Affine combination
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Fast gap-affine pairwise alignment using the wavefront algorithm Open
Motivation Pairwise alignment of sequences is a fundamental method in modern molecular biology, implemented within multiple bioinformatics tools and libraries. Current advances in sequencing technologies press for the development of faster…
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Affine Volterra processes Open
We introduce affine Volterra processes, defined as solutions of certain stochastic convolution equations with affine coefficients. Classical affine diffusions constitute a special case, but affine Volterra processes are neither semimarting…
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Networks for Joint Affine and Non-Parametric Image Registration Open
We introduce an end-to-end deep-learning framework for 3D medical image registration. In contrast to existing approaches, our framework combines two registration methods: an affine registration and a vector momentum-parameterized stationar…
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Fast generation of full analytical polygon-based computer-generated holograms Open
A fast calculation method to obtain the full-analytical frequency spectrum of a spatial triangle based on the three-dimensional (3D) affine transformation is presented. Computer-generated holograms (CGHs) of an object can then be generated…
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Extentions of Affine Arithmetic: Application to Unconstrained Global Optimization Open
Global optimization methods in connection with interval arithmetic permit to determine an accurate enclosure of the global optimum, and of all the corresponding optimizers. One of the main features of these algorithms consists in the const…
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Affine Combination of Diffusion Strategies Over Networks Open
Diffusion adaptation is a powerful strategy for distributed estimation and learning over networks. Motivated by the concept of combining adaptive filters, this work proposes a combination framework that aggregates the operation of multiple…
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Learning Low-precision Neural Networks without Straight-Through Estimator (STE) Open
The Straight-Through Estimator (STE) is widely used for back-propagating gradients through the quantization function, but the STE technique lacks a complete theoretical understanding. We propose an alternative methodology called alpha-blen…
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Affine registration of point clouds based on point-to-plane approach Open
The problem of aligning of 3D point data is the known registration task. The most popular registration algorithm is the Iterative Closest Point (ICP). This paper proposes a new algorithm for affine registration of point clouds by incorpora…
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An affine invariant approach for dense wide baseline image matching Open
Visual sensor networks have emerged as an important class of sensor-based distributed intelligent systems, where image matching is one of the key technologies. This article presents an affine invariant method to produce dense correspondenc…
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Outcome space range reduction method for global optimization of sum of affine ratios problem Open
Many algorithms for globally solving sum of affine ratios problem (SAR) are based on equivalent problem and branch-and-bound framework. Since the exhaustiveness of branching rule leads to a significant increase in the computational burden …
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Digital Affine Shear Transforms: Fast Realization and Applications in Image/Video Processing Open
In this paper, we discuss the digitization and applications of smooth affine shear tight frames, a recently developed new class of directional multiscale representation systems. An affine wavelet tight frame is generated by isotropic dilat…
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Time parameterizations and spin supplementary conditions of the Mathisson-Papapetrou-Dixon equations Open
The implications of two different time constraints on the\nMathisson-Papapetrou-Dixon (MPD) equations are discussed under three spin\nsupplementary conditions (SSC). For this reason the MPD equations are revisited\nwithout specifying the a…
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Pursuing 3-D Scene Structures With Optical Satellite Images From Affine Reconstruction to Euclidean Reconstruction Open
How to use multiple optical satellite images to recover the 3D scene\nstructure is a challenging and important problem in the remote sensing field.\nMost existing methods in literature have been explored based on the classical\nRPC (ration…
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Calibration Transfer Based on Affine Invariance for NIR without Transfer Standards Open
Calibration transfer is an important field for near-infrared (NIR) spectroscopy in practical applications. However, most transfer methods are constructed with standard samples, which are expensive and difficult to obtain. Taking this probl…
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Stochastic equation and exponential ergodicity in Wasserstein distances\n for affine processes Open
