Abstract
Behavioral differences between continuous anisotropic diffusion and its discrete counterpart is presented, with an emphasis on backward diffusion. We found that a continuous backward diffusion is rotation-invariant, but may have stability problem. Its discrete counterpart, however, is rotation-variant, and is stable. It forms step edges around boundaries of regions identified by the convexity of the image intensity function, but edges aligned with the x and y axis may look smooth. And this edge formation process is susceptible to observational and numerical noise which may induce false edges or may alter the shape of the edges.
Original language | English (US) |
---|---|
Title of host publication | IEEE International Conference on Image Processing |
Publisher | IEEE Comp Soc |
Pages | 249-253 |
Number of pages | 5 |
Volume | 3 |
State | Published - Dec 1 1998 |
Event | Proceedings of the 1998 International Conference on Image Processing, ICIP. Part 2 (of 3) - Chicago, IL, USA Duration: Oct 4 1998 → Oct 7 1998 |
Other
Other | Proceedings of the 1998 International Conference on Image Processing, ICIP. Part 2 (of 3) |
---|---|
City | Chicago, IL, USA |
Period | 10/4/98 → 10/7/98 |