Graph Bundling by Kernel Density Estimation

TL;DR: This work presents a fast and simple method to compute bundled layouts of general graphs using an image sharpening technique and produces graph bundlings of similar appearance and quality to state‐of‐the‐art methods at a fraction of the cost.

Abstract: We present a fast and simple method to compute bundled layouts of general graphs. For this, we first transform a given graph drawing into a density map using kernel density estimation. Next, we apply an image sharpening technique which progressively merges local height maxima by moving the convolved graph edges into the height gradient flow. Our technique can be easily and efficiently implemented using standard graphics acceleration techniques and produces graph bundlings of similar appearance and quality to state-of-the-art methods at a fraction of the cost. Additionally, we show how to create bundled layouts constrained by obstacles and use shading to convey information on the bundling quality. We demonstrate our method on several large graphs. © 2012 Wiley Periodicals, Inc.