Math @ Duke
Publications [#10158] of Andrea L Bertozzi
- M. Bertalmio, A. L. Bertozzi, and G. Sapiro, Navier-Stokes, Fluid Dynamics, and Image and Video Inpainting,
Proceedings of the International Conference on Computer Vision and Pattern Recognition , IEEE, Dec. 2001, Kauai, HI, volume I, pp. I-355-I362.
(last updated on 2002/02/28)
Image inpainting involves filling in part of an image or
using information from the surrounding area. Applications
include the restoration of damaged photographs and movies
and the removal
of selected objects. In this paper, we introduce a
class of automated methods for digital inpainting.
The approach uses ideas from classical fluid dynamics to
isophote lines continuously from the exterior into the
region to be inpainted.
The main idea is to think of the image intensity as a
`stream function' for a
flow. The Laplacian of the image intensity plays the role of
the vorticity of
the fluid; it is transported into
the region to be inpainted by a vector field defined by the
The resulting algorithm is designed to continue isophotes
gradient vectors at the boundary of the inpainting region.
The method is directly based on the Navier-Stokes equations
dynamics, which has the immediate advantage of
theoretical and numerical results.
This is a new approach for introducing ideas from
computational fluid dynamics into
problems in computer vision and image analysis.
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