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Real-World Applications of Space Curves01:29

Real-World Applications of Space Curves

Modern aerospace navigation depends on the accurate prediction of motion in three-dimensional space. In defense applications, radar systems continuously track both interceptors and moving aerial targets to find whether their flight paths will result in a collision. These motions are modeled mathematically as space curves, which represent paths that change continuously with time. Each object’s position is described by a vector function that specifies its location in terms of time-dependent...

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Collision detection in radiotherapy: A comprehensive software approach using depth camera and separating axis

Cheng-Yen Lee1, Hsiao-Ju Fu1, Syu Fu Chuen2

  • 1Department of Mechanical Engineering, National Chung Cheng University, Chiayi 621, Taiwan; Advanced Institute of Manufacturing with High-tech Innovations, National Chung Cheng University, Chiayi 621, Taiwan; Department of Radiation Oncology, Ditmanson Medical Foundation Chia-Yi Christian Hospital, Chiayi 600, Taiwan.

Physica Medica : PM : an International Journal Devoted to the Applications of Physics to Medicine and Biology : Official Journal of the Italian Association of Biomedical Physics (AIFB)
|October 8, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces patient-specific collision detection software for radiotherapy, improving safety and efficiency with advanced algorithms. The system effectively reduces computational complexity, enhancing the reliability of radiation delivery.

Keywords:
Axis-aligned bounding boxCollision detectionDepth cameraRadiotherapySeparating axis theorem

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Area of Science:

  • Medical Physics
  • Radiotherapy Technology
  • Computational Geometry

Background:

  • Patient and equipment safety are paramount in radiotherapy.
  • Current collision detection methods for linear accelerators (LINACs) have limitations in efficiency and versatility.
  • Accurate collision detection is crucial for personalized medicine and treatment planning.

Purpose of the Study:

  • To develop and present a patient-specific collision detection software for radiotherapy.
  • To support a variety of LINACs with complex motion trajectories.
  • To enhance safety and operational efficiency in clinical radiotherapy settings.

Main Methods:

  • Utilized depth cameras for point cloud acquisition and hand-eye calibration for model localization.
  • Integrated the separating axis theorem (SAT) with collision bodies for simplified detection.
  • Optimized simulation efficiency using axis-aligned bounding box (AABB), bounding volume hierarchy (BVH), and collision pair analysis.

Main Results:

  • Demonstrated robust performance in simulating and detecting collisions during radiotherapy.
  • Achieved over 95% and 99% reduction in computational complexity for the radiation delivery and imaging system (RDIS) and patient positioning system (PPS), respectively, using BVs and BVH.
  • Significantly enhanced the overall efficiency of collision detection.

Conclusions:

  • The developed software provides a reliable tool for enhancing safety and operational efficiency in clinical radiotherapy.
  • Offers interactive education and training for healthcare professionals, addressing practical and learning gaps.
  • Advances the field of radiotherapy by improving safety protocols and treatment planning accuracy.