Expansion Cones Dataset for Robust Tetrahedral Mapping Evaluation

This record stores the dataset used by the "Expansion Cones" paper.This paper presents a volumetric mapping method called Shrink-And-Expand (SAE for short).Its robustness was evaluated by mapping ~3'000 ball-topology meshes to 4 different target boundaries (spherical, tetrahedral, "stiff" tetrahedral and random star-shaped). Other tetrahedral mapping methods can be evaluated by using the rest meshes and either of the target boundaries. The record is structured as follows: `ball_topology_tet_wild_ovm_format`: all input meshes in their original shapes, in .ovm format. These consists of the TetWild dataset, restricted to ball-topology meshes. If you need to convert the meshes to another format, you can use Martin Heistermann's fork of meshio.NOTE: Those meshes were pre-processed by splitting all interior edges connecting two boundary vertices and all interior faces connecting three boundary vertices. This was done to satisfy the prerequisites of our method. `XXX_boundary_conditions.zip`: boundary conditions for the 4 boundary shapes: tetrahedral, "stiff" tetrahedral, ball and random star-shape. Please read the related paper for more details about the boundary types.Those boundary conditions are stored as `.txt` files, each containing a list of boundary vertices indices, along with their prescribed positions. The other archives contain data used to compare SAE with two other volumetric mapping methods called Total Lifted Content (TLC) and FoldOver-Free (FOF) `SAE_results/expansion_data`: All `.json` files corresponding to executions of our method (SAE) on those meshes. `SAE_results/quality_stats`: conformal and volumetric distortion values for _all_ cells of _all_ meshes. `TLC_FOF_results`: For each mesh and each competitor method (and each boundary map), there are 1 to 3 files, depending on the results of running those methods. `TLC/FOF_timing_s.txt` gives the number of seconds it took to run `TLC/FOF_stats.txt` stores the following data: `[mesh name, #vertices, #edges, #faces, #cells, #degenerate cells after running the method, #flipped cells after running the method]`. This file only exists if the method terminated within the 12hours time limit. `TLC/FOF_quality_stats.txt` lists the conformal and volumetric distortion of each individual cell in the resulting map produced by the competitor methods (one line per cell), This file only exists if the method produced a valid map. NOTE: If you want to download the codomain meshes, with prescribed boundary positions already set. you can find them in the v2.0 of this same dataset.本数据集存储了《扩张锥》（Expansion Cones）论文所使用的实验数据集。该论文提出了一种名为收缩-扩张（Shrink-And-Expand，简称SAE）的体映射方法。为验证其鲁棒性，作者将约3000个球拓扑网格映射至4种不同的目标边界：球面、四面体、“刚性”四面体以及随机星形。研究人员可通过剩余网格与任意一种目标边界，对其他四面体映射方法进行性能评估。 本数据集的结构如下： `ball_topology_tet_wild_ovm_format`：存储所有原始形状的输入网格，格式为.ovm，均属于经筛选的TetWild数据集的球拓扑网格子集。若需将网格转换为其他格式，可使用Martin Heistermann开发的meshio分支。注意：这些网格已完成预处理：拆分所有连接两个边界顶点的内部边，以及所有连接三个边界顶点的内部面，以满足本方法的前置条件。 `XXX_boundary_conditions.zip`：包含4种边界形状的边界条件文件，分别为四面体、“刚性”四面体、球面与随机星形。关于边界类型的详细说明，请参阅相关论文。边界条件以`.txt`格式存储，每个文件包含边界顶点索引列表及其指定位置。 其余存档包含用于将SAE与另外两种体映射方法——Total Lifted Content（简称TLC）与FoldOver-Free（简称FOF）——进行对比的实验数据： - `SAE_results/expansion_data`：存储本方法（SAE）在上述网格上运行所生成的全部`.json`结果文件。 - `SAE_results/quality_stats`：存储所有网格的全部单元的共形畸变与体积畸变数值。 - `TLC_FOF_results`：针对每个网格与每种对比方法（及每种边界映射），根据方法运行结果的不同，会生成1至3个文件： - `TLC/FOF_timing_s.txt`：记录该方法的运行耗时（单位：秒）。 - `TLC/FOF_stats.txt`：存储如下数据：`[网格名称，顶点数，边数，面数，单元数，方法运行后退化单元数，方法运行后翻转单元数]`。该文件仅在方法在12小时时限内完成运行时生成。 - `TLC/FOF_quality_stats.txt`：列出对比方法生成的映射结果中每个独立单元的共形畸变与体积畸变（每个单元对应一行）。该文件仅在方法生成有效映射时生成。 注意：若需下载已预设指定边界位置的陪域网格，可在本数据集的v2.0版本中获取。