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models that give an infinitely recursive definition of the shape. However, these distinctions are often blurred: for instance, a
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model yields a parametric or implicit model when its recursive definition is truncated to a finite depth.
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Notable awards of the area are the John A. Gregory
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which represent the shape as a subset of a fine regular partition of space; and with
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Tutorials on
Multiresolution in Geometric Modelling: Summer School Lecture Notes
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An
Integrated Introduction to Computer Graphics and Geometric Modeling
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260:(CAD/CAM), and widely used in many applied technical fields such as
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Subdivision
Methods for Geometric Design: A Constructive Approach
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Curves and
Surfaces in Geometric Modeling: Theory and Algorithms
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This book is out of print and freely available from the author.
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that generates its appearance. They are also contrasted with
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are defined by implicit mathematical equations. Also, a
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and tools are available to assist in formatting, such as
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Neil
Dodgson; Michael S. Floater; Malcolm Sabin (2006).
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Introduction to the
Mathematics of Subdivision Surfaces
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Lars-Erik
Andersson; Neil Frederick Stewart (2010).
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593:Armin Iske; Ewald Quak; Michael S. Floater (2002).
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291:, which define the shape implicitly by an opaque
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563:Geometric Modeling: The mathematics of shapes
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663:. Springer Science & Business Media.
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640:Joseph D. Warren; Henrik Weimer (2002).
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379:List of interactive geometry software
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222:for the mathematical description of
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42:Please consider converting them to
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524:(3rd ed.). Industrial Press.
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659:Jörg Peters; Ulrich Reif (2008).
505:(5th ed.). Morgan Kaufmann.
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