def split_ps(point_set):
#print point_set.size()
num_points = point_set.size()[0]/2
diff = point_set.max(dim=0)[0] - point_set.min(dim=0)[0]
diff = diff[:3]
dim = torch.max(diff, dim = 1)[1][0,0]
cut = torch.median(point_set[:,dim])[0][0]
left_idx = torch.squeeze(torch.nonzero(point_set[:,dim] > cut))
right_idx = torch.squeeze(torch.nonzero(point_set[:,dim] < cut))
middle_idx = torch.squeeze(torch.nonzero(point_set[:,dim] == cut))
if torch.numel(left_idx) < num_points:
left_idx = torch.cat([left_idx, middle_idx[0:1].repeat(num_points - torch.numel(left_idx))], 0)
if torch.numel(right_idx) < num_points:
right_idx = torch.cat([right_idx, middle_idx[0:1].repeat(num_points - torch.numel(right_idx))], 0)
left_ps = torch.index_select(point_set, dim = 0, index = left_idx)
right_ps = torch.index_select(point_set, dim = 0, index = right_idx)
return left_ps, right_ps, dim
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