Abstract. Given two simplicial complexes C1 and C2 embedded in Euclidean space IRd , C1 subdivides C2 if (i) C1 and C2 have the same underlying space, and (ii) every simplex in C1 ...
Building on the work of Martinetz, Schulten and de Silva, Carlsson, we introduce a 2-parameter family of witness complexes and algorithms for constructing them. This family can be ...
Dominique Attali, Herbert Edelsbrunner, John Harer...
We develop fast algorithms for computing the linking number of a simplicial complex within a filtration. We give experimental results in applying our work toward the detection of...
When estimating foreground and background layers (or equivalently an alpha matte), it is often the case that pixel measurements contain mixed colours which are a combination of for...
Yonatan Wexler, Andrew W. Fitzgibbon, Andrew Zisse...
To increase the relevancy of local patterns discovered from noisy relations, it makes sense to formalize error-tolerance. Our starting point is to address the limitations of state...