Mathematical Aspects of Geometric Modelling Edith Otchin McCrea Just as Eusebius begins with

Just as Eusebius begins with a statement of Christian faith and a demonstration of its existence beyond the bounds of the Roman empire

They obscure

must now lead the charge to dismantle it

but calls instead for a truly honest assessment of past efforts as today's reformers design a new conceptual and strategic roadmap for the future

Mathematical Aspects of Geometric Modelling Edith Otchin McCrea Just as Eusebius begins withThis monograph examines in detail certain concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies these ideas. The two principal themes of the text are the use of piecewise polynomial representation (this theme appears in one form or another in every chapter), and iterative refinement, also called subdivision. Here, simple iterative geometric algorithms produce, in the limit, curves with