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In this paper, we present an interpolation framework for structure-preserving model order reduction of parametric bilinear dynamical systems. We introduce a general setting, covering a broad variety of different structures for parametric…

Numerical Analysis · Mathematics 2021-07-13 Peter Benner , Serkan Gugercin , Steffen W. R. Werner

In recent years, tremendous efforts have been made on document image rectification, but existing advanced algorithms are limited to processing restricted document images, i.e., the input images must incorporate a complete document. Once the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Hao Feng , Shaokai Liu , Jiajun Deng , Wengang Zhou , Houqiang Li

A novel algorithm is proposed for segmenting an image into multiple levels using its mean and variance. Starting from the extreme pixel values at both ends of the histogram plot, the algorithm is applied recursively on sub-ranges computed…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Siddharth Arora , Jayadev Acharya , Amit Verma , Prasanta K. Panigrahi

In this paper the use of nonlinear cross-diffu\-sion systems to model image restoration is investigated, theoretically and numerically. In the first case, well-posedness, scale-space properties and long time behaviour are analyzed. From a…

Analysis of PDEs · Mathematics 2017-02-21 A. Araújo , S. Barbeiro , E. Cuesta , A. Durán

Image Processing, Optimization and Prediction of an Image play a key role in Computer Science. Image processing provides a way to analyze and identify an image .Many areas like medical image processing, Satellite images, natural images and…

Computer Vision and Pattern Recognition · Computer Science 2013-05-14 Shweta Jain , Urmila Shrawankar

We consider the decomposition of bounded linear operators on Hilbert spaces in terms of functions forming frames. Similar to the singular-value decomposition, the resulting frame decompositions encode information on the structure and…

Numerical Analysis · Mathematics 2021-05-26 Simon Hubmer , Ronny Ramlau

We present VIINTER, a method for view interpolation by interpolating the implicit neural representation (INR) of the captured images. We leverage the learned code vector associated with each image and interpolate between these codes to…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Brandon Yushan Feng , Susmija Jabbireddy , Amitabh Varshney

We seek to give users precise control over diffusion-based image generation by modeling complex scenes as sequences of layers, which define the desired spatial arrangement and visual attributes of objects in the scene. Collage Diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Vishnu Sarukkai , Linden Li , Arden Ma , Christopher Ré , Kayvon Fatahalian

Magnetic resonance (MR) imaging is commonly used in the clinical setting to non-invasively monitor the body. There exists a large variability in MR imaging due to differences in scanner hardware, software, and protocol design. Ideally, a…

Image and Video Processing · Electrical Eng. & Systems 2024-09-02 Savannah P. Hays , Samuel W. Remedios , Lianrui Zuo , Ellen M. Mowry , Scott D. Newsome , Peter A. Calabresi , Aaron Carass , Blake E. Dewey , Jerry L. Prince

We propose Framer for interactive frame interpolation, which targets producing smoothly transitioning frames between two images as per user creativity. Concretely, besides taking the start and end frames as inputs, our approach supports…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Wen Wang , Qiuyu Wang , Kecheng Zheng , Hao Ouyang , Zhekai Chen , Biao Gong , Hao Chen , Yujun Shen , Chunhua Shen

Image superresolution methods process an input image sequence of a scene to obtain a still image with increased resolution. Classical approaches to this problem involve complex iterative minimization procedures, typically with high…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Carlos Miravet , Francisco B. Rodriguez

It is generally believed that the resolution in digital holography is limited by the size of the captured holographic record. Here, we present a method to circumvent this limit by self-extrapolating experimental holograms beyond the area…

Optics · Physics 2017-01-24 Tatiana Latychevskaia , Hans-Werner Fink

Real-world data processing problems often involve various image modalities associated with a certain scene, including RGB images, infrared images or multi-spectral images. The fact that different image modalities often share certain…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Pingfan Song , Xin Deng , João F. C. Mota , Nikos Deligiannis , Pier Luigi Dragotti , Miguel R. D. Rodrigues

Current image-to-image translations do not control the output domain beyond the classes used during training, nor do they interpolate between different domains well, leading to implausible results. This limitation largely arises because…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Kunhee Kim , Sanghun Park , Eunyeong Jeon , Taehun Kim , Daijin Kim

The vector transform operators are investigated; these operators are used at the solution of boundary value problems in piecewise homogeneous spherically symmetric areas. In particular, examples of transformation operators for vector…

Analysis of PDEs · Mathematics 2018-05-16 Oleg Yaremko , Lidia Simutina

Guided upsampling is an effective approach for accelerating high-resolution image processing. In this paper, we propose a simple yet effective guided upsampling method. Each pixel in the high-resolution image is represented as a linear…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Shuangbing Song , Fan Zhong , Tianju Wang , Xueying Qin , Changhe Tu

Conventional sampling and interpolation commonly rely on discrete measurements. In this paper, we develop a theoretical framework for extrapolation of signals in higher dimensions from knowledge of the continuous waveform on bounded…

Signal Processing · Electrical Eng. & Systems 2020-08-04 Cornelius Frankenbach , Pablo Martínez-Nuevo , Martin Møller , Walter Kellermann

Image harmonization is an important step in photo editing to achieve visual consistency in composite images by adjusting the appearances of foreground to make it compatible with background. Previous approaches to harmonize composites are…

Computer Vision and Pattern Recognition · Computer Science 2020-06-02 Konstantin Sofiiuk , Polina Popenova , Anton Konushin

This paper concerns with nonuniform sampling and interpolation methods combined with variational models for the solution of a generalized image inpainting problem and the restoration of digital signals. In particular, we discuss the problem…

Numerical Analysis · Mathematics 2007-05-23 Massimo Fornasier

This review presents various image segmentation methods using complex networks. Image segmentation is one of the important steps in image analysis as it helps analyze and understand complex images. At first, it has been tried to classify…

Computer Vision and Pattern Recognition · Computer Science 2024-01-08 Amin Rezaei , Fatemeh Asadi