Fractional box-counting approach to fractal dimension estimation Export

@proceedings{citeulike:968738, abstract = {The estimation of the fractal dimension is essential in fractal-based image segmentation, classification and shape analysis. The most popular estimation approach is based on box-counting. However, the partition and counting methods used in the regular box-counting scheme produces inaccurate results. In this paper, a more accurate fractional box-counting approach is proposed to estimate the fractal dimension in an image. By separating the concepts of base scale and counting scale, the new approach is able to use a deformable box to capture fractal property at some predetermined resolution. Preliminary results using the fractional box-counting approach have demonstrated that it is an accurate and efficient method}, author = {Feng, Jie and Lin, Wei-Chung and Chen, Chin-Tu}, citeulike-article-id = {968738}, citeulike-linkout-0 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=547197}, journal = {Pattern Recognition, 1996., Proceedings of the 13th International Conference on}, keywords = {box-counting, fractal-dimension}, pages = {854--858 vol.2}, posted-at = {2006-11-30 13:15:27}, priority = {4}, title = {Fractional box-counting approach to fractal dimension estimation}, url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=547197}, volume = {2}, year = {1996} }

TY - CONF ID - citeulike:968738 L3 - citeulike-article-id:968738 N2 - The estimation of the fractal dimension is essential in fractal-based image segmentation, classification and shape analysis. The most popular estimation approach is based on box-counting. However, the partition and counting methods used in the regular box-counting scheme produces inaccurate results. In this paper, a more accurate fractional box-counting approach is proposed to estimate the fractal dimension in an image. By separating the concepts of base scale and counting scale, the new approach is able to use a deformable box to capture fractal property at some predetermined resolution. Preliminary results using the fractional box-counting approach have demonstrated that it is an accurate and efficient method JF - Pattern Recognition, 1996., Proceedings of the 13th International Conference on EP - 858 vol.2 TI - Fractional box-counting approach to fractal dimension estimation VL - 2 SP - 854 KW - box-counting KW - fractal-dimension AU - Feng, Jie AU - Lin, Wei-Chung AU - Chen, Chin-Tu PY - 1996/// UR - http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=547197 ER -