Paper Info
Title
Measuring linearity of closed curves and connected compound curves
Abstract
In this paper we define a new linearity measure for closed curves. We start with simple closed curves which represent the boundaries of bounded planar regions. It turns out that the method can be extended to closed curves which self-intersect and also to certain configurations consisting of several curves, including open curve segments. In all cases, the measured linearities range over the interval (0,1], and do not change under translation, rotation and scaling transformations of the considered curve. In addition, the highest possible linearity (which is 1) is reached if and only if the measured curve consists of two overlapping (i.e. coincident) straight line segments. The new linearity measure is theoretically well founded and all related statements are supported with rigorous mathematical proofs.
Year
DOI
Venue
2012
10.1007/978-3-642-37431-9_24
ACCV (3)
Keywords
Field
DocType
bounded planar region,new linearity measure,considered curve,linearities range,simple closed curve,measured curve,certain configuration,highest possible linearity,connected compound curve,open curve segment,closed curve
Line (geometry),Family of curves,Linearity,Planar,Geometry,Scaling,Mathematics,Coincident,Bounded function
Conference
Citations 
PageRank 
References 
2
0.36
12
Authors
3
Name
Order
Citations
PageRank
Paul L. Rosin12559254.25
Jovanka Pantović272.94
Joviša Žunić3757.94