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Intensity-curvature functional based digital high pass filter of the bivariate cubic B-spline model polynomial function

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Visual Computing for Industry,Biomedicine,and Art 2019年第1期2卷 75-92页

作者： Carlo Ciulla grace agyapong Faculty of Information Systems VisualizationMultimediaand AnimationUniversity of Information Science and TechnologySt.Paul the ApostlePartizanska B.B.Ohrid 6000Republic of North Macedonia Faculty of Communication Networks and Security University of Information Science and TechnologySt.Paul the ApostlePartizanska B.B.Ohrid 6000Republic of North Macedonia

This research addresses the design of intensity-curvature functional(ICF)based digital high pass filter(HPF).ICF is calculated from bivariate cubic B-spline model polynomial function and is called ICF-based *** order to calculate ICF,the model function needs to be second order differentiable and to have non-null classic-curvature calculated at the origin(0,0)of the pixel coordinate *** theoretical basis of this research is called intensitycurvature *** concept envisions to replace signal intensity with the product between signal intensity and sum of second order partial derivatives of the model *** of the concept in two-dimensions(2D)makes it possible to calculate the ICF of an *** treatise is presented to demonstrate the hypothesis that ICF is HPF *** evidence then validates the assumption and also extends the comparison between ICF-based HPF and ten different HPFs among which is traditional HPF and particle swarm optimization(PSO)based *** comparison of image space and k-space magnitude,results indicate that HPFs behave *** HPF filtering and ICF-based filtering are superior to PSO-based *** filtered with traditional HPF are sharper than images filtered with ICF-based *** contribution of this research can be summarized as follows:(1)Math description of the constraints that ICF need to obey to in order to function as HPF;(2)Math of ICF-based HPF of bivariate cubic B-spline;(3)Image space comparisons between HPFs;(4)K-space magnitude comparisons between *** research provides confirmation on the math procedure to use in order to design 2D HPF from a model bivariate polynomial function.

关键词： Intensity-curvature functional High pass filter B-spline Particle swarm optimization K-space

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