Geometric Modeling

Detalles Bibliográficos
Autor principal: Mortenson, Michael E.
Formato: Libro
Lenguaje:Inglés
Publicado: Nueva Delhi : McGraw Hill, 2013.
Edición:3a ed.
Materias:
Aporte de:Registro referencial: Solicitar el recurso aquí
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100 1 |9 6672  |a Mortenson, Michael E. 
245 |a Geometric Modeling 
250 |a 3a ed. 
260 |a Nueva Delhi :  |b McGraw Hill,  |c 2013. 
300 |a xxi, 505 p. :  |b il., gra. ;  |c 24 cm. 
505 |a INTRODUCTION. -- What is geometric modeling?. -- History. -- The Mathematics. -- Vectors. -- Matrices. -- Conventions and Notation. -- CURVES. -- Intrinsic equiations of curves. -- Explicit and implicit equations of curves. -- Parametric equations of curves. -- Coninc curves. -- Points of conic curves. -- Hermite, Béizer, and B-spline curves: an overview. -- HERMITE CURVES. -- Algebraic and geometric forms. -- Hermite basis functions. -- Matrix form. -- Tangent vectors. -- Truncating and subdivinding. -- Three-point interpolation. -- Four-point interpolation. -- Conic hermite curves. -- Composite curve. -- BÉZIER CURVES. -- Bézier basis functions. -- Control points. -- Treuncating and subdividing. -- Composite Bézier curves. -- Rational Bézier curves. -- B-SPLINE CURVES. -- Nonuniform B-spline basis functions. -- Uniform B-spline basis functions. -- Quadratic and cubic B-spline basis funcionts. -- Closed B-spline curves. -- Continuity. -- Conversion between basis functions. -- Nonuniform rational B-spline curves. -- Representing coninc with NURBS curves. -- Cubic beta splines. -- SURFACES. -- Explicit and implicit equations of surfaces. -- Quadric surfaces. -- Parametric equation of surfaces. -- Points on a surface. -- Curve nets. -- Embedded curves. -- Hermite. Béxier, and B-spline surfaces: an overview. -- BICUBIC HERMITE SURFACES. -- Algebraic and geometric forms. -- Hermite patch basis functions. -- Tangent and twist vectors. -- Normals. -- 16-point form. -- Reparametrization of a patch. -- Truncating and sbdividing a patch. -- Composite hermite surfaces. -- Special hermite petches. -- Blend surfaces. -- BÉZIER SURFACES. -- The tensor product Béizer patch. -- The bicubic Béizer patch. -- A 3x5 rectangular arrat points. -- Converting betweeen bicubic Bézier and hermite forms. -- Degree Elevation in a Bézier surface. -- Composite Bézier surfaces. -- Rational Bézier patch. -- B-SPLINE SURFACES. -- The tensor product B-spline surface. -- Matrix form. -- Open and closed B-spline surfaces. -- Nonuniform rational B-spline surfaces. -- SOLIDS. -- Parametrics solids. -- The tribuic solid. -- Curves and surfaces embedded in a solid. -- Generalized notation scheme and higher-dimension elements. -- Instances and parametrized shapes. -- Sweep solids. -- Controlled deformation solids. -- COMPLEX MODEL CONSTRUCTION. -- Topology of models. -- Graph-based models. -- Boolean models. -- Boolean model construction. -- Constructive solid geometry. -- Boundary Models. -- GEOMETRIC PROPERTIES. -- Local properties of a curve. -- Global propierties of a curve. -- Local properties of a surface. -- Global properties of a surface. -- Global properties of complex solids. -- Relational properties. -- Intersections. -- Answers to selected exercises. -- Index. 
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