activity
20202025
most citedA Survey of Methods for Converting Unstructured Data to CSG Models

9 citations · 21 across the 9 of their papers we have counts for

collaborators

9 papers

cs.CV2025

SPICE: Simple and Practical Image Clarification and Enhancement

Alexander Belyaev, Pierre-Alain Fayolle, Michael Cohen

We introduce a simple and efficient method to enhance and clarify images. More specifically, we deal with low light image enhancement and clarification of hazy imagery (hazy/foggy…

cs.GR2025

PyFRep: Shape Modeling with Differentiable Function Representation

Pierre-Alain Fayolle, Evgenii Maltsev

We propose a framework for performing differentiable geometric modeling based on the Function Representation (FRep). The framework is built on top of modern libraries for performin…

math.NA2024

Accuracy Improvements for Convolutional and Differential Distance Function Approximations

Alexander Belyaev, Pierre-Alain Fayolle

Given a bounded domain, we deal with the problem of estimating the distance function from the internal points of the domain to the boundary of the domain. Convolutional and differe…

cs.GR2023★ 9 cited

A Survey of Methods for Converting Unstructured Data to CSG Models

Pierre-Alain Fayolle, Markus Friedrich

The goal of this document is to survey existing methods for recovering CSG representations from unstructured data such as 3D point-clouds or polygon meshes. We review and discuss r…

cs.CV2021★ 1 cited

Reconstruction of Convex Polytope Compositions from 3D Point-clouds

Markus Friedrich, Pierre-Alain Fayolle

Reconstructing a composition (union) of convex polytopes that perfectly fits the corresponding input point-cloud is a hard optimization problem with interesting applications in rev…

cs.GR2021★ 2 cited

Signed Distance Function Computation from an Implicit Surface

Pierre-Alain Fayolle

We describe in this short note a technique to convert an implicit surface into a Signed Distance Function (SDF) while exactly preserving the zero level-set of the implicit. The pro…

cs.CG2021

On the Complexity of the CSG Tree Extraction Problem

Markus Friedrich, Pierre-Alain Fayolle

In this short note, we discuss the complexity of the search space for the problem of finding a CSG expression (or CSG tree) corresponding to an input point-cloud and a list of fitt…

cs.AI2020★ 3 cited

A Flexible Pipeline for the Optimization of CSG Trees

Markus Friedrich, Christoph Roch, Sebastian Feld +2

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 exis…

cs.GR2020★ 6 cited

Accelerating Evolutionary Construction Tree Extraction via Graph Partitioning

Markus Friedrich, Sebastian Feld, Thomy Phan +1

Extracting a Construction Tree from potentially noisy point clouds is an important aspect of Reverse Engineering tasks in Computer Aided Design. Solutions based on algorithmic geom…