MathSciDoc: An Archive for Mathematician ∫

1

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2

Che X, Liang X, Li Q, et al. G 1 continuity conditions of adjacent NURBS surfaces[J]. Computer Aided Geometric Design, 2005, 22(4): 285-298.

3

Xiuzi Ye · Youdong Liang · Horst Nowacki. Geometric continuity between adjacent Bézier patches and their constructions. 1996.

4

Cotrinanavau J, Plagarcia N, Vigoanglada M, et al. A Generic Approach to Free Form Surface Generation[J]. Journal of Computing and Information Science in Engineering, 2002, 2(4): 294-301.

5

Gang X, Wang G. Extended Cubic Uniform B-spline and α-B-spline[J]. Acta Automatica Sinica, 2008, 34(8): 980-984.

6

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7

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8

Karciauskas K, Peters J. Rational bi‐cubic G2 splines for design with basic shapes[J]. Computer Graphics Forum, 2011, 30(5): 1389-1395.

9

Perezdiaz S, Sendra J R. Computing all parametric solutions for blending parametric surfaces[J]. Journal of Symbolic Computation, 2003, 36(6): 925-964.

10

Kanle Shi · S F Zhang · Hui Zhang · Junhai Yong · Jiaguang Sun · Jeanclaude Paul. G 2 B-spline interpolation to a closed mesh. 2011.

1

Schwarz M, Stamminger M. Fast GPU‐based Adaptive Tessellation with CUDA[J]. Computer Graphics Forum, 2009, 28(2): 365-374.

2

Chongyang Deng · Yajuan Li. A new bound on the magnitude of the derivative of rational Bézier curve. 2013.

3

Huang Y, Feng J, Niesner M, et al. Feature-Adaptive Rendering of Loop Subdivision Surfaces on Modern GPUs[J]. Journal of Computer Science and Technology, 2014, 29(6): 1014-1025.

4

Yanhon Liu · Xiaomi Zeng · Jua Cao · 曾晓明 · 曹娟. An improvement on the upper bounds of the magnitudes of derivatives of rational triangular Bézier surfaces. 2014.

5

Samavati F, Mahdaviamiri N, Bartels R H, et al. Multiresolution Surfaces having Arbitrary Topologies by a Reverse Doo Subdivision Method[J]. Computer Graphics Forum, 2002, 21(2): 121-134.

6

Huang Y, Feng J, Niesner M, et al. Feature-Adaptive Rendering of Loop Subdivision Surfaces on Modern GPUs[J]. Journal of Computer Science and Technology, 2014, 29(6): 1014-1025.

7

Yusha Li · Xingjiang Lu · Wenjing Zhang · Guozhao Wang. Adaptive NURBS Tessellation on GPU. 2015.

8

Schwarz M, Stamminger M. Fast GPU‐based Adaptive Tessellation with CUDA[J]. Computer Graphics Forum, 2009, 28(2): 365-374.

1

Thomas W Sederberg · Jianmin Zheng · Almaz Bakenov · Ahmad Nasri. T-splines and T-NURCCs. 2003.

2

Biermann H, Levin A, Zorin D, et al. Piecewise smooth subdivision surfaces with normal control[J]. international conference on computer graphics and interactive techniques, 2000: 113-120.

3

Morin G, Warren J, Weimer H, et al. A subdivision scheme for surfaces of revolution[J]. Computer Aided Geometric Design, 2001, 18(5): 483-502.

4

Arthur Gregory · Stephen A Ehmann · Ming C Lin. inTouch: interactive multiresolution modeling and 3D painting with a haptic interface. 2000.

5

Sederberg T W, Finnigan G T, Li X, et al. Watertight trimmed NURBS[J]. international conference on computer graphics and interactive techniques, 2008, 27(3).

6

Foskey M, Otaduy M A, Lin M C, et al. ArtNova: touch-enabled 3D model design[C]. international conference on computer graphics and interactive techniques, 2005.

7

Andrei Khodakovsky · Peter Schroder. Fine level feature editing for subdivision surfaces. 1999.

8

Li W, Ray N, Levy B, et al. Automatic and interactive mesh to T-spline conversion[C]. symposium on geometry processing, 2006: 191-200.

9

Foskey M, Otaduy M A, Lin M C, et al. ArtNova: touch-enabled 3D model design[C]. international conference on computer graphics and interactive techniques, 2005.

10

Ma W. Subdivision surfaces for CAD-an overview[J]. Computer-aided Design, 2005, 37(7): 693-709.

1

Song R, Liu Y, Martin R R, et al. Mesh saliency via spectral processing[J]. ACM Transactions on Graphics, 2014, 33(1).

2

Zeng M, Zheng J, Cheng X, et al. Templateless Quasi-rigid Shape Modeling with Implicit Loop-Closure[C]. computer vision and pattern recognition, 2013: 145-152.

