02/22/07 MATHEMATICS
DEPARTMENT, FERRIS STATE UNIVERSITY

MATH
COLLOQUIUM, THURSDAY, FEBRUARY 22, 11:00 AM, STR #138

** **

**SPEAKER: **Dr. Yaron Felus, Associate
Professor,

Surveying Engineering
Department, Ferris State University** **

#

**TITLE: The Errors in all
Variables Approach: The Case Study of
Mapping **

**Geological Lineaments in the South Pole.**

**Abstract:** Least
Squares (LS) adjustment method aims at estimating a vector of parameters x,
from a linear model (*y* = *Ax* +*e*), that includes an
observation vector *y*, a vector of normally distributed errors *e*
and a matrix of variables *A*. However, in this linear model, also known
as the Gauss Markov model, the matrix of variables *A* is considered as
fixed or error free. This is not the case in many physical systems where errors
exist both in the observations vector *y*, and in the matrix of variables*
A*. The Total Least Squares (TLS) method is a relatively new mathematical
concept developed to solve such problems also known as the
Error-In-all-Variable models.

In this presentation a novel
application of the TLS technique will be described to identify spatial pattern
in volcanic cones at West-Antarctica. Different mathematical and computational
methods for pattern recognition and cluster detection will be reviewed and compared
with the TLS method. Tests of the new algorithms on a unique data set collected
using remote sensing and field surveying methods performed in White Island of south Victoria
Land in west Antarctica
will be presented."

** **

**REFRESHMENTS: **11:00
AM, STR #138

### Please visit Math Colloquium website at

http://www.ferris.edu/htmls/colleges/artsands/Math/MATH_COLLOQUIUM/ColloquiumWeb/index.html

** **