Results 1 to 10 of about 84,321 (306)

Quadratic Interpolation and Linear Lifting Design

open access: goldEURASIP Journal on Image and Video Processing, 2007
A quadratic image interpolation method is stated. The formulation is connected to the optimization of lifting steps. This relation triggers the exploration of several interpolation possibilities within the same context, which uses the theory of convex ...
Solé Joel, Salembier Philippe
doaj   +4 more sources

Linear Interpolation Revitalized [PDF]

open access: greenIEEE Transactions on Image Processing, 2004
We present a simple, original method to improve piecewise-linear interpolation with uniform knots: we shift the sampling knots by a fixed amount, while enforcing the interpolation property. We determine the theoretical optimal shift that maximizes the quality of our shifted linear interpolation.
Thierry Blu   +2 more
openalex   +5 more sources

Linear/linear rational spline interpolation

open access: yesMathematical Modelling and Analysis, 2010
For a strictly monotone function y on [a, b] we describe the construction of an interpolating linear/linear rational spline S of smoothness class C 1. We show that for the linear/linear rational splines we obtain ¦S(xi ) − y(xi )¦8 = O(h 4) on uniform ...
Erge Ideon, Peeter Oja
doaj   +5 more sources

Interp-SUM: Unsupervised Video Summarization with Piecewise Linear Interpolation [PDF]

open access: yesSensors, 2021
This paper addresses the problem of unsupervised video summarization. Video summarization helps people browse large-scale videos easily with a summary from the selected frames of the video.
Ui-Nyoung Yoon   +2 more
doaj   +2 more sources

Linear Methods for Image Interpolation [PDF]

open access: yesImage Processing On Line, 2011
We discuss linear methods for interpolation, including nearest neighbor, bilinear, bicubic, splines, and sinc interpolation. We focus on separable interpolation, so most of what is said applies to one-dimensional interpolation as well as N-dimensional ...
Pascal Getreuer
doaj   +3 more sources

Non-linear Approximation and Interpolation Spaces

open access: bronzeJournal of Approximation Theory, 2001
AbstractWe study n-term wavelet-type approximations in Besov and Triebel–Lizorkin spaces. In particular, we characterize spaces of functions which have prescribed degree of n-term approximation in terms of interpolation spaces. These results are applied to identify interpolation spaces between Triebel–Lizorkin and Besov spaces.
George Kyriazis
openalex   +4 more sources

Quadratic/linear rational spline interpolation

open access: yesMathematical Modelling and Analysis, 2013
We describe the construction of an interpolating quadratic/linear rational spline S of smoothness class C 2 for a strictly convex (or strictly concave) function y on [a, b].
Erge Ideon, Peeter Oja
doaj   +5 more sources

Craig Interpolation for Linear Temporal Languages [PDF]

open access: green, 2009
We study Craig interpolation for fragments and extensions of propositional linear temporal logic (PLTL). We consider various fragments of PLTLobtained by restricting the set of temporal connectives and, for each of these fragments, we identify its smallest extension that has Craig interpolation.
Amélie Gheerbrant, Balder ten Cate
openalex   +4 more sources

Remarks on interpolation in certain linear spaces (IV)

open access: hybridJournal of Numerical Analysis and Approximation Theory, 2007
In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
doaj   +5 more sources

Fast Linear Interpolation [PDF]

open access: yesACM Journal on Emerging Technologies in Computing Systems, 2021
We present fast implementations of linear interpolation operators for piecewise linear functions and multi-dimensional look-up tables. These operators are common for efficient transformations in image processing and are the core operations needed for lattice models like deep lattice networks, a popular machine learning function class for interpretable,
Kevin Robert Canini   +3 more
openaire   +2 more sources

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