Evidence map›Paper›PMID 36673189›Full record

ArticleEntropy (Basel, Switzerland)2022

Why Shape Coding? Asymptotic Analysis of the Entropy Rate for Digital Images.

Gangtao Xin, Pingyi Fan, Khaled B Letaief

Abstract read
In one paragraph

Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Gangtao XinDepartment of Electronic Engineering, Tsinghua University, Beijing 100084, China.ORCID 0000-0002-8168-6870
Pingyi FanDepartment of Electronic Engineering, Tsinghua University, Beijing 100084, China.ORCID 0000-0002-0658-6079
Khaled B LetaiefDepartment of Electrical and Computer Engineering, Hong Kong University of Science and Technology (HKUST), Hong Kong.ORCID 0000-0003-2519-6401

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This paper focuses on the ultimate limit theory of image compression. It proves that for an image source, there exists a coding method with shapes that can achieve the entropy rate under a certain condition where the shape-pixel ratio in the encoder/decoder is O(1/logt). Based on the new finding, an image coding framework with shapes is proposed and proved to be asymptotically optimal for stationary and ergodic processes. Moreover, the condition O(1/logt) of shape-pixel ratio in the encoder/decoder has been confirmed in the image database MNIST, which illustrates the soft compression with shape coding is a near-optimal scheme for lossless compression of images.

Indexed as

asymptotic boundsentropy rateimage compressioninformation theorylimit theorem

Identifiers

PMID36673189
PMCPMC9857653

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.