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Cutting plane methods, particularly outer approximation, are a well-established approach for solving nonlinear discrete optimization problems without relaxing the integrality of decision variables. While powerful in theory, their…

Optimization and Control · Mathematics 2025-11-04 Hòa T. Bùi , Alberto De Marchi

Dexterous in-hand manipulation (IHM) for arbitrary objects is challenging due to the rich and subtle contact process. Variable-friction manipulation is an alternative approach to dexterity, previously demonstrating robust and versatile 2D…

Robotics · Computer Science 2025-03-05 Qiyang Yan , Zihan Ding , Xin Zhou , Adam J. Spiers

Subjective image quality metrics are usually evaluated according to the correlation with human opinion in databases with distortions that may appear in digital media. However, these oversee affine transformations which may represent better…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Nuria Alabau-Bosque , Paula Daudén-Oliver , Jorge Vila-Tomás , Valero Laparra , Jesús Malo

Nonuniform Fourier data are routinely collected in applications such as magnetic resonance imaging, synthetic aperture radar, and synthetic imaging in radio astronomy. To acquire a fast reconstruction that does not require an online inverse…

Numerical Analysis · Mathematics 2016-10-05 Anne Gelb , Guohui Song

The affine Gaussian derivative model can in several respects be regarded as a canonical model for receptive fields over a spatial image domain: (i) it can be derived by necessity from scale-space axioms that reflect structural properties of…

Computer Vision and Pattern Recognition · Computer Science 2017-12-21 Tony Lindeberg

Random projections have proven extremely useful in many signal processing and machine learning applications. However, they often require either to store a very large random matrix, or to use a different, structured matrix to reduce the…

Emerging Technologies · Computer Science 2016-08-26 Alaa Saade , Francesco Caltagirone , Igor Carron , Laurent Daudet , Angélique Drémeau , Sylvain Gigan , Florent Krzakala

Inspired by the Weierstrass representation of smooth affine minimal surfaces with indefinite metric, we propose a constructive process producing a large class of discrete surfaces that we call discrete affine minimal surfaces. We show that…

Differential Geometry · Mathematics 2008-04-29 Marcos Craizer , Henri Anciaux , Thomas Lewiner

Gradient-based inverse design in photonics has already achieved remarkable results in designing small-footprint, high-performance optical devices. The adjoint variable method, which allows for the efficient computation of gradients, has…

Reflective imaging systems form an important part of photonic devices such as spectrometers, telescopes, augmented and virtual reality headsets or lithography platforms. Reflective optics provide unparalleled spectral performance and can be…

A scheme to a complex-valued acquisition of the Fourier transform imaging was proposed. The main idea is to project the real and the imaginary parts of a diffraction field to intensity distributions respectively. The whole procedure was…

Quantum Physics · Physics 2013-09-27 Minghui Zhang , Jianfei Xu , Xianfu Wang

A pseudoscopic (inverted depth) image made with spiral diffracting elements intermediated by a pinhole is explained by its symmetry properties. The whole process is made under common white light illumination and allows the projection of…

Optics · Physics 2009-11-13 Jose J. Lunazzi , Noemi I. R. Rivera , Daniel S. F. Magalhaes

Beginning with the projectively invariant method for linear programming, interior point methods have led to powerful algorithms for many difficult computing problems, in combinatorial optimization, logic, number theory and non-convex…

Numerical Analysis · Computer Science 2014-12-11 Narendra Karmarkar

Neural network architectures have been extensively employed in the fair representation learning setting, where the objective is to learn a new representation for a given vector which is independent of sensitive information. Various…

Machine Learning · Computer Science 2022-01-19 Mattia Cerrato , Marius Köppel , Alexander Segner , Stefan Kramer

A method for displaying volumetric images, which exploits our binocular vision and does not require eyewear, is discussed. The display can be rendered as a matrix of pivoting micromirrors irradiated by a light beam; each micromirror focuses…

Optics · Physics 2007-07-04 Oleg G. Semyonov

To address the issues of the existing frustum-based methods' underutilization of image information in road three-dimensional object detection as well as the lack of research on agricultural scenes, we constructed an object detection dataset…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Lili Yang , Mengshuai Chang , Xiao Guo , Yuxin Feng , Yiwen Mei , Caicong Wu

The ability to efficiently and accurately construct an inverse frame operator is critical for establishing the utility of numerical frame approximations. Recently, the admissible frame method was developed to approximate inverse frame…

Numerical Analysis · Mathematics 2015-11-11 Guohui Song , Jacqueline Davis , Anne Gelb

This paper proposes a unified vision-based manipulation framework using image contours of deformable/rigid objects. Instead of using human-defined cues, the robot automatically learns the features from processed vision data. Our method…

Robotics · Computer Science 2021-05-06 Jihong Zhu , David Navarro-Alarcon , Robin Passama , Andrea Cherubini

The circumcentered-reflection method (CRM) has been recently proposed as a methodology for accelerating several algorithms for solving the Convex Feasibility Problem (CFP), equivalent to finding a common fixed-point of the orthogonal…

Optimization and Control · Mathematics 2022-03-07 Reza Arefidamghani , Roger Behling , Alfredo N. Iusem , Luiz-Rafael Santos

In this article, we report an imaging method, termed Fourier ptychographic microscopy (FPM), which iteratively stitches together a number of variably illuminated, low-resolution intensity images in Fourier space to produce a wide-field,…

Optics · Physics 2014-05-02 Guoan Zheng , Roarke Horstmeyer , Changhuei Yang

Recent advances in implicit neural representations have achieved impressive results by sampling and fusing individual points along sampling rays in the sampling space. However, due to the explosively growing sampling space, finely…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Yuhan Ding , Fukun Yin , Jiayuan Fan , Hui Li , Xin Chen , Wen Liu , Chongshan Lu , Gang YU , Tao Chen