A new fast algorithm to compute continuous moments defined in a rectangular region

Nwali, Marcel; Liao, Simon

doi:10.1016/j.patcog.2019.01.001

Cited by 16 publications

(6 citation statements)

References 28 publications

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“…Note that both cases are common in DIR. Therefore, we suggest that high-precision numerical integration methods, e.g., pseudo up-sampling [38] and Gaussian quadrature rule [39], should be introduced depending on the application requirements. Such strategies can be uniformly formulated as follows.…”

Section: Accurate Computationmentioning

confidence: 99%

A Principled Design of Image Representation: Towards Forensic Tasks

Qi,

Zhang,

Wang

et al. 2022

Preprint

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Image forensics is a rising topic as the trustworthy multimedia content is critical for modern society. Like other vision-related applications, forensic analysis relies heavily on the proper image representation. Despite the importance, current theoretical understanding for such representation remains limited, with varying degrees of neglect for its key role. For this gap, we attempt to investigate the forensic-oriented image representation as a distinct problem, from the perspectives of theory, implementation, and application. Our work starts from the abstraction of basic principles that the representation for forensics should satisfy, especially revealing the criticality of robustness, interpretability, and coverage. At the theoretical level, we propose a new representation framework for forensics, called dense invariant representation (DIR), which is characterized by stable description with mathematical guarantees. At the implementation level, the discrete calculation problems of DIR are discussed, and the corresponding accurate and fast solutions are designed with generic nature and constant complexity. We demonstrate the above arguments on the dense-domain pattern detection and matching experiments, providing comparison results with state-of-the-art descriptors. Also, at the application level, the proposed DIR is initially explored in passive and active forensics, namely copy-move forgery detection and perceptual hashing, exhibiting the benefits in fulfilling the requirements of such forensic tasks.

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Section: Accurate Computationmentioning

confidence: 99%

A Principled Design of Image Representation: Towards Forensic Tasks

Qi,

Zhang,

Wang

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Therefore, by further dividing a single pixel region into multiple smaller integration intervals (e.g., 3 × 3 sub-intervals), higher accuracy can be easily obtained. This strategy is often called pseudo up-sampling [46,47]. When the ZOA is used in these sub-intervals, the integral can be expressed as…”

Section: A Accurate Calculationmentioning

confidence: 99%

A Survey of Orthogonal Moments for Image Representation: Theory, Implementation, and Evaluation

Qi,

Zhang,

Wang

et al. 2021

Preprint

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Image representation is an important topic in computer vision and pattern recognition. It plays a fundamental role in a range of applications towards understanding visual contents. Moment-based image representation has been reported to be effective in satisfying the core conditions of semantic description due to its beneficial mathematical properties, especially geometric invariance and independence. This paper presents a comprehensive survey of the orthogonal moments for image representation, covering recent advances in fast/accurate calculation, robustness/invariance optimization, and definition extension. We also create a software package for a variety of widely-used orthogonal moments and evaluate such methods in a same base. The presented theory analysis, software implementation, and evaluation results can support the community, particularly in developing novel techniques and promoting realworld applications.

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“…For each input image, the proposed method compares the combination of results of three text detection methods for detecting texts in distorted social media images. In order to compare the results of combination, motivated by the method [19,20] where it is shown that Hu moments are independent of character position, size or orientation and insensitive to variations in shapes, we explore the same Hu moments to tackle the challenges posed by images of different quality. It is true that due to variations in quality, it is not hard to find a match between the same pixels in text detection results.…”

Section: Related Workmentioning

confidence: 99%

New Moments Based Fuzzy Similarity Measure for Text Detection in Distorted Social Media Images

Roy

Shivakumara

Pal

et al. 2020

Lecture Notes in Computer Science

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A trend towards capturing or filming images using cellphone and sharing images on social media is a part and parcel of day to day activities of humans. When an image is forwarded several times in social media it may be distorted a lot due to several different devices. This work deals with text detection from such distorted images. In this work, we consider images pass through three mobile devices on WhatsApp social media, which results in four images (including the original image) Unlike the existing methods that aim at developing new ways, we utilize the results detected by the existing ones to improve performances. The proposed method extracts Hu moments and fuzzy logic from detected texts of images. The similarity between text detection results given by three existing text detection methods is studied for determining the best pair of texts. The same similarity estimation is then used in a novel way to remove extra background or nontexts and restoring missing text information. Experimental results on own dataset and benchmark datasets of natural scene images, namely, MSRA-TD500, ICDAR2017-MLT, Total-Text, CTW1500 dataset and COCO datasets, show that the proposed method outperforms the existing methods.

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A new fast algorithm to compute continuous moments defined in a rectangular region

Cited by 16 publications

References 28 publications

A Principled Design of Image Representation: Towards Forensic Tasks

A Principled Design of Image Representation: Towards Forensic Tasks

A Survey of Orthogonal Moments for Image Representation: Theory, Implementation, and Evaluation

New Moments Based Fuzzy Similarity Measure for Text Detection in Distorted Social Media Images

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