We study representations of piecewise-smooth signals on graphs. We first define classes for smooth, piecewise-constant, and piecewise-smooth graph signals, followed by a series of multiresolution ...

The function name isn't romanized (#194), but it appears to work the same as abs (x)/x. As for the sine curve not reaching the endpoint in that example, that's because you don't have enough sample ...

We consider piecewise H¹ functions and vector fields associated with a class of meshes generated by independent refinements and show that they can be effectively analyzed in terms of the number of ...

Discrete Ricci curvature formulations offer novel perspectives for characterizing geometric properties of weighted graphs. This work proposes continuous piecewise linear Ricci curvature flows and ...

We define two functions f and g on the unit interval [0, 1] to be strongly conjugate $\operatorname {iff}$ there is an order-preserving homeomorphism h of [0, 1] such that g = h -1 fh (a minor ...

Wendland, H. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Advances in Computational Mathematics 1995;4389-396.