A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration
A class of nonlinear fourth-order telegraph-diffusion equations (TDE) for image restoration are proposed based on fourth-order TDE and bilateral filtering. The proposed model enjoys the benefits of both fo...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/240370 |
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| Summary: | A class of nonlinear
fourth-order telegraph-diffusion equations (TDE)
for image restoration are proposed based on
fourth-order TDE and bilateral filtering. The
proposed model enjoys the benefits of both
fourth-order TDE and bilateral filtering, which
is not only edge preserving and robust to noise
but also avoids the staircase effects. The
existence, uniqueness, and stability of the
solution for our model are proved. Experiment
results show the effectiveness of the proposed
model and demonstrate its superiority to the
existing models. |
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| ISSN: | 1110-757X 1687-0042 |