A Mathematical Model for the Analysis of Contour-Line Data

Author:

Morse Stephen P.1

Affiliation:

1. IBM Watson Research Center, Yorktown Heights, N. Y. and Department of Electrical Engineering, New York University, New York

Abstract

This paper describes a mathematical model for the study of contour-line data. Formal definitions are given for the various classes of contour lines found on a contour map. The concept of cliff lines is introduced and the properties of both contour lines and cliff lines are investigated. The objective of the paper is to lay a foundation for the development of algorithms that will facilitate the digital computer solutions of problems involving contour-line data.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

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