The Minimax Cylinder Estimation Problem

Sanjay Radhakrishnan; Jose A. Ventura; Sanjay E. Ramaswamy

doi:10.1016/S0278-6125(98)80023-X

The Minimax Cylinder Estimation Problem

Sanjay Radhakrishnan
, Jose A. Ventura
, Sanjay E. Ramaswamy

Harold and Inge Marcus Department of Industrial and Manufacturing Engineering

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this study, the optimal characterization of the minimax cylinder estimation problem is presented. The complexity of the optimal solution procedure is shown to be O(n⁶), where n is the number of sampled boundary points. Hence, an iterative cyclic coordinate procedure is also developed to provide near-optimal solutions. The cyclic coordinate algorithm has been tested and the results of several test problems are provided.

Original language	English (US)
Pages (from-to)	97-106
Number of pages	10
Journal	Journal of Manufacturing Systems
Volume	17
Issue number	2
DOIs	https://doi.org/10.1016/S0278-6125(98)80023-X
State	Published - 1998

All Science Journal Classification (ASJC) codes

Software
Control and Systems Engineering
Hardware and Architecture
Industrial and Manufacturing Engineering

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10.1016/S0278-6125(98)80023-X

Cite this

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title = "The Minimax Cylinder Estimation Problem",

abstract = "In this study, the optimal characterization of the minimax cylinder estimation problem is presented. The complexity of the optimal solution procedure is shown to be O(n6), where n is the number of sampled boundary points. Hence, an iterative cyclic coordinate procedure is also developed to provide near-optimal solutions. The cyclic coordinate algorithm has been tested and the results of several test problems are provided.",

author = "Sanjay Radhakrishnan and Ventura, \{Jose A.\} and Ramaswamy, \{Sanjay E.\}",

note = "Funding Information: Acknowledgments This researchw ork has been partially supported by the National Science Foundation under grant DDM 90-57066.",

year = "1998",

doi = "10.1016/S0278-6125(98)80023-X",

language = "English (US)",

volume = "17",

pages = "97--106",

journal = "Journal of Manufacturing Systems",

issn = "0278-6125",

publisher = "Elsevier B.V.",

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T1 - The Minimax Cylinder Estimation Problem

AU - Radhakrishnan, Sanjay

AU - Ventura, Jose A.

AU - Ramaswamy, Sanjay E.

N1 - Funding Information: Acknowledgments This researchw ork has been partially supported by the National Science Foundation under grant DDM 90-57066.

PY - 1998

Y1 - 1998

N2 - In this study, the optimal characterization of the minimax cylinder estimation problem is presented. The complexity of the optimal solution procedure is shown to be O(n6), where n is the number of sampled boundary points. Hence, an iterative cyclic coordinate procedure is also developed to provide near-optimal solutions. The cyclic coordinate algorithm has been tested and the results of several test problems are provided.

AB - In this study, the optimal characterization of the minimax cylinder estimation problem is presented. The complexity of the optimal solution procedure is shown to be O(n6), where n is the number of sampled boundary points. Hence, an iterative cyclic coordinate procedure is also developed to provide near-optimal solutions. The cyclic coordinate algorithm has been tested and the results of several test problems are provided.

UR - https://www.scopus.com/pages/publications/0031653293

UR - https://www.scopus.com/pages/publications/0031653293#tab=citedBy

U2 - 10.1016/S0278-6125(98)80023-X

DO - 10.1016/S0278-6125(98)80023-X

M3 - Article

AN - SCOPUS:0031653293

SN - 0278-6125

VL - 17

SP - 97

EP - 106

JO - Journal of Manufacturing Systems

JF - Journal of Manufacturing Systems

IS - 2

ER -

The Minimax Cylinder Estimation Problem

Abstract

All Science Journal Classification (ASJC) codes

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