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- Prosenjit Bose, Hazel Everetty, +5 authors Godfried Toussaint
- 1993

Visibility representations of graphs map vertices to sets in Euclidean space and express edges as visibility relations between these sets. Application areas such as VLSI wire routing and circuitâ€¦ (More)

The traditional sona drawing art of Angola is compared from the structural point of view to similar geometric arts found in other parts of the world. A simple algorithm is proposed for constructing aâ€¦ (More)

- Justin Colannino, Mirela Damian, +4 authors Godfried Toussaint
- 2006

The restriction scaffold assignment problem takes as input two finite point sets S and T (with S containing more points than T ) and establishes a correspondence between points in S and points in T ,â€¦ (More)

Let S and T be two finite sets of points on the real line with |S| + |T | = n and |S| > |T |. We consider two distance measures between S and T that have applications in music information retrievalâ€¦ (More)

Let S and T be point sets with |S| â‰¥ |T | and total cardinality n. A linking between S and T is a matching, L, between the sets where every element of S and T is matched to at least one element ofâ€¦ (More)

- Therese C. Biedl, Erik Demainey, +7 authors Sue Whitesides
- 1998

It is an open problem to determine whether a polygonal chain can be \straightened" in the plane if its links are not allowed to cross. This problem been raised independently by several researchers,â€¦ (More)

In the manufacturing industry, nding a suitable location for the pin gate (the pin gate is the point from which liquid is poured or injected into a mold) is a diicult problem when viewed from the uidâ€¦ (More)

- DECISION BOUNDARIES, David Bremner, +5 authors Godfried Toussaint
- 2004

Given a set R of red points and a set B of blue points, the nearest-neighbour decision rule classifies a new point q as red (respectively, blue) if the closest point to q in R âˆª B comes from Râ€¦ (More)

The Hexachordal Theorem may be interpreted in terms of scales, or rhythms, or as abstract mathematics. In terms of scales it claims that the complement of a chord that uses half the pitches of aâ€¦ (More)

Consider a hexagonal unknot with edges of fixed length, for which we allow universal joint motions but do not allow edge crossings. We consider the maximum number of embedding classes that any suchâ€¦ (More)