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Updated: May 29, 2026
07:46
An Efficient and Flexible Cell Aggregation Method for 3D Spheroid Production
Published on: March 27, 2017
Decomposition of three-dimensional objects into spheres
1Department of Computer Science, Moore School of Electrical Engineering, University of Pennsylvania, Philadelphia, PA 19104.
IEEE Transactions on Pattern Analysis and Machine Intelligence
|August 27, 2011
Summary
This study introduces algorithms for converting 3D object data between surface and volume representations, enabling better graphical display and analysis. These methods generate spherical representations from outlines or points, avoiding discrete space errors.
Area of Science:
- Computer Graphics
- Computational Geometry
- 3D Modeling
Background:
- Converting between 3D object representations is crucial for various applications.
- Existing methods may introduce errors due to discrete space approximations.
Purpose of the Study:
- To develop algorithms for converting 3D object representations.
- To enable conversion from surface data (outlines, points) to a spherical volume representation.
- To facilitate graphical display and further data processing.
Main Methods:
- Algorithms for converting cross-section outlines to surface points.
- Algorithms for converting surface points to overlapping spheres.
- Utilizing real coordinate systems to avoid quantization errors.
Main Results:
- Successful conversion from surface representations to a spherical volume representation.
- Demonstrated utility of spherical representation for graphical display.
- Enabled computation of the object's symmetric surface (3D analog of Blum's symmetric axis).
Conclusions:
- The presented algorithms offer a robust method for 3D object representation conversion.
- Spherical decomposition provides a valuable intermediate representation for graphics and analysis.
- The use of real coordinates ensures accuracy and avoids discretization artifacts.
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