Computational geometry: an introduction
Computational geometry: an introduction
Triangular Berstein-Be´zier patches
Computer Aided Geometric Design
Spatial tessellations: concepts and applications of Voronoi diagrams
Spatial tessellations: concepts and applications of Voronoi diagrams
Polynomial/rational approximation of Minkowski sum boundary curves
Graphical Models and Image Processing
Hermite interpolation by piecewise polynomial surfaces with rational offsets
Computer Aided Geometric Design
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
The Minkowski Sum of Two Simple Surfaces Generated by Slope-Monotone Closed Curves
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
Computing the Minkowski sum of ruled surfaces
Graphical Models
Rational surfaces with linear normals and their convolutions with rational surfaces
Computer Aided Geometric Design
Rational surfaces with linear normals and their convolutions with rational surfaces
Computer Aided Geometric Design
Proceedings of the 2010 ACM Symposium on Applied Computing
Computer Aided Geometric Design
Approximate convolution with pairs of cubic Bézier LN curves
Computer Aided Geometric Design
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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.