69 citations · 72 across the 6 of their papers we have counts for
7 papers
Direct Construction of Aperiodic Tilings with the Hat Monotile
Ulrich Reitebuch
In 2023, the quest for an aperiodic monotile was answered by the hat monotile. In this article, structures in this aperiodic tiling are discovered, which allow for a direct computa…
Feature-aware manifold meshing and remeshing of point clouds and polyhedral surfaces with guaranteed smallest edge length
Henriette Lipschütz, Ulrich Reitebuch, Konrad Polthier +1
Point clouds and polygonal meshes are widely used when modeling real-world scenarios. Here, point clouds arise, for instance, from acquisition processes applied in various surround…
Weaving patterns inspired by the pentagon snub subdivision scheme
Henriette Lipschütz, Ulrich Reitebuch, Martin Skrodzki +1
Various computer simulations regarding, e.g., the weather or structural mechanics, solve complex problems on a two-dimensional domain. They mostly do so by splitting the input doma…
Experimental visually-guided investigation of sub-structures in three-dimensional Turing-like patterns
Martin Skrodzki, Ulrich Reitebuch, Eric Zimmermann
In his 1952 paper "The chemical basis of morphogenesis", Alan M. Turing presented a model for the formation of skin patterns. While it took several decades, the model has been vali…
Robust and High Fidelity Mesh Denoising
Sunil Kumar Yadav, Ulrich Reitebuch, Konrad Polthier
This paper presents a simple and effective two-stage mesh denoising algorithm, where in the first stage, the face normal filtering is done by using the bilateral normal filtering i…
Combinatorial and Asymptotical Results on the Neighborhood Grid
Martin Skrodzki, Ulrich Reitebuch, Alex McDonough
In various application fields, such as fluid-, cell-, or crowd-simulations, spatial data structures are very important. They answer nearest neighbor queries which are instrumental…
Mesh Denoising based on Normal Voting Tensor and Binary Optimization
S. K. Yadav, U. Reitebuch, K. Polthier
This paper presents a tensor multiplication based smoothing algorithm that follows a two step denoising method. Unlike other traditional averaging approaches, our approach uses an…