Adaptive Iteration Stopping Criterion for AMSS Equations
Changle Li, Gangfeng Liu, Jie Zhao
Available Online August 2016.
- https://doi.org/10.2991/cset-16.2016.2How to use a DOI?
- Partial differential equation, AMSS equation, cross entropy, image filter, surface defects
- When AMSS (Affine Morphological Scale Space) operator is applied in image filtering, the scale parameter has great impact on the filtering results. In order to determine the parameters more precisely, this paper analyzed affine invariance properties and classical invariance properties of AMSS operator using the affine transform theory And the numerical solution of AMSS equation is realized with the finite difference method . Based on the cross entropy theory, the forms of cross entropy under the two situations of standard image and nonstandard image were analyzed. The relationship between cross entropy and the scale parameter was explored in both cases, and the AMSS equation's iteration stopping time is determined based on this criterion. Experiment shows that the satisfactory smooth images can be achieved based on the method of cross entropy iteration stopping, under the circumstances of both standard and nonstandard images.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Changle Li AU - Gangfeng Liu AU - Jie Zhao PY - 2016/08 DA - 2016/08 TI - Adaptive Iteration Stopping Criterion for AMSS Equations PB - Atlantis Press SP - 7 EP - 10 SN - 2352-538X UR - https://doi.org/10.2991/cset-16.2016.2 DO - https://doi.org/10.2991/cset-16.2016.2 ID - Li2016/08 ER -