A Non-Separable Two-Dimensional LWT for an Image Compression and Its Theoretical Analysis
Somchart Chokchaitam · Thammasat International Journal of Science and Technology · 2004
In this paper, we propose a new non-separable two-dimensional (2D) Lossless Wavelet Transform (LWT) for an image compressioh. Filter characteristics of our proposed 2D LWT are the same as those of 2D LWT based on applying two kinds of the conventional 1D LWT in horizontal and in vertical dimensions separately. However, coding performance of the proposed 2D LWT is better due to reduction of rounding effects. We theoretically analyze error in decoded image based on both 2D LWT to confirm an effectiveness of the proposed method. Both theoretical analysis and simulation results confirm the effectiveness of our proposed LWT in not only lossy coding but also lossless coding.