Please wait a minute...
ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2006, Vol. 7 Issue ( 9): 15-    DOI: 10.1631/jzus.2006.A1566
    
Two-order Hermite vector-interpolating subdivision schemes
FAN Min, KANG Bao-sheng, ZHAO Hua
Beijing Institute of Tracking and Telecommunication Technology, Beijing 100094, China; Department of Computer Science, Northwest University, Xi’an 710069, China
Download:     PDF (0 KB)     
Export: BibTeX | EndNote (RIS)      

Abstract  A family of two-order Hermite vector-interpolating subdivision schemes is proposed and its convergence and continuity are analyzed. The iterative level can be estimated for given error. The sufficient conditions of C2 continuity are proved. Geometric features of subdivision curves, such as line segments, cusps and inflection points, are obtained by appending some conditions to initial vectorial Hermite sequence. An algorithm is presented for generating geometric features. For an initial sequence of two-order Hermite elements from unit circle, the numerical error of the 4th subdivided level is O(10−4).

Key words： Two-order vectorial Hermite element      Hermite-interpolating subdivision schemes      Geometric features     
Received: 20 April 2006     
CLC:  TP391  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
FAN Min
KANG Bao-sheng
ZHAO Hua
Cite this article:

FAN Min, KANG Bao-sheng, ZHAO Hua. Two-order Hermite vector-interpolating subdivision schemes. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7( 9): 15-.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2006.A1566     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2006/V7/I 9/15

[1] Yi-cong Gao, Yi-xiong Feng, Jian-rong Tan. Multi-principle preventive maintenance: a design-oriented scheduling study for mechanical systems[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2014, 15(11): 862-872.
[2] Jin Cheng, Gui-fang Duan, Zhen-yu Liu, Xiao-gang Li, Yi-xiong Feng, Xiao-hai Chen. Interval multiobjective optimization of structures based on radial basis function, interval analysis, and NSGA-II[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2014, 15(10): 774-788.
[3] Wen-feng Gan, Jian-zhong Fu, Hong-yao Shen, Zhi-wei Lin. A morphing machining strategy for artificial bone[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2014, 15(3): 157-171.
[4] Chang-yu Cui, Bao-shi Jiang, You-bao Wang. Node shift method for stiffness-based optimization of single-layer reticulated shells[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2014, 15(2): 97-107.
[5] Hue-yee Chong, Mahidzal Dahari, Hwa-jen Yap, Ying-tai Loong. Fuzzy-based risk prioritization for a hydrogen refueling facility in Malaysia[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2013, 14(8): 565-573.
[6] David Poto?nik, Bojan Dol?ak, Miran Ulbin. GAJA: 3D CAD methodology for developing a parametric system for the automatic (re)modeling of the cutting components of compound washer dies[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2013, 14(5): 327-340.
[7] Jing-hua Xu, Shu-you Zhang, Jian-rong Tan, Ri-na Sa. Collisionless tool orientation smoothing above blade stream surface using NURBS envelope*#[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2013, 14(3): 187-197.
[8] Francisco J. Martinez-Martin, Fernando Gonzalez-Vidosa, Antonio Hospitaler, Víctor Yepes. Multi-objective optimization design of bridge piers with hybrid heuristic algorithms[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2012, 13(6): 420-432.
[9] Zhen-fei Zhan, Jie Hu, Yan Fu, Ren-Jye Yang, Ying-hong Peng, Jin Qi. Multivariate error assessment of response time histories method for dynamic systems[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2012, 13(2): 121-131.
[10] Nur Saaidah Abu Bakar, Mohd Rizal Alkahari, Hambali Boejang. Analysis on fused deposition modelling performance[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2010, 11(12): 972-977.
[11] Jeonghwa Lee, Chi-Hyuck Jun. Biclustering of ARMA time series[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2010, 11(12): 959-965.
[12] Ding-yin XIA, Fei WU, Wen-hao LIU, Han-wang ZHANG. Image interpretation: mining the visible and syntactic correlation of annotated words[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2009, 10(12): 1759-1768.
[13] Kai LUO, Dong-xiao LI, Ya-mei FENG, Ming ZHANG. Depth-aided inpainting for disocclusion restoration of multi-view images using depth-image-based rendering[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2009, 10(12): 1738-1749.
[14] Rong ZHU, Min YAO. Image feature optimization based on nonlinear dimensionality reduction[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2009, 10(12): 1720-1737.
[15] Sheng-yang YU, Fang-lin WANG, Yun-feng XUE, Jie YANG. Bayesian moving object detection in dynamic scenes using an adaptive foreground model[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2009, 10(12): 1750-1758.