Summability $C$ of series of surface spherical harmonics
نویسندگان
چکیده
منابع مشابه
Amygdala Surface Modeling with Weighted Spherical Harmonics
Although there are numerous publications on amygdala volumetry, so far there has not been many studies on modeling local amygdala surface shape variations in a rigorous framework. This paper present a systematic framework for modeling local amygdala shape. Using a novel surface flattening technique, we obtain a smooth mapping from the amygdala surface to a sphere. Then taking the spherical coor...
متن کاملEncoding Cortical Surface by Spherical Harmonics
There is a lack of unified statistical modeling framework for cerebral shape asymmetry analysis in literature. Most previous approaches start with flipping the 3D magnetic resonance images (MRI). The anatomical correspondence across the hemispheres is then established by registering the original image to the flipped image. A difference of an anatomical index between these two images is used as ...
متن کاملTitle: Topological Correction of Brain Surface Meshes Using Spherical Harmonics
Surface reconstruction methods allow advanced analysis of brain data beyond what can be achieved using volumetric images alone. For instance, signals from distinct functional areas within the cortical sheet can be aligned, averaged and compared across subjects, while correctly modeling the folded geometry of the cortex. Even so, automated generation of cortical surface meshes from MRI data ofte...
متن کاملSpherical Harmonics
5 Spherical Harmonics 7 5.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5.2 Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.1 Harmonic expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.2 Convolution . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1962
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1962-0138912-x