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Parametric Cubic Spline Interpolating Surfaces for Arbitrary Polygonal Meshes

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posted on 01.02.2022, 04:28 by JIAN-AO LIANJIAN-AO LIAN

An innovative and efficient algorithm was established for generating a G1 parametric bicubic spline interpolation surface (PACSIS) for any polygonal mesh. The resulting G1 surface interpolates all vertices of the quads; and the G1 smoothness was guaranteed by the special creation of new control points for each quad so that all tangent planes at any vertex match. The algorithm was demonstrated by a variety of PLY files representing different polygonal meshes. There will be more applications of PACSIS to areas such as signal and image processing, animation, data science, feature representation, mesh rendering, visualization, as well as computer graphics.

History

Email Address of Submitting Author

unurbs@yahoo.com

ORCID of Submitting Author

0000-0002-2266-6407

Submitting Author's Institution

Prairie View A&M University

Submitting Author's Country

United States of America