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We present a hybrid algorithm for optimizing a convex, smooth function over the cone of positive semidefinite matrices. Our algorithm converges to the global optimal solution and can be used to solve general large-scale semidefinite…

Machine Learning · Computer Science 2012-06-22 Soeren Laue

Symmetry is one of the significant visual properties inside an image plane, to identify the geometrically balanced structures through real-world objects. Existing symmetry detection methods rely on descriptors of the local image features…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Mohamed Elawady , Christophe Ducottet , Olivier Alata , Cecile Barat , Philippe Colantoni

Harmony in visual compositions is a concept that cannot be defined or easily expressed mathematically, even by humans. The goal of the research described in this paper was to find a numerical representation of artistic compositions with…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Adam Vandor , Marie van Vollenhoven , Gerhard Weiss , Gerasimos Spanakis

Particle tracking is common in many biophysical, ecological, and micro-fluidic applications. Reliable tracking information is heavily dependent on of the system under study and algorithms that correctly determines particle position between…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Alvaro Rodriguez , Hanqing Zhang , Krister Wiklund , Tomas Brodin , Jonatan Klaminder , Patrik Andersson , Magnus Andersson

Image harmonization aims to improve the quality of image compositing by matching the "appearance" (\eg, color tone, brightness and contrast) between foreground and background images. However, collecting large-scale annotated datasets for…

Computer Vision and Pattern Recognition · Computer Science 2021-08-19 Yifan Jiang , He Zhang , Jianming Zhang , Yilin Wang , Zhe Lin , Kalyan Sunkavalli , Simon Chen , Sohrab Amirghodsi , Sarah Kong , Zhangyang Wang

Detecting edges is a fundamental problem in computer vision with many applications, some involving very noisy images. While most edge detection methods are fast, they perform well only on relatively clean images. Indeed, edges in such…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Nati Ofir , Meirav Galun , Boaz Nadler , Ronen Basri

Optimal search strategies where targets are observed at several different angles are found. Targets are assumed to exhibit rectangular symmetry and have a uniformly-distributed orientation. By rectangular symmetry, it is meant that one side…

Optimization and Control · Mathematics 2011-06-06 François-Alex Bourque , Bao U. Nguyen

Region extraction is necessary in a wide range of applications, from object detection in autonomous driving to analysis of subcellular morphology in cell biology. There exist two main approaches: convex hull extraction, for which exact and…

Computational Geometry · Computer Science 2022-06-24 Kevin Christopher VanHorn , Murat Can Çobanoğlu

We present efficient algorithms for detecting central and mirror symmetry for the case of algebraic curves defined by means of polynomial parametrizations. The algorithms are based on the existence of a linear relationship between two…

Algebraic Geometry · Mathematics 2012-12-27 Juan G. Alcazar

The main objective of this work is to develop a miniaturized, high accuracy, single-turn absolute, rotary encoder called ASTRAS360. Its measurement principle is based on capturing an image that uniquely identifies the rotation angle. To…

Signal Processing · Electrical Eng. & Systems 2020-10-09 Lorenzo Iafolla , Massimiliano Filipozzi , Sara Freund , Azhar Zam , Georg Rauter , Philippe Claude Cattin

While automatic detection of point sources in astronomical images has experienced a great degree of success, less effort has been directed towards the detection of extended and low-surface brightness features. At present, existing…

Instrumentation and Methods for Astrophysics · Physics 2012-04-03 Christopher Hollitt , Melanie Johnston-Hollitt

In this paper we deal with contour detection based on the recent image analogy principle which has been successfully used for super-resolution, texture and curves synthesis and interactive editing. Hand-drawn outlines are initially as…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Slimane Larabi , Neil M. Robertson

Edge detection in images is the foundation of many complex tasks in computer graphics. Due to the feature loss caused by multi-layer convolution and pooling architectures, learning-based edge detection models often produce thick edges and…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Qinghui Hong , Haoyou Jiang , Pingdan Xiao , Sichun Du , Tao Li

Corner detection is a vital operation in numerous computer vision applications. The Chord-to-Point Distance Accumulation (CPDA) detector is recognized as the contour-based corner detector producing the lowest localization error while…

Computer Vision and Pattern Recognition · Computer Science 2017-08-22 Mohammad Asiful Hossain , Abdul Kawsar Tushar , Shofiullah Babor

Collisions are common in many dynamical systems with real applications. They can be formulated as hybrid dynamical systems with discontinuities automatically triggered when states transverse certain manifolds. We present an algorithm for…

Optimization and Control · Mathematics 2025-01-20 Wei Hu , Jihao Long , Yaohua Zang , Weinan E , Jiequn Han

Analog layout synthesis requires some elements in the circuit netlist to be matched and placed symmetrically. However, the set of symmetries is very circuit-specific and a versatile algorithm, applicable to a broad variety of circuits, has…

Machine Learning · Computer Science 2020-10-02 Kishor Kunal , Jitesh Poojary , Tonmoy Dhar , Meghna Madhusudan , Ramesh Harjani , Sachin S. Sapatnekar

Artificial objects usually have very stable shape features, which are stable, persistent properties in geometry. They can provide evidence for object recognition. Shape features are more stable and more distinguishing than appearance…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Hui Wei , Fu-yu Tang

An attractive approach for fast search in image databases is binary hashing, where each high-dimensional, real-valued image is mapped onto a low-dimensional, binary vector and the search is done in this binary space. Finding the optimal…

Machine Learning · Computer Science 2015-01-23 Miguel Á. Carreira-Perpiñán , Ramin Raziperchikolaei

The problem of packing equal circles in a circle is a classic and famous packing problem, which is well-studied in academia and has a variety of applications in industry. This problem is computationally challenging, and researchers mainly…

Computational Geometry · Computer Science 2023-03-09 Jianrong Zhou , Kun He , Jiongzhi Zheng , Chu-Min Li

Optimally selecting a subset of targets from a larger catalog is a common problem in astronomy and cosmology. A specific example is the selection of targets from an imaging survey for multi-object spectrographic follow-up. We present a new…

Astrophysics · Physics 2009-11-11 E. C. Elson , B. A. Bassett , K. van der Heyden , Z. Z. Vilakazi