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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11365/18402
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