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Trigonometric splines and geometric continuity of surfaces

Przemyslaw Kiciak
Instytut Matematyki Stosowanej i Mechaniki, Uniwersytet Warszawski
ul. Banacha 2, 02--097 Warszawa, Poland
e--mail: przemek@mimuw.edu.pl

Abstract:
Trigonometric splines are introduced as a tool for description of
a smooth surface in a neighbourhood of a common corner of patches
being the surface components. This description, developed for the
case of curvature continuity, significantly narrows the gap between
the necessary and known sufficient conditions of compatibility of
partial derivatives.

Keywords:
Geometric continuity of surfaces, curvature continuity,
trigonometric splines.



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