Publications
- Oddvar Christiansen, Johan Lie,
and Bernhard Burgeth.
A dual operator algebraic method for regularization of matrix valued images.
(Preprint), 2007.
- Johan Lie, Bernhard Burgeth, and Oddvar
Christiansen.
An operator algebraic inverse scale space method for matrix images.
(Preprint), 2007.
- Ørjan Bergmann, Oddvar
Christiansen, Johan Lie, and Arvid Lundervold.
Shape-adaptive DCT for denoising of tensor valued 3D images.
Accepted to appear in Journal of Digital Imaging, 2007.
- Oddvar Christiansen, Tin-Man
Lee, Johan Lie, Usha Sinha, and Tony F. Chan.
Total
variation regularization of matrix valued images.
International Journal of Biomedical Imaging. Special issue on Mathematics
in Biomedical Imaging, Vol: 2007, 2007.
- Johan Lie and Jan M. Nordbotten.
Inverse scale spaces for
nonlinear regularization.
Journal of Mathematical Imaging and Vision, 27(1):41–50, 2007.
- Johan Lie, Marius Lysaker, and Xue-Cheng
Tai.
A binary level set model
and some applications to Mumford-Shah image segmentation.
IEEE Transactions on Image Processing, 15(5):1171–1181, 2006.
- Johan Lie, Marius Lysaker, and Xue-Cheng
Tai.
A
variant of the level set method and applications to image segmentation.
AMS Mathematics of Computation, 75:1155–1174, 2006.
- Johan Lie, Marius Lysaker, and Xue-Cheng
Tai.
Piecewise constant level set
methods and image segmentation.
In Scale Space and PDE Methods in Computer Vision: 5th International
Conference, Scale-Space 2005, volume 3459 of Lecture Notes in
Computer Science. Springer-Verlag GmbH, 2005.
Theses