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September 5, 2025Inverse Problems

Hearing the Shape of a Cuboid Room Using Sparse Measure Recovery

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This approach uncovers the relationship between acoustic signals and geometry in cuboid rooms, suggesting new solutions for inverse problems.

The reconstruction of a cuboid room was achieved through analysis of acoustic signals, enhancing understanding of geometric influence.
Numerical examples verified the efficiency of the proposed algorithm, demonstrating significant improvements in reconstruction fidelity.
The optimization problem was modeled using convex relaxation techniques, allowing for effective identification of image sources.
Insights gained from this study may aid in advancements within acoustics and related geometric problems in real-world applications.

Deleforge et al. (2025) studied this question.

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This approach uncovers the relationship between acoustic signals and geometry in cuboid rooms, suggesting new solutions for inverse problems.