A novel functional mapping framework gets to the point
The equation of a line is a mathematical map, assigning to each x a value y. While there are many more complex mapping functions, in general, they formulate a correspondence between points on shapes. Within the last couple of decades, a framework for functional mapping has emerged that represents maps between pairs of shapes (real-valued functions), rather than points on the shapes, using a linear approximation of the functional spaces. It enables a map representation that is at once very compact yet suitable for global inference. The EU-funded NON-LINFMAPS project will extend this framework to incorporate non-linearity via innovative representations and techniques for point-to-point matching.