Surface Evolution under Curvature Flows
نویسندگان
چکیده
منابع مشابه
Surface Evolution under Curvature Flows
In many areas of computer vision, such as multiscale analysis and shape description, an image or surface is smoothed by a nonlinear parabolic partial differential equation to eliminate noise and to reveal the large global features. An ideal flow, or smoothing process, should not create new features. In this paper we describe in detail the effect of a number of flows on surfaces on the parabolic...
متن کاملImage Processing: Flows under Min/Max Curvature and Mean Curvature
part, based on a local decision. This approach has several We present a class of PDE-based algorithms suitable for key virtues. First, it contains only one enhancement paramimage denoising and enhancement. The techniques are applicaeter, which in most cases is automatically chosen. Second, ble to both salt-and-pepper gray-scale noise and full-image the scheme automatically picks the stopping cr...
متن کاملOn Curvature-Dependent Surface Evolution
Computer vision applications require representations for surfaces that are intrinsic and re ect the hierarchical nature of their geometric structure. Curvature-dependent ows have been successfully used for shape representation in two dimensions, principally due to a theorem on curve shortening ow stating that embedded curves evolving proportional to their curvature do not self-intersect and smo...
متن کاملTopological Entropy for Geodesic Flows under a Ricci Curvature Condition
It is known that the topological entropy for the geodesic flow on a Riemannian manifoldM is bounded if the absolute value of sectional curvature |KM | is bounded. We replace this condition by the condition of Ricci curvature and injectivity radius.
متن کاملDiffeomorphic Surface Flows: A Novel Method of Surface Evolution
We describe a new class of surface flows, diffeomorphic surface flows, induced by restricting diffeomorphic flows of the ambient Euclidean space to a surface. Different from classical surface PDE flows such as mean curvature flow, diffeomorphic surface flows are solutions of integro-differential equations in a group of diffeomorphisms. They have the potential advantage of being both topology-in...
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: Journal of Visual Communication and Image Representation
سال: 2002
ISSN: 1047-3203
DOI: 10.1006/jvci.2001.0476