DOI: 10.18297/etd/2067
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Shape analysis of the human brain.

Abstract: DEDICATIONSometimes our light goes out but is blown into flame by another human being.Each of us owes deepest thanks to those who have rekindled this light. Autism is a complex developmental disability that has dramatically increased in prevalence, having a decisive impact on the health and behavior of children. Methods used to detect and recommend therapies have been much debated in the medical community because of the subjective nature of diagnosing autism. In order to provide an alternative method for under… Show more

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Cited by 3 publications
(2 citation statements)
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References 182 publications
(297 reference statements)
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“…In this coordinate system, the tumor’s surface may be considered a function of the polar and azimuthal angle, , which can be expressed as a linear combination of basis functions defined on the unit sphere. Starting with a discrete approximation of the surface, i.e., a triangular mesh, the proposed algorithm uses an attraction–repulsion technique [ 41 ] to map this mesh to the unit sphere. The mapping fixes the image of each mesh vertex at the unit distance from the origin, while preserving the mesh topology and maintaining the distance between adjacent vertices as much as possible.…”
Section: Methodsmentioning
confidence: 99%
“…In this coordinate system, the tumor’s surface may be considered a function of the polar and azimuthal angle, , which can be expressed as a linear combination of basis functions defined on the unit sphere. Starting with a discrete approximation of the surface, i.e., a triangular mesh, the proposed algorithm uses an attraction–repulsion technique [ 41 ] to map this mesh to the unit sphere. The mapping fixes the image of each mesh vertex at the unit distance from the origin, while preserving the mesh topology and maintaining the distance between adjacent vertices as much as possible.…”
Section: Methodsmentioning
confidence: 99%
“…In this coordinate system, the surface of the region can be deemed a function of the polar and azimuth angle, 𝑓 Ɵ, φ , which can be expressed as a linear set of base functions Yτβ specified in the unit sphere. The modeling of spherical harmonics constructs a triangulated mesh approximating the surface of the lesion, afterwards maps it to the unit sphere by employing the attraction-repulsion technique [44]. Each cycle (α) of the attraction-repulsion approach operates as follows.…”
Section: Shape Featuresmentioning
confidence: 99%