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Related Concept Videos

Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position with respect to time...
Polar Coordinates01:24

Polar Coordinates

The polar coordinate system offers an alternative to the Cartesian coordinate system for specifying points in a plane, using a distance and an angle instead of x and y coordinates. This system is particularly advantageous in situations involving circular or rotational symmetry, such as in physics or engineering problems involving waves, oscillations, or orbital paths.Defining Polar CoordinatesIn polar coordinates, a point is represented as P(r, ��), where r is the radial distance from a fixed...
Polar Equations of Conics01:29

Polar Equations of Conics

A conic section can be defined in polar coordinates as the set of all points whose distance from a fixed point, known as the focus, bears a constant ratio to their distance from a fixed line, known as the directrix. This constant ratio is called the eccentricity. This definition unifies all types of conic sections—ellipses, parabolas, and hyperbolas—under a single framework. When the focus is positioned at the origin of the polar coordinate system, a single polar equation can describe any conic...
Polar and Cylindrical Coordinates01:22

Polar and Cylindrical Coordinates

The Cartesian coordinate system is a very convenient tool to use when describing the displacements and velocities of objects and the forces acting on them. However, it becomes cumbersome when we need to describe the rotation of objects. So, when describing rotation, the polar coordinate system is generally used.
Computed Tomography01:10

Computed Tomography

Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
The technique was invented in the 1970s and is based on the principle that as X-rays pass through the body, they are absorbed or reflected at different levels. In the technique, a patient lies on a motorized platform while a computerized axial tomography (CAT) scanner rotates...
Topographic Surveying and Contours01:29

Topographic Surveying and Contours

Topographic surveying is critical for documenting the Earth's surface, focusing on capturing elevations, slopes, and natural and man-made features. It is essential in construction planning, water resource management, and land-use analysis. The primary outcome of such surveys is a topographic map, which uses contour lines to visually represent the shape and slope of the terrain, providing valuable insights into the landscape's characteristics.Contour lines are fundamental to understanding the...

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Related Experiment Video

Updated: Jun 2, 2026

Quantitative Assessment Protocol for Facial Soft Tissue Volumetric Changes with Stereophotogrammetry
06:26

Quantitative Assessment Protocol for Facial Soft Tissue Volumetric Changes with Stereophotogrammetry

Published on: December 9, 2025

Polar-coordinated contour processing algorithm in optimizing SCART treatment volume.

Junqi Song1, Japan Patel2, Weihua Qi3

  • 1State Key Laboratory of Mechanics and Control for Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China.

Frontiers in Oncology
|June 1, 2026
PubMed
Summary
This summary is machine-generated.

A new algorithm streamlines Stereotactic Centralized Ablative Radiation Therapy (SCART) planning by automating the generation of SCART Treatment Volumes (STVs). This innovation enhances efficiency and improves STV quality for better tumor control and normal tissue preservation.

Keywords:
SCARTSFRTbulky tumorcontour processing algorithmscript

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A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery
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Related Experiment Videos

Last Updated: Jun 2, 2026

Quantitative Assessment Protocol for Facial Soft Tissue Volumetric Changes with Stereophotogrammetry
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Quantitative Assessment Protocol for Facial Soft Tissue Volumetric Changes with Stereophotogrammetry

Published on: December 9, 2025

A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery
09:41

A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery

Published on: May 20, 2016

Area of Science:

  • Radiation Oncology
  • Medical Physics

Background:

  • Spatially Fractionated Radiation Therapy (SFRT) offers superior tumor control and normal tissue sparing.
  • Stereotactic Centralized Ablative Radiation Therapy (SCART) is an SFRT technique for bulky tumors.
  • Manual generation of SCART Treatment Volumes (STVs) is time-consuming and suboptimal.

Purpose of the Study:

  • To develop an automated algorithm for generating STVs.
  • To improve the efficiency and quality of SCART treatment planning.

Main Methods:

  • A novel algorithm utilizing polar-coordinated calculations was developed.
  • The algorithm automates STV generation based on Gross Tumor Volume (GTV).

Main Results:

  • The algorithm reduced planning time by approximately 90%.
  • STVs generated by the algorithm showed a 15% volume increase and enhanced conformality compared to manual contours.
  • The need for recontouring was minimized.

Conclusions:

  • The proposed algorithm significantly improves the efficiency and reproducibility of SCART planning.
  • Automated STV generation leads to more optimal treatment volumes.
  • This method supports better outcomes in SCART for radiation oncology.