Finite Element Surface Registration Incorporating Curvature, Volume Preservation, and Statistical Model Information
نویسندگان
چکیده
منابع مشابه
Finite Element Surface Registration Incorporating Curvature, Volume Preservation, and Statistical Model Information
We present a novel method for nonrigid registration of 3D surfaces and images. The method can be used to register surfaces by means of their distance images, or to register medical images directly. It is formulated as a minimization problem of a sum of several terms representing the desired properties of a registration result: smoothness, volume preservation, matching of the surface, its curvat...
متن کاملPhysical model-based non-rigid registration incorporating statistical shape information
This paper describes two new atlas-based methods of 2D single modality non-rigid registration using the combined power of physical and statistical shape models. The transformations are constrained to be consistent with the physical properties of deformable elastic solids in the first method and those of viscous fluids in the second, to maintain smoothness and continuity. A Bayesian formulation,...
متن کاملElastic Model Based Non-Rigid Registration Incorporating Statistical Shape Information
This paper describes a new method of non-rigid registration using the combined power of elastic and statistical shape models. The transformations are constrained to be consistent with a physical model of elasticity to maintain smoothness and continuity. A Bayesian formulation, based on this model, on an intensity similarity measure, and on statistical shape information embedded in corresponding...
متن کاملA Finite Element Method for Volume-surface Reaction-diffusion Systems
We consider the numerical simulation of coupled volume-surface reaction-diffusion systems having a detailed balance equilibrium. Based on the conservation of mass, an appropriate quadratic entropy functional is identified and an entropy-entropy dissipation inequality is proven. This allows us to show exponential convergence of solutions to equilibrium by the entropy method. We then investigate ...
متن کاملAn Adaptive Surface Finite Element Method Based on Volume Meshes
In this paper we define an adaptive version of a recently introduced finite element method for numerical treatment of elliptic partial differential equations defined on surfaces. The method makes use of a (standard) outer volume mesh to discretize an equation on a two-dimensional surface embedded in R3. Extension of the equation from the surface is avoided, but the number of degrees of freedom ...
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: Computational and Mathematical Methods in Medicine
سال: 2013
ISSN: 1748-670X,1748-6718
DOI: 10.1155/2013/674273