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相关概念视频

Vector Algebra: Graphical Method01:10

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Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
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Application of Deep Learning-Based Medical Image Segmentation via Orbital Computed Tomography
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一个模糊的软平面图形,在图像分割中应用.

Waheed Ahmad Khan1, Arsh E Mah Niaz2, Trung Tuan Nguyen3

  • 1Division of Science and Technology, Department of Mathematics, University of Education Lahore, Attock Campus, Attock, Punjab, 43600, Pakistan. sirwak2003@yahoo.com.

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本研究引入了模糊软平面图 (FSPG) 来建模平面图中的不确定性,证明了比传统模糊平面图模型更优越的图像细分性能.

关键词:
模糊柔软的双重图形.模糊的软图形.模糊柔软的多图形.模糊软平面图形的平面图形.图像收缩 图像收缩

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科学领域:

  • 图形理论 图形理论
  • 图像处理 图像处理
  • 模糊的集合理论 模糊的集合理论

背景情况:

  • 模糊集和软集是模拟不确定性的数学工具.
  • 平面图在各种应用中使用,但与模糊性作斗争.
  • 结合模糊和软集合理论可以增强对不确定的数据的图形建模.

研究的目的:

  • 引入和定义模糊软平面图 (FSPG).
  • 探索FSPG的特征和属性,包括双图和边缘/面部类型.
  • 展示FSPG在图像处理中的应用,特别是图像细分和表示.

主要方法:

  • 模糊软多图 (FSMGs) 的定义及其交叉值.
  • 模糊软平面图 (FSPG) 的介绍和描述.
  • 对双重FSPG,各种边缘类型 (有效,相当,不相当) 和面部类型 (模糊软,强,弱) 的分析.
  • 库拉托夫斯基定理和FSPG的比较分析.
  • 开发一种用于将清晰图像转换为模糊软图像金字塔的算法.
  • 基于FSPG的模型与传统的模糊平面图 (FPG) 模型对图像分割的比较性能评估.

主要成果:

  • 建立了模糊软平面图 (FSPG) 的关键术语和概念.
  • 标志性FSPG,包括它们的双面,边缘和面.
  • 开发并应用基于FSPG的图像细分模型,优于传统的FPG模型.
  • 成功地将清晰的图像转换为模糊的软图像金字塔.

结论:

  • 模糊软平面图 (FSPG) 提供了一个强大的框架来处理平面图理论中的模糊性和不确定性.
  • 与现有方法相比,拟议的FSPG模型在图像细分和表示方面具有显著的优势.
  • 这项研究为将先进的图形理论概念应用于复杂的图像处理任务开辟了新的途径.