Problem 45262. Remove duplicated vertices

First input V_in is a vertices list (X Y Z coordinates) which may contain duplicata (identical rows).

Second input T_in is the corresponding triangulation , in which each integer represents the row index of the vertex in the list V_in.

First output V_out -the easiest to compute- is the list of vertices without duplicata.

Second output T_out is a bit more tricky to compute : once you get rid of duplicated vertices, you of course have to update their corresponding indices in the triangulation array. The resulting table is T_out which admit no duplicated triangle.

NB : triangle orientations in T_out doesn't matter : [i1 i2 i3] is the same as [i3 i2 i1] for instance

Example on a regular octahedron included in the unit sphere :

V_in = [0 0 1;...
        sqrt(2) sqrt(2) 0;...
        -sqrt(2) sqrt(2) 0;...
        0 0 1;...        
        -sqrt(2) -sqrt(2) 0;...
        sqrt(2) sqrt(2) 0;...
        sqrt(2) -sqrt(2) 0;...
        0 0 -1];
T_in = [1, 2, 3;...
        1, 3, 5;...
        4, 5, 7;...
        2, 4, 7;...
        2, 3, 8;...
        3, 5, 8;...
        5, 7, 8;...
        2, 7, 8];
V_out = [0 0 1;...
         sqrt(2) sqrt(2) 0;...
         -sqrt(2) sqrt(2) 0;...           
         -sqrt(2) -sqrt(2) 0;...          
         sqrt(2) -sqrt(2) 0;...
         0 0 -1];
T_out = [1, 2, 3;... 
         1, 2, 5;...    
         1, 3, 4;...
         1, 4, 5;...                            
         2, 3, 6;...
         2, 5, 6;...
         3, 4, 6;...
         4, 5, 6];

That's all folks ! (for today at least)

Good work Matlab bro ! :)

Solution Stats

42.86% Correct | 57.14% Incorrect
Last Solution submitted on Oct 18, 2024

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers19

Suggested Problems

More from this Author9

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!