Powershell Script to get items only in a particular view of SharePoint List/library

Question

Is there a way to get the items that are present in a particular view of a sharepoint library? Actually my library has multiple levels of folders like this:

Level1 Document set
Level2 Folders and some Items
Level3 Folders and some items ...so on

what I am trying to do is I will select the "Show all Items without folders" option in view and try to access all the items using powershell, since that will be easier. How can I do it? Here is my script as requested:

Add-PSSnapin Microsoft.SharePoint.PowerShell
$web = Get-SPWeb "http://MySite"
$library = $web.Lists["Test"]
$view = $library.Views["All Documents"]
foreach($item in $list.GetItems($view))
{
 write-host $item["Name"]
}

Actual content of All documents view

Content After Filter:

The ouput is : A B C while it should be only A right?

Answer 1

You need to use SPList.GetItems(SPView) method to get items from the view. Example:

$web = Get-SPWeb http://aissp2013
$list = $web.Lists["YourList"]
$view = $list.Views["ViewName"]
$items = $list.GetItems($view)
foreach($item in $items)
{
 #Play with item
}

UPDATE

Scrrenshot: