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Università della Svizzera italiana

Theory and applications of bijective barycentric mappings

Schneider, Teseo ; Hormann, Kai (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2017 ; 2017INFO007.

Barycentric coordinates provide a convenient way to represent a point inside a triangle as a convex combination of the triangle's vertices, and to linearly interpolate data given at these vertices. Due to their favourable properties, they are commonly applied in geometric modelling, finite element methods, computer graphics, and many other fields. In some of these applications it is desirable...