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S. Sinha, B.G. Schunck, "A TwoStage Algorithm for DiscontinuityPreserving Surface Reconstruction," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 14, no. 1, pp. 3655, January, 1992.  
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@article{ 10.1109/34.107012, author = {S. Sinha and B.G. Schunck}, title = {A TwoStage Algorithm for DiscontinuityPreserving Surface Reconstruction}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {14}, number = {1}, issn = {01628828}, year = {1992}, pages = {3655}, doi = {http://doi.ieeecomputersociety.org/10.1109/34.107012}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
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TY  JOUR JO  IEEE Transactions on Pattern Analysis and Machine Intelligence TI  A TwoStage Algorithm for DiscontinuityPreserving Surface Reconstruction IS  1 SN  01628828 SP36 EP55 EPD  3655 A1  S. Sinha, A1  B.G. Schunck, PY  1992 KW  least squares approximations; picture processing; twostage algorithm; discontinuitypreserving surface reconstruction; discontinuities; moving least median of squares; weighted bicubic spline; robust surface fitting; least squares approximations; picture processing; splines (mathematics) VL  14 JA  IEEE Transactions on Pattern Analysis and Machine Intelligence ER   
A twostage algorithm for visual surface reconstruction from scattered data while preserving discontinuities is presented. The first stage consists of a robust local approximation algorithm (the moving least median of squares (MLMS) of error) to clean the data and create a grid from the original scattered data points. This process is discontinuity preserving. The second stage introduces a weighted bicubic spline (WBS) as a surface descriptor. The WBS has a factor in the regularizing term that adapts the behavior of the spline across discontinuities. The weighted bicubic approximating spline can approximate data with step discontinuities with no discernible distortion in the approximating surface. The combination of robust surface fitting and WBSs removes outliers and reduces Gaussian noise. Either stage by itself would not effectively remove both kinds of noise. Experimental results with the twostage algorithm are presented.
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