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We show that the driving force behind the regularizing effect of Laplacian smoothing on surface elements is the popular mean ratio quality measure. We use these insights to provide natural generalizations to polygons and polyhedra. The…

Optimization and Control · Mathematics 2014-06-18 Dimitris Vartziotis , Benjamin Himpel

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

Optimization and Control · Mathematics 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

Prompt tuning and adapter tuning have shown great potential in transferring pre-trained vision-language models (VLMs) to various downstream tasks. In this work, we design a new type of tuning method, termed as regularized mask tuning, which…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Kecheng Zheng , Wei Wu , Ruili Feng , Kai Zhu , Jiawei Liu , Deli Zhao , Zheng-Jun Zha , Wei Chen , Yujun Shen

We propose a new method with $\mathcal{L}_2$ distance that maps one $N$-dimensional distribution to another, taking into account available information about correspondences. We solve the high-dimensional problem in 1D space using an…

Computer Vision and Pattern Recognition · Computer Science 2021-02-19 Hana Alghamdi , Rozenn Dahyot

We propose LaplacianFusion, a novel approach that reconstructs detailed and controllable 3D clothed-human body shapes from an input depth or 3D point cloud sequence. The key idea of our approach is to use Laplacian coordinates, well-known…

Graphics · Computer Science 2023-03-01 Hyomin Kim , Hyeonseo Nam , Jungeon Kim , Jaesik Park , Seungyong Lee

Aspl{\"u}nd's metric, which is useful for pattern matching, consists in a double-sided probing, i.e. the over-graph and the sub-graph of a function are probed jointly. It has previously been defined for grey-scale images using the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-24 Guillaume Noyel , Michel Jourlin

The advent of transformation optics has lead to the initiation of designing devices and applications associated to electromagnetic wave propagation in anisotropic media. Here, a method is suggested using a coordinate transformation with…

Optics · Physics 2020-11-13 H. H. Sidhwa

When approximating elliptic problems by using specialized approximation techniques, we obtain large structured matrices whose analysis provides information on the stability of the method. Here we provide spectral and norm estimates for…

Numerical Analysis · Mathematics 2023-03-23 Armando Coco , Sven-Erik Ekström , Giovanni Russo , Stefano Serra-Capizzano , Santina Chiara Stissi

We consider the problem of non-rigid shape matching using the functional map framework. Specifically, we analyze a commonly used approach for regularizing functional maps, which consists in penalizing the failure of the unknown map to…

Graphics · Computer Science 2020-10-01 Jing Ren , Mikhail Panine , Peter Wonka , Maks Ovsjanikov

Vision Transformer (ViT) models have demonstrated a breakthrough in a wide range of computer vision tasks. However, compared to the Convolutional Neural Network (CNN) models, it has been observed that the ViT models struggle to capture…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Reza Azad , Amirhossein Kazerouni , Babak Azad , Ehsan Khodapanah Aghdam , Yury Velichko , Ulas Bagci , Dorit Merhof

Multidimensional projections (MP) are among the most essential approaches in the visual analysis of multidimensional data. It transforms multidimensional data into two-dimensional representations that may be shown as scatter plots while…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Maniru Ibrahim , Thales Vieira

We present a novel probabilistic approach for generating multi-fidelity data while accounting for errors inherent in both low- and high-fidelity data. In this approach a graph Laplacian constructed from the low-fidelity data is used to…

Machine Learning · Computer Science 2025-12-01 Orazio Pinti , Jeremy M. Budd , Franca Hoffmann , Assad A. Oberai

Conceptual studies and numerical simulations are performed for imaging devices that transform a near-field pattern into magnified far-zone images and are based on high-order spatial transformation in cylindrical domains. A lens translating…

Optics · Physics 2009-11-13 Alexander V. Kildishev , Vladimir M. Shalaev

In this paper we investigate measures over bounded lattices, extending and giving a unifying treatment to previous works. In particular, we prove that the measures of an arbitrary bounded lattice can be represented as measures over a…

Commutative Algebra · Mathematics 2021-09-20 C. Massri , F. Holik

An extended version of the R-matrix methodology is presented for calculation of radiative parameters for improved plasma opacities. Contrast and comparisons with existing methods primarily relying on the Distorted Wave (DW) approximation…

Solar and Stellar Astrophysics · Physics 2023-08-30 A. K. Pradhan , S. N. Nahar , W. Eissner

Detecting transparent objects in natural scenes is challenging due to the low contrast in texture, brightness and colors. Recent deep-learning-based works reveal that it is effective to leverage boundaries for transparent object detection…

Computer Vision and Pattern Recognition · Computer Science 2021-10-20 Yang Cao , Zhengqiang Zhang , Enze Xie , Qibin Hou , Kai Zhao , Xiangui Luo , Jian Tuo

A general framework based on Gaussian models and a MAP-EM algorithm is introduced in this paper for solving matrix/table completion problems. The numerical experiments with the standard and challenging movie ratings data show that the…

Machine Learning · Computer Science 2010-10-21 Flavien Léger , Guoshen Yu , Guillermo Sapiro

We compare alternative computing strategies for solving the constrained lasso problem. As its name suggests, the constrained lasso extends the widely-used lasso to handle linear constraints, which allow the user to incorporate prior…

Machine Learning · Statistics 2016-11-08 Brian R. Gaines , Hua Zhou

Template matching is one of the simplest methods used for eyes and mouth detection. However, it can be modified and extended to become a powerful tool. Since the patch itself plays a significant role in optimizing detection performance, a…

Computer Vision and Pattern Recognition · Computer Science 2010-07-13 Lim Huey Charn , Liyana Nuraini Rasid , Shahrel A. Suandi

A new type of cloak is discussed: one that gives all cloaked objects the appearance of a flat conducting sheet. It has the advantage that none of the parameters of the cloak is singular and can in fact be made isotropic. It makes broadband…

Optics · Physics 2009-11-13 Jensen Li , J. B. Pendry
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