title: 4D hyperspherical harmonic (HyperSPHARM) representation of multiple disconnected brain subcortical structures.
abstract: We present a novel surface parameterization technique using hyperspherical harmonics (HSH) in representing compact, multiple, disconnected brain subcortical structures as a single analytic function. The proposed hyperspherical harmonic representation (HyperSPHARM) has many advantages over the widely used spherical harmonic (SPHARM) parameterization technique. SPHARM requires flattening 3D surfaces to 3D sphere which can be time consuming for large surface meshes, and can't represent multiple disconnected objects with single parameterization. On the other hand, HyperSPHARM treats 3D object, via simple stereographic projection, as a surface of 4D hypersphere with extremely large radius, hence avoiding the computationally demanding flattening process. HyperSPHARM is shown to achieve a better reconstruction with only 5 basis compared to SPHARM that requires more than 441.
authors: University of Wisconsin-Madison, USA. hosseinbor@wisc.edu
authors: Ameer Pasha
authors: AP
authors: Hosseinbor
authors: University of Wisconsin-Madison, USA.
authors: Moo K
authors: MK
authors: Chung
authors: University of Wisconsin-Madison, USA.
authors: Stacey M
authors: SM
authors: Schaefer
authors: University of Reading, UK.
authors: Carien M
authors: CM
authors: van Reekum
authors: University of Wisconsin-Madison, USA.
authors: Lara
authors: L
authors: Peschke-Schmitz
authors: University of Wisconsin-Madison, USA.
authors: Matt
authors: M
authors: Sutterer
authors: University of Wisconsin-Madison, USA.
authors: Andrew L
authors: AL
authors: Alexander
authors: University of Wisconsin-Madison, USA.
authors: Richard J
authors: RJ
authors: Davidson
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D001921:Brain / Q000033:anatomy & histology*; D006801:Humans; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008279:Magnetic Resonance Imaging / Q000379:methods*; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013382:Subtraction Technique