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Shape is an important physical property of natural and manmade 3D objects that characterizes their external appearances. Understanding differences between shapes and modeling the variability within and across shape classes, hereinafter…

Graphics · Computer Science 2018-12-27 Hamid Laga

The basic problem of shape complementarity analysis appears fundamental to applications as diverse as mechanical design, assembly automation, robot motion planning, micro- and nano-fabrication, protein-ligand binding, and rational drug…

Computational Geometry · Computer Science 2017-12-05 Morad Behandish , Horea T. Ilies

We cast shape matching as metric learning with convolutional networks. We break the end-to-end process of image representation into two parts. Firstly, well established efficient methods are chosen to turn the images into edge maps.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Filip Radenović , Giorgos Tolias , Ondřej Chum

The use of Laplacian eigenfunctions is ubiquitous in a wide range of computer graphics and geometry processing applications. In particular, Laplacian eigenbases allow generalizing the classical Fourier analysis to manifolds. A key drawback…

Graphics · Computer Science 2017-11-03 Simone Melzi , Emanuele Rodolà , Umberto Castellani , Michael M. Bronstein

A novel 3D shape classification scheme, based on collaborative representation learning, is investigated in this work. A data-driven feature-extraction procedure, taking the form of a simple projection operator, is in the core of our…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 F. Fotopoulou , S. Oikonomou , A. Papathanasiou , G. Economou , S. Fotopoulos

Intrinsic isometric shape matching has become the standard approach for pose invariant correspondence estimation among deformable shapes. Most existing approaches assume global consistency, i.e., the metric structure of the whole manifold…

Computer Vision and Pattern Recognition · Computer Science 2014-01-14 Alan Brunton , Michael Wand , Stefanie Wuhrer , Hans-Peter Seidel , Tino Weinkauf

Deep representation learning has become one of the most widely adopted approaches for visual search, recommendation, and identification. Retrieval of such representations from a large database is however computationally challenging.…

Machine Learning · Computer Science 2020-04-14 Biswajit Paria , Chih-Kuan Yeh , Ian E. H. Yen , Ning Xu , Pradeep Ravikumar , Barnabás Póczos

Large language models (LLMs) form implicit beliefs (posteriors over latent variables) from prompts, but we lack a mechanistic account of how these beliefs are encoded in representation space, how they update with new evidence, and how…

Sparse approximations using highly over-complete dictionaries is a state-of-the-art tool for many imaging applications including denoising, super-resolution, compressive sensing, light-field analysis, and object recognition. Unfortunately,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-03 Ali Ayremlou , Thomas Goldstein , Ashok Veeraraghavan , Richard Baraniuk

We introduce a latent 3D representation that models 3D surfaces as probability density functions in 3D, i.e., p(x,y,z), with flow-matching. Our representation is specifically designed for consumption by machine learning models, offering…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Jen-Hao Rick Chang , Yuyang Wang , Miguel Angel Bautista Martin , Jiatao Gu , Xiaoming Zhao , Josh Susskind , Oncel Tuzel

In this paper, we present a decision level fused local Morphological Pattern Spectrum(PS) and Local Binary Pattern (LBP) approach for an efficient shape representation and classification. This method makes use of Earth Movers Distance(EMD)…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 B. H. Shekar , Bharathi Pilar

In this paper, we consider the challenge of face morphing attacks, which substantially undermine the integrity of face recognition systems such as those adopted for use in border protection agencies. Morph detection can be formulated as…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Poorya Aghdaie , Baaria Chaudhary , Sobhan Soleymani , Jeremy Dawson , Nasser M. Nasrabadi

The rapid growth of image data has led to the development of advanced image processing and computer vision techniques, which are crucial in various applications such as image classification, image segmentation, and pattern recognition.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-29 Zeinab Sedaghatjoo , Hossein Hosseinzadeh , Bahram Sadeghi Bigham

We propose a novel method to reconstruct the 3D shapes of transparent objects using hand-held captured images under natural light conditions. It combines the advantage of explicit mesh and multi-layer perceptron (MLP) network, a hybrid…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Jiamin Xu , Zihan Zhu , Hujun Bao , Weiwei Xu

Shapes do not define a linear space. This paper explores the linear structure of deformations as a representation of shapes. This transforms shape optimization to a variant of optimal control. The numerical challenges of this point of view…

Optimization and Control · Mathematics 2022-03-15 Stephan Schmidt , Volker H. Schulz

We present a progressive image decomposition method based on a novel non-linear filter named Sub-window Variance filter. Our method is specifically designed for image detail enhancement purpose; this application requires extraction of image…

Computer Vision and Pattern Recognition · Computer Science 2021-07-23 Kin-Ming Wong

We present a novel method for computing correspondences across 3D shapes using unsupervised learning. Our method computes a non-linear transformation of given descriptor functions, while optimizing for global structural properties of the…

Graphics · Computer Science 2019-08-23 Jean-Michel Roufosse , Abhishek Sharma , Maks Ovsjanikov

We propose a non-intrusive method to build surrogate models that approximate the solution of parameterized partial differential equations (PDEs), capable of taking into account the dependence of the solution on the shape of the…

Numerical Analysis · Mathematics 2024-09-20 Linying Zhang , Stefano Pagani , Jun Zhang , Francesco Regazzoni

The Easy Path Wavelet Transform is an adaptive transform for bivariate functions (in particular natural images) which has been proposed in [1]. It provides a sparse representation by finding a path in the domain of the function leveraging…

Information Theory · Computer Science 2017-02-16 Renato Budinich

Neural fields are receiving increased attention as a geometric representation due to their ability to compactly store detailed and smooth shapes and easily undergo topological changes. Compared to classic geometry representations, however,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Arturs Berzins , Moritz Ibing , Leif Kobbelt