Smoothing and non-smoothing via a flow tangent to the Ricci flow

GEOMETRIZATION OF HEAT FLOW ON VOLUMETRICALLY ISOTHERMAL MANIFOLDS VIA THE RICCI FLOW

The present article serves the purpose of pursuing Geometrization of heat flow on volumetrically isothermal manifold by means of RF approach. In this article, we have analyzed the evolution of heat equation in a 3-dimensional smooth isothermal manifold bearing characteristics of Riemannian manifold and fundamental properties of thermodynamic systems. By making use of the notions of various curva...

Smoothing images via the Beltrami flow in Hilbert space

The Beltrami flow is an effective tool for smoothing images in many computer vision tasks. However, a deep problem that is how to set the right embedding space is not solved in the Beltrami framework. In this paper, we attempt to find a suitable embedding space by a nonlinear map. First, the image space is mapped into a high-dimensional feature space whose dimension may be infinite. Then the Be...

Image smoothing and enhancement via mm/max curvature flow

We present a class of PDE-based algorithms suitable for a wide range of image processing applications. The techniques are applicable to both salt-and-pepper grey-scale noise and full-image continuous noise present in black and white images, grey-scale images, texture images and color images. At the core, the techniques rely on a level set formulation of evolving curves and surfaces and the visc...

Smoothing Vehicular Traffic Flow with VGrid

In this paper we explore a distributed application used to smooth traffic and reduce long term traffic incidents. To do this we use VGrid: an ad hoc networking and computing grid formed by leveraging inter-vehicle wireless communications. In addition to exchanging data between vehicles, VGrid actively uses pertinent data to perform computations for solving traffic-related problems. We examine t...

Ricci Flow: The Foundations via Optimal Transportation