摄像头组的曲率计算，

推导了一般三角形网格模型顶点的平均曲率、高斯曲率和主曲率的计算方法，考虑到经常遇到粗糙三角形网格模型，为提高其曲率计算方法的精度，结合Loop细分曲面算法，进一步拓展了该曲率计算方法。该算法用于具有特征保持的网格模型简化取得了良好的效果。

基于曲率前馈的智能车辆路径跟踪算法

使用自适应阈值和支持动态区域的曲率尺度空间角点检测