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Related Concept Videos

Ellipses01:30

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An ellipse is formed when a right circular cone is intersected by an inclined plane that does not cut through its base. This intersection yields a closed, symmetric curve characterized by distinctive geometric properties. Most notably, an ellipse is defined as the collection of all points in a plane for which the combined distances to two fixed points—called the foci—remain constant.The ellipse features two principal axes: the major and the minor axes. The major axis is the longest diameter,...
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Quantifying Intermembrane Distances with Serial Image Dilations
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Published on: September 28, 2018

Fitting multiple connected ellipses to an image silhouette hierarchically.

Richard Yi Da Xu1, Michael Kemp

  • 1School of Computing and Communications, Universityof Technology, Sydney, NSW 2007, Australia. yida.xu@uts.edu.au

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|March 11, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a robust algorithm for fitting connected ellipses to image silhouettes. It overcomes common issues like sensitivity to initial guesses and incorrect solutions, enabling accurate shape modeling.

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Area of Science:

  • Computer Vision
  • Image Analysis
  • Geometric Modeling

Background:

  • Existing ellipse fitting algorithms are sensitive to initial guesses and may converge to suboptimal solutions.
  • Simultaneous optimization of the entire ellipse structure can lead to inaccuracies.

Purpose of the Study:

  • To develop a robust algorithm for fitting connected ellipses to image silhouettes.
  • To overcome limitations of existing methods, ensuring accurate and reliable model fitting.

Main Methods:

  • A hierarchical approach is employed, refining ellipse shapes in stages.
  • Unconstrained Expectation-Maximization (EM) is used for initial guess refinement, ignoring connections temporarily.
  • Linear reconnection and Levenberg-Marquardt optimization are applied for fine-tuning ellipse shapes and connections.

Main Results:

  • The algorithm robustly fits complex ellipse structures to corresponding shapes.
  • It demonstrates improved accuracy and reliability compared to existing methods.
  • Successful application in various image analysis scenarios was shown.

Conclusions:

  • The proposed hierarchical algorithm effectively fits connected ellipses to image silhouettes.
  • It provides a more stable and accurate solution by addressing limitations of previous approaches.
  • This method offers a reliable tool for shape modeling and analysis in computer vision.