Geometric dual formulation for first-derivative-based univariate cubic L-1 splines
文献类型：期刊论文
| 作者 | Zhao, Y. B.2; Fang, S. -C.1,3; Lavery, J. E.4 |
| 刊名 | JOURNAL OF GLOBAL OPTIMIZATION
 |
| 出版日期 | 2008-04-01 |
| 卷号 | 40期号:4页码:589-621 |
| 关键词 | conjugate function convex program cubic L-1 spline shape-preserving interpolation piecewise polynomial |
| ISSN号 | 0925-5001 |
| DOI | 10.1007/s10898-006-9124-y |
| 英文摘要 | With the objective of generating "shape-preserving" smooth interpolating curves that represent data with abrupt changes in magnitude and/or knot spacing, we study a class of first-derivative-based C-1-smooth univariate cubic L-1 splines. An L-1 spline minimizes the L-1 norm of the difference between the first-order derivative of the spline and the local divided difference of the data. Calculating the coefficients of an L-1 spline is a nonsmooth non-linear convex program. Via Fenchel's conjugate transformation, the geometric dual program is a smooth convex program with a linear objective function and convex cubic constraints. The dual-to-primal transformation is accomplished by solving a linear program. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000253528100006 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6668]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Fang, S. -C. |
| 作者单位 | 1.N Carolina State Univ, Raleigh, NC 27695 USA 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 3.Tsinghua Univ, Dept Math Sci & Ind Engn, Beijing 100084, Peoples R China 4.USA, Res Off, Res Lab, Div Math, Res Triangle Pk, NC 27709 USA |
| 推荐引用方式 GB/T 7714 | Zhao, Y. B.,Fang, S. -C.,Lavery, J. E.. Geometric dual formulation for first-derivative-based univariate cubic L-1 splines[J]. JOURNAL OF GLOBAL OPTIMIZATION,2008,40(4):589-621. |
| APA | Zhao, Y. B.,Fang, S. -C.,&Lavery, J. E..(2008).Geometric dual formulation for first-derivative-based univariate cubic L-1 splines.JOURNAL OF GLOBAL OPTIMIZATION,40(4),589-621. |
| MLA | Zhao, Y. B.,et al."Geometric dual formulation for first-derivative-based univariate cubic L-1 splines".JOURNAL OF GLOBAL OPTIMIZATION 40.4(2008):589-621. |
入库方式： OAI收割
来源：数学与系统科学研究院
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