Optimization method for creating semi-isometric flat maps of the cerebral cortex

摘要: We describe a method for creating semi-isometric flat maps of sections the human cortical surface. These can be used wide range applications including visualization distribution functional activation over unfolded brain surface and generating parametric models that are appropriate performing geometrical transformations based inter-subject registration. In particular, their application in multi-resolution representations arbitrarily shaped complex surfaces is presented this paper. Using property every simultaneous conformal equiareal mapping isometric, we have formulated calculation an isometric between as constrained optimization problem. designed energy function whose minima occur when points positioned configuration. Constraint functions imposing requirements preservation angles areas guarantee will deform to produce mappings. The constraints imposed using penalty unconstrained conjugate gradient algorithm. unfolds gradually, deforming near-flat form corresponds minimum weighted sum terms.