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- W3025231503 abstract "We define general geometric subdivision schemes generating curves on the 2-dimensional unit sphere by using geodesic polygons and the spherical distance. We show that a spherical interpolatory geometric subdivision scheme is convergent if the sequence of maximum edge lengths is summable and the limit curve is G1-continuous if in addition the sequence of maximum angular defects is summable. In particular, we study the case of bisector interpolatory schemes. Some experimental examples are given to demonstrate the excellent properties of these schemes." @default.
- W3025231503 created "2020-05-21" @default.
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- W3025231503 date "2020-06-01" @default.
- W3025231503 modified "2023-09-26" @default.
- W3025231503 title "Spherical interpolatory geometric subdivision schemes" @default.
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- W3025231503 doi "https://doi.org/10.1016/j.cagd.2020.101871" @default.
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