TY - GEN

T1 - Cortical surface flattening using least square conformal mapping with minimal metric distortion

AU - Ju, Lili

AU - Stern, Josh

AU - Rehm, Kelly

AU - Schaper, Kirt

AU - Hurdal, Monica

AU - Rottenberg, David

PY - 2004/12/1

Y1 - 2004/12/1

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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=7044283714&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=7044283714&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:7044283714

SN - 0780383885

T3 - 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano

SP - 77

EP - 80

BT - 2004 2nd IEEE International Symposium on Biomedical Imaging

T2 - 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano

Y2 - 15 April 2004 through 18 April 2004

ER -