G. Wurzer, W Lorenz:
"FRACAM - Cell Phone Application to Measure Box Counting Dimension";
Talk: CAADRIA-conference (CAAD-Research in Asia), Suzhou, China; 2017-04-05 - 2017-04-08; in: "Protocols, Flows and Glitches, Proceedings of the 22nd International Conference of the Association for Computer-Aided Architectural Design Research in Asia (CAADRIA) 2017", The Association for Computer-Aided Architectural Design Research in Asia (CAADRIA), Hong Kong (2017), ISBN: 978-988-19026-8-9; 725 - 734.

There are two kinds of algorithms: those that are `better´ with respect to accuracy and those that are `faster´. In the past, fractal analysis by means of box-counting - including both, binary and greyscale analysis - has been focused on the former. In our work, however, we want to aim at the second category: algorithms that are fast and easy to use, without losing view on significance. To this end we have devised a cell phone application which let users grasp and analyse photographs regarding the box-counting dimension of e.g. facades. The application includes two measurement methods for binary images, based on threshold conversions, and one for greyscale images. Accuracy has been tested on deterministic fractals with known fractal dimension. As a matter of fact we are able to produce what was formerly constraint to scientific implementations or discourse on every day´s hardware.

Fractal analysis; Differential Box-counting; Fractal dimension; Cell phone application

http://publik.tuwien.ac.at/files/publik_259273.pdf