Existence and uniqueness results for the Gradient Vector Flow and geodesic active contours mixed model
نویسنده
چکیده
This article deals with the so called GVF (Gradient Vector Flow) introduced by C. Xu, J.L. Prince [14, 15]. We give existence and uniqueness results for the front propagation flow for boundary extraction that was initiated by Paragios, Mellina-Gottardo et Ralmesh [11, 12]. The model combines the geodesic active contour flow and the GVF to determine the geometric flow. The motion equation is considered within a level set formulation to result an Hamilton-Jacobi equation.
منابع مشابه
3D Reconstruction Using Cubic Bezier Spline Curves and Active Contours (Case Study)
Introduction 3D reconstruction of an object from its 2D cross-sections (slices) has many applications in different fields of sciences such as medical physics and biomedical engineering. In order to perform 3D reconstruction, at first, desired boundaries at each slice are detected and then using a correspondence between points of successive slices surface of desired object is reconstructed. Mate...
متن کاملExistence and Uniqueness of the Gradient Flow of the Entropy in the Space of Probability Measures
After a brief introduction on gradient flows in metric spaces and on geodesically convex functionals, we give an account of the proof (following the outline of [3, 7]) of the existence and uniqueness of the gradient flow of the Entropy in the space of Borel probability measures over a compact geodesic metric space with Ricci curvature bounded from below. Preprint SISSA 17/2014/MATE
متن کاملMagnetostatic Field for the Active Contour Model: A Study in Convergence
A new external velocity field for active contours is proposed. The velocity field is based on magnetostatics and hypothesised magnetic interactions between the active contour and image gradients. In this paper, we introduce the method and study its convergence capability for the recovery of shapes with complex topology and geometry, including deep, narrow concavities. The proposed active contou...
متن کاملOn the Heat flow on metric measure spaces: existence, uniqueness and stability
We prove existence and uniqueness of the gradient flow of the Entropy functional under the only assumption that the functional is λ-geodesically convex for some λ ∈ R. Also, we prove a general stability result for gradient flows of geodesically convex functionals which Γ−converge to some limit functional. The stability result applies directly to the case of the Entropy functionals on compact sp...
متن کاملAnalysis of Segmentation of Chromosome Spread Images Using Standardized Parameters in Discrete Consine Transform Based Gradient Vector Flow Active Contours
In this research, characterization of Discrete Cosine Transform (DCT) based Gradient Vector Flow (GVF) Active Contours as a boundary mapping technique for chromosome spread images is done. Statistical testing validates the experimental results of characterization. Investigations on a different dataset are carried out to validate the characterized parameters that govern the formulation of the DC...
متن کامل