从梯度正则化最小二乘曲面重建领域:grad2Surf 1.0版

这个工具箱是一个表面的重建其测量梯度场。假定噪声是梯度场,从而包提供了算法,计算最小二乘解问题,以及各种形式的正规化,包括:

1)光谱正规化
2)Tikhonov正则化
3)约束正则化(狄利克雷边界值)
4)加权最小二乘

这些类型的正规化和如何使用的例子工具箱给出相应的文档文件:g2sIntro.pdf

这个工具箱需要离散正交多项式工具箱(DOPbox):
//www.tatmou.com/matlabcentral/fileexchange/41250

论文中描述这个工具箱背后的理论是:
[1]哈克,M。奥利里,P。,Regularized Reconstruction of a Surface from its Measured Gradient Field, (preprint available at arxiv.org)
[2]哈克,M。奥利里,P。,Direct regularized surface reconstruction from gradients for Industrial Photometric Stereo, Computers in Industry, In Press, 2013.
http://dx.doi.org/10.1016/j.compind.2013.03.013

参见:
[3]哈克,M。奥利里,P。,Least squares surface reconstruction from measured gradient fields, IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2008, pp. 1-7.
http://dx.doi.org/10.1109/CVPR.2008.4587414
[4]哈克,M。奥利里,P。,Least squares surface reconstruction from gradients: Direct algebraic methods with spectral, Tikhonov, and constrained regularization, IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2011, pp. 2529-2536.
http://dx.doi.org/10.1109/CVPR.2011.5995427