boot - How to copy and restore to smaller partition

I want to copy a partition from hd to another with small partition.

Must be:

• support ext4 file system


• can create image file for later use.



• compress images files


• copy only the used file system


• restore to smaller and bigger partition in destination hd

Optional:

• Have network connection to one of the following protocol: ftp, sftp, ftps, webdad nfs


• support other file system: ntfs, fat32, ext3, ext2



• has a gui

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I already see this questions and answer,
but my question is more specific, and no good answers that help me.
other topic i already see:
How to clone to a smaller harddisk?
Cloning hard disk partition to smaller SSD on laptop
Clone internal HDD to new SSD

My best solution for me is here:
boot with live cd with ubuntu 18-04.
enable "Universe" repository:

install sshfs: sudo apt-get install sshfs
sshfs if you want to save or restore from remote server that has sftp protocol.
install qt5-fsarchiver from here:

qt5-fsarchiver.
The project call qt4-fsarchiver.
fsarchiver has all the must thing i need:
FSArchiver ability

Must be:

• "Ability to save/restore new generation linux filesystems (ext4, reiser4, btrfs)"


• "Ability to restore the filesystem to a partition which is smaller than the original"


• "Ability to restore the filesystem to a partition which is bigger than the original"


• "Compression algorithms which are supported"

The optional stuff came from qt4-fsarchiver project and ubuntu live cd:

Optional:

• qt4-fsarchiver has gui.


• ubuntu nautilus has network connection: ftp, ftps, sftp, nfs, webdav.
  (it was hard for me that qt5-fsarchiver will find the virtual folder of sftp or ftps, so i use sshfs)


• use sshfs for mount sftp remote server


• fsarchiver also support ext2, ext3, fat32, ntfs:
  "Ability to save/restore standard linux filesystems (ext2, ext3, reiserfs, xfs, jfs)"
  "Ability to save/restore windows ntfs filesystems"