Abstract

A novel approach for computing point correspondences and grids within annular tissues is presented based on a recently introduced technique for computing thickness in such regions. The solution of Laplace’s equation provides implicit correspondence trajectories between the bounding surfaces. Pairs of par- tial differential equations are then efficiently solved within an Eulerian framework for thickness, from which concentric surfaces can be constructed. Point correspon- dences are then computed between the outer surfaces and any surface within, pro- viding a gridding of the annular tissue. Examples are shown for two-dimensional short-axis images of the left ventricle and three-dimensional images of the cortex.