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Morse-theoretic topological modeling of 3D objects and applications

Morse-theoretic topological modeling of 3D objects and applications
3D 对象的莫尔斯理论拓扑建模和应用
批准号:
311656-2008
负责人:
BenHamza, Abdessamad
金额:
$1.46万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2011
资助国家:
加拿大
项目状态:
已结题
起止时间:
2011-01-01 至 2012-12-31

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中文摘要
翻译
三维物体识别在计算机图形学和多媒体通信领域的重要性日益增加,因为不进行三维物体识别就难以有效地处理信息。三维对象由几何和拓扑信息组成,它们的紧凑表示是实现各种计算机视觉和图形应用的重要一步。用于研究三维物体拓扑结构的关键数学工具之一是莫尔斯理论,它研究空间上的函数与空间形状之间的关系。
英文摘要
The importance of 3D object recognition is increasing rapidly in the field of computer graphics and multimedia communication due to the difficulty in processing information efficiently without its recognition. 3D objects consist of geometric and topological information, and their compact representation is an important step towards a variety of computer vision and graphics applications. One of the key mathematical tools used to study the topology of 3D objects is Morse theory, which studies the relationship between functions on a space and the shape of the space.
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Learning Graph Representations for Intelligent Visual Computing
  • 批准号:
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  • 项目类别:
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  • 资助金额:
    $2.04万
  • 财政年份:
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  • 依托单位:
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  • 项目类别:
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  • 资助金额:
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  • 负责人:
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  • 依托单位:
Learning Graph Representations for Intelligent Visual Computing
  • 批准号:
    RGPIN-2018-06702
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $2.04万
  • 财政年份:
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    BenHamza, Abdessamad
  • 依托单位:
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  • 批准号:
    RGPIN-2018-06702
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $2.04万
  • 财政年份:
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  • 负责人:
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  • 依托单位:
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