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In this paper we present an efficient algorithm for bivariate interpolation, which is based on the use of the partition of unity method for constructing a global interpolant. It is obtained by combining local radial basis function…

Numerical Analysis · Mathematics 2014-08-04 Roberto Cavoretto

Differentiable image sampling in the form of backward warping has seen broad adoption in tasks like depth estimation and optical flow prediction. In contrast, how to perform forward warping has seen less attention, partly due to additional…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Simon Niklaus , Feng Liu

Several leading methods on public benchmarks for depth-from-stereo rely on memory-demanding 4D cost volumes and computationally intensive 3D convolutions for feature matching. We suggest a new way to process the 4D cost volume where we…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 Oh-Hun Kwon , Eduard Zell

High resolution depth-maps, obtained by upsampling sparse range data from a 3D-LIDAR, find applications in many fields ranging from sensory perception to semantic segmentation and object detection. Upsampling is often based on combining…

Computer Vision and Pattern Recognition · Computer Science 2016-06-20 C. Premebida , L. Garrote , A. Asvadi , A. Pedro Ribeiro , U. Nunes

We present a method for extracting depth information from a rectified image pair. We train a convolutional neural network to predict how well two image patches match and use it to compute the stereo matching cost. The cost is refined by…

Computer Vision and Pattern Recognition · Computer Science 2015-10-21 Jure Žbontar , Yann LeCun

Compression-based similarity measures are effectively employed in applications on diverse data types with a basically parameter-free approach. Nevertheless, there are problems in applying these techniques to medium-to-large datasets which…

Machine Learning · Statistics 2012-10-03 Daniele Cerra , Mihai Datcu

We introduce and discuss shape-based models for finding the best interpolation data in the compression of images with noise. The aim is to reconstruct missing regions by means of minimizing a data fitting term in the $L^2$-norm between the…

Numerical Analysis · Mathematics 2022-02-23 Zakaria Belhachmi , Thomas Jacumin

Image super-resolution remains an important research topic to overcome the limitations of physical acquisition systems, and to support the development of high resolution displays. Previous example-based super-resolution approaches mainly…

Computer Vision and Pattern Recognition · Computer Science 2015-03-11 Chinh Dang , Hayder Radha

Image hallucination and super-resolution have been studied for decades, and many approaches have been proposed to upsample low-resolution images using information from the images themselves, multiple example images, or large image…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Chieh-Chi Kao , Yuxiang Wang , Jonathan Waltman , Pradeep Sen

In this paper, we present a novel upsampling framework to enhance the spatial resolution of the depth image. In our framework, the upscaling of a low-resolution depth image is guided by a corresponding intensity images, we formulate it as a…

Computer Vision and Pattern Recognition · Computer Science 2018-11-13 Hang Yang , Zhongbo Zhang

Mutual calibration between color and depth cameras is a challenging topic in multi-modal data registration. In this paper, we are confronted with a "Bimodal Stereo" problem, which aims to solve camera pose from a pair of an uncalibrated…

Computer Vision and Pattern Recognition · Computer Science 2019-05-17 Chi Zhang , Yuehu Liu , Ying Wu , Qilin Zhang , Le Wang

Considering a 2D matrix of positive and negative numbers, how might one draw a rectangle within it whose contents sum higher than all other rectangles'? This fundamental problem, commonly known the maximum rectangle problem or subwindow…

Data Structures and Algorithms · Computer Science 2023-04-11 Max Reuter , Gheorghe-Teodor Bercea , Liana Fong

We consider a shape optimization based method for finding the best interpolation data in the compression of images with noise. The aim is to reconstruct missing regions by means of minimizing a data fitting term in an $L^p$-norm between…

Analysis of PDEs · Mathematics 2024-10-11 Zakaria Belhachmi , Thomas Jacumin

This paper reports a CPU-level real-time stereo matching method for surgical images (10 Hz on 640 * 480 image with a single core of i5-9400). The proposed method is built on the fast ''dense inverse searching'' algorithm, which estimates…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Jingwei Song , Qiuchen Zhu , Jianyu Lin , Maani Ghaffari

Depth completion starts from a sparse set of known depth values and estimates the unknown depths for the remaining image pixels. Most methods model this as depth interpolation and erroneously interpolate depth pixels into the empty space…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Saif Imran , Xiaoming Liu , Daniel Morris

Superpixel segmentation aims at dividing the input image into some representative regions containing pixels with similar and consistent intrinsic properties, without any prior knowledge about the shape and size of each superpixel. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-12-14 Hua Li , Yuheng Jia , Runmin Cong , Wenhui Wu , Sam Kwong , Chuanbo Chen

This paper presents a novel set-based computing method, called interval superposition arithmetic, for enclosing the image set of multivariate factorable functions on a given domain. In order to construct such enclosures, the proposed…

Numerical Analysis · Mathematics 2018-02-14 Yanlin Zha , Mario E. Villanueva , Boris Houska

Multi-frame depth estimation improves over single-frame approaches by also leveraging geometric relationships between images via feature matching, in addition to learning appearance-based features. In this paper we revisit feature matching…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Vitor Guizilini , Rares Ambrus , Dian Chen , Sergey Zakharov , Adrien Gaidon

The scarcity of pixel-level annotation is a prevalent problem in medical image segmentation tasks. In this paper, we introduce a novel regularization strategy involving interpolation-based mixing for semi-supervised medical image…

Image and Video Processing · Electrical Eng. & Systems 2022-02-04 Hritam Basak , Rajarshi Bhattacharya , Rukhshanda Hussain , Agniv Chatterjee

In this paper we present a locally and dimension-adaptive sparse grid method for interpolation and integration of high-dimensional functions with discontinuities. The proposed algorithm combines the strengths of the generalised sparse grid…

Numerical Analysis · Mathematics 2011-10-04 John D. Jakeman , Stephen G. Roberts