Let $E$ be a set. Let $(A_i){1 \leq i \leq n}$ be a finite sequence of disjoint subsets of $E$, and let $(f_i){1 \leq i \leq n}$ be a finite sequence of real-valued ...

I just noticed that the textbook lacks an example relevant to this exercise group, which is a type of problem we frequently assess: Given a piecewise-defined function, we want to know if it is ...

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 ...

Abstract: Piecewise smooth (PWS) images (e.g., depth maps or animation images) contain unique signal characteristics such as sharp object boundaries and slowly varying interior surfaces. Leveraging on ...