Discrete linear objects in dimension n: the standard model

Eric Andres
2003 Graphical Models  
A new analytical description model, called the standard model, for the discretization of Euclidean linear objects (point, m-flat, m-simplex) in dimension n is proposed. The objects are defined analytically by inequalities. This allows a global definition independent of the number of discrete points. A method is provided to compute the analytical description for a given linear object. A discrete standard model has many properties in common with the supercover model from which it derives.
more » ... contrary to supercover objects, a standard object does not have bubbles. A standard object is ðn À 1Þ-connected, tunnel-free and bubble-free. The standard model is geometrically consistent. The standard model is well suited for modelling applications.
doi:10.1016/s1524-0703(03)00004-3 fatcat:zpmc53t7evctdmefmmybu47adm