G1 Range Restricted Data Interpolation Using Bézier Triangular Patch

Pembinaan permukaan berparameter G 1 julat terhad kepada data yang semua terletak di sebelah satu satah kekangan dipertimbangkan. Permukaan interpolasi dibina secara cebis demi cebis daripada gabungan cembung tiga tampalan segi tiga Bézier kuartik. Syarat cukup untuk keselanjaran satah tangen sep...

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Bibliographic Details
Main Author: SI , PING
Format: Thesis
Language:English
Published: 2015
Subjects:
Online Access:http://eprints.usm.my/30338/1/SI_PING.pdf
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Summary:Pembinaan permukaan berparameter G 1 julat terhad kepada data yang semua terletak di sebelah satu satah kekangan dipertimbangkan. Permukaan interpolasi dibina secara cebis demi cebis daripada gabungan cembung tiga tampalan segi tiga Bézier kuartik. Syarat cukup untuk keselanjaran satah tangen sepanjang sempadan dua tampalan Bézier kuartik dibentangkan. The construction of range restricted G 1 parametric surface to data that all lie on one side of a constraint plane is considered. The interpolating surface is developed piecewise as the convex combination of three quartic Bézier triangular patches. Sufficient tangent plane continuity conditions along the common boundary of two adjacent quartic Bézier triangular patches are presented.