Analysis of B-Spline curve using Discrete Fourier Transform Ashok Ganguly, Pranjali Arondekar Mathematical and Computational Applications, 2010 We apply the Discrete Fourier Transform to the construction of B-Spline curves to gain more insight into their structure. As a B-Spline curve is determined by its control polygon, this analysis is intimately linked to the Fourier analysis of the control polygon. To do this we apply Fast Fourier transform (FFT) algorithm to the structure of B-Spline curve and its rational form. We get inner structure of original B-Spline curve in the transform domain again in the form of B-Spline curve, having control polygon as regular or star polygon. Using the technique mentioned in the paper we get the same curve without change of shape in the transformed case of polygon points. We also extend the idea for the interval form of B-Spline Curve.
Application of generalized NAUT B-Spline curve on circular domain to generate circle involute World Academy of Science Engineering and Technology, 2009
RECENT SCHOLAR PUBLICATIONS
Bounds and Algorithm for the Domination number of Line Graph using Signless Laplacian Matrix kajal mittal pranjali kekre Indian Journal of natural sciecnes 13 (75) , 2022 2022.0
Reparametrization of Interval Bézier Curve on Rectangular and Circular Domain M Jain, P Arondekar, A Ganguly International Journal of Engineering 2 (11), 3073-3075 , 2013 2013.0
Analysis of B-spline curve using Discrete Fourier Transform A Ganguly, P Arondekar Mathematical and Computational Applications 15 (1), 127-136 , 2010 2010.0 Citations: 1
Least Square Approximation to Fit Scattered Data Using B-Spline Curve On Circular Domain PA Ashok Ganguly International Journal of Applied Mathematics and Eng. Sciences 4 (1), 1-8 , 2010 2010.0
A study related to Interval B–spline curve P Arondekar Far East Journal of Applied Mathematics 34 (2), 151-157 , 2009 2009.0 Citations: 2
Generalized hyperbolic class of B-Spline curves A Ganguly, P Arondekar FAR EAST JOURNAL OF MATHEMATICAL SCIENCES 26 (3), 579 , 2007 2007.0 Citations: 1
On the generation of Cam profile using parametric Bézier PA Ashok Ganguly Far East journal of Applied Mathematics 23 (1), 23-39 , 2006 2006.0
Hyperbolic class of Bezier-like curves A Ganguly, P Arondekar FAR EAST JOURNAL OF MATHEMATICAL SCIENCES 17 (1), 45 , 2005 2005.0
Pranjali Arondekar et Ashok Ganguly. A JOURNEY FROM DE-BOOR’S ALGORITHM TO DE CASTELJAU’S ALGORITHM FOR THE CONSTRUCTION OF B-SPLINE SURFACES & NURBS M Jain International Journal of Mathematical Archive (IJMA) ISSN, 2229-5046 , 0
Application of Generalized NAUT B-Spline Curve on Circular Domain to Generate Circle Involute A Ganguly, P Arondekar
MOST CITED SCHOLAR PUBLICATIONS
A study related to Interval B–spline curve P Arondekar Far East Journal of Applied Mathematics 34 (2), 151-157 , 2009 2009.0 Citations: 2
Analysis of B-spline curve using Discrete Fourier Transform A Ganguly, P Arondekar Mathematical and Computational Applications 15 (1), 127-136 , 2010 2010.0 Citations: 1
Generalized hyperbolic class of B-Spline curves A Ganguly, P Arondekar FAR EAST JOURNAL OF MATHEMATICAL SCIENCES 26 (3), 579 , 2007 2007.0 Citations: 1
Bounds and Algorithm for the Domination number of Line Graph using Signless Laplacian Matrix kajal mittal pranjali kekre Indian Journal of natural sciecnes 13 (75) , 2022 2022.0
Reparametrization of Interval Bézier Curve on Rectangular and Circular Domain M Jain, P Arondekar, A Ganguly International Journal of Engineering 2 (11), 3073-3075 , 2013 2013.0
Least Square Approximation to Fit Scattered Data Using B-Spline Curve On Circular Domain PA Ashok Ganguly International Journal of Applied Mathematics and Eng. Sciences 4 (1), 1-8 , 2010 2010.0
On the generation of Cam profile using parametric Bézier PA Ashok Ganguly Far East journal of Applied Mathematics 23 (1), 23-39 , 2006 2006.0
Hyperbolic class of Bezier-like curves A Ganguly, P Arondekar FAR EAST JOURNAL OF MATHEMATICAL SCIENCES 17 (1), 45 , 2005 2005.0
Pranjali Arondekar et Ashok Ganguly. A JOURNEY FROM DE-BOOR’S ALGORITHM TO DE CASTELJAU’S ALGORITHM FOR THE CONSTRUCTION OF B-SPLINE SURFACES & NURBS M Jain International Journal of Mathematical Archive (IJMA) ISSN, 2229-5046 , 0
Application of Generalized NAUT B-Spline Curve on Circular Domain to Generate Circle Involute A Ganguly, P Arondekar