A control problem in medical image processing

医学图像处理中的控制问题

• 批准号: 18078967
• 负责人: Professor Dr. Peter Maaß
• 金额: --
• 依托单位: Zentrum für Technomathematik (ZeTeM)
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2005
• 资助国家: 德国
• 起止时间: 2004-12-31 至 2008-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/18078967?language=en
• 关键词: control; problem; medical; image; processing

Parabolic control problems for PDEs can be used to model a variety of image processing applications. In this project we investigate a particular prototypical task in medical imaging: The diagnosis of breast cancer at an early stage relies on an appropriate examination of mammography images, i. e. X-ray scans of the breast. The medical evaluation process is divided into a very short recognition phase and a verification phase. During the verification phase the expert shifts forwards ( close up ) and backwards ( normal ), thereby alternating in examining small details (potential calcifications, small tumors), and in catching an overall impression of the location of critical patterns within the general morphology of the organ. The verification phase can be supported by switching between different fine or coarse scale presentations of the image for close up or normal subphases. The mathematical model leads to a parabolic control problem. In this project we want to combine ¿ results from regularization theory for inverse problems, ¿ some recent results in image processing for denoising with 1-homogeneous penalty terms in order to investigate this parabolic control problem in image processing (mammography screening, X-ray images). We work together with our cooperation partners from MeVis/CeVis and the Mammograhie Screening Bremen-project.

偏微分方程的抛物控制问题可以用来模拟各种图像处理应用。在这个项目中，我们研究了医学成像中的一个特定的原型任务：早期乳腺癌的诊断依赖于对乳房X线摄影图像的适当检查，即。e.乳房的X光扫描。医疗评估过程分为很短的识别阶段和验证阶段。在验证阶段，专家向前（特写）和向后（正常）移动，从而交替检查小细节（潜在的钙化，小肿瘤），并在器官的一般形态中捕捉关键模式位置的整体印象。可以通过在用于特写或正常子阶段的图像的不同精细或粗略尺度呈现之间切换来支持验证阶段。数学模型导致抛物控制问题。在这个项目中，我们想联合收割机从正则化理论的逆问题，<$<$最近的一些结果，在图像处理中去噪与1-齐次惩罚条款，以研究这种抛物线控制问题，在图像处理（乳房X射线摄影筛查，X射线图像）。我们与来自MeVis/CeVis和不来梅乳房X线摄影筛查项目的合作伙伴一起工作。