Discrete Laplace-Beltrami operators and their convergence
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Mixed finite element methods for geometric modeling using general fourth order geometric flows
Computer Aided Geometric Design
Discrete Laplace--Beltrami operators and their convergence
Computer Aided Geometric Design
G1 surface modelling using fourth order geometric flows
Computer-Aided Design
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
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We propose the use of surfac esubdivision as adaptive and higher-order boundary elements for solving a Helmholtz partial differential equation to calculate accurate acoustics scattering on arbitrary manifolds. Such acoustic transfer functions prove useful for designing and tuning hearing aid devices for hearing impaired individuals. The number of unknowns of the discretized linear system is the same as that in a linear element approach. Our results show that the accuracy of the subdivision approach is much better than that of the line ar element approach.