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Boolean surfaces with shape constraints
Authors:Paolo Costantini  Maria Lucia Sampoli
Affiliation:Dipartimento di Scienze Matematiche ed Informatiche, Pian dei Mantellini 44, Siena, Italy
Abstract:In this paper, we present a new method for the construction of parametric surfaces reproducing an object from a set of spatial data. We adopt a hybrid scheme, based on the Boolean sum of variable degree spline operators, which both interpolate a set of grid lines and approximate the data. As usual the variable degrees can be chosen to satisfy proper shape constraints.
Keywords:Boolean schemes  Best approximation  Shape preservation  Variable degrees
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