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.