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International Conference on Discrete Geometry and Mathematical Morphology

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1.Preface

机译：前言
- 作者：Filip Malmberg;Joakim Lindblad;Natasa Sladoje
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
2.Split Trees - A Unifying Model for Many Important Random Trees of Logarithmic Height: A Brief Survey

机译：分裂树 - 对数高度的许多重要随机树的统一模型：简要调查
- 作者：Cecilia Holmgren
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Random trees;
- Split trees;
- Sorting algorithms;
- Quicksort;
- Binary search tree;
- Renewal theory;
- Contraction method;
- Limit laws;
- Size;
- Depths;
- Height;
- Total path length;
- Inversions;
- Cuttings;
- Bond percolation;
3.Fast Pattern Spectra Using Tree Representation of the Image for Patch Retrieval

机译：使用图像的树表示的快速图案光谱用于修补程序检索
- 作者：Behzad Mirmahboub;Jerome More;David Youssefi;Alain Giros;Francois Merciol;Sebastien Lefevre
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Content based image retrieval;
- Patch retrieval;
- Tree representation;
- Pattern spectra;
- Large satellite images;
4.Distance-Oriented Surface Skeletonization on the Face-Centered Cubic Grid

机译：面向距离的表面骨架骨骼骨架上的立方体网格
- 作者：Gabor Karai
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- FCC grid;
- Distance transform;
- Skeletonization;
- Thinning;
5.Power Sum Polynomials in a Discrete Tomography Perspective

机译：离散断层扫描角度的功率和多项式
- 作者：Silvia M. C. Pagani;Silvia Pianta
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Discrete tomography;
- Ghost;
- Multiset sum;
- Power sum polynomial;
- Projective plane;
6.Stability of the Tree of Shapes to Additive Noise

机译：形状树的稳定性与附加噪声
- 作者：Nicolas Boutry;Guillaume Tochon
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Tree of shapes;
- Additive noise;
- Stability;
- Tree distance;
7.Graph-Based Supervoxel Computation from Iterative Spanning Forest

机译：从迭代跨越森林的基于图的超氧化素计算
- 作者：Carolina Jeronimo;Felipe Belem;Sarah A. Carneiro;Zenilton K. G. Patrocinio Jr.;Laurent Najman;Alexandre Falcao;Silvio Jamil F. Guimaraes
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Graph-based method;
- Supervoxel computation;
- Iterative spanning forest;
8.On Some Associations Between Mathematical Morphology and Artificial Intelligence

机译：论数学形态与人工智能之间的一些关联
- 作者：Isabelle Bloch;Samy Blusseau;Ramon Pino Perez;Elodie Puybareau;Guillaume Tochon
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Mathematical morphology;
- Artificial intelligence;
- Lattice;
- Logics;
- Spatial reasoning;
- Fuzzy sets;
- Neural networks;
- Deep learning;
9.Sparse Approximate Solutions to Max-Plus Equations

机译：MAX-PLUS方程稀疏近似解
- 作者：Nikos Tsilivis;Anastasios Tsiamis;Petros Maragos
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Sparsity;
- Max-plus algebra;
- Submodular optimization;
10.On Topological Analysis of Cells Organization in Biological Images

机译：关于生物图像细胞组织的拓扑分析
- 作者：Maria-Jose Jimenez
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Topological data analysis;
- Persistent homology;
- Epithelial organization;
11.A New Matching Algorithm Between Trees of Shapes and Its Application to Brain Tumor Segmentation

机译：一种新的形状与脑肿瘤分割应用的新匹配算法及其应用
- 作者：Nicolas Boutry;Thierry Geraud
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Mathematical morphology;
- Tree of shape;
- Brain tumor segmentation;
12.Watershed-Based Attribute Profiles for Pixel Classification of Remote Sensing Data

机译：基于流域的遥感数据的像素分类的基于流域的属性配置文件
- 作者：Deise Santana Maia;Minh-Tan Pham;Sebastien Lefevre
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
13.Body Centered Cubic Grid - Coordinate System and Discrete Analytical Plane Definition

机译：身体中心立方网格 - 坐标系和离散分析平面定义
- 作者：Lidija Comic;Rita Zrour;Gaeelle Largeteau-Skapin;Ranita Biswas;Eric Andres
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Discrete geometry;
- BCC grid;
- 3D coordinate system;
- Discrete analytical plane;
14.Shear Based Bijective Digital Rotation in Hexagonal Grids

