In this paper a variable-free parametric representation of manifolds is discussed, using transfinite interpolation or approximation, i.e. function blending in some functional space. This is a powerful approach to generation of curves, surfaces and solids (and even higher dimensional manifolds) by blending lower dimensional vector-valued functions. Transfinite blending, e.g. used in Gordon-Coons patches, is well known to mathematicians and CAD people. It is presented here in a very simple conceptual and computational framework, which leads such a powerful modeling to be easily handled even by the non mathematically sophisticated user of graphics techniques. In particular, transfinite blending is discussed in this paper by making use of a very powerful and simple functional language for geometric design. © Springer-Verlag Berlin Heidelberg 2003.
CITATION STYLE
Paoluzzi, A. (2003). Variable-free representation of manifolds via transfinite blending with a functional language. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2768, 338–354. https://doi.org/10.1007/978-3-540-39422-8_22
Mendeley helps you to discover research relevant for your work.