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

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 ad...

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Bibliographic Details
Published in:arXiv.org
Main Author: Rukundo, Olivier
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 08.04.2021
Subjects:
Algorithms
Floors
Integers
Interpolation
Operators (mathematics)
Rounding
ISSN:2331-8422
Online Access:Get full text
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Summary: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.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.2104.03646