In the following table, two lists (abscissa of the nodes and the expressions between and outside the breakpoints), the piecewise function 𝑓(𝑥) is given. Construct a piecewise function of two ...

A piecewise function is defined by multiple sub-functions, each applicable over a specific interval of the domain. These intervals are often called "pieces" of the function's domain. Each piece ...

In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...

Abstract: In this work, we study the sampling of piecewise smooth- graph signals that exhibit an inhomogeneous level of smoothness over the graph and are characterized by have abrupt, localized ...

This repo contains some Python tooling to simplify linear combinations of piecewise linear functions, then finally emit them (and their first derivatives) as Excel formulas. The motivating application ...

Abstract: Proposes an algorithm to find piecewise linear skeletons of handwritten characters by using principal curves. The development of the method was inspired by the apparent similarity between ...