A Machine for Drawing Compound Harmonic Curves

A Method of Deviation for Drawing Implicit Curves

In contrast to the mid point technique, which may not be successful in a region where two edges of a curve cross each other, this paper introduces a unified approach called Method of Deviation that draws digital curve transforming the implicit equation of analog curve into algorithm. The method involves finding the deviation of the location of the pixel from the location of the corresponding po...

A Framework for Drawing Planar Graphs with Curves and Polylines

We describe a unified framework of aesthetic criteria and complexity measures for drawing planar graphs with polylines and curves. This framework includes several visual properties of such drawings, including aspect ratio, vertex resolution, edge length, edge separation, and edge curvature, as well as complexity measures such as vertex and edge representational complexity and the area of the dr...

Rational Harmonic Curves

Drawing Space-filling Curves in Logo

Several space-filling and related curves are described by means of ”simultaneous grammars”. From these descriptions it is very easy to obtain short procedures in logo for drawing the curves.

Drawing Bipartite Graphs on Two Curves

Let G be a bipartite graph, and let λe, λi be two parallel convex curves; we study the question about whether G admits a planar straight line drawing such that the vertices of one partite set of G lie on λe and the vertices of the other partite set lie on λi. A characterization is presented that gives rise to linear time testing and drawing algorithms.