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Related papers: Invertible Orientation Scores of 3D Images

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The enhancement and detection of elongated structures in noisy image data is relevant for many biomedical imaging applications. To handle complex crossing structures in 2D images, 2D orientation scores $U: \mathbb{R} ^ 2\times S ^ 1…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 M. H. J. Janssen , A. J. E. M. Janssen , E. J. Bekkers , J. Olivan Bescos , R. Duits

Enhancement of multiple-scale elongated structures in noisy image data is relevant for many biomedical applications but commonly used PDE-based enhancement techniques often fail at crossings in an image. To get an overview of how an image…

Analysis of PDEs · Mathematics 2014-02-26 U. Sharma , R. Duits

We axiomatically derive a family of wavelets for an orientation score, lifting from position space $\mathbb{R}^2$ to position and orientation space $\mathbb{R}^2\times S^1$, with fast reconstruction property, that minimise…

Differential Geometry · Mathematics 2025-10-24 Finn M. Sherry , Chase van de Geijn , Erik J. Bekkers , Remco Duits

We propose the multiview wavelets based on voxel patterns of autostereoscopic multiview displays. Direct and inverse continuous wavelet transforms of binary and gray-scale images were performed. The input to the inverse wavelet transform…

Computer Vision and Pattern Recognition · Computer Science 2022-05-13 Vladimir Saveljev

Due to the emergence of new high resolution numerical weather prediction (NWP) models and the availability of new or more reliable remote sensing data, the importance of efficient spatial verification techniques is growing. Wavelet…

Atmospheric and Oceanic Physics · Physics 2017-04-05 Michael Weniger , Florian Kapp , Petra Friederichs

Recent work has shown good recognition results in 3D object recognition using 3D convolutional networks. In this paper, we show that the object orientation plays an important role in 3D recognition. More specifically, we argue that objects…

Computer Vision and Pattern Recognition · Computer Science 2017-10-23 Nima Sedaghat , Mohammadreza Zolfaghari , Ehsan Amiri , Thomas Brox

Invariant scattering transform introduces new area of research that merges the signal processing with deep learning for computer vision. Nowadays, Deep Learning algorithms are able to solve a variety of problems in medical sector. Medical…

Image and Video Processing · Electrical Eng. & Systems 2023-07-12 Nafisa Labiba Ishrat Huda , Angona Biswas , MD Abdullah Al Nasim , Md. Fahim Rahman , Shoaib Ahmed

Orientation estimation is a fundamental task in 3D shape analysis which consists of estimating a shape's orientation axes: its side-, up-, and front-axes. Using this data, one can rotate a shape into canonical orientation, where its…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Christopher Scarvelis , David Benhaim , Paul Zhang

Super-resolution mapping of the 3D orientation of fluorophores reveals the alignment of biological structures where the fluorophores are tightly attached, and thus plays a vital role in studying the organization and dynamics of…

Optics · Physics 2024-01-23 Xiaowei Liu , Mingwei Tang , Ning Zhou , Chenlei Pang , Zhong Wen , Xu Liu , Qing Yang

Recently, the reference functions for the synthesis and analysis of the autostereoscopic multiview and integral images in three-dimensional displays we introduced. In the current paper, we propose the wavelets to analyze such images. The…

Computer Vision and Pattern Recognition · Computer Science 2016-10-13 Vladimir Saveljev

Detecting oriented objects along with estimating their rotation information is one crucial step for analyzing remote sensing images. Despite that many methods proposed recently have achieved remarkable performance, most of them directly…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Yanjie Wang , Xu Zou , Zhijun Zhang , Wenhui Xu , Liqun Chen , Sheng Zhong , Luxin Yan , Guodong Wang

Accurately estimating the orientation of pedestrians is an important and challenging task for autonomous driving because this information is essential for tracking and predicting pedestrian behavior. This paper presents a flexible Virtual…

Computer Vision and Pattern Recognition · Computer Science 2019-07-17 Jason Ku , Alex D. Pon , Sean Walsh , Steven L. Waslander

The Fourier inversion of phased coherent diffraction patterns offers images without the resolution and depth-of-focus limitations of lens-based tomographic systems. We report on our recent experimental images inverted using recent…

Graded-index optical elements are capable of shaping light precisely and in very specific ways. While classical freeform optics uses only a two-dimensional domain such as the surface of a lens, recent technological advances in laser…

Optics · Physics 2022-04-06 Nicolas Barré , Alexander Jesacher

Wavelets are closely related to the Schr\"odinger's wave functions and the interpretation of Born. Similarly to the appearance of atomic orbital, it is proposed to combine anti-symmetric wavelets into orbital wavelets. The proposed approach…

Signal Processing · Electrical Eng. & Systems 2020-10-02 H. M. de Oliveira , V. V. Vermehren , R. J. Cintra

3D image processing constitutes nowadays a challenging topic in many scientific fields such as medicine, computational physics and informatics. Therefore, development of suitable tools that guaranty a best treatment is a necessity.…

Numerical Analysis · Computer Science 2018-05-22 Malika Jallouli , Wafa Bel Hadj Khalifa , Anouar Ben Mabrouk , Mohamed Ali Mahjoub

X-ray Bragg coherent diffraction imaging has been demonstrated as a powerful three-dimensional (3D) microscopy approach for the investigation of sub-micrometer-scale crystalline particles. It is based on the measurement of a series of…

Recent work introduced a unified framework for steerable and directional wavelets in two and three dimensions that ensures many desirable properties, such as a multi-scale structure, fast transforms, and a flexible angular localization. We…

Numerical Analysis · Computer Science 2018-05-08 Christian Lessig

The two-dimensional (2D) orientation field transform has been proved to be effective at enhancing 2D contours and curves in images by means of top-down processing. It, however, has no counterpart in three-dimensional (3D) images due to the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Wai-Tsun Yeung , Xiaohao Cai , Zizhen Liang , Byung-Ho Kang

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari
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