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Essential Mathematics for Computational Design
Essential Mathematics for Computational Design by Robert McNeel Associates
is licensed under a Creative Commons Attribution-Share Alike 3.0 United States
License.
ii
Essential Mathematics for Computational Design
Preface
Essential Mathematics for Computational Design introduces design professionals
to foundation mathematical concepts that are necessary for effective development
of computational methods for 3D modeling and computer graphics. This is not
meant to be a complete and comprehensive resource, but rather an overview of
the basic and most commonly used concepts.
This book is directed towards designers who have little or no background in the
®
subject. It assumes that readers have good knowledge of Rhinoceros (Rhino),
®
NURBS modeling for Windows, and Grasshopper (GH), the visual scripting
environment for Rhino. Both are used as tools to explain various concepts. For
more information, go to and .
This book has three parts. The first discusses vector math including vector
representation, vector operation, and line and plane equations. The second part
reviews matrix operations and transformations. The third part includes a general
review of parametric curves with special focus on NURBS curves and the concepts
of continuity and curvature. The material in this book is based partly on a workshop
I held at the University of Texas at Arlington for the Tex-Fab event February, 2010.
Rajaa Issa
Rhino Development
Robert McNeel Associates
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