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Variational methods in imaging are nowadays developing towards a quite universal and flexible tool, allowing for highly successful approaches on tasks like denoising, deblurring, inpainting, segmentation, super-resolution, disparity, and…

Optimization and Control · Mathematics 2014-12-16 Martin Burger , Alex Sawatzky , Gabriele Steidl

Approximation of scattered data is often a task in many engineering problems. The Radial Basis Function (RBF) approximation is appropriate for large scattered datasets in d-dimensional space. It is non-separable approximation, as it is…

Numerical Analysis · Mathematics 2018-06-13 Zuzana Majdisova , Vaclav Skala

We consider the problem of direction finding using partly calibrated arrays, a distributed subarray with position errors between subarrays. The key challenge is to enhance angular resolution in the presence of position errors. To achieve…

Signal Processing · Electrical Eng. & Systems 2022-12-12 Guangbin Zhang , Tianyao Huang , Yimin Liu , Xiqin Wang , Yonina C. Eldar

Autofocus is an important task for digital cameras, yet current approaches often exhibit poor performance. We propose a learning-based approach to this problem, and provide a realistic dataset of sufficient size for effective learning. Our…

Computer Vision and Pattern Recognition · Computer Science 2020-05-05 Charles Herrmann , Richard Strong Bowen , Neal Wadhwa , Rahul Garg , Qiurui He , Jonathan T. Barron , Ramin Zabih

We propose a new, efficient multi-scale method to decompose a map (or signal in general) into components maps that contain structures of different sizes. In the widely-used wave transform, artifacts containing negative values arise around…

Instrumentation and Methods for Astrophysics · Physics 2022-04-11 Guang-Xing Li

In camera measurement systems, specialized equipment such as telecentric lenses is often employed to measure parts with narrow tolerances. However, despite the use of such equipment, measurement errors can occur due to mechanical and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Ahmet Gokhan Poyraz , Ahmet Emir Dirik , Hakan Gurkan , Mehmet Kacmaz

This paper proposes a method for solving multivariate regression and classification problems using piecewise linear predictors over a polyhedral partition of the feature space. The resulting algorithm that we call PARC (Piecewise Affine…

Machine Learning · Computer Science 2021-03-11 Alberto Bemporad

Discrete tomography is a well-established method to investigate finite point sets, in particular finite subsets of periodic systems. Here, we start to develop an efficient approach for the treatment of finite subsets of mathematical…

Metric Geometry · Mathematics 2007-05-23 M. Baake , P. Gritzmann , C. Huck , B. Langfeld , K. Lord

In this paper, a new regularization term is proposed to solve mathematical image problems. By using difference operators in the four directions; horizontal, vertical and two diagonal directions, an estimation of derivative amplitude is…

Numerical Analysis · Mathematics 2022-09-14 Alireza Hosseini

The problem of segmenting a given image into coherent regions is important in Computer Vision and many industrial applications require segmenting a known object into its components. Examples include identifying individual parts of a…

Computer Vision and Pattern Recognition · Computer Science 2013-05-17 Srimal Jayawardena , Di Yang , Marcus Hutter

Camera calibration involves estimating camera parameters to infer geometric features from captured sequences, which is crucial for computer vision and robotics. However, conventional calibration is laborious and requires dedicated…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Kang Liao , Lang Nie , Shujuan Huang , Chunyu Lin , Jing Zhang , Yao Zhao , Moncef Gabbouj , Dacheng Tao

A new closed-form solver is proposed minimizing the algebraic error optimally, in the least-squares sense, to estimate the relative planar motion of two calibrated cameras. The main objective is to solve the over-determined case, i.e., when…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Levente Hajder , Daniel Barath

Depth position highly affects lens distortion, especially in close-range photography, which limits the measurement accuracy of existing stereo vision systems. Moreover, traditional depth-dependent distortion models and their calibration…

Computer Vision and Pattern Recognition · Computer Science 2024-05-02 Xin Ma , Puchen Zhu , Xiao Li , Xiaoyin Zheng , Jianshu Zhou , Xuchen Wang , Kwok Wai Samuel Au

A challenge in image based metrology and forensics is intrinsic camera calibration when the used camera is unavailable. The unavailability raises two questions. The first question is how to find the projection model that describes the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-15 Emil Brissman , Per-Erik Forssén , Johan Edstedt

We present a semi-sparsity model for 3D triangular mesh denoising, which is motivated by the success of semi-sparsity regularization in image processing applications. We demonstrate that such a regularization model can be also applied for…

Graphics · Computer Science 2023-05-09 Junqing Huang , Haihui Wang , Michael Ruzhansky

Differentiable render is widely used in optimization-based 3D reconstruction which requires gradients from differentiable operations for gradient-based optimization. The existing differentiable renderers obtain the gradients of rendering…

Computer Vision and Pattern Recognition · Computer Science 2019-06-20 Zaiqiang Wu , Wei Jiang

We consider the problem of unsupervised camera pose estimation. Given an input video sequence, our goal is to estimate the camera pose (i.e. the camera motion) between consecutive frames. Traditionally, this problem is tackled by placing…

Computer Vision and Pattern Recognition · Computer Science 2020-01-20 Seyed Shahabeddin Nabavi , Mehrdad Hosseinzadeh , Ramin Fahimi , Yang Wang

Nearly all 3D displays need calibration for correct rendering. More often than not, the optical elements in a 3D display are misaligned from the designed parameter setting. As a result, 3D magic does not perform well as intended. The…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Hyoseok Hwang , Hyun Sung Chang , Dongkyung Nam , In So Kweon

This paper introduces a novel approach to the fine alignment of images in a burst captured by a handheld camera. In contrast to traditional techniques that estimate two-dimensional transformations between frame pairs or rely on discrete…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Bruno Lecouat , Yann Dubois de Mont-Marin , Théo Bodrito , Julien Mairal , Jean Ponce

This paper introduces a practical and accurate calibration method for camera spectral sensitivity using a diffraction grating. Accurate calibration of camera spectral sensitivity is crucial for various computer vision tasks, including color…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Lilika Makabe , Hiroaki Santo , Fumio Okura , Michael S. Brown , Yasuyuki Matsushita