Hexagonal Image Processing: A Practical Approach / Edition 1

by Lee Middleton, Jayanthi Sivaswamy

Overview

The sampling lattice used to digitize continuous image data is a significant determinant of the quality of the resulting digital image, and therefore, of the efficacy of its processing. The nature of sampling lattices is intimately tied to the tessellations of the underlying continuous image plane. To allow uniform sampling of arbitrary size images, the lattice needs to correspond to a regular - spatially repeatable - tessellation. Although drawings and paintings from many ancient civilisations made ample use of regular triangular, square and hexagonal tessellations, and Euler later proved that these three are indeed the only three regular planar tessellations possible, sampling along only the square lattice has found use in forming digital images. The reasons for these are varied, including extensibility to higher dimensions, but the literature on the ramifications of this commitment to the square lattice for the dominant case of planar data is relatively limited. There seems to be neither a book nor a survey paper on the subject of alternatives. This book on hexagonal image processing is therefore quite appropriate. Lee Middleton and Jayanthi Sivaswamy well motivate the need for a concerted study of hexagonal lattice and image processing interms of their known uses in biological systems, as well as computational and other theoretical and practical advantages that accrue from this approach. They present the state of the art of hexagonal image processing and a comparative study of processing images sampled using hexagonal and square grids.

Product Details

ISBN-13:	9781852339142
Publisher:	Springer London
Publication date:	07/13/2005
Series:	Advances in Computer Vision and Pattern Recognition
Edition description:	2005
Pages:	254
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Current approaches to vision.- The Proposed HIP Framework.- Image processing within the HIP framework.- Applications of the HIP framework.- Practical aspects of hexagonal image processing.- Processing images on square and hexagonal grids - a comparison.- Conclusion.

Editorial Reviews

From the reviews:

"Middleton and Sivaswamy have attempted to provide a comprehensive survey of the existing literature and a sound theoretical basis for using hexagonal sampling in image processing. … By covering all of the areas of image processing that a basic image processing text would cover, the authors have succeeded in providing a good reference and a framework for students interested in processing images using hexagonal sampling. The authors provide several examples of advantages of processing using the hexagonal sampling grid over a square sampling grid." (Gopinath Kuduvalli, Computing Reviews, December, 2006)

From the Publisher