for the joint prototype, since extracting instead of only the top two points solely from $\mathbf{h}$ potentially introduces suggested point locations forming impractical local clusters instead of spreading out with higher variance in the image domain. This process approximates the true influence or entropy (information gain) of each possible location for a new seed.

When all seed points presented to the user are toggled to their correct label, the user may click on the *new points* button to initiate the next iteration with an updated set of seed points . Another set of seed points is generated and displayed.

\(2) In addition to pre-selected seeds, a single new seed point $\mathbf{s}^n_0$ can be added manually via a user’s long-press on any location in the image. A desired change in the current labeling of this region is interpreted given this user action. Therefore, the new seed point’s initial label is set by inverting the current label of the given location. A new segmentation is initiated by this interaction based on . Note that the labels of are still subject to change via toggle interactions until the button is pressed.

![Joint segmentation prototype user interface. The user toggles the labels of pre-positioned 