1,721,064 research outputs found

    Boolean Surfaces with Shape Constraints

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    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 interpolates a set of grid lines and approximates the data. As usual the variable degrees can be chosen to satisfy proper shape constraints

    Triangular Surface Patches with Shape Constraints

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    We describe a triangular polynomial element with tension properties which can be seen as the triangular extension of univariate variable degree polynomials introduced in 2003. This element does not require any split of the triangular domain and can be used for the construction of composite triangular C1C^1 spline surfaces

    Computing the convolution and the Minkowski sum of surfaces

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    In many applications, such as NC tool path generation and robot motion planning, it is required to compute the Minkowski sum of two objects. Generally the Minkowski sum of two rational surfaces cannot be expressed in rational form. In this paper we show that for LN spline surfaces (surfaces with a linear field of normal vectors) a closed form representation is available. Copyright © 2005 by the Association for Computing Machinery, Inc
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