Journal of Mathematical Imaging and Vision
Image and Vision Computing
A Robust Technique for Background Subtraction and Shadow Elimination in Traffic Video Sequence
IEA/AIE '09 Proceedings of the 22nd International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems: Next-Generation Applied Intelligence
Mapping equivalence for symbolic sequences: theory and applications
IEEE Transactions on Signal Processing
Context-based embedded image compression using binary wavelet transform
Image and Vision Computing
Directional Binary Wavelet Patterns for Biomedical Image Indexing and Retrieval
Journal of Medical Systems
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We construct a theory of binary wavelet decompositions of finite binary images. The new binary wavelet transform uses simple module-2 operations. It shares many of the important characteristics of the real wavelet transform. In particular, it yields an output similar to the thresholded output of a real wavelet transform operating on the underlying binary image. We begin by introducing a new binary field transform to use as an alternative to the discrete Fourier transform over GF(2). The corresponding concept of sequence spectra over GF(2) is defined. Using this transform, a theory of binary wavelets is developed in terms of two-band perfect reconstruction filter banks in GF(2). By generalizing the corresponding real field constraints of bandwidth, vanishing moments, and spectral content in the filters, we construct a perfect reconstruction wavelet decomposition. We also demonstrate the potential use of the binary wavelet decomposition in lossless image coding