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.

Sampoli, M.L. (2005). Computing the convolution and the Minkowski sum of surfaces. In Proceedings of 21st Spring Conference on Computer Graphics (pp.109-115). ACM Digital Library.

Computing the convolution and the Minkowski sum of surfaces

SAMPOLI, MARIA LUCIA
2005-01-01

Abstract

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.
2005
8022320579
Sampoli, M.L. (2005). Computing the convolution and the Minkowski sum of surfaces. In Proceedings of 21st Spring Conference on Computer Graphics (pp.109-115). ACM Digital Library.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/18402
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