File size: 2,910 Bytes
96f6db5
6d5d667
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
4fc4d42
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
 
 
 
 
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
 
 
 
 
a8febb3
6d5d667
a8febb3
6d5d667
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
 
 
 
 
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
 
 
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
4fc4d42
a8febb3
6d5d667
a8febb3
6d5d667
a8febb3
6d5d667
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
---
language:
- en
pretty_name: Discrete Elastic Rods Simulation Dataset
tags:
- physics
- simulation
- synthetic-data
- graph-neural-networks
- gnn
- geometric-deep-learning
- physics-informed-machine-learning
- regression
- computational-physics
- deformable-objects
- discrete-elastic-rods
- dynamics
- physical-simulation
- computer-graphics
- trajectory-prediction
task_categories:
- graph-ml
- time-series-forecasting
task_ids:
- multivariate-time-series-forecasting
size_categories:
- 1M<n<10M
license: apache-2.0
---

# Discrete Elastic Rods Simulation Dataset

## Dataset Description

This dataset contains synthetic data generated from Discrete Elastic Rods (DER) simulations, a physical model used to represent deformable slender structures such as hair strands, ropes, cables, and elastic fibers.

The dataset was generated frame-by-frame during physical simulations and stores geometric, kinematic, and dynamic properties for each rod vertex.

The primary objective of this dataset is to support machine learning research involving:

- Graph Neural Networks (GNNs)
- Physics-informed learning
- Dynamics prediction
- Physical regression
- Deformable object simulation

Each sample corresponds to a vertex at a specific simulation frame.

---

## Dataset Structure

The dataset is divided into three splits:

| Split | Samples |
|---|---|
| Train | 4,265,580 |
| Validation | 376,200 |
| Test | 460,920 |

---

## Features

| Feature | Description |
|---|---|
| `frame` | Simulation frame index |
| `strand` | Rod/strand identifier |
| `vertex_id` | Vertex identifier |
| `pos_x/y/z` | Vertex position |
| `vel_x/y/z` | Vertex velocity |
| `force_x/y/z` | Applied forces |
| `curvature` | Local curvature |
| `torsion` | Local torsion |
| `prev_segment_direction` | Previous segment direction vector |
| `next_segment_direction` | Next segment direction vector |
| `prev_segment_length` | Previous segment length |
| `next_segment_length` | Next segment length |
| `boundary` | Boundary condition information |

---

## Data Generation

The dataset was generated using a Discrete Elastic Rods simulation environment with randomized physical parameters and dynamic interactions.

The simulations include temporal evolution of elastic rods under physical constraints and external/internal forces.

---

## Intended Use

This dataset is intended for:

- Training Graph Neural Networks
- Physics regression tasks
- Simulation approximation
- Temporal dynamics prediction
- Deformable object learning

---

## Limitations

- The dataset is fully synthetic.
- Results may not perfectly generalize to real-world rod dynamics.
- Physical behavior depends on the simulation assumptions and parameter ranges.

---

## License

- apache-2.0

---

## Citation

```bibtex
@dataset{der_simulation_dataset,
  title={Discrete Elastic Rods Simulation Dataset},
  author={Samuel Ferreira Santos},
  year={2026}
}
```