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OptiTrap : Optimal Trap Trajectories for Acoustic Levitation Displays

Title data

Paneva, Viktorija ; Fleig, Arthur ; Martínez Plasencia, Diego ; Faulwasser, Timm ; Müller, Jörg:
OptiTrap : Optimal Trap Trajectories for Acoustic Levitation Displays.
In: ACM Transactions on Graphics. (2022) .
ISSN 0730-0301
DOI: https://doi.org/10.1145/3517746

Project information

Project financing: Andere
European Union’s Horizon 2020 research and innovation programme under grant agreement 737087 (Levitate)
AHRC UK-China Research-Industry Creative Partnerships (AH/T01136X/2)

Abstract in another language

Acoustic levitation has recently demonstrated the ability to create volumetric content by trapping and quickly moving particles along reference paths to reveal shapes in mid-air. However, the problem of specifying physically feasible trap trajectories to display desired shapes remains unsolved. Even if only the final shape is of interest to the content creator, the trap trajectories need to determine where and when the traps need to be, for the particle to reveal the intended shape. We propose OptiTrap, the first structured numerical approach to compute trap trajectories for acoustic levitation displays. Our approach generates trap trajectories that are physically feasible and nearly time-optimal, and reveal generic mid-air shapes, given only a reference path (i.e., a shape with no time information). We provide a multi-dimensional model of the acoustic forces around a trap to model the trap-particle system dynamics and compute optimal trap trajectories by formulating and solving a non-linear path following problem. We formulate our approach and evaluate it, demonstrating how OptiTrap consistently produces feasible and nearly optimal paths, with increases in size, frequency, and accuracy of the shapes rendered, allowing us to demonstrate larger and more complex shapes than ever shown to date.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: volumetric displays; ultrasonic levitation; path following; phased arrays of transducers; minimum time problems
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Computer Science > Chair Applied Computer Science VIII > Chair Applied Computer Science VIII - Univ.-Prof. Dr. Jörg Müller
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
600 Technology, medicine, applied sciences > 600 Technology
Date Deposited: 15 Mar 2022 08:38
Last Modified: 15 Mar 2022 08:38
URI: https://eref.uni-bayreuth.de/id/eprint/68917