Abstract #0836

Kwon M, Park H

Korea Advanced Institute of Science and Technology

Flattening of the brain surface onto sphere and plane is widely used to view the buried sulci of cerebral cortex. Conventional parametric deformable models usually result in self-intersection and the resultant triangles may overlap at thin and deep concave region because vertices are deformed by combination of the external forces. Although some algorithms solve the overlap problem, they require heavy computation and do not guarantee no-overlap between triangles. This paper proposes a method that flattens the brain surface onto sphere and plane without overlap between triangles, with small computational time, and with minimized metric distortion. The proposed method organized by four steps each of which takes charge of specific purpose. In each step, deformation is performed just by one force and the effect of force is maximized. Flattening to sphere and plane need three and four steps, respectively. Vertices are deformed in 2D Spherical coordinates for flattening to sphere in order for vertices to exist exact