Symmetry and self-similarity are the cornerstone of Nature, exhibiting themselves through
the shapes of natural creations and ubiquitous laws of physics. Since many natural objects …

In this paper, we propose two new, perceptually motivated strategies to better measure the
similarity of 2D shape instances that are in the form of closed contours. The first strategy …

The increasing use of multiple sensors, which produce a large amount of multi-dimensional
data, requires efficient representation and classification methods. In this paper, we present a …

This study determines the optimal reflection symmetry axis of an object in a binary image
using the Jaccard index. We propose to find the global optimum on the grid by estimating the …

In this paper the novel fast approach to identify the reflection symmetry axis of binary images
is proposed. We propose to divide a skeleton of a shape into two parts–the “left” and the …

Natural objects can be subject to various transformations yet still preserve properties that we
refer to as invariants. Here, we use definitions of affine-invariant arclength for surfaces in R 3 …

In this paper we solve the problem of finding the symmetry axis of the object in a digital
binary image. A new axial symmetry criterion is formulated for a connected discrete object …

A new algorithm is presented for detecting the local weak reflection symmetries in raster
images. It uses contours extracted from the segmented image. A convex hull is constructed …

Reflection symmetry detection for 2D shapes is a well-known task in Computer Vision, but
there is a limited number of efficient and effective methods for its solution. Our previously …

This article presents an algorithmic approach to the problem of finding symmetries in
building footprints, which is motivated by map generalization tasks such as symmetry …