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In the superpixel literature, the comparison of state-of-the-art methods can be biased by the non-robustness of some metrics to decomposition aspects, such as the superpixel scale. Moreover, most recent decomposition methods allow to set a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Rémi Giraud , Vinh-Thong Ta , Nicolas Papadakis

Superpixel decomposition methods are widely used in computer vision and image processing applications. By grouping homogeneous pixels, the accuracy can be increased and the decrease of the number of elements to process can drastically…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Rémi Giraud , Vinh-Thong Ta , Nicolas Papadakis

Superpixels have become very popular in many computer vision applications. Nevertheless, they remain underexploited since the superpixel decomposition may produce irregular and non stable segmentation results due to the dependency to the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Rémi Giraud , Vinh-Thong Ta , Aurélie Bugeau , Pierrick Coupé , Nicolas Papadakis

Superpixel decomposition methods are generally used as a pre-processing step to speed up image processing tasks. They group the pixels of an image into homogeneous regions while trying to respect existing contours. For all state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Rémi Giraud , Vinh-Thong Ta , Nicolas Papadakis

Sphericity and roundness are fundamental measures used for assessing object uniformity in 2D and 3D images. However, using their strict definition makes computation costly. As both 2D and 3D microscopy imaging datasets grow larger, there is…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Pawel Tomasz Pieta , Peter Winkel Rasumssen , Anders Bjorholm Dahl , Anders Nymark Christensen

In visual tracking, part-based trackers are attractive since they are robust against occlusion and deformation. However, a part represented by a rectangular patch does not account for the shape of the target, while a superpixel does thanks…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 François-Xavier Derue , Guillaume-Alexandre Bilodeau , Robert Bergevin

For many years, image over-segmentation into superpixels has been essential to computer vision pipelines, by creating homogeneous and identifiable regions of similar sizes. Such constrained segmentation problem would require a clear…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Rémi Giraud , Michaël Clément

Superpixels provide a compact region-based representation that preserves object boundaries and local structures, and have therefore been widely used in a variety of vision tasks to reduce computational cost. However, most existing…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Shuyin Xia , Meng Yang , Dawei Dai , Fan Chen , Shilin Zhao , Junwei Han , Xinbo Gao , Guoyin Wang , Wen Lu

The growing use of wide angle image capture devices and the need for fast and accurate image analysis in computer visions have enforced the need for dedicated under-representation approaches. Most recent decomposition methods segment an…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Rémi Giraud , Rodrigo Borba Pinheiro , Yannick Berthoumieu

Dimensionality reduction is a crucial technique in data analysis, as it allows for the efficient visualization and understanding of high-dimensional datasets. The circular coordinate is one of the topological data analysis techniques…

Algebraic Topology · Mathematics 2023-01-31 Taejin Paik , Jaemin Park

Shape recognition is the main challenging problem in computer vision. Different approaches and tools are used to solve this problem. Most existing approaches to object recognition are based on pixels. Pixel-based methods are dependent on…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Narges Mirehi , Maryam Tahmasbi , Alireza Tavakoli Targhi

The radius of regularity sometimes spelled as the radius of nonsingularity is a measure providing the distance of a given matrix to the nearest singular one. Despite its possible application strength this measure is still far from being…

Numerical Analysis · Mathematics 2019-05-28 David Hartman , Milan Hladik

Most of existing superpixel methods are designed to segment standard planar images as pre-processing for computer vision pipelines. Nevertheless, the increasing number of applications based on wide angle capture devices, mainly generating…

Computer Vision and Pattern Recognition · Computer Science 2021-02-16 Rémi Giraud , Rodrigo Borba Pinheiro , Yannick Berthoumieu

Super-resolution results are usually measured by full-reference image quality metrics or human rating scores. However, these evaluation methods are general image quality measurement, and do not account for the nature of the super-resolution…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Sheng Cheng

This paper adapts a popular image quality measure called structural similarity for high precision registration based tracking while also introducing a simpler and faster variant of the same. Further, these are evaluated comprehensively…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 Abhineet Singh , Mennatullah Siam , Martin Jagersand

The Assouad and lower dimensions and dimension spectra quantify the regularity of a measure by considering the relative measure of concentric balls. On the other hand, one can quantify the smoothness of an absolutely continuous measure by…

Functional Analysis · Mathematics 2021-08-04 Jonathan M. Fraser , Sascha Troscheit

Size uniformity is one of the main criteria of superpixel methods. But size uniformity rarely conforms to the varying content of an image. The chosen size of the superpixels therefore represents a compromise - how to obtain the fewest…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Radhakrishna Achanta , Pablo Márquez-Neila , Pascal Fua , Sabine Süsstrunk

Superpixel segmentation aims at dividing the input image into some representative regions containing pixels with similar and consistent intrinsic properties, without any prior knowledge about the shape and size of each superpixel. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-12-14 Hua Li , Yuheng Jia , Runmin Cong , Wenhui Wu , Sam Kwong , Chuanbo Chen

In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of relative metric regularity without assuming the completeness of the image spaces, by…

Optimization and Control · Mathematics 2013-04-30 Huynh Van Ngai , Michel A. Théra

Superpixels group perceptually similar pixels to create visually meaningful entities while heavily reducing the number of primitives for subsequent processing steps. As of these properties, superpixel algorithms have received much attention…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 David Stutz , Alexander Hermans , Bastian Leibe
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