We define two geometric measures that enrich the Betti numbers of a binary volume. They are uniquely defined up to a choice of connectivity relation and ...

Feb 23, 2017 · Abstract. Given a binary object (2D or 3D), its Betti numbers char- acterize the number of holes in each dimension. They are obtained alge-.

They are obtained algebraically, and even though they are perfectly defined, there is no unique way to display these holes. We propose two geometric measures ...

They are obtained algebraically, and even though they are perfectly defined, there is no unique way to display these holes. We propose two geometric measures ...

Two geometric measures are proposed for the holes of a binary object, which are uniquely defined and try to compensate the loss of geometric information ...

González Lorenzo, A., Bac, A., Mari, J. y Real Jurado, P. (2016). Two Measures for the Homology Groups of Binary Volumes. En DGCI 2016: 19th IAPR International ...

Two Measures for the Homology Groups of Binary Volumes. Chapter © 2016. Keywords. Simplicial Complex · Chain Complex · Homology Group · Klein Bottle · Smith ...

Two ... 0, 1, 0, 4, 1, 0, 0. File Visits. Views. Two measures for the homology groups of binary volumes.pdf, 26. Top country views. Views. United States, 31.

We develop a method for measuring homology classes. This involves two problems. First, we define the size of a homology class, using ideas from relative ...