Saddle vertex graph (SVG) a novel solution to the discrete geodesic problem

X Ying, X Wang, Y He - ACM Transactions on Graphics (TOG), 2013 - dl.acm.org
This paper presents the Saddle Vertex Graph (SVG), a novel solution to the discrete
geodesic problem. The SVG is a sparse undirected graph that encodes complete geodesic …

On variational and PDE‐based distance function approximations

AG Belyaev, PA Fayolle - Computer Graphics Forum, 2015 - Wiley Online Library
In this paper, we deal with the problem of computing the distance to a surface (a curve in two
dimensional) and consider several distance function approximation methods which are …

Fast wavefront propagation (FWP) for computing exact geodesic distances on meshes

C Xu, TY Wang, YJ Liu, L Liu… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
Computing geodesic distances on triangle meshes is a fundamental problem in
computational geometry and computer graphics. To date, two notable classes of algorithms …

Parallel Chen-Han (PCH) algorithm for discrete geodesics

X Ying, SQ Xin, Y He - ACM Transactions on Graphics (TOG), 2014 - dl.acm.org
In many graphics applications, the computation of exact geodesic distance is very important.
However, the high computational cost of existing geodesic algorithms means that they are …

Facial structure analysis separates autism spectrum disorders into meaningful clinical subgroups

T Obafemi-Ajayi, JH Miles, TN Takahashi, W Qi… - Journal of autism and …, 2015 - Springer
Varied cluster analysis were applied to facial surface measurements from 62 prepubertal
boys with essential autism to determine whether facial morphology constitutes viable …

Discrete geodesic graph (DGG) for computing geodesic distances on polyhedral surfaces

X Wang, Z Fang, J Wu, SQ Xin, Y He - Computer Aided Geometric Design, 2017 - Elsevier
We present a new graph-based method, called discrete geodesic graph (DGG), to compute
discrete geodesics in a divide-and-conquer manner. Let M be a manifold triangle mesh with …

Fast construction of discrete geodesic graphs

YY Adikusuma, Z Fang, Y He - ACM Transactions on Graphics (TOG), 2020 - dl.acm.org
This paper develops a new method for constructing Discrete Geodesic Graph (DGG)—an
undirected, sparse graph for computing discrete geodesic distances and paths on triangle …

Compressing 3-D human motions via keyframe-based geometry videos

J Hou, LP Chau… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
This paper presents keyframe-based geometry video (KGV), a novel framework for
compressing 3-D human motion data by using geometry videos. Given a motion data …

Computing smooth quasi-geodesic distance field (QGDF) with quadratic programming

L Cao, J Zhao, J Xu, S Chen, G Liu, S Xin, Y Zhou… - Computer-Aided …, 2020 - Elsevier
Computing geodesic distances on polyhedral surfaces is an important task in digital
geometry processing. Speed and accuracy are two commonly-used measurements of …

ReSDF: Redistancing implicit surfaces using neural networks

Y Park, C hoon Song, J Hahn, M Kang - Journal of Computational Physics, 2024 - Elsevier
This paper proposes a deep-learning-based method for recovering a signed distance
function (SDF) of a given hypersurface represented by an implicit level set function. Using …