Parameter Aligned Surface Trimming
Date
2018-01-18
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Abstract
Parametric surfaces are widely used for surface modelling because of their easy editing and fast rendering properties. However, trimming these models is not as straightforward as it is with other surface types and doing so often results in the loss of some or all of the parametric properties of the original surface. This thesis introduces a new representation for trimmed parametric surfaces which preserves the parametric properties of the surface.
Given a set of trimming curves in the parameter space of a surface, this method defines local subspaces aligned to the global parameter axes which surround groups of trimming curves. When multiple trimming curves are present, intersecting subspaces are further segmented using local Voronoi curve diagrams, allowing any shared subspace to be distributed equally between the trimming curves. Transition patches are then used to define local subspaces around the trimming curves each with their own parametrization that accommodates the trimmed edges. Coons patches are then created to map these local spaces to the global parameter space during rendering. This allows for high quality interpolation of the trimmed edges without affecting the parametric properties or continuity of the trimmed surface.
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Keywords
Computer Graphics, NURBS, Parametric Surface Trimming
Citation
Halbert, S. (2018). Parameter Aligned Surface Trimming (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/5417