Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Vector Transformation in Rotating Coordinate Systems01:16

Vector Transformation in Rotating Coordinate Systems

Consider a vector rotating about an axis with an angular velocity, such that its tip sweeps a circular path.
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...
Vector Components in the Cartesian Coordinate System01:29

Vector Components in the Cartesian Coordinate System

Vectors are usually described in terms of their components in a coordinate system. Even in everyday life, we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if someone gives you directions for a particular location, you will be told to go a few km in a direction like east, west, north, or south, along with the angle in which you are supposed to move. In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is...
Direction Cosines of a Vector01:29

Direction Cosines of a Vector

Direction cosines, which help describe the orientation of a vector with respect to the coordinate axes, are an essential concept in the field of vector calculus. Consider vector A that is expressed in terms of the Cartesian vector form using i, j, and k unit vectors. The magnitude of vector A is defined as the square root of the sum of the squares of its components. The direction of this vector with respect to the x, y, and z axes is defined by the coordinate direction angles α, β, and γ,...
Spherical Coordinates01:23

Spherical Coordinates

Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

HTNet: A self-supervised heterogeneous triple network for multi-modal data.

Neural networks : the official journal of the International Neural Network Society·2026
Same author

Redox-active microneedles for disease management.

Journal of controlled release : official journal of the Controlled Release Society·2026
Same author

SERS-Integrated Microneedles: Bridging Nanoplasmonics and Microsampling for Advanced Bioanalysis.

ACS sensors·2025
Same author

Unsupervised domain adaptation teacher-student network for retinal vessel segmentation via full-resolution refined model.

Scientific reports·2025
Same author

Surface-Enhanced Raman Spectroscopy for the Detection of Reactive Oxygen Species.

ACS nano·2025
Same author

Speciation Analysis of Metals and Metalloids by Surface Enhanced Raman Spectroscopy.

Environmental science & technology·2024

Related Experiment Video

Updated: May 16, 2026

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities
07:13

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities

Published on: October 27, 2023

Beam coordinate transformations from DICOM to DOSXYZnrc.

Lixin Zhan1, Runqing Jiang, Ernest K Osei

  • 1Department of Medical Physics, Grand River Regional Cancer Centre, Kitchener, Ontario N2G 1G3, Canada. lixin.zhan@grhosp.on.ca

Physics in Medicine and Biology
|November 24, 2012
PubMed
Summary

This study introduces simplified coordinate transformation equations for radiotherapy. These equations facilitate accurate dose calculations by aligning Digital Imaging and Communications in Medicine (DICOM) beam orientations with the BEAMnrc/DOSXYZnrc Monte Carlo system.

More Related Videos

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

Direct Linear Transformation for the Measurement of In-Situ Peripheral Nerve Strain During Stretching
06:26

Direct Linear Transformation for the Measurement of In-Situ Peripheral Nerve Strain During Stretching

Published on: January 12, 2024

Related Experiment Videos

Last Updated: May 16, 2026

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities
07:13

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities

Published on: October 27, 2023

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

Direct Linear Transformation for the Measurement of In-Situ Peripheral Nerve Strain During Stretching
06:26

Direct Linear Transformation for the Measurement of In-Situ Peripheral Nerve Strain During Stretching

Published on: January 12, 2024

Area of Science:

  • Medical Physics
  • Radiotherapy Physics
  • Computational Dosimetry

Background:

  • Digital Imaging and Communications in Medicine (DICOM) is the standard for medical imaging and data exchange.
  • Treatment planning systems (TPS) generate radiotherapy plans often exported in DICOM format.
  • BEAMnrc/DOSXYZnrc is a Monte Carlo (MC) tool for simulating dose delivery, but uses a different beam orientation system than DICOM.

Purpose of the Study:

  • To develop a new, simplified set of coordinate transformation equations.
  • To improve the computational implementation of beam orientation alignment between DICOM and BEAMnrc/DOSXYZnrc.
  • To facilitate accurate MC dose calculations from TPS-generated plans.

Main Methods:

  • Derived new transformation equations for polar (θ) and azimuthal (φ) angles by applying rotations to DICOM patient coordinates.
  • Developed a novel method for calculating the BEAMnrc/DOSXYZnrc beam rotation (ϕ(col)) by combining collimator and couch rotations.
  • Verified the transformation equations using clinical radiotherapy plans.

Main Results:

  • The new transformation equations are more compact and easier to implement computationally than previous methods.
  • Clinical plan verification showed excellent geometrical agreement for field placements between TPS and MC results.
  • Good agreement was observed in dose distributions when comparing TPS and MC calculations.

Conclusions:

  • The derived transformation equations provide a more accessible and accurate method for integrating DICOM data into BEAMnrc/DOSXYZnrc simulations.
  • This work simplifies the process of performing MC dose calculations for radiotherapy, enhancing accuracy and efficiency.
  • The findings support improved consistency between treatment planning and dose verification in radiation oncology.