机译：六角形网格中的剪切的自由度数字旋转
- 作者：Eric Andres;Gaeelle Largeteau-Skapin;Rita Zrour
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Hexagonal grid;
- Digital rotation;
- Bijective digital rotation;
- Shear transform;
15.Going Beyond p-convolutions to Learn Grayscale Morphological Operators

机译：超越P-Compolutions学习灰度形态运算符
- 作者：Alexandre Kirszenberg;Guillaume Tochon;Elodie Puybareau;Jesus Angulo
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Morphological layer;
- p-convolution;
- Counter-harmonic mean;
- Grayscale mathematical morphology;
16.Eigenfunctions of Ultrametric Morphological Openings and Closings

机译：超微功能的特征功能和关闭
- 作者：Jesus Angulo
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Ultrametric space;
- Ultrametric image processing;
- (min;
- max)-analysis;
- Morphological semigroups;
17.Combining Deep Learning and Mathematical Morphology for Historical Map Segmentation

机译：结合深度学习和数学形态学的历史地图分割
- 作者：Yizi Chen;Edwin Carlinet;Joseph Chazalon;Clement Mallet;Bertrand Dumenieu;Julien Perret
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Deep learning;
- Convolutional neural networks;
- Mathematical morphology;
- Historical map segmentation;
- Object extraction;
18.Digital Convex + Unimodular Mapping = 8-Connected (All Points but One 4-Connected)

机译：数字凸+单模映射= 8连接（所有点，但一个4连接）
- 作者：Loiec Crombez
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Digital geometry;
- Convex;
- Unimodular affine transformation;
- 4-connected;
- 8-connected;
- Lattice diameter;
19.On the Reconstruction of 3-Uniform Hypergraphs from Step-Two Degree Sequences

机译：关于从步骤 - 二度序列的3均匀图的重建
- 作者：Andrea Frosini;Giulia Palma;Simone Rinaldi
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- 3-Uniform hypergraphs;
- Degree sequences;
- Reconstruction problem;
20.A Maximum-Flow Model for Digital Elastica Shape Optimization

机译：数字Elasticala形状优化的最大流量模型
- 作者：Daniel Martins Antunes;Jacques-Olivier Lachaud;Hugues Talbot
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Multigrid convergence;
- Digital estimators;
- Curvature;
- Discrete optimization;
21.Measuring the Irregularity of Vector-Valued Morphological Operators Using Wasserstein Metric

机译：使用Wassersein公制测量载体值的形态算子的不规则性
- 作者：Marcos Eduardo Valle;Samuel Francisco;Marco Aurelio Granero;Santiago Velasco-Forero
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Mathematical morphology;
- Vector-valued images;
- Total order;
- Irregularity issue;
- Optimal transportation;
22.Completions, Perforations and Fillings

机译：完成，穿孔和填充物
- 作者：Gilles Bertrand
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Combinatorial topology;
- Simple homotopy;
- Contractability;
- Collapse;
- Completions;
23.Homotopic Digital Rigid Motion: An Optimization Approach on Cellular Complexes

机译：同型数字刚性运动：细胞复合物上的优化方法
- 作者：Nicolas Passat;Phuc Ngo;Yukiko Kenmochi
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Rigid motions;
- Cartesian grid;
- Homotopy type;
- Binary images;
- Cubical complexes;
- Cellular complexes;
24.An Isometry Classification of Periodic Point Sets

机译：周期点集的等距分类
- 作者：Olga Anosova;Vitaliy Kurlin
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Lattice;
- Periodic set;
- Isometry invariant;
- Classification;
25.Digital Straight Segment Filter for Geometric Description

机译：几何描述数字直线段过滤器
- 作者：Remi Decelle;Phuc Ngo;Isabelle Debled-Rennesson;Frederic Mothe;Fleur Longuetaud
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Farey sequences;
- Stern-Brocot tree;
- Digital straight segment;
- Directional filter;
- Orientation field;
- Thickness;
26.An Alternative Definition for Digital Convexity

机译：数字凸起的替代定义
- 作者：Jacques-Olivier Lachaud
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Digital geometry;
- Digital convexity;
- Simple connectedness;
- Arithmetic planes;
- Tangential cover;
- Digital surface reconstruction;
27.Properties of Unique Degree Sequences of 3-Uniform Hypergraphs

