Tools for Asymmetry Rectification in Shape Design

摘要

This paper considers the task of asymmetry rectification. We start by giving various reasons why the possession of symmetry may be beneficial for designed shapes, and outline various sources of data leading to shapes which are less symmetric than desired. We then consider how to make asymmetric shapes symmetric, a process we call asymmetry rectification. In detail, we break this process into three stages — the detection of existing partial- oralmost-symmetries, the choice of the parameters of the symmetry to be imposed, and construction of the symmetric shape from the original shape. Various approaches to each of these steps are considered, and their relative merits are discussed.