A cubic model for vessel lumen reconstruction from segmental balloon strain data

Abstract

Balloon catheters with distributed strain sensors aim to estimate arterial wall mechanics in vivo. Reconstructing the lumen contour from circumferential segment lengths is essential. The standard linear one-parameter mapping proves insufficient for soft-tissue and concave geometries. A smooth cubic model with soft geometric penalties and robust evolutionary optimization achieves accurate closure and area agreement while yielding physiologically realistic curvature.