English

A Flexible Pipeline for the Optimization of CSG Trees

Artificial Intelligence 2020-09-15 v2 Graphics

Abstract

CSG trees are an intuitive, yet powerful technique for the representation of geometry using a combination of Boolean set-operations and geometric primitives. In general, there exists an infinite number of trees all describing the same 3D solid. However, some trees are optimal regarding the number of used operations, their shape or other attributes, like their suitability for intuitive, human-controlled editing. In this paper, we present a systematic comparison of newly developed and existing tree optimization methods and propose a flexible processing pipeline with a focus on tree editability. The pipeline uses a redundancy removal and decomposition stage for complexity reduction and different (meta-)heuristics for remaining tree optimization. We also introduce a new quantitative measure for CSG tree editability and show how it can be used as a constraint in the optimization process.

Keywords

Cite

@article{arxiv.2008.03674,
  title  = {A Flexible Pipeline for the Optimization of CSG Trees},
  author = {Markus Friedrich and Christoph Roch and Sebastian Feld and Carsten Hahn and Pierre-Alain Fayolle},
  journal= {arXiv preprint arXiv:2008.03674},
  year   = {2020}
}

Comments

The 28th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision (WSCG) 2020, p. 79-88. Update: Enlarge some of the figures and move some of the figures to the end

R2 v1 2026-06-23T17:43:46.572Z