Reprojection of Graphics Objects
Many Mapping Toolbox™ cartographic functions project features on an
            axesm-based map based on their designated latitude-longitude
            positions. The latitudes and longitudes are mathematically transformed to
                x and y positions using the formulas for
            the current map projection. If the map projection or its parameters change, objects on
            an axesm-based map can be automatically reprojected to update the
            map display accordingly.
The table summarizes the four common use cases for changing a map projection in an
                axesm-based map with setm or for
            reprojecting map data plotted on a regular MATLAB® axes.
| Mapping Use Case | Type of Axes | Reprojection Behavior | 
|---|---|---|
| Plot geographic (latitude-longitude) vector
                                coordinate data or data grid using a Mapping Toolbox function from releases prior to Version 2 (e.g., plotm) | axesm-based map | Automatic reprojection | 
| Plot geographic vector data with geoshow | axesm-based map | No automatic reprojection; delete graphics objects prior to changing the projection and redraw them afterwards. | 
| Plot data grids, images, and contours with geographic coordinates
                                with geoshow | axesm-based map | Automatic reprojection; this behavior could change in a future release | 
| Plot projected (x-y) vector or raster map
                                data with mapshowor with a MATLAB graphics function (e.g.,line,contour, orsurf) | Regular axes | Manual reprojection (reproject coordinates with projinv/projfwd);
                                delete graphics objects prior to changing the projection and redraw
                                them afterwards. | 
You can use handlem to help identify which objects to
            delete when manual deletion is necessary. See Work with Objects by Name for an example of its use.
Auto-Reprojection of Mapped Objects and Its Limitations
Using the setm function, you can change the
                current map projection on the fly if the map display was created in a way that
                permits reprojection. Note that map displays can contain objects that cannot be
                reprojected, and may need to be explicitly deleted and redrawn. Automatic
                reprojection will take place when you use setm to modify the
                    MapProjection property, or any other
                    axesm-based map property from the following list:
- AngleUnits
- Aspect
- FalseEasting
- FalseNorthing
- FLatLimit
- FLonLimit
- Geoid
- MapLatLimit
- MapLonLimit
- MapParallels
- Origin
- ScaleFactor
- TrimLat
- TrimLon
- Zone
Auto-reprojection takes place for objects created with any of the following Mapping Toolbox functions:
The above Mapping Toolbox functions are analogous to standard MATLAB graphics functions having the same name, less the trailing
                    m. You can use both types of functions to plot data on an
                    axesm-based map, as long as you are aware that the standard
                    MATLAB graphics functions do not apply map projection transformations, and
                therefore require you to specify positions in map x-y
                space.
In general, objects created with geoshow or with a combination of calls to projfwd followed by ordinary MATLAB graphics functions, such as line,
                    patch, or surface, are
                    not automatically reprojected. You should delete such
                objects whenever you change one or more of the axesm-based map
                properties listed above, and then redisplay them. 
If you have preprojected vector or raster map data or read such data from files,
                you can display it with mapshow or standard MATLAB graphics functions, such as plot or mesh. If its projection is known
                and is included in the Mapping Toolbox projection libraries, you can use its parameters to project geodata in
                geographic coordinates to display it in the same axes.
Reprojectability of Maps Generated Using geoshow
If you want to be able to change the projection of a map on the fly, you should
                not use geoshow. Some display functions, such as
                    patchm , fillm,
                    displaym, and linem, enable you to
                reproject vector map data, but geoshow does not. That is, when
                you change an axesm-based map projection, with
                    setm for example, vector map symbology that was created
                with geoshow will not be transformed. Gridded data rendered
                with geoshow (when DisplayType is
                    surface, texturemap, or
                    contour), however, can be reprojected.
For examples of reprojection behavior with vector data and raster data, see Change Map Projections When Using geoshow.