How to create an .img from a LVM Logical Volume

I have some LVM logical volumes in a machine, and I would like to create backup images (.img) stored in another machine. 1. Most volumes are LVM-Thin, and I cannot resize the volumes before creating the images. Then, how to keep the image files as small as possible? 1. Is dd capable of creating a thin image of a volume? 1. In addition to dd, which other tools can I use for this task?