A NEW PROOF OF THE SMOOTHNESS OF 4-POINT DESLAURIERS-DUBUC SCHEME (2008)
Youchun Tang, Kwan Pyo, Byung-gook Lee
Abstract. It is well-known that the smoothness of 4-point interpolatory Deslauriers-Dubuc(DD) subdivision scheme is C 1. N. Dyn[3] proved that 4-point interpolatory subdivision scheme is C 1 by means...
Quasi-interpolants Based Multilevel B-Spline Surface Reconstruction from Scattered Data ⋆ (2008)
Byung-gook Lee, Joon-jae Lee, Ki-ryoung Kwon
Abstract. This paper presents a new fast and local method of 3D surface reconstruction for scattered data. The algorithm makes use of quasiinterpolants to compute the control points from a coarse to...
3D surface reconstruction from scattered data using (2008)
Soon-jeong Ahn, Jaechil Yoo, Byung-gook Lee, Joon-jae Lee
moving least square method
Byung-gook Lee, Joon Jae Lee, Jaechil Yoo
In this paper, we propose an efficient approximation algorithm using multilevel B-splines based on quasiinterpolants. Multilevel technique uses a coarse to fine hierarchy to generate a sequence of...
Yoo-joo Choi, Yeon-ju Lee, Jungho Yoon, Byung-gook Lee, Young J. Kim
Abstract. We present a new class of non-stationary, interpolatory subdivision schemes that can exactly reconstruct parametric surfaces including exponential polynomials. The subdivision rules in our...
Computer Aided Geometric Design Reference (2007)
B. Lee, Byung-gook Lee, Hans J. Wolters, Gerald Farin, Computer Aided Geometric, Vol No, ...
nd display of piecewise polynomial surfaces, [74] IEEE Transactions on Pattern Analysis and Machine Intelligence, (80), Vol. PAMI-2, NO.1 [75] A.R.Forrest, The twisted cubic curve:a computer-aided...
Degree Elevation of B-spline Curves and Its Matrix Form (2007)
An algorithmic approach to degree elevation of B--spline curves is presented. The new algorithms are based on the blossoming process and its matrix representation. The elevation method is introduced...
The Degree Elevation and L_2 Distance for the Rational Bézier Curves (2007)
Byung-Gook Lee, Kwan-Pyo Ko, Yunbeom Park
An algorithmic approachtodegreeelevation of rational B'ezier curves is presented.
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Publisher Taylor, Publication Details, Subscription Information, Abedallah Rababah, Byung-gook Lee, Jaechil Yoo
This article maybe used for research, teaching and private study purposes. Any substantial or systematic reproduction, re-distribution, re-selling, loan or sub-licensing, systematic supply or...
Some examples of quasiinterpolants constructed from local spline projectors (2000)
Byung-gook Lee, Tom Lyche, Knut Mørken
Abstract. We give a recipe for deriving local spline approximation methods which reproduce the whole spline space. The methods are obtained by solving a series of local approximation problems....
Approximate Conversion of Rational Bézier Curves (1998)
It is frequently importanttoapproximate a rational B'ezier curvebyanintegral, i.e., polynomial one. This need will arise when a rational B'ezier curve is produced in one CAD system...
Distance for Bézier curves and degree reduction (1997)
Abstract. An algorithmic approach to degree reduction of Bezier curves is presented. The algorithm is based on the matrix representations of the degree elevation and degree reduction processes. The...
Teresa Liew, Bao Yng, Byung-gook Lee, Hoon Yoo
Abstract — In this paper, we introduce a new low complexity and lossless algorithm based on subband decomposition with the modified Hadamard transform (MHT) and adaptive Golomb-Rice (AGR) coding...