Constraining Plane Configurations in Computer-Aided Design: Combinatorics of Directions and LengthsSIAM Journal on Discrete Mathematics
AbstractConfigurations of points in the plane constrained by directions only or by lengths alone lead to equivalent theories known as parallel drawings and infinitesimal rigidity of plane frameworks. We combine these two theories by introducing a new matroid on the edge set of the complete graph with doubled edges to describe the combinatorial properties of direction-length designs.
Publisher Statement© 1999, SIAM Publications.
Citation InformationBrigitte Servatius and Walter Whiteley. "Constraining Plane Configurations in Computer-Aided Design: Combinatorics of Directions and Lengths" SIAM Journal on Discrete Mathematics Vol. 12 Iss. 1 (1999) p. 136 - 153
Available at: http://works.bepress.com/brigitte_servatius/1/