3

Asafi S, Goren A, Cohenor D, et al. Weak convex decomposition by lines-of-sight[J]. symposium on geometry processing, 2013, 32(5): 23-31.

4

Van Kaick O, Fish N, Kleiman Y, et al. Shape Segmentation by Approximate Convexity Analysis[J]. ACM Transactions on Graphics, 2014, 34(1).

5

Zhang H, Wu C, Zhang J, et al. Variational Mesh Denoising Using Total Variation and Piecewise Constant Function Space[J]. IEEE Transactions on Visualization and Computer Graphics, 2015, 21(7): 873-886.

6

Liu Z, Tang S, Bu S, et al. New evaluation metrics for mesh segmentation[J]. Computers \u0026 Graphics, 2013, 37(6): 553-564.

7

Xu W, Shi Z, Xu M, et al. Transductive 3D Shape Segmentation using Sparse Reconstruction[J]. symposium on geometry processing, 2014, 33(5): 107-115.

8

Zhenbao Liu · Sicong Tang · Shuhui Bu · Hao Zhang. SMI 2013: New evaluation metrics for mesh segmentation. 2013.

9

Wang H, Lu T, Au O K, et al. Spectral 3D mesh segmentation with a novel single segmentation field[J]. Graphical Models \\/graphical Models and Image Processing \\/computer Vision, Graphics, and Image Processing, 2014, 76(5): 440-456.

10

Sipiran I, Bustos B. Key-components: detection of salient regions on 3D meshes[J]. The Visual Computer, 2013, 29(12): 1319-1332.

1

Maekawa T, Matsumoto Y, Namiki K, et al. Interpolation by geometric algorithm[J]. Computer-aided Design, 2007, 39(4): 313-323.

2

Cheng F, Fan F, Lai S, et al. Loop subdivision surface based progressive interpolation[J]. Journal of Computer Science and Technology, 2009, 24(1): 39-46.

3

Fengtao Fan · Fuhua Cheng · Shuhua Lai. Subdivision Based Interpolation with Shape Control. 2013.

4

Chen Z, Luo X, Tan L, et al. Progressive Interpolation based on Catmull-Clark Subdivision Surfaces[J]. Computer Graphics Forum, 2008, 27(7): 1823-1827.

5

Cheng F, Fan F, Lai S, et al. Progressive interpolation using loop subdivision surfaces[C]. geometric modeling and processing, 2008: 526-533.

6

Nishiyama Y, Morioka M, Maekawa T, et al. Loop Subdivision Surface Fitting by Geometric Algorithms[C]., 2008.

7

Shen L, Kim S, Saykin A J, et al. Fourier method for large scale surface modeling and registration.[J]. Computers \u0026 Graphics, 2009, 33(3): 299-311.

8

Gang X, Wang G. Extended Cubic Uniform B-spline and α-B-spline[J]. Acta Automatica Sinica, 2008, 34(8): 980-984.

9

Deng C, Ma W. Weighted progressive interpolation of Loop subdivision surfaces[J]. Computer-aided Design, 2012, 44(5): 424-431.

10

Deng C, Yang X. A simple method for interpolating meshes of arbitrary topology by Catmull–Clark surfaces[J]. The Visual Computer, 2010, 26(2): 137-146.

1

Guthe M, Balazs A, Klein R, et al. GPU-based trimming and tessellation of NURBS and T-Spline surfaces[J]. international conference on computer graphics and interactive techniques, 2005, 24(3): 1016-1023.

2

Renjiang Z, Guojin W. Constrained Bézier curves\u0027 best multi-degree reduction in the L2-norm[J]. Progress in Natural Science, 2005, 15(9): 843-850.

3

Lewanowicz S, Woźny P. Multi-degree reduction of tensor product Bézier surfaces with general boundary constraints[J]. Applied Mathematics and Computation, 2011, 217(9): 4596-4611.

4

Lu L, Wang G. Optimal multi-degree reduction of Bézier curves with -continuity[J]. Computer Aided Geometric Design, 2006, 23(9): 673-683.

5

Lu L, Wang G. Optimal multi-degree reduction of Bézier curves with G 2 -continuity[J]. Computer Aided Geometric Design, 2006.

6

Zhou L, Wei Y, Yao Y, et al. Optimal multi-degree reduction of Bézier curves with geometric constraints[J]. Computer-aided Design, 2014: 18-27.

7

Ping Zhu · Guozhao Wang. Optimal approximate merging of a pair of Bézier curves with G2-continuity. 2009.

8

Qianqian Hu · Guojin Wang. Optimal multi-degree reduction of triangular Bézier surfaces with corners continuity in the norm L2. 2008.

9

Lizheng Lu. Approximating tensor product Bézier surfaces with tangent plane continuity. 2009.

10

Qianqian H U, Guojin W. A novel algorithm for explicit optimal multi-degree reduction of triangular surfaces[J]. Science in China Series F: Information Sciences, 2008, 51(1): 13-24.