Surface Alignment of 3D Spherical Harmonic Models: Application to Cardiac MRI Analysis

Autor:	Bruce Hettleman, Rong Zhang, Fillia Makedon, Heng Huang, Li Shen, Justin D. Pearlman
Rok vydání:	2005
Předmět:	Surface (mathematics) business.industry Heart shape Spherical harmonics Basis function Ellipsoid Euler angles symbols.namesake Broyden–Fletcher–Goldfarb–Shanno algorithm Medical imaging symbols symbols.heraldic_charge Computer vision Artificial intelligence business Algorithm Mathematics
Zdroj:	Lecture Notes in Computer Science ISBN: 9783540293279 MICCAI
DOI:	10.1007/11566465_9
Popis:	The spherical harmonic (SPHARM) description is a powerful surface modeling technique that can model arbitrarily shaped but simply connected 3D objects and has been used in many applications in medical imaging. Previous SPHARM techniques use the first order ellipsoid for establishing surface correspondence and aligning objects. However, this first order information may not be sufficient in many cases; a more general method for establishing surface correspondence would be to minimize the mean squared distance between two corresponding surfaces. In this paper, a new surface matching algorithm is proposed for 3D SPHARM models to achieve this goal. This algorithm employs a useful rotational property of spherical harmonic basis functions for a fast implementation. Applications of medical image analysis (e.g., spatio-temporal modeling of heart shape changes) are used to demonstrate this approach. Theoretical proofs and experimental results show that our approach is an accurate and flexible surface correspondence alignment method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4b8ba9766c973f904817a4a03a55db9e https://doi.org/10.1007/11566465_9 Zobrazit plný text záznamu