Skip to main content
. Author manuscript; available in PMC: 2017 Mar 1.
Published in final edited form as: Methods. 2015 Oct 17;96:33–39. doi: 10.1016/j.ymeth.2015.10.011

Figure 4.

Figure 4

Constructing a two-component diffeomorphic shape space map for a collection of cell and nuclear shapes. The distance between each pair of images is calculated (a) and stored in a distance matrix (b). The matrix is used to create a map (c), illustrated in this case using two dimensions (the map is an embedding of the high dimensional shape space into any desired number of dimensions). A shape can be generated for new points in the shape space by interpolation of the nearby shapes (d). In the example, synthesis of the shape at position 5 begins by projecting a line from the cell at position 4 through position 5 until it hits (at position 3) the line connecting positions 1 and 2. A shape corresponding to position 3 is then synthesized by morphing cell 1 into cell 2 just as far as the distance from position 1 to position 3. A shape for position 5 is then found by morphing the shape at position 3 towards position 4. From Johnson et al [33].