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We give an algorithm to morph planar graph drawings that achieves small grid size at the expense of allowing a constant number of bends on each edge. The input is an $n$-vertex planar graph and two planar straight-line drawings of the graph…

Computational Geometry · Computer Science 2024-09-09 Therese Biedl , Anna Lubiw , Jack Spalding-Jamieson

We initiate a systematic study of tolerant testers of image properties or, equivalently, algorithms that approximate the distance from a given image to the desired property (that is, the smallest fraction of pixels that need to change in…

Data Structures and Algorithms · Computer Science 2016-08-16 Piotr Berman , Meiram Murzabulatov , Sofya Raskhodnikova

Sparse representation of astronomical images is discussed. It is shown that a significant gain in sparsity is achieved when particular mixed dictionaries are used for approximating these types of images with greedy selection strategies.…

Mathematical Physics · Physics 2015-06-11 Laura Rebollo-Neira , James Bowley

We present a new method to transform the spectral pixel information of a micrograph into an affine geometric description, which allows us to analyze the morphology of granular materials. We use spectral and pulse-coupled neural network…

Computer Vision and Pattern Recognition · Computer Science 2015-06-25 B. R. Schlei , L. Prasad , A. N. Skourikhine

In a non supervised Bayesian estimation approach for inverse problems in imaging systems, one tries to estimate jointly the unknown image pixels $f$ and the hyperparameters $\theta$ given the observed data $g$ and a model $M$ linking these…

Mathematical Physics · Physics 2009-04-28 Ali Mohammad-Djafari

Estimating the 6D pose of objects using only RGB images remains challenging because of problems such as occlusion and symmetries. It is also difficult to construct 3D models with precise texture without expert knowledge or specialized…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Kiru Park , Timothy Patten , Markus Vincze

Image vectorization is a process to convert a raster image into a scalable vector graphic format. Objective is to effectively remove the pixelization effect while representing boundaries of image by scaleable parameterized curves. We…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Ho Law , Sung Ha Kang

Image resampling is a necessary component of any operation that changes the size of an image or its geometry. Methods tuned for natural image upsampling (roughly speaking, image enlargement) are analyzed and developed with a focus on their…

Graphics · Computer Science 2015-03-20 Chantal Racette

Recovering the missing regions of an image is a task that is called image inpainting. Depending on the shape of missing areas, different methods are presented in the literature. One of the challenges of this problem is extracting features…

Computer Vision and Pattern Recognition · Computer Science 2020-01-13 Ghazale Ghorbanzade , Zahra Nabizadeh , Nader Karimi , Shadrokh Samavi

This paper is concerned with the inverse problem of reconstructing small and local perturbations of a planar surface using the field interaction between a known plasmonic particle and the planar surface. The aim is to perform a…

Analysis of PDEs · Mathematics 2018-11-21 Habib Ammari , Doo Sung Choi , Sanghyeon Yu

Several important classes of images such as text, barcode and pattern images have the property that pixels can only take a distinct subset of values. This knowledge can benefit the restoration of such images, but it has not been widely…

Computer Vision and Pattern Recognition · Computer Science 2015-08-21 Xing Mei , Honggang Qi , Bao-Gang Hu , Siwei Lyu

Face parsing infers a pixel-wise label to each facial component, which has drawn much attention recently. Previous methods have shown their success in face parsing, which however overlook the correlation among facial components. As a matter…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Gusi Te , Wei Hu , Yinglu Liu , Hailin Shi , Tao Mei

Normal multi-scale transform [4] is a nonlinear multi-scale transform for representing geometric objects that has been recently investigated [1, 7, 10]. The restrictive role of the exact order of polynomial reproduction $P_e$ of the…

Numerical Analysis · Mathematics 2013-11-19 Stanislav Harizanov

We develop an approximation theory in Hilbert spaces that generalizes the classical theory of approximation by entire functions of exponential type. The results advance harmonic analysis on manifolds and graphs, thus facilitating data…

Functional Analysis · Mathematics 2014-03-07 Isaac Z. Pesenson , Meyer Z. Pesenson

Our goal is to provide a novel method of representing 2D shapes, where each shape will be assigned a unique fingerprint - a computable approximation to a conformal map of the given shape to a canonical shape in 2D or 3D space (see page 22…

Differential Geometry · Mathematics 2022-09-23 Sa'ar Hersonsky

We exploit a key result from visual psychophysics---that individuals perceive shape qualitatively---to develop the use of a geometrical/topological "invariant'' (the Morse--Smale complex) relating image structure with surface structure.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Benjamin S. Kunsberg , Steven W. Zucker

Graphs are a useful abstraction of image content. Not only can graphs represent details about individual objects in a scene but they can capture the interactions between pairs of objects. We present a method for training a convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Alejandro Newell , Jia Deng

Learning image transformations is essential to the idea of mental simulation as a method of cognitive inference. We take a connectionist modeling approach, using planar neural networks to learn fundamental imagery transformations, like…

Machine Learning · Computer Science 2020-08-11 Joel Michelson , Joshua H. Palmer , Aneesha Dasari , Maithilee Kunda

Generative image models can produce convincingly real images, with plausible shapes, textures, layouts and lighting. However, one domain in which they perform notably poorly is in the synthesis of transparent objects, which exhibit…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Yue Yin , Enze Tao , Dylan Campbell

We present a simple yet effective method to infer detailed full human body shape from only a single photograph. Our model can infer full-body shape including face, hair, and clothing including wrinkles at interactive frame-rates. Results…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Thiemo Alldieck , Gerard Pons-Moll , Christian Theobalt , Marcus Magnor