Splines in geometry and topology

TL;DR

This survey explores the application of splines in geometry and topology, highlighting their similarities and differences from classical spline theory through accessible examples and references.

Contribution

It provides a non-technical overview of how splines are used in geometry and topology, emphasizing their roles and distinctions from classical approaches.

Findings

Highlights the role of splines in geometric and topological contexts

Provides accessible examples illustrating spline applications

References comprehensive treatments for further study

Abstract

This survey paper describes the role of splines in geometry and topology, emphasizing both similarities and differences from the classical treatment of splines. The exposition is non-technical and contains many examples, with references to more thorough treatments of the subject.