Algebra of Geometric Filters Defined over Three Dimenisonal Rectangular Lattice-PartI

Towheed Sultana; E. Rajan

Advances in Computer Science and Information Technology. Computer Science and Information Technology. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part III

Research Article

Algebra of Geometric Filters Defined over Three Dimenisonal Rectangular Lattice-PartI

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@INPROCEEDINGS{10.1007/978-3-642-27317-9_11,
    author={Towheed Sultana and E. Rajan},
    title={Algebra of Geometric Filters Defined over Three Dimenisonal Rectangular Lattice-PartI},
    proceedings={Advances in Computer Science and Information Technology. Computer Science and Information Technology. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part III},
    proceedings_a={CCSIT PART  III},
    year={2012},
    month={11},
    keywords={Geometric Filters 3-D image processing Image Algebra Extended Topology Topological Filters},
    doi={10.1007/978-3-642-27317-9_11}
}

Towheed Sultana
E. Rajan
Year: 2012
Algebra of Geometric Filters Defined over Three Dimenisonal Rectangular Lattice-PartI
CCSIT PART III
Springer
DOI: 10.1007/978-3-642-27317-9_11

Towheed Sultana¹^,*, E. Rajan¹^,*

1: Pentagram Research Centre Pvt. Ltd.

*Contact email: tow_sul@yahoo.com, rajan_eg@yahoo.co.in

Abstract

This paper gives a novel concept of what we call as Geometric Filters defined over a 3-D rectangular grid of pixels. These G-Filters have potential applications to processing of volumetric images. In addition, the paper describes in brief the algebra of G-Filters by formulating a lattice of convex polyhedrons constructed in a 3X3X3 grid of pixels. The results are visualized as a distributive lattice. The lattice also contains its proper envelopes as its successors.

Keywords: Geometric Filters 3-D image processing Image Algebra Extended Topology Topological Filters

Published: 2012-11-09

: http://dx.doi.org/10.1007/978-3-642-27317-9_11