A DYNAMIC FRAMEWORK FOR SUBDIVISION SURFACES

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Sinopsis de A DYNAMIC FRAMEWORK FOR SUBDIVISION SURFACES

AbstractSubdivision surfaces are extensively used to model smooth shapes of arbitrary topology Recursive subdivision on a userdefined initial control mesh generates a visually pleasing smooth surface in the limit However users have to carefully select the intiail mesh andor manipulate the control vertex positions at different levels of subdivision hierarchy to satisfy the functional and aesthetic requirements in the smooth limit surface This modeling drawback results fromt eh lack of direct manipulation tools for the limit surface In this dissertation techniques from physicsbased modeling are integrated with geometric subdivision methodology and a dynamic framework is presented for direct manipulation of the smooth limit surface generated by the subdivision schemes using physics based force tools In a typical subdivision scheme the user starts with an initial control mesh which is refined recursively using a fixed set of subdivision rules and a smooth surface is produced in the limit Most often this limit surface does not have an analytic expression and hence poses challenging problems in incorporating mass and damping distribution functions internal deformation energy forces and other physical quantities required to develop a physicsbased subdivision surface model In this dissertation local parameterization techniques suitable for embedding the geometric subdivision surface model in a physicsbased modeling framework have been developed Specific local parameterization techniques have been fully developed for the CatmullClark modified butterfly and the Loop subdivision schemes Techniques for assigning material properties to geometric subdivision surfaces are derived and a motion equation for the dynamic model has been formulated using Lagrangian dynamics Furthermore advantages of the physicsbased deformable models are incorporated into the conventional subdivision schemes and a dynamic hierarchical control of this model is introduced Finally a multiresolut
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a dynamic framework for subdivision surfaces-9780530002446

Géneros:

Novela contemporánea

Narrativa española

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