Effects of Improved-Floor Function on the Accuracy of Bilinear Interpolation Algorithm [PDF]
In this study, the standard IEEE 754–2008 and modulo-based floor functions for rounding non-integers have been presented. Their effects on the accuracy of the bilinear interpolation algorithm have been demonstrated. The improved-floor uses the modulo operator in an effort to make each non-integer addend an integer when the remainder between the ...
Olivier Rukundo
semanticscholar +7 more sources
Interpolation with bilinear differential forms [PDF]
We present a recursive algorithm for modeling with bilinear differential forms. We discuss applications of this algorithm for interpolation with symmetric bivariate polynominals, and for computing storage functions for autonomous systems.
Ishan Pendharkar+2 more
openalex +3 more sources
Implementing bilinear interpolation with quantum images [PDF]
Abstract A bilinear interpolation technique is proposed for flexible representations of quantum images (FRQIs). In this process, several quantum modules were developed, including assignment, increment, and quarter modules, for use in an interpolation circuit. The network structure of these circuits, capable of both up-sampling and down-sampling FRQIs,
Fei Yan+3 more
openaire +3 more sources
Bilinear complexity of algebras and the Chudnovsky–Chudnovsky interpolation method [PDF]
We give new improvements to the Chudnovsky-Chudnovsky method that provides upper bounds on the bilinear complexity of multiplication in extensions of finite fields through interpolation on algebraic curves. Our approach features three independent key ingredients: (1) We allow asymmetry in the interpolation procedure. This allows to prove, via the usual
Hugues Randriambololona
+6 more sources
Structure-preserving interpolation of bilinear control systems [PDF]
AbstractIn this paper, we extendthe structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specifically, we give explicit construction formulae for the model reduction bases to satisfy different types of interpolation conditions. First, we establish the analysis for
Steffen W. R. Werner+3 more
openaire +6 more sources
On interpolation of weakly compact bilinear operators
AbstractWe study the interpolation properties of weakly compact bilinear operators by the real method and also by the complex method. We also study the factorization property of weakly compact bilinear operators through reflexive Banach spaces.
Cobos Díaz, Fernando+2 more
openaire +3 more sources
Above-Threshold Queries of Environmental Conditions Based on Bilinear Interpolation in Wireless Sensor Networks. [PDF]
Wireless sensor networks can be regarded as sensor database systems, which permit users to query sensor data of interest. Among various spatial database queries, we focus the area-wise aggregate queries in the region where the sensor values are above a ...
Liu Y, Huangfu W, Zhang H, Long K.
europepmc +2 more sources
Low-Cost Implementation of Bilinear and Bicubic Image Interpolation for Real-Time Image Super-Resolution [PDF]
Super-resolution imaging (S.R.) is a series of techniques that enhance the resolution of an imaging system, especially in surveillance cameras where simplicity and low cost are of great importance. S.R. image reconstruction can be viewed as a three-stage
Donya Khaledyan+5 more
openalex +3 more sources
Dilated Convolution with Learnable Spacings: beyond bilinear interpolation [PDF]
Dilated Convolution with Learnable Spacings (DCLS) is a recently proposed variation of the dilated convolution in which the spacings between the non-zero elements in the kernel, or equivalently their positions, are learnable. Non-integer positions are handled via interpolation. Thanks to this trick, positions have well-defined gradients.
Khalfaoui-Hassani, Ismail+2 more
openaire +4 more sources
On interpolation of bilinear operators
AbstractIn this paper we study interpolation of bilinear operators between products of Banach spaces generated by abstract methods of interpolation in the sense of Aronszajn and Gagliardo. A variant of bilinear interpolation theorem is proved for bilinear operators from corresponding weighted c0 spaces into Banach spaces of non-trivial the periodic ...
Mieczysław Mastyło
openalex +3 more sources