“Computer-Generated Floral Ornament Based on Magnetic Curves”, Anton Lopyrev2016-08-02 (, ; similar)⁠:

While the concept of using vegetation to produce ornament seems to be very trivial to take up, it proves to be difficult to create a good floral ornament design by hand. It turns out that hand drawn floral ornamentation is a very time-consuming task that requires a great deal of skill and training. In fact, most of the floral clip-art found on the web (Figure 3) is usually produced by experienced artists and is usually quite costly. As a result, one naturally tends to think about automated ways of generate floral motifs.

This article explores the problem of how to produce esthetically pleasing computer-generated ornament. The method described here is a combination of two papers by Ling Xu et al 200811 and M. T. Wong et al 19981, which are further discussed in the next section. However, instead of making the entire process fully automated, as aforementioned papers suggest, this article focuses on an idea of interactive user control. The vision here is that while it is possible to automatically produce a relatively attractive floral ornament, artistic input still remains the best tool for evaluation, about whether or not the resultant ornament is indeed esthetically pleasing. Consequently, the tool that is described in this article relies on a heavy UI component.

…The starting point of my algorithm is the basic implementation of the magnetic curves paper. The idea behind the magnetic curves algorithm is that under certain constraints a charged particle that moves under the influence of a magnetic field will trace out interesting spiral curves. By recursively releasing secondary particles from the original particle at constant intervals, more complicated curves that resemble branching vegetation can be produced.

…In this article I presented an overview of a tool I developed for interactive generation of floral ornament. While constrained to a pre-set selection of clip-art, this tool showcases the great possibilities of the magnetic curves algorithm to produce esthetically pleasing ornament, when combined with the idea of adaptive clip-art. Without a doubt, the algorithm I presented in this article greatly improves upon Ling Xu’s results from his original “magnetic curves” article. The results that I was able to achieve with my tool are comparable in their quality to a floral design that can be produced by a professional artist. I hope that the work I’ve done here can be used one day to aid an artist in the generation of beautiful designs.