# Accession Number:

## AD0687321

# Title:

## SURFACE MATCHING,

# Descriptive Note:

# Corporate Author:

## MCDONNELL DOUGLAS ASTRONAUTICS CO HUNTINGTON BEACH CALIF WESTERN DIV

# Personal Author(s):

# Report Date:

## 1969-04-01

# Pagination or Media Count:

## 25.0

# Abstract:

The paper describes a process, mathematical in nature, which operates on surfaces. The process, called Surface Matching, is a non-heuristic, computerized method of solving the following problem Given a set of altitude measurements taken at various places in the x-y plane, in which the relative distances and directions from each other are known, but whose absolute positions on the x-y plane are unknown and given a contour map for this region determine the absolute location of the point where the final measurement was made and determine the probability that this measurement was made at any given point in the plane. A solution to the problem is found by shifting the contours associated with each altitude measurement by an amount determined from the distance and direction measurements, and then displaying these shifted contours for the final position which would be represented by the intersection of the shifted contours. To obtain the probability map, a series of least-square calculations using the altitude, direction, and distance measurements are performed for each grid point in the region. These calculations are then converted to probability-like values, which are used to plot the probability contours. Author

# Descriptors:

# Subject Categories:

- Cartography and Aerial Photography
- Statistics and Probability