APPARATUS FOR DRAWING HARMONIC CURVES

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.

Drawing Metro Maps Using Bézier Curves

The automatic layout of metro maps has been investigated quite intensely over the last few years. Previous work has focused on the octilinear drawing style where edges are drawn horizontally, vertically, or diagonally at 45◦. Inspired by manually created curvy metro maps, we advocate the use of the curvilinear drawing style; we draw edges as Bézier curves. Since we forbid metro lines to bend (e...

Drawing Parametric Curves Using Chebyshev Polynomials

Polynomial parametric curves are powerful and popular modeling tools in Computer Graphics and Computer Aided Design. There are two requirements that are placed on techniques for displaying these curves. In interactive applications, such as drawing and design, the need is for a fast display. In non interactive applications, such as typeset ting, the need is for accuracy (or at least the appearan...