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We present a new object representation, called Dense RepPoints, that utilizes a large set of points to describe an object at multiple levels, including both box level and pixel level. Techniques are proposed to efficiently process these…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Ze Yang , Yinghao Xu , Han Xue , Zheng Zhang , Raquel Urtasun , Liwei Wang , Stephen Lin , Han Hu

Methods for generating new distributions from old can be thought of as techniques for simplifying integrals used in reverse. Hence integrating a probability density function (pdf) by parts provides a new way of modifying distributions; the…

Statistics Theory · Mathematics 2019-04-04 Rose Baker

Pseudo-LiDAR point cloud interpolation is a novel and challenging task in the field of autonomous driving, which aims to address the frequency mismatching problem between camera and LiDAR. Previous works represent the 3D spatial motion…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Haojie Liu , Kang Liao , Chunyu Lin , Yao Zhao , Yulan Guo

In this paper a general theory for interpolation methods on a rectangular grid is introduced. By the use of this theory an efficient B-spline based interpolation method for spectral codes is presented. The theory links the order of the…

Computational Physics · Physics 2012-01-20 M. A. T. van Hinsberg , J. H. M. ten Thije Boonkkamp , F. Toschi , H. J. H. Clercx

The ability to generate entangled photon-pairs over a broad wavelength range opens the door to the simultaneous distribution of entanglement to multiple users in a network by using centralized sources and flexible wavelength-division…

Interactive image segmentation is a topic of many studies in image processing. In a conventional approach, a user marks some pixels of the object(s) of interest and background, and an algorithm propagates these labels to the rest of the…

Computer Vision and Pattern Recognition · Computer Science 2019-01-10 Fabricio Aparecido Breve

We propose a method to interpolate Signed Distance Function (SDF) data from a discrete set of samples. Unlike prior work, our approach ensures that the new SDF data values are fully consistent with the input and each other, such that the…

Graphics · Computer Science 2026-05-05 Letao Chen , Sanju Mupparaju , Christopher Batty , Silvia Sellán , Oded Stein

B-splines are widely used in the fields of reverse engineering and computer-aided design, due to their superior properties. Traditional B-spline surface interpolation algorithms usually assume regularity of the data distribution. In this…

Computational Geometry · Computer Science 2021-11-11 Bolun Wang , Xin Jiang , Guanying Huo , Cheng Su , Dongming Yan , Zhiming Zheng

Image interpolation has been used spaciously by customary interpolation techniques. Recently, Kriging technique has been widely implemented in simulation area and geostatistics for prediction. In this article, Kriging technique was used…

Computer Vision and Pattern Recognition · Computer Science 2013-02-07 Firas Ajil Jassim , Fawzi Hasan Altaany

This paper introduces the concept of hyperpolation: a way of generalising from a limited set of data points that is a peer to the more familiar concepts of interpolation and extrapolation. Hyperpolation is the task of estimating the value…

Machine Learning · Computer Science 2024-10-15 Toby Ord

Diffusion models have demonstrated exceptional performances in various fields of generative modeling, but suffer from slow sampling speed due to their iterative nature. While this issue is being addressed in continuous domains, discrete…

Machine Learning · Computer Science 2025-05-12 Satoshi Hayakawa , Yuhta Takida , Masaaki Imaizumi , Hiromi Wakaki , Yuki Mitsufuji

Standard interpolation techniques are implicitly based on the assumption that the signal lies on a homogeneous domain. In this letter, the proposed interpolation method instead exploits prior information about domain inhomogeneity,…

Classical Analysis and ODEs · Mathematics 2017-04-14 Hamid Behjat , Zafer Doğan , Dimitri Van De Ville , Leif Sörnmo

We consider a certain tiling problem of a planar region in which there are no long horizontal or vertical strips consisting of copies of the same tile. Intuitively speaking, we would like to create a dappled pattern with two or more kinds…

Discrete Mathematics · Computer Science 2018-12-18 Shizuo Kaji , Alexandre Derouet-Jourdan , Hiroyuki Ochiai

We study the configurations of pixels that occur when two digitized straight lines meet each other.

Graphics · Computer Science 2008-02-03 Donald E. Knuth

Stable Diffusion (SD) has evolved DDPM (Denoising Diffusion Probabilistic Model) based image generation significantly by denoising in latent space instead of feature space. This popularized DDPM-based image generation as the cost and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Md Abu Obaida Zishan , Jannatun Noor , Annajiat Alim Rasel

We present a protocol for performing state merging when multiple parties share a single copy of a mixed state, and analyze the entanglement cost in terms of min- and max-entropies. Our protocol allows for interpolation between corner points…

Quantum Physics · Physics 2012-07-06 Nicolas Dutil , Patrick Hayden

It can be shown that Stable Diffusion has a permutation-invariance property with respect to the rows of Contrastive Language-Image Pretraining (CLIP) embedding matrices. This inspired the novel observation that these embeddings can…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Nicholas Karris , Luke Durell , Javier Flores , Tegan Emerson

We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the minimization problem is smooth and strongly convex, our…

Optimization and Control · Mathematics 2023-09-21 Kiran Rokade , Rachel Kalpana Kalaimani

Diffusion Probabilistic Methods are employed for state-of-the-art image generation. In this work, we present a method for extending such models for performing image segmentation. The method learns end-to-end, without relying on a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-08 Tomer Amit , Tal Shaharbany , Eliya Nachmani , Lior Wolf

Sampling from multimodal distributions is a challenging task in scientific computing. When a distribution has an exact symmetry between the modes, direct jumps among them can accelerate the samplings significantly. However, the…

Numerical Analysis · Mathematics 2024-01-05 Lexing Ying