Genetic Algorithm Golden Ratio Design Model for Auto Arts

Abstract

Golden ratio denoted by the Greek letter Phi (φ) represents the irrational number 1.6180339887 approximately. The unique and mystifying properties of this number have attracted many researchers and mathematicians. Artists and designers tried to employ the golden ratio in eminent works of drawing, artifacts, painting, and architectures as golden ratio design is very pleasing to look at because the golden ratio itself is discovered from nature through the body proportions of living beings. Nowadays every big organization or company converts its design or logo to a golden ratio design and hires the biggest designers with the highest cost to make it as only the highest professional designers can make it and look good. This paper proposes a framework for generating a golden ratio design using golden circles through a sketched design from the user so that the output design is near to the input design. Genetic algorithm is used to optimize the output design. i.e., maximize the similarity between the input sketched design by the user and the output design using golden ratio in less computational time. The data set presented in this work is collected by the authors and could be downloaded from the following link: https://drive.google.com/file/d/1IEKIs0f1mLxSf7hPZhVKRU0Aiv4VXGax/view?usp=sharing.