Work

A Phenomenological Approach to Interactive Knot Diagrams

Year: 2024

Type: article

Abstract: Knot diagrams are among the most common visual tools in topology. Computer programs now make it possible to draw, manipulate and render them digitally, which proves to be useful in knot theory teaching and research. Still, an openly available tool to manipulate knot diagrams in a real-time, interactive way is yet to be developed. We introduce a method of operating on the geometry of the knot diagram itself without any underlying three-dimensional structure that can underpin such an application. This allows us to directly interact with vector graphics knot diagrams while at the same time computing knot invariants in ways proposed by previous work. An implementation of this method is provided.

Source: IEEE Transactions on Visualization and Computer Graphics

DOI: 10.1109/tvcg.2024.3405369

Authors: Lennart Finke, Edmund Weitz

Institutions: University of Göttingen, HAW Hamburg

Language: English

Topic: Computer Graphics and Visualization Techniques

Subfield: Computer Graphics and Computer-Aided Design

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4398765138

FWCI: 1.746

Cites: 18

Cited by: 2

Related to: 10