You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: laplacian_mesh_editing.m
    path of file: ./repos/gptoolbox/mesh
    
    the code of the file until where you have to start completion: function U = laplacian_mesh_editing(V,F,b,bc)
  % LAPLACIAN_MESH_EDITING deform a mesh using laplacian
  % mesh editing scheme, "Laplacian Surface Editing" by Olga Sorkine,
  %
  % U = laplacian_mesh_editing(V,F,b,bc)
  %
  % Inputs:
  %   V  #V by dim list of rest domain positions
  %   F  #F by 3 list of triangle indices into V
  %   b  #b list of indices of constraint (boundary) vertices
  %   bc  #b by dim list of constraint positions for b
  % Outputs:
  %   U  #V by dim list of new positions

  % number of vertices
  n = size(V,1);
  assert(max(b) <= n);
  assert(min(b) >= 1);
  % dimension
  dim = size(V,2);
  assert(dim == size(bc,2));

  [A, rhs] = laplacian_editing_system(V,F,b,bc);
  U = zeros(n*dim,1);

    
function U = laplacian_mesh_editing(V,F,b,bc)
  % LAPLACIAN_MESH_EDITING deform a mesh using laplacian
  % mesh editing scheme, "Laplacian Surface Editing" by Olga Sorkine,
  %
  % U = laplacian_mesh_editing(V,F,b,bc)
  %
  % Inputs:
  %   V  #V by dim list of rest domain positions
  %   F  #F by 3 list of triangle indices into V
  %   b  #b list of indices of constraint (boundary) vertices
  %   bc  #b by dim list of constraint positions for b
  % Outputs:
  %   U  #V by dim list of new positions

  % number of vertices
  n = size(V,1);
  assert(max(b) <= n);
  assert(min(b) >= 1);
  % dimension
  dim = size(V,2);
  assert(dim == size(bc,2));

  [A, rhs] = laplacian_editing_system(V,F,b,bc);
  U = zeros(n*dim,1);
  indices = 1:n;
  interior = indices(~ismember(indices,b));
  interior_dim = repmat(interior,1,dim);
  interior_dim = interior_dim + ...
    reshape(repmat(((1:dim)-1)*n,numel(interior),1),size(interior_dim));
  b_dim = repmat(b,1,dim);
  b_dim = b_dim + ...
    reshape(repmat(((1:dim)-1)*n,numel(b),1),size(b_dim));
  U(interior_dim) = A \ rhs;
  U(b_dim) = bc(:);
  U = reshape(U,size(V));
end