Cortical surface flattening using least square conformal mapping with minimal metric distortion Export

@inproceedings{ju2004cortical, abstract = {Although flattening a cortical surface necessarily introduces metric distortion due to the non-constant Gaussian curvature of the surface, the Riemann mapping theorem states that continuously differentiable surfaces can be mapped without angular distortion. We apply the so-called least-square conformal mapping approach to flatten a patch of the cortical surface onto planar regions and to produce spherical conformal maps of the entire cortex while minimizing metric distortion within the class of conformal maps. Our method, which preserves angular information and controls metric distortion, only involves the solution of a linear system and a nonlinear minimization problem with three parameters and is a very fast approach.}, author = {Ju, Lili and Stern, J. and Rehm, K. and Schaper, K. and Hurdal, M. and Rottenberg, D.}, citeulike-article-id = {439364}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/ISBI.2004.1398478}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1398478}, doi = {10.1109/ISBI.2004.1398478}, journal = {Biomedical Imaging: Macro to Nano, 2004. IEEE International Symposium on}, keywords = {conformalmapping, cortex, flattening}, pages = {77--80 Vol. 1}, posted-at = {2008-12-14 23:45:53}, priority = {2}, title = {Cortical surface flattening using least square conformal mapping with minimal metric distortion}, url = {http://dx.doi.org/10.1109/ISBI.2004.1398478}, year = {2004} }

TY - CONF ID - ju2004cortical L3 - citeulike-article-id:439364 N2 - Although flattening a cortical surface necessarily introduces metric distortion due to the non-constant Gaussian curvature of the surface, the Riemann mapping theorem states that continuously differentiable surfaces can be mapped without angular distortion. We apply the so-called least-square conformal mapping approach to flatten a patch of the cortical surface onto planar regions and to produce spherical conformal maps of the entire cortex while minimizing metric distortion within the class of conformal maps. Our method, which preserves angular information and controls metric distortion, only involves the solution of a linear system and a nonlinear minimization problem with three parameters and is a very fast approach. JF - Biomedical Imaging: Macro to Nano, 2004. IEEE International Symposium on EP - 80 Vol. 1 TI - Cortical surface flattening using least square conformal mapping with minimal metric distortion SP - 77 KW - conformalmapping KW - cortex KW - flattening AU - Ju, Lili AU - Stern, J AU - Rehm, K AU - Schaper, K AU - Hurdal, M AU - Rottenberg, D PY - 2004/// UR - http://dx.doi.org/10.1109/ISBI.2004.1398478 ER -