The box-counting (BC) algorithm is one of the most popular methods for calculating fractal dimension (FD) binary data. FD analysis has many important applications in biomedical field, such as cancer detection from 2D computed axial tomography images, Alzheimer’s disease diagnosis magnetic resonance 3D volumetric data, and consciousness states characterization based on 4D data extracted electroe...

In recent years, the volumetric sce computer vision. In computer gra structures of 2D human-body med Tomography (CT). On the other ha of 2D images in computer vision. sometimes needed. For example, volume rendering, or empty regio propose a fast carving algorithm memory usage is minimized by usi experiments show that we can ca speed is not affected by the comple

Many scientific applications including molecular dynamics (MD) require a fast fourier transform (FFT). As the number of processors for high performance computer increases this transform has to be parallelized to larger number of processors to remove it as a bottleneck for the parallelization. This requires the decomposition to be changed from 1D to 2D. Such a 2D decomposed 3D FFT was implemente...

Two-dimensional (2D) materials of atomic thickness have emerged as nano-building blocks to develop high-performance separation membranes that feature unique nanopores and/or nanochannels. These 2D-material membranes exhibit extraordinary permeation properties, opening a new avenue to ultra-fast and highly selective membranes for water and gas separation. Summarized in this Minireview are the la...