A Flexible Pipeline for the Optimization of CSG Trees

08/09/2020
by   Markus Friedrich, et al.
0

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.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/16/2020

UCSG-Net – Unsupervised Discovering of Constructive Solid Geometry Tree

Signed distance field (SDF) is a prominent implicit representation of 3D...
research
07/11/2018

Geometric comparison of phylogenetic trees with different leaf sets

The metric space of phylogenetic trees defined by Billera, Holmes, and V...
research
04/07/2020

Zipping Segment Trees

Stabbing queries in sets of intervals are usually answered using segment...
research
06/01/2021

Quantification of Carbon Sequestration in Urban Forests

Vegetation, trees in particular, sequester carbon by absorbing carbon di...
research
02/24/2019

Generation of Tree-Child phylogenetic networks

Phylogenetic networks generalize phylogenetic trees by allowing the mode...
research
03/29/2013

Geometric tree kernels: Classification of COPD from airway tree geometry

Methodological contributions: This paper introduces a family of kernels ...
research
04/26/2022

Function Decomposition Tree with Causality-First Perspective and Systematic Description of Problems in Materials Informatics

As interdisciplinary science is flourishing because of materials informa...

Please sign up or login with your details

Forgot password? Click here to reset