Point inside a cube of irregular dimesnion

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SUMMARY

This discussion addresses the method for determining whether a point lies inside an irregular cube, emphasizing that traditional volume calculations are not necessary. The proposed solution involves casting a ray from the point in question towards infinity and counting the number of intersections with the cube's boundaries. If the ray intersects the boundary an odd number of times, the point is confirmed to be inside the figure. This method is effective regardless of the cube's orientation.

PREREQUISITES
  • Understanding of geometric figures and their properties
  • Familiarity with ray-casting techniques in computational geometry
  • Basic knowledge of coordinate systems
  • Experience with programming concepts for implementing algorithms
NEXT STEPS
  • Research ray-casting algorithms for point-in-polygon tests
  • Explore computational geometry libraries such as CGAL or Boost.Geometry
  • Learn about bounding volume hierarchies for efficient intersection tests
  • Investigate 3D rendering techniques that utilize point containment checks
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This discussion is beneficial for computer graphics developers, game developers, and anyone involved in computational geometry or 3D modeling who needs to determine point containment within complex shapes.

parch
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hi, Is there any way, to find a point whether it lies inside a irregular cube. other than finding volume. where cube can be rotated in any direction.
 
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You don't mean "cube" here- all cubes are about as "regular" as you can get. But, anyway, one method of determining whether or not a point lies inside any given figure is to look at points on a single line, parallel to an axis if that helps, from the point to infinity. If that line crosses a boundary of the figure (an odd number of times) then the point is inside the figure.
 
:biggrin: thanks i solved it...
 

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