Non-uniform B-spline curves with multiple shape parameters | |
Cao, Juan ; Wang, Guo-zhao ; Cao J(曹娟) | |
刊名 | http://dx.doi.org/10.1631/jzus.C1000381
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2011-10 | |
关键词 | BEZIER CURVES C-CURVES SURFACES EXTENSION KNOT |
英文摘要 | National Natural Science Foundation of China [60970079, 60933008, 61100105, 61100107]; Natural Science Foundation of Fujian Province of China [2011J05007]; National Defense Basic Scientific Research Program of China [B1420110155]; We introduce a kind of shape-adjustable spline curves defined over a non-uniform knot sequence. These curves not only have the many valued properties of the usual non-uniform B-spline curves, but also are shape adjustable under fixed control polygons. Our method is based on the degree elevation of B-spline curves, where maximum degrees of freedom are added to a curve parameterized in terms of a non-uniform B-spline. We also discuss the geometric effect of the adjustment of shape parameters and propose practical shape modification algorithms, which are indispensable from the user's perspective. |
语种 | 英语 |
出版者 | J ZHEJIANG U-SCI C |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/91051] ![]() |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Cao, Juan,Wang, Guo-zhao,Cao J. Non-uniform B-spline curves with multiple shape parameters[J]. http://dx.doi.org/10.1631/jzus.C1000381,2011. |
APA | Cao, Juan,Wang, Guo-zhao,&曹娟.(2011).Non-uniform B-spline curves with multiple shape parameters.http://dx.doi.org/10.1631/jzus.C1000381. |
MLA | Cao, Juan,et al."Non-uniform B-spline curves with multiple shape parameters".http://dx.doi.org/10.1631/jzus.C1000381 (2011). |
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