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New variational computational methods for modeling dual spaces of distributions, decomposition of functions, oscillations, and inverse problems in image analysis

New variational computational methods for modeling dual spaces of distributions, decomposition of functions, oscillations, and inverse problems in image analysis
用于对图像分析中的分布双空间、函数分解、振荡和反演问题进行建模的新变分计算方法
批准号:
0714945
负责人:
Luminita Vese
金额:
$59.53万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2007
资助国家:
美国
项目状态:
已结题
起止时间:
2007-09-01 至 2012-08-31

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中文摘要
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英文摘要
The investigators will study new computational techniques withapplications to inverse problems and image analysis. They will seek newmethods that combine variational arguments with ideas from computationalharmonic analysis and partial differential equations in order to overcomelimitations of existing methods. The research will have three objectives:propose new models for cartoon and texture separation in images by workingwith spaces of distributions; propose completely new techniques formultiscale hierarchical decomposition of images; propose efficientalgorithms for solving inverse problems.From the proposed research and educational program, computational mathematics, image processing, as well as more general areas of science andengineering will benefit. Applications include image analysis, medicalimaging, satellite imaging, material science, and terrain data analysis,surveillance and inverse problems.
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Computational Methods for Applications in Imaging and Remote Sensing
Program on Inverse Problems and Imaging at the Fields Institute in 2012
Functional Analysis and Computational Methods in Imaging, Materials, and Atmospheric Sciences
  • 批准号:
    1217239
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $24.0万
  • 财政年份:
    2012
  • 负责人:
    Luminita Vese
  • 依托单位:
ITR/AP: Variational-PDE Models Using Level Sets for Computer Vision
  • 批准号:
    0113439
  • 项目类别:
    Standard Grant
  • 资助金额:
    $21.02万
  • 财政年份:
    2001
  • 负责人:
    Luminita Vese
  • 依托单位:
海外基金