Centroid of irregular polygons

  • Thread starter Thread starter jonnylane
  • Start date Start date
  • Tags Tags
    Centroid Polygons
Click For Summary
SUMMARY

The discussion focuses on calculating the centroid of irregular polygons, specifically in the context of anatomical features on SPECT and MRI scans. The user employed a many-point weighted triangle method to compute the centroid for their dissertation. A scientific definition of a centroid was sought, with suggestions indicating that it is synonymous with the "center of mass." A reference to MathWorld's geometric centroid page was provided for further clarification.

PREREQUISITES
  • Understanding of centroid calculations in geometry
  • Familiarity with SPECT and MRI imaging techniques
  • Knowledge of weighted triangle methods for area computations
  • Basic principles of physics related to center of mass
NEXT STEPS
  • Research the mathematical definition of centroid in geometry
  • Explore the many-point weighted triangle method for area calculations
  • Investigate applications of centroids in medical imaging analysis
  • Learn about the relationship between centroid and center of mass in physics
USEFUL FOR

Students, researchers, and professionals in fields such as medical imaging, geometry, and physics who are involved in calculating centroids for irregular shapes.

jonnylane
Hi there,

I have a bit of a problem for you. I have recently had to write a program to compute the centroid (centre of area) of a 2d shape. I used a many-point weighted triangle method. The shapes themselves are ROI's of anatomical features on SPECT and MRI scans.

Im writing up my dissertation and I am trying to come up with a scientific definition of a centroid. I've tried "point of rotation at which ACW moment = CW moment = 0,and a few others, but this doesn't sound right in the purely mathematical context.

any ideas?
thanks
 
Mathematics news on Phys.org

Similar threads

Defining the Centroid, Centre of Mass, Centre of Gravity for 2D/3Dshapes
  • · Replies 8 ·
Replies
8
Views
3K
A polygon is rolling down a hill
  • · Replies 3 ·
Replies
3
Views
2K
Beams subject to distributed load/centroids
  • · Replies 5 ·
Replies
5
Views
3K
Finding the moment of inertia of a 2D polygon.
  • · Replies 2 ·
Replies
2
Views
15K
3D shapes with perfect polygons
  • · Replies 5 ·
Replies
5
Views
18K
Ordering Line Segments to form a 2D Polygon after slicing a 3D Tri Map
  • · Replies 1 ·
Replies
1
Views
3K
Green's Theorem->Does it work for ?
  • · Replies 8 ·
Replies
8
Views
5K
Undergrad How can I accurately calculate transferred spin in my 2D physics engine?
  • · Replies 3 ·
Replies
3
Views
1K
Finding Centroid and Second Moment of Area for Complex Sections
  • · Replies 3 ·
Replies
3
Views
3K
Engineering Stiffness of a Concrete Core in a Multi-Storey Building
  • · Replies 2 ·
Replies
2
Views
3K