For AR in particular, algorithms must accurately map virtual objects onto reality, requiring precise spatial understanding for seamless blending.
Algorithms need to process and render 3D geometry efficiently, without taxing the potentially limited computational resources of the devices, compared to standard computing platforms.
Geometric algorithms need to accommodate user interaction in 3D space, including object handling and navigation, necessitating dynamic geometry modifications based on user inputs.

VR and AR applications require high frame rates to provide a smooth and immersive experience. Geometric algorithms must be optimized for real-time performance to avoid latency, which can break immersion and even cause motion sickness in users.