A new sequential cluster algorithm for optical lens design
type: Item
instance of: scholarly article
title: A new sequential cluster algorithm for optical lens design
zbMATH Open document ID: 0628.90092
DOI: 10.1007/BF00938306
author: G. Elsner
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: Optical lens design problems are solved by numerical optimization. If we describe an optical lens system by constructive parameters, we may identify such a system by a vector \(x\in {\mathbb{R}}^ n\). To find an adequate system for a given problem, we have to organize the optimization process in a parameter space with a fixed dimension n. Often, such an optimization leads to inadequate results. For this reason, we have to alter the number of lenses contained in the system. Consequently, we have to change the dimension of the space for the parametric description of the lens system. This paper describes a special sequential cluster algorithm to realize the move from one parameter space to another by computation.
Mathematics Subject Classification ID: 90C90
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 4023058
zbMATH Keywords: cluster theory
zbMATH Keywords: artificial intelligence
zbMATH Keywords: Optical lens design
zbMATH Keywords: sequential cluster algorithm
MaRDI profile type: Publication
cites work: Some remarks on computer-aided design of optical lens systems
cites work: On Estimation of a Probability Density Function and Mode
full work available at URL: https://doi.org/10.1007/bf00938306
OpenAlex ID: W21319668
description: scientific article; zbMATH DE number 4023058