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Darsh Ranjan
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Finding a minimum bounding sphere for a frustrumfrustum

I have a frustrumfrustum (truncated pyramid defined by six planes) and I need to compute a bounding sphere for this frustrumfrustum that's as small as possible.

I can choose the centre of the sphere to be right in the centre of the frustrumfrustum and the radius to be the distance to one of the "far" corners (the base of the pyramid), but that usually leaves quite a lot of slack around the narrow end of the frustrumfrustum. There must be a better way!

This seems like simple geometry, but I can't seem to figure it out. Any ideas?

Finding a minimum bounding sphere for a frustrum

I have a frustrum (truncated pyramid defined by six planes) and I need to compute a bounding sphere for this frustrum that's as small as possible.

I can choose the centre of the sphere to be right in the centre of the frustrum and the radius to be the distance to one of the "far" corners (the base of the pyramid), but that usually leaves quite a lot of slack around the narrow end of the frustrum. There must be a better way!

This seems like simple geometry, but I can't seem to figure it out. Any ideas?

Finding a minimum bounding sphere for a frustum

I have a frustum (truncated pyramid defined by six planes) and I need to compute a bounding sphere for this frustum that's as small as possible.

I can choose the centre of the sphere to be right in the centre of the frustum and the radius be the distance to one of the "far" corners (the base of the pyramid), but that usually leaves quite a lot of slack around the narrow end of the frustum. There must be a better way!

This seems like simple geometry, but I can't seem to figure it out. Any ideas?

fixed spelling
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Yemon Choi
  • 25.8k
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  • 69
  • 156

Finding a minimum bounding sphere for a frustumfrustrum

I have a frustumfrustrum (truncated pyramid defined by six planes) and I need to compute a bounding sphere for this frustumfrustrum that's as small as possible.

I can choose the centre of the sphere to be right in the centre of the frustumfrustrum and the radius to be the distance to one of the "far" corners (the base of the pyramid), but that usually leaves quite a lot of slack around the narrow end of the frustumfrustrum. There must be a better way!

This seems like simple geometry, but I can't seem to figure it out. Any ideas?

Finding a minimum bounding sphere for a frustum

I have a frustum (truncated pyramid defined by six planes) and I need to compute a bounding sphere for this frustum that's as small as possible.

I can choose the centre of the sphere to be right in the centre of the frustum and the radius be the distance to one of the "far" corners (the base of the pyramid), but that usually leaves quite a lot of slack around the narrow end of the frustum. There must be a better way!

This seems like simple geometry, but I can't seem to figure it out. Any ideas?

Finding a minimum bounding sphere for a frustrum

I have a frustrum (truncated pyramid defined by six planes) and I need to compute a bounding sphere for this frustrum that's as small as possible.

I can choose the centre of the sphere to be right in the centre of the frustrum and the radius to be the distance to one of the "far" corners (the base of the pyramid), but that usually leaves quite a lot of slack around the narrow end of the frustrum. There must be a better way!

This seems like simple geometry, but I can't seem to figure it out. Any ideas?

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Bob
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