Method for reconstructing a distance field of a swept volume at a sample point

A method for reconstructing a distance field of an object at a sample point, wherein the object comprises a swept volume generated by moving a shape along a path, comprising a processor for performing steps of the method, the method comprising the steps of:

• representing the shape by a shape distance field;
• representing the path by a parametric function;
• and
• determining distance data at the sample point, wherein the distance data characterizes the distance field of the object at the sample point, the determining of the distance data further comprising the steps of:
• determining in a continuous manner, an optimal set of parameters of the parametric function representing the path, the optimal set of parameters defining an optimal placement of the shape along the path;
• transforming the shape distance field to the optimal placement to produce a transformed shape distance field;
• and
• determining distance data from the transformed shape distance field at the sample point to reconstruct the distance field of the object at the sample point.