Continuous Images of Arcs

A Note on Inverse Limits of Continuous Images of Arcs

The main purpose of this paper is to prove some theorems concerning inverse systems and limits of continuous images of arcs. In particular, we shall prove that if X = {Xa, pab, A} is an inverse system of continuous images of arcs with monotone bonding mappings such that cf(card(A)) = ω1, then X = limX is a continuous image of an arc if and only if each proper subsystem {Xa, pab, B} of X with cf...

א1-directed Inverse Systems of Continuous Images of Arcs

Themain purpose of this paper is to prove that if X= {Xa,pab,A} is a usual א1directed inverse system of continuous images of arcs with monotone bonding mappings, then X = limX is a continuous image of an arc (Theorem 2.4). Some applications of this statement are also given.

A characterization of continuous images of arcs by their images of weight ≤ א 1 Ivan

The main purpose of this paper is to characterize the continuous images of arcs by their images of the weight ≤ א1. More precisely, we will show that a compact space X is the continuous image of an arc if and only if every continuous image Y = f(X) with w(Y)≤ א1 is a continuous image of an arc.

Topology Proceedings 14 (1989) pp. 163-193: ON CONTINUOUS IMAGES OF ARCS AND COMPACT ORDERABLE SPACES

Detection of Circular Arcs in Images

A long standing problem in computer vision is the extraction of meaningful features from images. This paper describes a method of detecting circular arcs in images based on a recursive algorithm that first analyses lists of connected edge points and finds a polygonal description, and then analyses this description fitting arcs to groups of connected lines. The result is a description of image e...