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Processing Images with Hexagonal Pixels

Moradi Davijani, Nooshin | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47890 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Mahdavi Amiri, Nezameddin
  7. Abstract:
  8. Image processing is very important in several applications. Here we use a rectangular grid for image processing. Other approaches exist in the literature. One new approach is to change the grid from rectangular to hexagonal, due to its various advantages over the latter. Main advantage of the hexagonal structure in image processing is its resemblance with the arrangement of photoreceptors in the human eyes. The change in arrangement amounts to requiring less pixels. There is no inconsistency in pixel connectivity and thus angular resolution is higher in this arrangement. Our goal here is to study lossless compression algorithms for images with hexagonal pixels. First, we consider the transformation between orthogonal and hexagonal lattices. Then, describe an algorithm recently proposed in the literature for lossless compression of such images. Also, here we present a new lossless compression algorithm based on integer wavelet transform that is efficient enough both in terms of consumed computational resources and in terms of the obtained compression ratio. This allows for efficient implementation, suitable for practical applications. Finally, we implement the algorithms in Matlab software and compare the performances of the described methods here along with each other and with PNG and JPEG 2000 lossless algorithms
  9. Keywords:
  10. Image Processing ; Lossless Compression ; Digital Image Processing ; Hexagonal Pixels ; Integer Wavelete Transform

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