This work is devoted to the study of conservative affine processes on the\ncanonical state space $D = $R_+^m \\times \\R^n$, where $m + n > 0$. We show that\neach affine process can be obtained as the pathwise unique strong solution to a\n…
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Convex Combination of Diffusion Strategies Over Networks Open
Combining diffusion strategies with complementary properties enables enhanced performance when they can be run simultaneously. In this article, we first propose two schemes for the convex combination of two diffusion strategies, namely, th…
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An Improved Fast Affine Motion Estimation Based on Edge Detection Algorithm for VVC Open
As a newly proposed video coding standard, Versatile Video Coding (VVC) has adopted some revolutionary techniques compared to High Efficiency Video Coding (HEVC). The multiple-mode affine motion compensation (MM-AMC) adopted by VVC saves a…
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Analysis of Affine Motion-Compensated Prediction in Video Coding Open
Motion-compensated prediction is used in video coding standards like High Efficiency Video Coding (HEVC) as one key element of data compression. Commonly, a purely translational motion model is employed. In order to also cover non-translat…
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Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons Open
The homogeneous affine surfaces have been classified by Opozda. They may be grouped into 3 families, which are not disjoint. The connections which arise as the Levi-Civita connection of a surface with a metric of constant Gauss curvature f…
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Fast Affine Invariant Image Matching Open
International audience
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Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms Open
We present a fast 3D analytical affine transformation (F3DAAT) method to obtain polygon-based computer-generated holograms (CGHs). CGHs consisting of tens of thousands of triangles from 3D objects are obtained by this method. We have attem…
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Global Algorithm for Generalized Affine Multiplicative Programming Problem Open
In this paper, a new outer space rectangle branch and bound algorithm is proposed for globally solving generalized affine multiplicative programming problem. By applying the equivalent transformations and affine approximations of bilinear …
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Simultaneous Approximation on Affine Subspaces Open
We solve the convergence case of the generalized Baker–Schmidt problem for simultaneous approximation on affine subspaces, under natural diophantine type conditions. In one of our theorems, we do not require monotonicity on the approximati…
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AFFINE-PERIODIC SOLUTIONS AND PSEUDO AFFINE-PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH EXPONENTIAL DICHOTOMY AND EXPONENTIAL TRICHOTOMY Open
It is proved that every (Q, T)-affine-periodic differential equation has a (Q, T)-affine-periodic solution if the corresponding homogeneous linear equation admits exponential dichotomy or exponential trichotomy. This kind of "periodic" sol…
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Stochastic equation and exponential ergodicity in Wasserstein distances for affine processes Open
This work is devoted to the study of conservative affine processes on the canonical state space $D = $R_+^m \times \R^n$, where $m + n > 0$. We show that each affine process can be obtained as the pathwise unique strong solution to a stoch…
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Affine pure-jump processes on positive Hilbert–Schmidt operators Open
We show the existence of a broad class of affine Markov processes on the cone of positive self-adjoint Hilbert–Schmidt operators. Such processes are well-suited as infinite-dimensional stochastic covariance models. The class of processes w…
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Max-Affine Regression: Provable, Tractable, and Near-Optimal Statistical Estimation Open
Max-affine regression refers to a model where the unknown regression function is modeled as a maximum of $k$ unknown affine functions for a fixed $k \geq 1$. This generalizes linear regression and (real) phase retrieval, and is closely rel…
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Covering the Space of Tilts. Application to Affine Invariant Image Comparison Open
We propose a mathematical method to analyze the numerous algorithms performing image matching by affine simulation (IMAS). To become affine invariant they apply a discrete set of affine transforms to the images, prior to the comparison of …
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Point Cloud Registration in Multidirectional Affine Transformation Open
Point clouds scanned by three-dimensional lasers may be multidirectional affine transformed when the specifications for the products, laser scanners, and thermal expansion are incompatible. If a point cloud is out of order in such a case, …
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Networks for Joint Affine and Non-parametric Image Registration Open
We introduce an end-to-end deep-learning framework for 3D medical image registration. In contrast to existing approaches, our framework combines two registration methods: an affine registration and a vector momentum-parameterized stationar…