Paper by Martin L. Demaine
- Seung Man Oh, Godfried T. Toussaint, Erik D. Demaine, and Martin L. Demaine, “A Dissimilarity Measure for Comparing Origami Crease Patterns”, in Proceedings of the 4th International Conference on Pattern Recognition Applications and Methods (ICPRAM 2015), volume 1, Lisbon, Portugal, January 10–12, 2015, pages 386–393.
A measure of dissimilarity (distance) is proposed for comparing origami crease
patterns represented as geometric graphs. The distance measure is determined
by minimum-weight matchings calculated between the edges as well as the
vertices of the graphs being compared. The distances between pairs of edges
and pairs of vertices of the graph are weighted linear combinations of six
parameters that constitute geometric features of the edges and vertices. The
results of a preliminary study performed with a collection of 45 crease
patterns obtained from Mitani's ORIPA web page, revealed which of these
features appear to be more salient for obtaining a clustering of the crease
patterns that appears to agree with human intuition.
- The paper is available in PDF (9067k).
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