机译：3均匀超图的独特度序列的性质
- 作者：Michela Ascolese;Andrea Frosini;William Lawrence Kocay;Lama Tarsissi
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Hypergraph;
- Graphic sequence;
- Uniqueness problem;
- Analysis of algorithms;
28.Graph-Based M-tortuosity Estimation

机译：基于图形的M曲折估计
- 作者：Adam Hammoumi;Maxime Moreaud;Elsa Jolimaitre;Thibaud Chevalier;Alexey Novikov;Michaela Klotz
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Geometric tortuosity;
- Pore network partition;
- Shortest path search;
29.Some Open Questions on Morphological Operators and Representations in the Deep Learning Era: A Personal Vision

机译：关于形态学运营商的一些公开问题和深度学习时代的陈述：个人愿景
- 作者：Jesus Angulo
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
30.Automatic Forest Road Extraction from LiDAR Data of Mountainous Areas

机译：山区LIDAR数据自动森林道路提取
- 作者：Philippe Even;Phuc Ngo
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- LiDAR data;
- Road detection;
- Point cloud processing;
- DTM image analysis;
31.Locally Turn-Bounded Curves Are Quasi-Regular

机译：局部转弯曲线是准则
- 作者：Etienne Le Quentrec;Loiec Mazo;Etienne Baudrier;Mohamed Tajine
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
32.Visiting Bijective Digitized Reflections and Rotations Using Geometric Algebra

机译：使用几何代数来访问唯页数字化反射和旋转
- 作者：Stephane Breuils;Yukiko Kenmochi;Akihiro Sugimoto
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
33.Digital Geometry on the Dual of Some Semi-regular Tessellations

机译：一些半常规曲面细分的数字几何
- 作者：Mohammadreza Saadat;Benedek Nagy
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Semi-regular grids;
- Nontraditional grids;
- Digital distance;
- Dual tessellations;
- Path-based distance;
- Coordinate system;
34.On Some Geometric Aspects of the Class of hv-Convex Switching Components

机译：在HV-CONVEX切换组件类别的一些几何方面
- 作者：Paolo Dulio;Andrea Frosini
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Curl;
- Discrete tomography;
- hv-convex set;
- Polyomino;
- Projection;
- Switching-component;
- Window;
- X-ray;
35.Towards Interactive Image Segmentation by Dynamic and Iterative Spanning Forest

机译：通过动态和迭代跨越林的交互式图像分割
- 作者：Isabela Borlido Barcelos;Felipe Belem;Paulo Miranda;Alexandre Xavier Falcao;Zenilton K. G. do Patrocmio Jr.;Silvio Jamil F. Guimaraes
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Graph-based image segmentation;
- Dynamic and iterative spanning forest;
- Interactive segmentation;
36.An Algebraic Framework for Out-of-Core Hierarchical Segmentation Algorithms

机译：用于核心分层分割算法的代数框架
- 作者：Jean Cousty;Benjamin Perret;Harold Phelippeau;Stela Carneiro;Pierre Kamlay;Lilian Buzer
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
37.Fuzzy-Marker-Based Segmentation Using Hierarchies

机译：基于模糊的基于标记的分割使用层次结构
- 作者：Gabriel Barbosa da Fonseca;Benjamin Perret;Romain Negrel;Jean Cousty;Silvio Jamil F. Guimaraes
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
38.Image Segmentation by Relaxed Deep Extreme Cut with Connected Extreme Points

机译：通过连接的极端点轻松深度切割图像分割
- 作者：Debora E. C. Oliveira;Caio L. Demario;Paulo A.V. Miranda
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Deep Extreme Cut;
- Connected extreme points;
- Iterative relaxation;
39.Scale Equivariant Neural Networks with Morphological Scale-Spaces

机译：规模等级的神经网络与形态尺度空间
- 作者：Mateus Sangalli;Samy Blusseau;Santiago Velasco-Forero;Jesus Angulo
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Morphological scale-space;
- Neural networks;
- Scale equivariance;
40.An Equivalence Relation Between Morphological Dynamics and Persistent Homology in n-D

机译：N-D在形态动态与持续同源性的等价关系
- 作者：Nicolas Boutry;Thierry Geraud;Laurent Najman
- 会议名称：《International Conference on Discrete Geometry and Mathematical Morphology》 | 2021年
- Mathematical Morphology;
- Morse Theory;
- Computational homology;
- Persistent homology;
- Dynamics;
- Persistence;