Sub-Riemannian Mean Curvature Flow for Image Processing
نویسندگان
چکیده
منابع مشابه
Riemannian Mean Curvature Flow
In this paper we explicitly derive a level set formulation for mean curvature flow in a Riemannian metric space. This extends the traditional geodesic active contour framework which is based on conformal flows. Curve evolution for image segmentation can be posed as a Riemannian evolution process where the induced metric is related to the local structure tensor. Examples on both synthetic and re...
متن کاملConstant Mean Curvature Surfaces in Sub-riemannian Geometry
We investigate the minimal and isoperimetric surface problems in a large class of sub-Riemannian manifolds, the so-called Vertically Rigid spaces. We construct an adapted connection for such spaces and, using the variational tools of Bryant, Griffiths and Grossman, derive succinct forms of the Euler-Lagrange equations for critical points for the associated variational problems. Using the Euler-...
متن کاملImage Completion Using a Diffusion Driven Mean Curvature Flowin A Sub-Riemannian Space
In this paper we present an implementation of a perceptual completion model performed in the three dimensional space of position and orientation of level lines of an image. We show that the space is equipped with a natural subriemannian metric. This model allows to perform disocclusion representing both the occluding and occluded objects simultaneously in the space. The completion is accomplish...
متن کاملEvolution by Mean Curvature Flow in Sub-riemannian Geometries: a Stochastic Approach
We study evolution by horizontal mean curvature flow in subRiemannian geometries by using stochastic approach to prove the existence of a generalized evolution in these spaces. In particular we show that the value function of suitable family of stochastic control problems solves in the viscosity sense the level set equation for the evolution by horizontal mean curvature flow.
متن کاملSubjective Surfaces and Riemannian Mean Curvature Flow of Graphs
A geometric model for segmentation of images with missing boundaries is presented. Some classical problems of boundary completion in cognitive images, like the pop up of subjective contours in the famous triangle of Kanizsa, are faced from a surface evolution point of view. The method is based on the mean curvature evolution of a graph with respect to the Riemannian metric induced by the image....
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: SIAM Journal on Imaging Sciences
سال: 2016
ISSN: 1936-4954
DOI: 10.1137/15m1013572