Algebraic 3-D ModelingWritten for researchers and developers of three-dimensional modeling programs, this book examines the variety of existing systems while investigating the practical limitations of available software. From the table of contents: - Polyhedra - Boundary Models - A Small Language Modeler - The Algebraic Model - Computation of Algebraic Manifolds - Topological Specification of Forms and Shapes - The Modeling Principle - The GECO Language - Coefficients of a Projected Curve |
Contents
Polyhedra | 15 |
Boundary Models | 35 |
A Small Language Modeler | 55 |
Copyright | |
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Common terms and phrases
a'+b algebraic parameters algorithms analogously approximation arise Axioms binary operations Boolean algebra Boolean operations Boolean set operations boundary representation called complement computation condition numbers connection convex hulls cubic equation CUBOID curve cylinder DE³ defined definition DELETE describe dialog direct modeling algebra disjunctive normal form edge elementary objects error example extension Q(A Figure finite number floating-point numbers function fundamental set GECO geometric objects geometrically suitable half-spaces i-regular equality integer intersection inverse element language file Lemma linear means modifications monotone operations multiplication natural modeling algebra number of digits operands P₁ parametrically continuous plane polyhedron polyline possible quadric surfaces real number relative respect restricted result rounding scalar product separation set set algebra significant digits simple polyhedra small modeling algebra straight line summands supporting set symmetric difference term unit elements valid variables VECTOR weak Boolean algebra weak disjunctive normal ΔΡ