Effects of Improved Floor Function on the Accuracy of Bilinear Interpolation Algorithm

TL;DR

This paper investigates how an improved floor function, utilizing modulo operations, enhances the accuracy of bilinear interpolation compared to standard rounding methods.

Contribution

It introduces a novel improved floor function based on modulo operations and demonstrates its positive impact on bilinear interpolation accuracy.

Findings

Improved floor function yields higher interpolation accuracy.

Modulo-based floor function outperforms standard IEEE 754 rounding.

Experimental results confirm the effectiveness of the proposed method.

Abstract

In this study, the standard IEEE 754 2008 and modulo-based floor functions for rounding non-integers have been presented. Their effects on the accuracy of the bilinear interpolation algorithm have been demonstrated. The improved floor uses the modulo operator in an effort to make each non-integer addend an integer when the remainder between the multiplicative inverse of the fractional factor and the numerator is greater than zero. The experiments demonstrated relatively positive effects with the improved floor function and the alternativeness to the standard round function.