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We propose a new methodology to design first-order methods for unconstrained strongly convex problems. Specifically, instead of tackling the original objective directly, we construct a shifted objective function that has the same minimizer…

Machine Learning · Computer Science 2020-10-22 Kaiwen Zhou , Anthony Man-Cho So , James Cheng

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

Numerical Analysis · Mathematics 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

Image segmentation plays a crucial role in extracting objects of interest and identifying their boundaries within an image. However, accurate segmentation becomes challenging when dealing with occlusions, obscurities, or noise in corrupted…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Daoping Zhang , Xue-Cheng Tai , Lok Ming Lui

State-of-the-art image segmentation algorithms generally consist of at least two successive and distinct computations: a boundary detection process that uses local image information to classify image locations as boundaries between objects,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Michał Januszewski , Jeremy Maitin-Shepard , Peter Li , Jörgen Kornfeld , Winfried Denk , Viren Jain

In this paper, we propose a solution for a fundamental problem in computational harmonic analysis, namely, the construction of a multiresolution analysis with directional components. We will do so by constructing subdivision schemes which…

Numerical Analysis · Mathematics 2007-10-16 Gitta Kutyniok , Tomas Sauer

Recent efforts to accelerate first-order methods have focused on convex optimization problems that satisfy a geometric property known as error-bound condition, which covers a broad class of problems, including piece-wise linear programs and…

Optimization and Control · Mathematics 2025-10-16 Qihang Lin , Negar Soheili , Runchao Ma , Selvaprabu Nadarajah

In this paper, we propose high order numerical methods to solve a 2D advection diffusion equation, in the highly oscillatory regime. We use an integrator strategy that allows the construction of arbitrary high-order schemes {leading} to an…

Numerical Analysis · Mathematics 2024-11-11 Clarissa Astuto

Recently, some correlation filter based trackers with detection proposals have achieved state-of-the-art tracking results. However, a large number of redundant proposals given by the proposal generator may degrade the performance and speed…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Luo Xiong , Yanjie Liang , Yan Yan , Hanzi Wang

We propose a light-weight video frame interpolation algorithm. Our key innovation is an instance-level supervision that allows information to be learned from the high-resolution version of similar objects. Our experiment shows that the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Liangzhe Yuan , Yibo Chen , Hantian Liu , Tao Kong , Jianbo Shi

Image co-segmentation is a challenging task in computer vision that aims to segment all pixels of the objects from a predefined semantic category. In real-world cases, however, common foreground objects often vary greatly in appearance,…

Computer Vision and Pattern Recognition · Computer Science 2018-05-16 Wei Teng , Yu Zhang , Xiaowu Chen , Jia Li , Zhiqiang He

Aiming at better representing multivariate relationships, this paper investigates a motif dimensional framework for higher-order graph learning. The graph learning effectiveness can be improved through OFFER. The proposed framework mainly…

Social and Information Networks · Computer Science 2020-08-31 Shuo Yu , Feng Xia , Jin Xu , Zhikui Chen , Ivan Lee

In this work we discuss the known algorithms for linear colour segmentation based on a physical approach and propose a new modification of segmentation algorithm. This algorithm is based on a region adjacency graph framework without a…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Anna Smagina , Valentina Bozhkova , Sergey Gladilin , Dmitry Nikolaev

We propose an adaptive accelerated gradient method for solving smooth convex optimization problems. The method incorporates a scheme to determine the step size adaptively, by means of a local estimation of the smoothness constant, which is…

Optimization and Control · Mathematics 2025-12-24 Zepeng Wang , Juan Peypouquet

We transpose an optimal control technique to the image segmentation problem. The idea is to consider image segmentation as a parameter estimation problem. The parameter to estimate is the color of the pixels of the image. We use the…

Numerical Analysis · Mathematics 2011-05-24 Hend Ben Ameur , Guy Chavent , Francois Clément , Pierre Weis

Piecewise constant image approximations of sequential number of segments or clusters of disconnected pixels are treated. The method of majorizing of optimal approximation sequence by hierarchical sequence of image approximations is…

Computer Vision and Pattern Recognition · Computer Science 2013-10-02 M. Kharinov

Computer Vision is growing day by day in terms of user specific applications. The first step of any such application is segmenting an image. In this paper, we propose a novel and grass-root level image segmentation algorithm for cases in…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Viraj Mavani , Ayesha Gurnani , Jhanvi Shah

3D point cloud segmentation aims to assign semantic labels to individual points in a scene for fine-grained spatial understanding. Existing methods typically adopt data augmentation to alleviate the burden of large-scale annotation.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Hongbin Lin , Yifan Jiang , Juangui Xu , Jesse Jiaxi Xu , Yi Lu , Zhengyu Hu , Ying-Cong Chen , Hao Wang

We consider the problem of planning views for a robot to acquire images of an object for visual inspection and reconstruction. In contrast to offline methods which require a 3D model of the object as input or online methods which rely on…

Robotics · Computer Science 2019-10-07 Selim Engin , Eric Mitchell , Daewon Lee , Volkan Isler , Daniel D. Lee

This article presents a reduced-order modeling methodology via deep convolutional neural networks (CNNs) for shape optimization applications. The CNN provides a nonlinear mapping between the shapes and their associated attributes while…

Optimization and Control · Mathematics 2022-02-16 Wrik Mallik , Neil Farvolden , Jasmin Jelovica , Rajeev K. Jaiman

Image segmentation is a key topic in image processing and computer vision with applications such as scene understanding, medical image analysis, robotic perception, video surveillance, augmented reality, and image compression, among many…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Shervin Minaee , Yuri Boykov , Fatih Porikli , Antonio Plaza , Nasser Kehtarnavaz , Demetri Terzopoulos