Zobrazeno 1 - 10
of 2 606
pro vyhledávání: '"68U05"'
In this paper, we propose a novel method for genus-one and multiply connected genus-zero surfaces, namely periodic conformal flattening.The primary advantage of this method is its independence from the cut paths and consistency preservation of the cu
Externí odkaz:
http://arxiv.org/abs/2412.19052
Autor:
Liu, Daoming, Klein, Jonathan, Rist, Florian, Pałubicki, Wojciech, Pirk, Sören, Michels, Dominik L.
We propose a unified volumetric combustion simulator that supports general wooden structures capturing the multi-phase combustion of charring materials. Complex geometric structures can conveniently be represented in a voxel grid for the effective ev
Externí odkaz:
http://arxiv.org/abs/2412.16735
Autor:
Demaine, Erik D., Demaine, Martin L., Hecher, Markus, Lin, Rebecca, Luo, Victor H., Nara, Chie
We prove two results about transforming any convex polyhedron, modeled as a linkage L of its edges. First, if we subdivide each edge of L in half, then L can be continuously flattened into a plane. Second, if L is equilateral and we again subdivide e
Externí odkaz:
http://arxiv.org/abs/2412.15130
Autor:
Chung, Lily, Demaine, Erik D., Demaine, Martin L., Hecher, Markus, Lin, Rebecca, Lynch, Jayson, Nara, Chie
We analyze the problem of folding one polyhedron, viewed as a metric graph of its edges, into the shape of another, similar to 1D origami. We find such foldings between all pairs of Platonic solids and prove corresponding lower bounds, establishing t
Externí odkaz:
http://arxiv.org/abs/2412.15121
Autor:
Zhuang, Yiyu, Lv, Jiaxi, Wen, Hao, Shuai, Qing, Zeng, Ailing, Zhu, Hao, Chen, Shifeng, Yang, Yujiu, Cao, Xun, Liu, Wei
Creating a high-fidelity, animatable 3D full-body avatar from a single image is a challenging task due to the diverse appearance and poses of humans and the limited availability of high-quality training data. To achieve fast and high-quality human re
Externí odkaz:
http://arxiv.org/abs/2412.14963
Autor:
İs, Melih, Karaca, İsmet
This work aims to define the concept of manifold, which has a very important place in the topology, on digital images. So, a general perspective is provided for two and three-dimensional imaging studies on digital curves and digital surfaces. Through
Externí odkaz:
http://arxiv.org/abs/2412.12008
The approximate discrete Radon transform (ADRT) is a hierarchical multiscale approximation of the Radon transform. In this paper, we factor the ADRT into a product of linear transforms that resemble convolutions, and derive an explicit spectral decom
Externí odkaz:
http://arxiv.org/abs/2412.11151
Autor:
Pijls, Henk, Phuong, Quan Le
In this paper, we propose a closed-form solution to the inverse problem in interpolation with periodic uniform B-spline curves. This solution is obtained by modifying the one we have established to a similar problem with relaxed uniform B-spline curv
Externí odkaz:
http://arxiv.org/abs/2412.07227
We introduce, for the first time, a cohomology-based Gromov-Hausdorff ultrametric method to analyze 1-dimensional and higher-dimensional (co)homology groups, focusing on loops, voids, and higher-dimensional cavity structures in simplicial complexes,
Externí odkaz:
http://arxiv.org/abs/2411.13887
Autor:
Kirveslahti, Henry, Wang, Xiaohan
The Euler Characteristic Transform (ECT) of Turner et al. provides a way to statistically analyze non-diffeomorphic shapes without relying on landmarks. In applications, this transform is typically approximated by a discrete set of directions and hei
Externí odkaz:
http://arxiv.org/abs/2411.08522