Thank you for your question! This type of pool is called a perimeter overflow. It has a hidden gutter system underneath the coping that carries the water to a collection basin. Water is constantly recirculated from this basin to keep the dramatic effect of water level with the pool patio.
It depends a lot on the pool design and location. In general, expect about $100 to $150 per foot of perimeter for this type of knife edge overflow with a hidden trough and catch basin.
Hearthstone Luxury Pools + Outdoors
Mary Johnson
Hearthstone Luxury Pools + Outdoors