2024-03-04T02:08:26Zhttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_oaipmhoai:ipsj.ixsq.nii.ac.jp:000137532022-10-21T05:24:51Z00581:00755:00756
An Interactive Method for Designing Smooth Convex Curves by Using a Cubic B - spline FormulationAn Interactive Method for Designing Smooth Convex Curves by Using a Cubic B - spline Formulationeng論文http://id.nii.ac.jp/1001/00013753/Journal Articlehttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_action_common_download&item_id=13753&item_no=1&attribute_id=1&file_no=1Copyright (c) 1995 by the Information Processing Society of Japan基礎理論Department of Information Engineering Faculty of Engineering Nagoya UniversityDepartment of Information Engineering Faculty of Engineering Nagoya UniversityHui, GuanTatsuo, ToriiThis paper addresses the problem of designing smooth convex curves in an interactive graphics environment. Our main contribution to the solution of this problem is an easy-to-use and efficient design method using a cubic B-spline formulation in the case of given first derivatives at end-points. This method provides users with an intuitive practical way of handling convex curves based on a set of simple equations and a recursive subdivision manner. Because of the ease of computation and the simplicity of subdivision this method has several obvious advantages such as intuitiveness rapidity and convenience.This paper addresses the problem of designing smooth convex curves in an interactive graphics environment. Our main contribution to the solution of this problem is an easy-to-use and efficient design method using a cubic B-spline formulation, in the case of given first derivatives at end-points. This method provides users with an intuitive, practical way of handling convex curves, based on a set of simple equations and a recursive subdivision manner. Because of the ease of computation and the simplicity of subdivision, this method has several obvious advantages such as intuitiveness, rapidity, and convenience.AN00116647情報処理学会論文誌3612275427601995-12-151882-77642009-06-29