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《Journal of Computer-Aided Design & Computer Graphics》 2011-02
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Closed Surface Reconstruction Based on Implicit T-Splines

Tang Yuehong,Li Xiujuan,Cheng Zeming,and Qian Mingfeng(Department Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016)  
To simplify the normal deviation constraint and optimize the smooth energy parameter of objective function,an implicit T-splines surface reconstruction algorithm is proposed.First,three dimensional T-meshes are constructed from the sample point set by using the octrees and subdivision process.And the corresponding blending function of each control coefficient is determined from the topology of three dimensional T-meshes.Then the objective function is established based on the implicit T-spline surfaces.The normal direction of the surface is controlled by adding off-surface points.The generalized cross validation(GCV) method is adopted to estimate the optimal smoothing parameter.By using least square approximation the surface reconstruction problem is transformed into solving a system of quations to get control coefficients.With the local refinement of T-splines,the approximation error can achieve the prescribed error tolerance,thus a triangular mesh model is automaticlly converted into a smooth T-spline surface.When compared with the existing algorithm,the algorithm can solve the surface reconstruction problem well,for the C1 continuous condition is relaxed and the optimal smoothing parameter is chosen.Some examples show that it has the high accuracy approximation,fast operation speed,realistic simulation results as well.
【Fund】: 国家自然科学基金(10772082);; 南京航空航天大学创新基金(Y0706-82)
【CateGory Index】: TP391.7
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Tong Weihua Feng Yuyu Chen Falai (Department of Mathematics, University of Science and Technology of China, Hefei 230026) [KH-*2];A Surface Reconstruction Algorithm Based on Implicit T-Spline Surfaces[J];Journal of Computer-Aided Design & Computer Graphics;2006-03
【Co-citations】
Chinese Journal Full-text Database 2 Hits
1 LI Chao-jun1,ZOU Bei-ji1,2,WANG Lei1,2,PENG Xiao-ning1,2(1.School of Information Science and Engineering,Central South University,Changsha 410083,China;2.State Key Laboratory of CAD&CG,Zhejiang University,Hangzhou 310058,China);Implicit surfaces triangulation method with boundary preserved[J];Computer Engineering and Design;2009-06
2 PENG Xiaoxin,TANG Yuehong(Science Institute,Nanjing University of Aeronautics Astronautics,Nangjing 210016);Automatic reconstruction of T-spline surfaces[J];Journal of Image and Graphics;2010-12
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