I'm trying to create my own 3d shape descriptor, the idea is that how I may evaluate how much my descriptor is well and good?
What I checked is that they evaluate descriptors through shape matching, shape retrieval, etc..
But my case now is before applying my descriptor to an application, though, Descriptor could be well if it satisfies properties like being invariant to transformations (scale, rotation, translation).
How much this is accurate, and if we suppose this, that I already trying to implement, my case is that I have feature vector for descriptor a for main model and same descriptor for the scaled object for example, How should I verify that it's invariant to scale or not? what kind of equation applied for example!