计算机科学 ›› 2017, Vol. 44 ›› Issue (3): 59-62.doi: 10.11896/j.issn.1002-137X.2017.03.015
袁斌
YUAN Bin
摘要: 大部分Level-Set演化模型基于平均曲率或梯度,这对去除3D数据的噪声时保持线状特征是不利的;在解Level-Set演化方程时一般采用迎风格式,精度较低。设计了基于曲率差的高阶演化方程以及基于B样条和中心差分的混合GPU解法器。实验结果表明,基于曲率差的演化方程能够在光顺数据时保持线状特征。
[1] OSHER S,SETHIAN J.Fronts propagating with curvature dependent speed:Algorithms based on hamilton-jacobi formulation[J].Journal of Computational Physics,1988,79(1):12-49. [2] MALLADI R,SETHIAN J A,VEMURI B C.Shape modeling with front propagation:A Level-Set approach[J].IEEE Tran-sactions on Pattern Analysis and Machine Intelligence,1995,7(2):158-175. [3] OSHER S,FEDKIW R.Level-Set methods:an overview andsome recent results[J].Journal of Computational Physics,2001,69(2):463-502 [4] ROSENFELD A.Edge and Curve Detection for Visual SceneAnaIysis[J].IEEE Transactions on Computers,1971,C-20(5):562-569 [5] WITKIN A P.Scale-space filtering:a new approach to multi-scale description[C]∥IEEE International Conference on Acoustics,Speech,and Signal Processing(ICASSP’84).Pisca-taway,NJ,USA:IEEE Press,1984:150-153. [6] PERONA P,MALIK J.Scale space and edge detection using ani-sotropic diffusion[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1990,12(7):629-639. [7] RUDIN L,OSHER S,FATEMI E.Nonlinear total variationbased noise removal algorithms[J].Physica D Nonlinear Phenomena,1992,60(1-4):259-268. [8] ALVAREZ L,LIONS P L,MOREL J M.Image selective smoothing and edge detection by nonlinear diffusion.II[J].SIAM Journal on Numerical Analysis,1992,29(3):845-866. [9] CASELLES V,KIMMEL R,SAPIRO G.geodesic active con-tours[J].International Journal of Computer Vision,1997,22(1):61-79. [10] NVIDIA.NVIDIA_CUDA_Programming_Guide.http://developer.nvidia.cm/object/cuda_3_2down-loads.html. [11] DE BOOR C.On Calculation with B-spline[J].Journal of Approximation Theory,1972,6:50-62. [12] COX M G.The numerical evaluation of B-Spline[J].IMA Journal of Applied Mathematics,1972,10(2):134-149. [13] 施法中.计算机辅助几何设计与非均匀有理B样条[M].北京:北京航空航天大学出版社,1994. [14] YIAN B.GPU Raycasting based on curvature[J].Journal of Graphics,2012,33(6):24-30(in Chinese) 袁斌.基于曲率的GPU光线投射[J].图学学报,2012,33(6):24-30. |
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