# Pulse Reformation Algorithm for Leakage of Connected Operators

### Gene Stoltz, Inger Fabris-Rotelli

#### Abstract

The Discrete Pulse Transform (DPT) is a hierarchical decomposition of a signal in n-dimensions, built from iteratively applying the LULU operators. The DPT is a fairly new mathematical framework with minimal application and is prone to leakage within the domain, as are most other connected operators. Leakage is the unwanted union of two connected sets and thus provides false connectedness information regarding the data. The Pulse Reformation Framework (PRF) is developed to address the leakage problem within the DPT. It was specifically tested with circular probes and showed successful object extraction of blood cells.

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#### Paper Citation

#### in Harvard Style

Stoltz G. and Fabris-Rotelli I. (2015). **Pulse Reformation Algorithm for Leakage of Connected Operators** . In *Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2015)* ISBN 978-989-758-089-5, pages 583-590. DOI: 10.5220/0005313205830590

#### in Bibtex Style

@conference{visapp15,

author={Gene Stoltz and Inger Fabris-Rotelli},

title={Pulse Reformation Algorithm for Leakage of Connected Operators},

booktitle={Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2015)},

year={2015},

pages={583-590},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005313205830590},

isbn={978-989-758-089-5},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2015)

TI - Pulse Reformation Algorithm for Leakage of Connected Operators

SN - 978-989-758-089-5

AU - Stoltz G.

AU - Fabris-Rotelli I.

PY - 2015

SP - 583

EP - 590

DO - 10.5220/0005313205830590