A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme
2020 ◽
Vol 2020
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pp. 1-17
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Keyword(s):
In this article, we present a new subdivision scheme by using an interpolatory subdivision scheme and an approximating subdivision scheme. The construction of the subdivision scheme is based on translation of points of the 4-point interpolatory subdivision scheme to the new position according to three displacement vectors containing two shape parameters. We first study the characteristics of the new subdivision scheme analytically and then present numerical experiments to justify these analytical characteristics geometrically. We also extend the new derived scheme into its bivariate/tensor product version. This bivariate scheme is applicable on quadrilateral meshes to produce smooth limiting surfaces up to C 3 continuity.
2013 ◽
Vol 220
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pp. 339-349
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2013 ◽
Vol 32
(3)
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pp. 1-11
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1999 ◽
Vol 16
(8)
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pp. 789-792
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2001 ◽
Vol 09
(04)
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pp. 1499-1506
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2014 ◽
Vol 31
(7-8)
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pp. 464-474
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1987 ◽
Vol 4
(4)
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pp. 257-268
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2014 ◽
Vol 234
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pp. 402-411
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