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Can I read A Class of Methods for Fitting a Curve or Surface to Data by Minimizing the Sum of Squares of Orthogonal Distances on EtoBox?
A Class of Methods for Fitting a Curve or Surface to Data by Minimizing the Sum of Squares of Orthogonal Distances by A. Atieg; G.A. Watson is a Mathematics article available to read on EtoBox.
What is A Class of Methods for Fitting a Curve or Surface to Data by Minimizing the Sum of Squares of Orthogonal Distances about?
Given a family of curves or surfaces in R s , an important problem is that of ÿnding a member of the family which gives a "best" ÿt to m given data points. A criterion which is relevant to many application areas is orthogonal distance regression, where the sum of squares of the orthogonal distances from the data points to the surface is minimized. For certain types of ÿtting problem, attention has recently focussed on the use of an iteration process which forces orthogonality to hold at every iteration and uses steps of Gauss-Newton type. Within this framework a number of di erent methods has recently emerged, and the purpose of this paper is to place these methods into a uniÿed framework and to make some comparisons.
Who reads A Class of Methods for Fitting a Curve or Surface to Data by Minimizing the Sum of Squares of Orthogonal Distances?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- A. Atieg; G.A. Watson
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)