[Turkmath:7468] İstanbul Üniversitesi Matematik Bölüm Semineri

[RÜYA ÜSTER GÜNDÜZ]

Merhabalar,
İstanbul Üniversitesi Matematik Bölümü genel seminerinde 22.04.2026
tarihinde saat 15.00'te gerçekleşecek olan konuşmanın detayları aşağıdaki
gibidir.

İlgilenen herkesi bekleriz.

Zoom Toplantısına Katıl
https://istanbul-edu-tr.zoom.us/j/94814640880

Toplantı Kimliği: 948 1464 0880

Doç. Dr. Rüya ÜSTER GÜNDÜZ
Doç. Dr. Temha ERKOÇ
Araş. Gör. Dr. Büşra ARIS
Araş. Gör. Dr. Badik Hüseyin UYSAL


*Konuşmacı:* Fatma Zürnacı-Yetiş, Department of Mathematics Engineering,
Istanbul Technical University

*Başlık:* A Unified h–γ Blossoming for  Bézier  Curves in Translation
Invariant Spaces

*Özet: *Blossoming is a fundamental tool in geometric design, underlying
many constructions and
algorithms for  Bézier and related curve representations. In this talk, we
present an h–γ
blossoming framework for translation invariant (γ1, γ2) spaces, a class
that includes poly-
nomial, trigonometric, hyperbolic, and discrete function spaces. The
proposed construction
combines the ideas of γ-blossoming and h-blossoming within a single setting
and provides a
unified framework for studying  Bézier curves beyond the classical
polynomial case. Within
this framework, we introduce the corresponding h–γ Bernstein bases and h–γ
Bézier  curves,
and derive recursive evaluation algorithms, subdivision procedures, degree
elevation formu-
las, Marsden identities, and interpolation formulas. In particular, the
parameter h serves
not only as a new shape parameter but also gives rise to interpolation
properties that do not
arise in the standard γ-based setting.
This is joint work with Ronald N. Goldman and Plamen Simeonov.

-- 


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