图 书 馆
奇异扩散方程：极小随机解Singular Diffusion Equations: Minimally Stochastic Solution Schemes |
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| 课程网址: | http://videolectures.net/acs07_burgeth_sde/ |
| 主讲教师: | Bernhard Burgeth |
| 开课单位: | 萨尔兰大学 |
| 开课时间: | 2007-12-17 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | Total variation (TV) and balanced forward-backward (BFB) diffusion are popular examples of singular diffusion processes: Finite extinction time, the experimentally observed tendency to create piecewise constant regions, and the absence of parameters makes them very interesting image processing tools. However, their appropriate numerical treatment is still a challenge. In this contribution a minimally stochastic approach to the underlying singular equations is presented. It relies on analytical solutions of two-pixel signals and stochastic rounding. This introduces regularisation via integer arithmetic and does not require any limits on the diffusivity. Experiments demonstrate the favourable performance of the proposed probabilistic method. |
| 关 键 词: | 奇异扩散方程; 随机解 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2019-11-01：lxf |
| 阅读次数: | 63 |