@Article{balasubramanian2002:v1-v2-v3,
  author =       {Mukund Balasubramanian and Jonathan Polimeni and
                  Eric L. Schwartz},
  title =        {The {V1--V2--V3} complex: quasiconformal dipole maps
                  in primate striate and extra-striate cortex},
  journal =      {Neural Networks},
  year =         2002,
  volume =       15,
  number =       10,
  pages =        {1157-1163},
  pii =          {S0893-6080(02)00094-1},
  DOI =          {10.1016/S0893-6080(02)00094-1},
  PMID =         12425434,
  month =        Dec,
  datestr =      200212,
  abstract =     {The mapping function $w=k\log(z+a)$ is a widely
                  accepted approximation to the topographic structure
                  of primate V1 foveal and parafoveal regions. A
                  better model, at the cost of an additional
                  parameter, captures the full field topographic map
                  in terms of the \emph{dipole map} function
                  $w=k\log[(z+a)/(z+b)]$. However, neither model
                  describes topographic shear since they are both
                  explicitly complex-analytic or conformal. In this
                  paper, we adopt a simple \emph{ansatz} for
                  topographic shear in V1, V2, and V3 that assumes
                  that cortical topographic shear is rotational,
                  i.e. a compression along iso-eccentricity
                  contours. We model the constant rotational shear
                  with a quasiconformal mapping, the \emph{wedge
                  mapping}. Composing this wedge mapping with the
                  dipole mapping provides an approximation to V1, V2,
                  and V3 topographic structure, effectively unifying
                  all three areas into a single V1--V2--V3
                  \emph{complex} using five independent
                  parameters. This work represents the first
                  full-field, multi-area, quasiconformal model of
                  striate and extra-striate topographic map
                  structure.},
  keywords =     {Topography; Visuotopy; Primary visual cortex (V1);
                  Striate cortex; Extra-striate cortex; Quasiconformal
                  mapping; Topographic shear; Models of visual cortex},
}