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

作     者：Carlo Ciulla Grace Agyapong 

作者机构：Faculty of Information SystemsVisualizationMultimediaand AnimationUniversity of Information Science and TechnologySt.Paul the ApostlePartizanska B.B.Ohrid 6000Republic of North Macedonia Faculty of Communication Networks and SecurityUniversity of Information Science and TechnologySt.Paul the ApostlePartizanska B.B.Ohrid 6000Republic of North Macedonia 

出 版 物：《Visual Computing for Industry,Biomedicine,and Art》 (工医艺的可视计算（英文）)

年 卷 期：2019年第2卷第1期

页      面：75-92页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Department of Radiology Nanjing University of Information Science and Technology, NUIST 

主　　题：Intensity-curvature functional High pass filter B-spline Particle swarm optimization K-space 

摘      要：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.