We propose to study two infinite graph transformations that we respectively call bounded and unbounded path transduction. These graph transformations are based on path substitutio...
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...
A flow of a commodity is said to be confluent if at any node all the flow of the commodity leaves along a single edge. In this paper we study single-commodity confluent flow pro...
Recent work on early vision such as image segmentation, image restoration, stereo matching, and optical flow models these problems using Markov Random Fields. Although this formula...