Nearest Neighbor Value Interpolation
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Nearest Neighbor Value Interpolation
In mathematics applied to computer graphics, nearest neighbor value interpolation is an advanced method of image interpolation. This method fills the empty location with pixel value corresponding to the smallest absolute difference when a set of four known pixels or neighbors has no mode. Proposed by Olivier Rukundo in his PhD dissertation, the preliminary work presented at the fourth International Workshop on Advanced Computational Intelligence, was based only on the pixel value corresponding to the smallest absolute difference to achieve high resolution and visually pleasant image. As of 2025, the nearest neighbor value interpolation work has been widely cited in the scientific community, with over 300 citations in Google Scholar, along over 100 citations in the Web of Science database. The method has been referenced in multiple peer-reviewed journal articles spanning fields such as image processing, signal processing, deep learning and medical imaging. Some notable studies th ...
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Four Known Values
4 (four) is a number, numeral and digit. It is the natural number following 3 and preceding 5. It is a square number, the smallest semiprime and composite number, and is considered unlucky in many East Asian cultures. Evolution of the Hindu-Arabic digit Brahmic numerals represented 1, 2, and 3 with as many lines. 4 was simplified by joining its four lines into a cross that looks like the modern plus sign. The Shunga would add a horizontal line on top of the digit, and the Kshatrapa and Pallava evolved the digit to a point where the speed of writing was a secondary concern. The Arabs' 4 still had the early concept of the cross, but for the sake of efficiency, was made in one stroke by connecting the "western" end to the "northern" end; the "eastern" end was finished off with a curve. The Europeans dropped the finishing curve and gradually made the digit less cursive, ending up with a digit very close to the original Brahmin cross. While the shape of the character for ...
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Deep Learning
Deep learning is a subset of machine learning that focuses on utilizing multilayered neural networks to perform tasks such as classification, regression, and representation learning. The field takes inspiration from biological neuroscience and is centered around stacking artificial neurons into layers and "training" them to process data. The adjective "deep" refers to the use of multiple layers (ranging from three to several hundred or thousands) in the network. Methods used can be either supervised, semi-supervised or unsupervised. Some common deep learning network architectures include fully connected networks, deep belief networks, recurrent neural networks, convolutional neural networks, generative adversarial networks, transformers, and neural radiance fields. These architectures have been applied to fields including computer vision, speech recognition, natural language processing, machine translation, bioinformatics, drug design, medical image analysis, c ...
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Multivariate Interpolation
In numerical analysis, multivariate interpolation or multidimensional interpolation is interpolation on ''multivariate functions'', having more than one variable or defined over a multi-dimensional domain. A common special case is bivariate interpolation or two-dimensional interpolation, based on two variables or two dimensions. When the variates are spatial coordinates, it is also known as spatial interpolation. The function to be interpolated is known at given points (x_i, y_i, z_i, \dots) and the interpolation problem consists of yielding values at arbitrary points (x,y,z,\dots). Multivariate interpolation is particularly important in geostatistics, where it is used to create a digital elevation model from a set of points on the Earth's surface (for example, spot heights in a topographic survey or depths in a hydrographic survey). Regular grid For function values known on a regular grid (having predetermined, not necessarily uniform, spacing), the following methods are ...
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Medical Image Analysis (journal)
''Medical Image Analysis (MedIA)'' is a peer-reviewed academic journal which focuses on medical and biological image analysis. The journal publishes papers which contribute to the basic science of analyzing and processing biomedical images acquired through means such as magnetic resonance imaging, ultrasound, computed tomography, nuclear medicine, x-ray, optical and confocal microscopy, among others. Common topics covered in the journal include feature extraction, image segmentation, image registration, and other image processing methods with applications to diagnosis, prognosis, and computer-assisted interventions. Alongside '' The International Journal of Computer Assisted Radiology and Surgery'', ''Medical Image Analysis'' is an official publication of The Medical Image Computing and Computer Assisted Interventions Society and is published by Elsevier. See also * Medical imaging * Medical image computing Medical image computing (MIC) is an interdisciplinary field at the ...
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IEEE Transactions On Multimedia
''IEEE Transactions on Multimedia'' is a bimonthly peer-reviewed scientific journal covering multimedia technology and applications. It was established in 1999 and is published by the IEEE Computer Society, IEEE Communications Society, IEEE Circuits and Systems Society, and IEEE Signal Processing Society. The editor-in-chief is Chang Wen Chen (State University of New York at Buffalo. According to the ''Journal Citation Reports'', the journal has a 2018 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... of 5.452. References External links * Transactions on Multimedia Computer science journals Engineering journals Bimonthly journals Academic journals established in 1999 English-language journals {{compu-journal-stub ...
