Introduce a class which represent a set of GSplines

[rafaelrojasmiliani]

Motivation

We are working with two different sets of GSpline

• Set 1: (Is a Manifold) The set of GSplines that passes through a series of waypoints. Is defined by
  • Sequence of waypoints
  • Domain
  • Basis
• Set 2: (Is a Vector Space) The set of Gsplines with unique domain interval lengths. Is defined by
  • Interval lengths
  • Domain
  • Basis
• Remark On space of functions and domain information Note that the Set 2 is a vector space for a given domain. Function with different domain cannot be added. In the case of Set 1, we have that all problems that involve it have a fixed domain.
• Remark on different domains We underline that the GSplines defined in different domains are isomorphic. We need to apply a linear dilation if the proportion between the lengths of the intervals rest the same.

A GSpline set can be a GSpline factory