群体机械道具表演行为建模与仿真研究

doi:10.16182/j.issn1004731x.joss.23-1065

摘要/Abstract

摘要：

在舞台表演中，机械道具数量逐渐增多，给其控制和设计带来了巨大挑战，每次创意修改均需重新彩排，导致了效率低下和对创意修改的敏感性。为解决这些问题，提出了一种群体机械道具的表演行为模型，通过质心生长与三维线性插值生成空间状态，并利用梯度下降在时间维优化状态。通过构建三维仿真实验，对模型中的群体机械道具表演行为规划与优化进行分析，使用相似性评估仿真效果与真实表演效果，说明该模型在真实表演中的有效性，并将其应用于一次表演中，证明了该模型的可行性与先进性。

关键词: 机械道具, 群体控制, 控制系统, 舞台表演, 表演仿真

Abstract:

In stage performances, the increasing number of mechanical props poses significant challenges to their control and design. Each creative modification requires a complete rehearsal, resulting in low efficiency and sensitivity to creative changes. To address these issues, a model for the collective performance behavior of mechanical props is proposed. It utilizes centroid growth and 3D linear interpolation to generate spatial states and optimizes them in the temporal dimension using gradient descent. Through the construction of 3D simulation experiments, the planning and optimization of collective mechanical prop performance behavior in the model are analyzed. Similarity evaluation is used to compare the simulation results with real performance effects, demonstrating the effectiveness of the model in real-world performances. The model is applied in a performance proving its feasibility and advancement.

Key words: mechanical props, crowd control, control system, stage performance, performance simulation

中图分类号:

TP391.9

何莲,黄可翔,闫大鹏等 . 群体机械道具表演行为建模与仿真研究[J]. 系统仿真学报, 2025, 37(1): 299-310.

He Lian,Huang Kexiang,Yan Dapeng,et al . Research on Modeling and Simulation of Collective Mechanical Props Performance Behavior[J]. Journal of System Simulation, 2025, 37(1): 299-310.

图/表 15

图1

图2

图3

图4

图5

图6

图7

图8

图9

表1

局部群体道具不同优化次数策略的速度平滑度

平滑度	不优化	1次优化	2次优化	3次优化
$σ α$	7.66	2.26	0.48	0.65
$α 1$ (t=3s)	20.33	3.00	4.33	4.00
$α 2$ (t=3s)	10.67	3.00	3.67	4.33
$α 3$ (t=3s)	15.67	4.00	3.67	3.67
$α 4$ (t=3s)	3.67	7.33	2.67	2.67
$α 5$ (t=3s)	0	6.67	4.00	3.67
$α 6$ (t=3s)	0	3.33	3.33	3.00
$α 7$ (t=3s)	0	1.67	4.00	4.67
$α 8$ (t=3s)	0	0	3.33	3.00

表1

图10

表2

全局群体道具不同优化次数策略的速度平滑度

平滑度	不优化	1次优化	2次优化	3次优化
$σ α$	4.50	1.24	0.37	0.44
$α 1$ (t=3s)	10.33	3.67	3.33	3.00
$α 2$ (t=3s)	7.67	2.33	3.67	3.67
$α 3$ (t=3s)	5.33	3.67	3.67	3.00
$α 4$ (t=3s)	12.00	1.33	3.00	4.00
$α 5$ (t=3s)	6.67	5.67	3.67	3.00
$α 6$ (t=3s)	0	4.33	2.67	3.67
$α 7$ (t=3s)	0	2.67	3.67	3.67
$α 8$ (t=3s)	0	3.00	3.00	2.67

表2

图11

表3

图12

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关键帧编号	SSIM	NMSE
1	0.82	0.028
2	0.87	0.043
3	0.91	0.031
4	0.88	0.038
5	0.90	0.029
6	0.85	0.025

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