3d symmetry search algorithm

Posted by aaa on Stack Overflow See other posts from Stack Overflow or by aaa
Published on 2010-05-01T14:54:39Z Indexed on 2010/05/01 14:57 UTC
Read the original article Hit count: 354

Filed under:

3d

|

symmetry

|

algorithm

|

theory

this may be more appropriate for math overflow, but nevertheless:

Given 3d structure (for example molecule), what is a good approach/algorithm to find symmetry (rotational/reflection/inversion/etc.)?

I came up with brute force naive algorithm, but it seems there should be better approach. I am not so much interested in genetic algorithms as I would like best symmetry rather then almost the best symmetry

link to website/paper would be great. thanks

© Stack Overflow or respective owner

Related posts about 3d

How to convert videos to 3D format so that I can watch them with 3D glasses

as seen on Super User - Search for 'Super User'
Are there any softwares to convert 2D videos to 3D (preferably XviD avi) so that I can watch them with 3D glasses? No matter if it's freeware or shareware. >>> More
In Email, Image (img) Source (src) Tags are rewritten as relative links. How to fix?

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm working on sending out an html based email, and every time it sends the image src tags and some of the anchor href tags are modified to be relative url's. Update 2: This is happening between when the body of the email is generated and sent and when it arrives in my inbox. Update: I am using… >>> More
WPF 3D - Need help writing conversion methods between 2D and 3D (Point3DToPoint and PointAndZToPoint

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm new to WPF 3D, so I may just be missing something obvious, but how do I convert from 3D to 2D and (for a given z location) from 2D to 3D? Specifically, I need two conversion methods: Point3DToPoint - If I have an (x, y, z) coordinate in the 3D world, how do I determine the (x, y) coordinate… >>> More
3D point on 3D mesh surface

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi All, How can I get a 3D point on 3D mesh surface made up triangulars ? The 3D point may be anywhere on the 3D surface. Thanks. M.Ken >>> More
Matlab 3d volume visualization and 3d overlay

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi, so the question ist pretty much the title. I have a 3d volume loaded as raw data [256, 256, 256] = size(A). It contains only values of zero's and ones, where the 1's represent the structure and 0's the "air". I want to visualize the structure in matlab and then run an algorithm on it and put… >>> More

Related posts about symmetry

3d symmetry search algorithm

as seen on Stack Overflow - Search for 'Stack Overflow'
this may be more appropriate for math overflow, but nevertheless: Given 3d structure (for example molecule), what is a good approach/algorithm to find symmetry (rotational/reflection/inversion/etc.)? I came up with brute force naive algorithm, but it seems there should be better approach. I am not… >>> More
Overriding equals method without breaking symmetry in a class that has a primary key

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi, the answer to this question is probably "not possible", but let me ask regardless :) Assuming we have a very simple JAVA class that has a primary key, for example: class Person { String ssid; String name; String address; ... } Now, I want to store people in a collection, meaning… >>> More
Permutations distinct under given symmetry (Mathematica 8 group theory)

as seen on Stack Overflow - Search for 'Stack Overflow'
Given a list of integers like {2,1,1,0} I'd like to list all permutations of that list that are not equivalent under given group. For instance, using symmetry of the square, the result would be {{2, 1, 1, 0}, {2, 1, 0, 1}}. Approach below (Mathematica 8) generates all permutations, then weeds out… >>> More
Symmetric drawing of a Graph

as seen on Stack Overflow - Search for 'Stack Overflow'
is there any known algorithm(or package with the algorithm already implemented) to draw a graph in a way that it has symmetry ? for example most of these show symmetry. but putting the nodes evenly distributed on a circle isn't the best way to symmetry is exposed. >>> More
Graph and permutation problem

as seen on Stack Overflow - Search for 'Stack Overflow'
I have a graph (with nodes and edges) containing symmetry and a group of permutations to label the nodes so no edges are changed (automorphisms). Now I would like to determine for which nodes a permutation exchanges two equivalent (i.e. nodes with the same color or symmetry class) neighboring nodes… >>> More