A method for reconstructing a measured sound field using the Kirchhoff-Helmholtz boundary integral equation is presented. L4-norm ball shape was chosen for the boundary, which is smooth and more suitable for data measured along the rectangular coordinate than the circle. ADMM (alternating direction method of multipliers) was employed to solve the initial value estimation via sparsity and the norm ball constrained least squares problem. The experiment using synthetic data confirmed the effectiveness of the method.
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