Application of Radial Basis Functions to Represent Optical Freeform Surfaces

被引：8

作者：

Cakmakci, Ozan ^{[1
]}

Kaya, Ilhan ^{[2
]}

Fasshauer, Gregory E. ^{[3
]}

Thompson, Kevin P. ^{[1
]}

Rolland, Jannick P. ^{[4
]}

机构：

[1] Opt Res Associates, 3280 E Foothill Blvd,Suite 300, Pasadena, CA 91107 USA

[2] Univ Cent Florida, CREOL, Sch Elect Engn & Comp Sci, Orlando, FL 32816 USA

[3] IIT, Dept Math Appl, Chicago, IL 60616 USA

[4] Univ Rochester, Inst Opt, Rochester, NY 14627 USA

来源：

INTERNATIONAL OPTICAL DESIGN CONFERENCE 2010 | 2010年 / 7652卷

关键词：

Aspherics; Nonspherical mirror surfaces; SHAPE-DESCRIPTION;

D O I：

10.1117/12.871820

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper presents the use of radial basis functions (RBF) for describing freeform optical surfaces. The RBF approximation framework along with preliminary optical design experiences will be summarized.

引用

页数：8

共 50 条

[31] Comparison of Radial Basis Functions
Rozhenko, A., I
NUMERICAL ANALYSIS AND APPLICATIONS, 2018, 11 (03) : 220 - 235
[32] Scaling of radial basis functions
Larsson, Elisabeth
Schaback, Robert
IMA JOURNAL OF NUMERICAL ANALYSIS, 2024, 44 (02) : 1130 - 1152
[33] Deformable radial basis functions
Huebner, Wolfgang
Mallot, Hanspeter A.
ARTIFICIAL NEURAL NETWORKS - ICANN 2007, PT 1, PROCEEDINGS, 2007, 4668 : 411 - +
[34] Applying radial basis functions
Mulgrew, B
IEEE SIGNAL PROCESSING MAGAZINE, 1996, 13 (02) : 50 - 65
[35] Robustness of radial basis functions
Eickhoff, Ralf
Rueckert, Ulrich
NEUROCOMPUTING, 2007, 70 (16-18) : 2758 - 2767
[36] Radial basis functions for the sphere
Baxter, BJC
Hubbert, S
RECENT PROGRESS IN MULTIVARIATE APPROXIMATION, 2001, 137 : 33 - 47
[37] Application of Radial Basis Functions in Neural Networks for Prognosis of Economic Parameters
Dudnik, Olga V.
Bidyuk, Pyetr I.
Journal of Automation and Information Sciences, 2003, 35 (1-4) : 39 - 45
[38] Application of radial basis functions to evolution equations arising in image segmentation
Li Shu-Ling
Li Xiao-Lin
CHINESE PHYSICS B, 2014, 23 (02)
[39] Application of radial basis functions to evolution equations arising in image segmentation
李淑玲
李小林
Chinese Physics B, 2014, (02) : 587 - 592
[40] Radial basis functions for multidimensional learning with an application to nondestructive sizing of defects
Ahmed, S. Shuaib
Rao, B. Purna Chandra
Jayakumar, T.
2013 IEEE SYMPOSIUM ON FOUNDATIONS OF COMPUTATIONAL INTELLIGENCE (FOCI), 2013, : 38 - 43

← 1 2 3 4 5 →