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IEEE Transactions On Signal Processing
The ''IEEE Transactions on Signal Processing'' is a biweekly peer-reviewed scientific journal published by the Institute of Electrical and Electronics Engineers covering research on signal processing. It was established in 1953 as the ''IRE Transactions on Audio'', renamed to ''IEEE Transactions on Audio and Electroacoustics'' in 1966 and to ''IEEE Transactions on Acoustics, Speech, and Signal Processing'' in 1974, before obtaining its current name in 1992. The journal is abstracted and indexed in MEDLINE/PubMed and the Science Citation Index Expanded. According to the ''Journal Citation Reports'', the journal has a 2022 impact factor of 5.4. The editor-in-chief is Wing-Kin (Ken) Ma (Chinese University of Hong Kong The Chinese University of Hong Kong (CUHK) is a public university, public research university in Sha Tin, New Territories, Hong Kong. Established in 1963 as a federation of three university college, collegesChung Chi College, New Asia Coll ...). See also *'' IEE ...
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IEEE Transactions On Instrumentation And Measurement
''IEEE Transactions on Instrumentation and Measurement'' is a bimonthly peer-reviewed scientific journal published by the IEEE Instrumentation and Measurement Society. It covers the theory, design and use of electronic instrumentation and measurement techniques. Its editor-in-chief is Ruqiang Yan (Xi'an Jiaotong University). The journal was established in 1963 as the ''IRE Transactions on Instrumentation'' by Institute of Radio Engineers. According to the ''Journal Citation Reports'', the journal has a 2022 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... of 5.6. References External links * Instrumentation and Measurement, IEEE Transactions on English-language journals Academic journals established in 1963 Bimonthly journals Electronics journals {{engi ...
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Medical Imaging
Medical imaging is the technique and process of imaging the interior of a body for clinical analysis and medical intervention, as well as visual representation of the function of some organs or tissues (physiology). Medical imaging seeks to reveal internal structures hidden by the skin and bones, as well as to diagnose and treat disease. Medical imaging also establishes a database of normal anatomy and physiology to make it possible to identify abnormalities. Although imaging of removed organ (anatomy), organs and Tissue (biology), tissues can be performed for medical reasons, such procedures are usually considered part of pathology instead of medical imaging. Measurement and recording techniques that are not primarily designed to produce images, such as electroencephalography (EEG), magnetoencephalography (MEG), electrocardiography (ECG), and others, represent other technologies that produce data susceptible to representation as a parameter graph versus time or maps that contain ...
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Signal Processing
Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing ''signals'', such as audio signal processing, sound, image processing, images, Scalar potential, potential fields, Seismic tomography, seismic signals, Altimeter, altimetry processing, and scientific measurements. Signal processing techniques are used to optimize transmissions, Data storage, digital storage efficiency, correcting distorted signals, improve subjective video quality, and to detect or pinpoint components of interest in a measured signal. History According to Alan V. Oppenheim and Ronald W. Schafer, the principles of signal processing can be found in the classical numerical analysis techniques of the 17th century. They further state that the digital refinement of these techniques can be found in the digital control systems of the 1940s and 1950s. In 1948, Claude Shannon wrote the influential paper "A Mathematical Theory of Communication" which was publis ...
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Interpolation
In the mathematics, mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points. In engineering and science, one often has a number of data points, obtained by sampling (statistics), sampling or experimentation, which represent the values of a function for a limited number of values of the Dependent and independent variables, independent variable. It is often required to interpolate; that is, estimate the value of that function for an intermediate value of the independent variable. A closely related problem is the function approximation, approximation of a complicated function by a simple function. Suppose the formula for some given function is known, but too complicated to evaluate efficiently. A few data points from the original function can be interpolated to produce a simpler function which is still fairly close to the original. The resulting gai ...
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Image Processing
An image or picture is a visual representation. An image can be two-dimensional, such as a drawing, painting, or photograph, or three-dimensional, such as a carving or sculpture. Images may be displayed through other media, including a projection on a surface, activation of electronic signals, or digital displays; they can also be reproduced through mechanical means, such as photography, printmaking, or photocopying. Images can also be animated through digital or physical processes. In the context of signal processing, an image is a distributed amplitude of color(s). In optics, the term ''image'' (or ''optical image'') refers specifically to the reproduction of an object formed by light waves coming from the object. A ''volatile image'' exists or is perceived only for a short period. This may be a reflection of an object by a mirror, a projection of a camera obscura, or a scene displayed on a cathode-ray tube. A ''fixed image'', also called a hard copy, is one that ...
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Peer-reviewed Journal
An academic journal (or scholarly journal or scientific journal) is a periodical publication in which scholarship relating to a particular academic discipline is published. They serve as permanent and transparent forums for the dissemination, scrutiny, and discussion of research. Unlike professional magazines or trade magazines, the articles are mostly written by researchers rather than staff writers employed by the journal. They nearly universally require peer review for research articles or other scrutiny from contemporaries competent and established in their respective fields. Academic journals trace their origins back to the 17th century. , it is estimated that over 28,100 active academic journals are in publication, with scopes ranging from the general sciences, as seen in journals like ''Science'' and ''Nature'', to highly specialized fields. These journals publish a variety of articles including original research, review articles, and perspectives. Content Content us ...
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