What Are the Possibilities to Increase Height to an Asian Nose?

To increase height on the Asian nose there are 2 options available.  The first option is the patient’s own cartilage harvested from the nose to give a small augmentation.  All the incisions are placed on the inside of the nose.  If a large augmentation is desired, then a silicone implant is inserted along the bridge line. These are both done under general anesthesia as an outpatient procedure.

Building the bridge (dorsal augmentation) as you mentioned is a common aspect of Asian rhinoplasty.  There are several options availabe, beginning with surgical vs. nonsurgical rhinoplasty with fillers.  In terms of surgery, the bridge can be built with alloplastic (synthetic) or autologous (your own tissue) grafts.  I think the best option is to use your own tissue, cartilage and/or fascia, to build your bridge.  This gives you the lowest risk of infection, no risk of extrusion or rejection, and will give you a permanent result. 

There are many different materials to use in increasing the height of nose bridge. These include synthetic materials, your own bones from different areas of the body, and your own cartilages from nose, ear and rib. They all have distinct advantages and disadvantages. The choice of the material to use is usually based on the severity and the surgeon's personal preference.
 

Although synthetic materials are well tolerated in Asians because of their thick skin, these are rarely recommended in patients with thin skin. Cartilage is a  preferred choice in these patients.