A Novel Algorithm to Optimize Image Scaling in OpenCV: Emulation of Floating Point Arithmetic in Bilinear Interpolation

Precision Arithmetic: A New Floating-Point Arithmetic

A new deterministic floating-point arithmetic called precision arithmetic is developed to track precision for arithmetic calculations. It uses a novel rounding scheme to avoid the excessive rounding error propagation of conventional floating-point arithmetic. Unlike interval arithmetic, its uncertainty tracking is based on statistics and the central limit theorem, with a much tighter bounding r...

Floating-Point Arithmetic

Elements of Floating-point Arithmetic

New directions in floating-point arithmetic

o Konrad Zuse’s Z1, Z3, and Z4 (1936–1945): 22-bit (Z1 and Z3) and 32-bit Z4 with exponent range of 2±63 ≈ 10±19 o Burks, Goldstine, and von Neumann (1946) argued against floating-point arithmetic o It is difficult today to appreciate that probably the biggest problem facing programmers in the early 1950s was scaling numbers so as to achieve acceptable precision from a fixed-point machine, Mart...

A Novel NeighShrink Correction Algorithm in Image Denoising

Image denoising as a pre-processing stage is a used to preserve details, edges and global contrast without blurring the corrupted image. Among state-of-the-art algorithms, block shrinkage denoising is an effective and compatible method to suppress additive white Gaussian noise (AWGN). Traditional NeighShrink algorithm can remove the Gaussian noise significantly, but loses the edge information i...