# Stochastic Rounding for Image Interpolation and Scan Conversion

arXiv: https://arxiv.org/abs/2110.12983 · HTML: https://mlsanity.com/paper/2110.12983/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- Builds on 5 of its 42 references that are in the map.
- First posted on arXiv 25 Oct 2021.

## Builds on (most cited first, 5 of 5)

- [RAISR: Rapid and Accurate Image Super Resolution](https://mlsanity.com/paper/1606.01299/) (2016)
- [Evaluation of Rounding Functions in Nearest-Neighbor Interpolation](https://mlsanity.com/paper/2003.06885/) (2020)
- [Software Implementation of Optimized Bicubic Interpolated Scan Conversion in Echocardiography](https://mlsanity.com/paper/2005.11269/) (2020)
- [Normalized Weighting Schemes for Image Interpolation Algorithms](https://mlsanity.com/paper/2011.08559/) (2020)
- [Advanced Image Enhancement Method for Distant Vessels and Structures in Capsule Endoscopy](https://mlsanity.com/paper/2104.03668/) (2021)

## Built on by (most cited first, 2 of 2)

- [Evaluation of Extra Pixel Interpolation with Mask Processing for Medical Image Segmentation with Deep Learning](https://mlsanity.com/paper/2302.11522/) (2023)
- [Beyond Nearest Neighbor Interpolation in Data Augmentation](https://mlsanity.com/paper/2504.01527/) (2025)

## Abstract (arXiv)

The stochastic rounding (SR) function is proposed to evaluate and demonstrate the effects of stochastically rounding row and column subscripts in image interpolation and scan conversion. The proposed SR function is based on a pseudorandom number, enabling the pseudorandom rounding up or down any non-integer row and column subscripts. Also, the SR function exceptionally enables rounding up any possible cases of subscript inputs that are inferior to a pseudorandom number. The algorithm of interest is the nearest-neighbor interpolation (NNI) which is traditionally based on the deterministic rounding (DR) function. Experimental simulation results are provided to demonstrate the performance of NNI-SR and NNI-DR algorithms before and after applying smoothing and sharpening filters of interest. Additional results are also provided to demonstrate the performance of NNI-SR and NNI-DR interpolated scan conversion algorithms in cardiac ultrasound videos.