Filling N Sided Holes With Trimmed B Spline Surfaces Based on Energy Minimization MethodSource: Journal of Computing and Information Science in Engineering:;2015:;volume( 015 ):;issue: 001::page 11001Author:Liu, Xiaodong
DOI: 10.1115/1.4028632Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Using a trimmed rectangular BSpline surface to fill an nsided hole is a much desired operation in computer aided design (CAD), but few papers have addressed this issue. Based on an energyminimization or variational BSpline technique, the paper presents the technique of using one single trimmed rectangular BSpline surface to fill an nsided hole. The method is efficient and robust, and takes a fraction of a second to fill nsided holes with highquality waterproof BSpline surfaces under complex constraints. As the foundation of filling nsided holes, the paper also presents the framework and addresses the key issues on variational BSpline technique. Without any precalculation, the variational BSpline technique discussed in this paper can solve virtually any BSpline surface with up to 20,000 control points in real time, which is much more efficient and powerful than previous work in the variational BSpline field. Moreover, the result is accurate and satisfies CAD systems' highprecision requirements.
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contributor author | Liu, Xiaodong | |
date accessioned | 2017-05-09T01:16:00Z | |
date available | 2017-05-09T01:16:00Z | |
date issued | 2015 | |
identifier issn | 1530-9827 | |
identifier other | jcise_015_01_011001.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/157376 | |
description abstract | Using a trimmed rectangular BSpline surface to fill an nsided hole is a much desired operation in computer aided design (CAD), but few papers have addressed this issue. Based on an energyminimization or variational BSpline technique, the paper presents the technique of using one single trimmed rectangular BSpline surface to fill an nsided hole. The method is efficient and robust, and takes a fraction of a second to fill nsided holes with highquality waterproof BSpline surfaces under complex constraints. As the foundation of filling nsided holes, the paper also presents the framework and addresses the key issues on variational BSpline technique. Without any precalculation, the variational BSpline technique discussed in this paper can solve virtually any BSpline surface with up to 20,000 control points in real time, which is much more efficient and powerful than previous work in the variational BSpline field. Moreover, the result is accurate and satisfies CAD systems' highprecision requirements. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Filling N Sided Holes With Trimmed B Spline Surfaces Based on Energy Minimization Method | |
type | Journal Paper | |
journal volume | 15 | |
journal issue | 1 | |
journal title | Journal of Computing and Information Science in Engineering | |
identifier doi | 10.1115/1.4028632 | |
journal fristpage | 11001 | |
journal lastpage | 11001 | |
identifier eissn | 1530-9827 | |
tree | Journal of Computing and Information Science in Engineering:;2015:;volume( 015 ):;issue: 001 | |
contenttype | Fulltext |