Thinnest part of a 3D shape formed of tessellations

I have a group of tessellations forming a 3D shape and I need to find the section(s) with least cross section radius in it

Following is the visual aid for understanding this problem:

Assume that each rectangle in the A,B and C is a tessellation and this diagram is 3D

Now, Assume that each rectangle in the A,B and C is a tessellation and this diagram is 3D.

I wish to find 'C' ie.. set of tessellations with least cross section radii or thinnest part of the given shape.

How do I find it? I was thinking of finding the faces closest to each other but that will fetch the tessellations inside the shape as well.

I have tried:
1. Finding convex hull (Doesnt give points in thinnest area)
2. Alpha shape (No way to find the faces on the surface)

I would appreciate any advise on this matter.

Thanks

asked Nov 12 at 20:44

Pranav Khade

1

You might be looking for the shape diameter function.
– Nico Schertler
Nov 13 at 7:05

Thank you for the reply but it says unknown link. I looked it up on google and trying it out. Will comment here if that works.
– Pranav Khade
Nov 14 at 19:13

Try this link instead. There are multiple follow-up publications about SDF, mostly about how to compute it fast.
– Nico Schertler
Nov 14 at 19:17

add a comment |

I have a group of tessellations forming a 3D shape and I need to find the section(s) with least cross section radius in it

Following is the visual aid for understanding this problem:

Assume that each rectangle in the A,B and C is a tessellation and this diagram is 3D

Now, Assume that each rectangle in the A,B and C is a tessellation and this diagram is 3D.

I wish to find 'C' ie.. set of tessellations with least cross section radii or thinnest part of the given shape.

How do I find it? I was thinking of finding the faces closest to each other but that will fetch the tessellations inside the shape as well.

I have tried:
1. Finding convex hull (Doesnt give points in thinnest area)
2. Alpha shape (No way to find the faces on the surface)

I would appreciate any advise on this matter.

Thanks

asked Nov 12 at 20:44

Pranav Khade

1

You might be looking for the shape diameter function.
– Nico Schertler
Nov 13 at 7:05

Thank you for the reply but it says unknown link. I looked it up on google and trying it out. Will comment here if that works.
– Pranav Khade
Nov 14 at 19:13

Try this link instead. There are multiple follow-up publications about SDF, mostly about how to compute it fast.
– Nico Schertler
Nov 14 at 19:17

add a comment |

I have a group of tessellations forming a 3D shape and I need to find the section(s) with least cross section radius in it

Following is the visual aid for understanding this problem:

Assume that each rectangle in the A,B and C is a tessellation and this diagram is 3D

Now, Assume that each rectangle in the A,B and C is a tessellation and this diagram is 3D.

I wish to find 'C' ie.. set of tessellations with least cross section radii or thinnest part of the given shape.

How do I find it? I was thinking of finding the faces closest to each other but that will fetch the tessellations inside the shape as well.

I have tried:
1. Finding convex hull (Doesnt give points in thinnest area)
2. Alpha shape (No way to find the faces on the surface)

I would appreciate any advise on this matter.

Thanks

asked Nov 12 at 20:44

Pranav Khade

I have a group of tessellations forming a 3D shape and I need to find the section(s) with least cross section radius in it

Following is the visual aid for understanding this problem:

Assume that each rectangle in the A,B and C is a tessellation and this diagram is 3D

Now, Assume that each rectangle in the A,B and C is a tessellation and this diagram is 3D.

I wish to find 'C' ie.. set of tessellations with least cross section radii or thinnest part of the given shape.

How do I find it? I was thinking of finding the faces closest to each other but that will fetch the tessellations inside the shape as well.

I have tried:
1. Finding convex hull (Doesnt give points in thinnest area)
2. Alpha shape (No way to find the faces on the surface)

I would appreciate any advise on this matter.

Thanks

math graphics geometry tesselation

asked Nov 12 at 20:44

Pranav Khade

asked Nov 12 at 20:44

Pranav Khade

asked Nov 12 at 20:44

Pranav Khade

asked Nov 12 at 20:44

Pranav Khade

asked Nov 12 at 20:44

Pranav Khade

1

You might be looking for the shape diameter function.
– Nico Schertler
Nov 13 at 7:05

Thank you for the reply but it says unknown link. I looked it up on google and trying it out. Will comment here if that works.
– Pranav Khade
Nov 14 at 19:13

Try this link instead. There are multiple follow-up publications about SDF, mostly about how to compute it fast.
– Nico Schertler
Nov 14 at 19:17

add a comment |

1

You might be looking for the shape diameter function.
– Nico Schertler
Nov 13 at 7:05

Thank you for the reply but it says unknown link. I looked it up on google and trying it out. Will comment here if that works.
– Pranav Khade
Nov 14 at 19:13

Try this link instead. There are multiple follow-up publications about SDF, mostly about how to compute it fast.
– Nico Schertler
Nov 14 at 19:17

You might be looking for the shape diameter function.
– Nico Schertler
Nov 13 at 7:05

Thank you for the reply but it says unknown link. I looked it up on google and trying it out. Will comment here if that works.
– Pranav Khade
Nov 14 at 19:13

Try this link instead. There are multiple follow-up publications about SDF, mostly about how to compute it fast.
– Nico Schertler
Nov 14 at 19:17

add a comment |

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