[Turkmath:6967] İstanbul Bilgi Üniversitesi Matematik Seminerleri

[Oya Cesur Demir]

Prof. Dr. Kadri Arslan

(Uludağ University)
16 April Friday, at 14:00;
Bilgi Üniversitesi Dolapdere Kampüsü, Room:135.
Title:
Geometric Modeling with curves and surfaces

 Abstract:
The fitting of primitive models to image data is a basic task in computer graphics and computer vision, allowing reduction and simplification of data. One of the most commonly used models is the ellipse and superellipse. Superellipse is formed by incorporating additional parameter into the equation of ellipse. It can be used to represent in a compact form a large variety of shapes. However, fitting them to data is difficult and computationally expensive. Moreover, when partial data is available the parameter estimates become unreliable. Superquadrics can be considered as spherical product of two 2D curves are called superconics. Infect, superquadrics are solid models that can fairly simple parametrization of representing a large variety of standard geometric solids, as well as smooth shapes in between. This makes them much more convenient for representing rounded, blob-like shape parts, typical for object formed by natural process. The superquadrics, which are like phonemes in this description, language, can be deformed by stretching, bending, tapering or twisting, and then combined using Boolean operations to built complex objects.  Superquadrics are the special case of the supershapes, provided by Gielis  that have the advantage of representing polygonal with various symmetries. In this study we give some geometric models of such curves and surfaces.

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