From 761f1edac4f0cf8df03806eb5020e08d821f2c5c Mon Sep 17 00:00:00 2001 From: Scott Shambaugh Date: Thu, 21 Oct 2021 22:24:18 -0600 Subject: [PATCH 1/2] Add a roll angle for viewing 3D plots Add roll angle for 3d plot examples Align rotation of 3D plot by mouse with rolled axes 3D plot roll angle flake8, tests, and whats new Fix plot flipping at elev>270 Test for 3d plot with elev>270 Normalize the displayed angles for 3d plots when rotating with mouse Make elev, azim, roll ordering consistent everywhere Rename roll angle to tilt Speed up calculations for default tilt=0 Code review updates Switch tilt naming back to roll, flip rotation handedness Switch tilt naming back to roll, flip rotation handedness --- .../next_whats_new/3d_plot_roll_angle.rst | 21 ++++++ examples/mplot3d/2dcollections3d.py | 2 +- examples/mplot3d/box3d.py | 2 +- examples/mplot3d/rotate_axes3d_sgskip.py | 2 +- lib/mpl_toolkits/mplot3d/axes3d.py | 62 ++++++++++++------ lib/mpl_toolkits/mplot3d/proj3d.py | 59 +++++++++-------- .../test_mplot3d/bar3d_shaded.png | Bin 109496 -> 124291 bytes .../test_mplot3d/tricontour.png | Bin 55099 -> 55109 bytes lib/mpl_toolkits/tests/test_mplot3d.py | 32 ++++----- 9 files changed, 117 insertions(+), 63 deletions(-) create mode 100644 doc/users/next_whats_new/3d_plot_roll_angle.rst diff --git a/doc/users/next_whats_new/3d_plot_roll_angle.rst b/doc/users/next_whats_new/3d_plot_roll_angle.rst new file mode 100644 index 000000000000..5ebb38a2ff16 --- /dev/null +++ b/doc/users/next_whats_new/3d_plot_roll_angle.rst @@ -0,0 +1,21 @@ +3D plots gained a 3rd "roll" viewing angle +------------------------------------------ + +3D plots can now be viewed from any orientation with the addition of a 3rd roll +angle, which rotates the plot about the viewing axis. Interactive rotation +using the mouse still only controls elevation and azimuth, meaning that this +feature is relevant to users who create more complex camera angles +programmatically. The default roll angle of 0 is backwards-compatible with +existing 3D plots. + +.. plot:: + :include-source: true + + from mpl_toolkits.mplot3d import axes3d + import matplotlib.pyplot as plt + fig = plt.figure() + ax = fig.add_subplot(projection='3d') + X, Y, Z = axes3d.get_test_data(0.05) + ax.plot_wireframe(X, Y, Z, rstride=10, cstride=10) + ax.view_init(elev=0, azim=0, roll=30) + plt.show() diff --git a/examples/mplot3d/2dcollections3d.py b/examples/mplot3d/2dcollections3d.py index f4d57416355d..5760d429775e 100644 --- a/examples/mplot3d/2dcollections3d.py +++ b/examples/mplot3d/2dcollections3d.py @@ -43,6 +43,6 @@ # Customize the view angle so it's easier to see that the scatter points lie # on the plane y=0 -ax.view_init(elev=20., azim=-35) +ax.view_init(elev=20., azim=-35, roll=0) plt.show() diff --git a/examples/mplot3d/box3d.py b/examples/mplot3d/box3d.py index 7dc82248c3df..f5642e229110 100644 --- a/examples/mplot3d/box3d.py +++ b/examples/mplot3d/box3d.py @@ -68,7 +68,7 @@ ) # Set distance and angle view -ax.view_init(40, -30) +ax.view_init(40, -30, 0) ax.dist = 11 # Colorbar diff --git a/examples/mplot3d/rotate_axes3d_sgskip.py b/examples/mplot3d/rotate_axes3d_sgskip.py index be8adf3c29a0..0b6497d5118b 100644 --- a/examples/mplot3d/rotate_axes3d_sgskip.py +++ b/examples/mplot3d/rotate_axes3d_sgskip.py @@ -23,6 +23,6 @@ # rotate the axes and update for angle in range(0, 360): - ax.view_init(30, angle) + ax.view_init(30, angle, 0) plt.draw() plt.pause(.001) diff --git a/lib/mpl_toolkits/mplot3d/axes3d.py b/lib/mpl_toolkits/mplot3d/axes3d.py index a29b075e030d..bacf9613961a 100644 --- a/lib/mpl_toolkits/mplot3d/axes3d.py +++ b/lib/mpl_toolkits/mplot3d/axes3d.py @@ -54,7 +54,7 @@ class Axes3D(Axes): def __init__( self, fig, rect=None, *args, - azim=-60, elev=30, sharez=None, proj_type='persp', + elev=30, azim=-60, roll=0, sharez=None, proj_type='persp', box_aspect=None, computed_zorder=True, **kwargs): """ @@ -64,10 +64,12 @@ def __init__( The parent figure. rect : (float, float, float, float) The ``(left, bottom, width, height)`` axes position. - azim : float, default: -60 - Azimuthal viewing angle. elev : float, default: 30 Elevation viewing angle. + azim : float, default: -60 + Azimuthal viewing angle. + roll : float, default: 0 + Roll viewing angle. sharez : Axes3D, optional Other axes to share z-limits with. proj_type : {'persp', 'ortho'} @@ -101,6 +103,7 @@ def __init__( self.initial_azim = azim self.initial_elev = elev + self.initial_roll = roll self.set_proj_type(proj_type) self.computed_zorder = computed_zorder @@ -112,7 +115,7 @@ def __init__( # inhibit autoscale_view until the axes are defined # they can't be defined until Axes.__init__ has been called - self.view_init(self.initial_elev, self.initial_azim) + self.view_init(self.initial_elev, self.initial_azim, self.initial_roll) self._sharez = sharez if sharez is not None: @@ -976,7 +979,7 @@ def clabel(self, *args, **kwargs): """Currently not implemented for 3D axes, and returns *None*.""" return None - def view_init(self, elev=None, azim=None, vertical_axis="z"): + def view_init(self, elev=None, azim=None, roll=None, vertical_axis="z"): """ Set the elevation and azimuth of the axes in degrees (not radians). @@ -992,6 +995,10 @@ def view_init(self, elev=None, azim=None, vertical_axis="z"): The azimuth angle in the horizontal plane in degrees. If None then the initial value as specified in the `Axes3D` constructor is used. + roll : float, default: None + The roll angle about the viewing direction in degrees. + If None then the initial value as specified in the `Axes3D` + constructor is used. vertical_axis : {"z", "x", "y"}, default: "z" The axis to align vertically. *azim* rotates about this axis. """ @@ -1008,6 +1015,11 @@ def view_init(self, elev=None, azim=None, vertical_axis="z"): else: self.azim = azim + if roll is None: + self.roll = self.initial_roll + else: + self.roll = roll + self._vertical_axis = _api.check_getitem( dict(x=0, y=1, z=2), vertical_axis=vertical_axis ) @@ -1046,8 +1058,10 @@ def get_proj(self): # elev stores the elevation angle in the z plane # azim stores the azimuth angle in the x,y plane - elev_rad = np.deg2rad(self.elev) - azim_rad = np.deg2rad(self.azim) + # roll stores the roll angle about the view axis + elev_rad = np.deg2rad(art3d._norm_angle(self.elev)) + azim_rad = np.deg2rad(art3d._norm_angle(self.azim)) + roll_rad = np.deg2rad(art3d._norm_angle(self.roll)) # Coordinates for a point that rotates around the box of data. # p0, p1 corresponds to rotating the box only around the @@ -1077,7 +1091,7 @@ def get_proj(self): V = np.zeros(3) V[self._vertical_axis] = -1 if abs(elev_rad) > 0.5 * np.pi else 1 - viewM = proj3d.view_transformation(eye, R, V) + viewM = proj3d.view_transformation(eye, R, V, roll_rad) projM = self._projection(-self.dist, self.dist) M0 = np.dot(viewM, worldM) M = np.dot(projM, M0) @@ -1165,14 +1179,15 @@ def _button_release(self, event): def _get_view(self): # docstring inherited return (self.get_xlim(), self.get_ylim(), self.get_zlim(), - self.elev, self.azim) + self.elev, self.azim, self.roll) def _set_view(self, view): # docstring inherited - xlim, ylim, zlim, elev, azim = view + xlim, ylim, zlim, elev, azim, roll = view self.set(xlim=xlim, ylim=ylim, zlim=zlim) self.elev = elev self.azim = azim + self.roll = roll def format_zdata(self, z): """ @@ -1199,8 +1214,12 @@ def format_coord(self, xd, yd): if self.button_pressed in self._rotate_btn: # ignore xd and yd and display angles instead - return (f"azimuth={self.azim:.0f}\N{DEGREE SIGN}, " - f"elevation={self.elev:.0f}\N{DEGREE SIGN}" + norm_elev = art3d._norm_angle(self.elev) + norm_azim = art3d._norm_angle(self.azim) + norm_roll = art3d._norm_angle(self.roll) + return (f"elevation={norm_elev:.0f}\N{DEGREE SIGN}, " + f"azimuth={norm_azim:.0f}\N{DEGREE SIGN}, " + f"roll={norm_roll:.0f}\N{DEGREE SIGN}" ).replace("-", "\N{MINUS SIGN}") # nearest edge @@ -1253,8 +1272,12 @@ def _on_move(self, event): # get the x and y pixel coords if dx == 0 and dy == 0: return - self.elev = art3d._norm_angle(self.elev - (dy/h)*180) - self.azim = art3d._norm_angle(self.azim - (dx/w)*180) + + roll = np.deg2rad(self.roll) + delev = -(dy/h)*180*np.cos(roll) + (dx/w)*180*np.sin(roll) + dazim = -(dy/h)*180*np.sin(roll) - (dx/w)*180*np.cos(roll) + self.elev = self.elev + delev + self.azim = self.azim + dazim self.get_proj() self.stale = True self.figure.canvas.draw_idle() @@ -1267,7 +1290,8 @@ def _on_move(self, event): minx, maxx, miny, maxy, minz, maxz = self.get_w_lims() dx = 1-((w - dx)/w) dy = 1-((h - dy)/h) - elev, azim = np.deg2rad(self.elev), np.deg2rad(self.azim) + elev = np.deg2rad(self.elev) + azim = np.deg2rad(self.azim) # project xv, yv, zv -> xw, yw, zw dxx = (maxx-minx)*(dy*np.sin(elev)*np.cos(azim) + dx*np.sin(azim)) dyy = (maxy-miny)*(-dx*np.cos(azim) + dy*np.sin(elev)*np.sin(azim)) @@ -3249,11 +3273,11 @@ def _extract_errs(err, data, lomask, himask): quiversize = np.mean(np.diff(quiversize, axis=0)) # quiversize is now in Axes coordinates, and to convert back to data # coordinates, we need to run it through the inverse 3D transform. For - # consistency, this uses a fixed azimuth and elevation. - with cbook._setattr_cm(self, azim=0, elev=0): + # consistency, this uses a fixed elevation, azimuth, and roll. + with cbook._setattr_cm(self, elev=0, azim=0, roll=0): invM = np.linalg.inv(self.get_proj()) - # azim=elev=0 produces the Y-Z plane, so quiversize in 2D 'x' is 'y' in - # 3D, hence the 1 index. + # elev=azim=roll=0 produces the Y-Z plane, so quiversize in 2D 'x' is + # 'y' in 3D, hence the 1 index. quiversize = np.dot(invM, np.array([quiversize, 0, 0, 0]))[1] # Quivers use a fixed 15-degree arrow head, so scale up the length so # that the size corresponds to the base. In other words, this constant diff --git a/lib/mpl_toolkits/mplot3d/proj3d.py b/lib/mpl_toolkits/mplot3d/proj3d.py index cce89c5f3554..c7c2f93230be 100644 --- a/lib/mpl_toolkits/mplot3d/proj3d.py +++ b/lib/mpl_toolkits/mplot3d/proj3d.py @@ -51,34 +51,41 @@ def world_transformation(xmin, xmax, [0, 0, 0, 1]]) -def view_transformation(E, R, V): +def rotation_about_vector(v, angle): + """ + Produce a rotation matrix for an angle in radians about a vector. + """ + vx, vy, vz = v / np.linalg.norm(v) + s = np.sin(angle) + c = np.cos(angle) + t = 2*np.sin(angle/2)**2 # more numerically stable than t = 1-c + + R = np.array([ + [t*vx*vx + c, t*vx*vy - vz*s, t*vx*vz + vy*s], + [t*vy*vx + vz*s, t*vy*vy + c, t*vy*vz - vx*s], + [t*vz*vx - vy*s, t*vz*vy + vx*s, t*vz*vz + c]]) + + return R + + +def view_transformation(E, R, V, roll): n = (E - R) - ## new -# n /= np.linalg.norm(n) -# u = np.cross(V, n) -# u /= np.linalg.norm(u) -# v = np.cross(n, u) -# Mr = np.diag([1.] * 4) -# Mt = np.diag([1.] * 4) -# Mr[:3,:3] = u, v, n -# Mt[:3,-1] = -E - ## end new - - ## old - n = n / np.linalg.norm(n) + n = n/np.linalg.norm(n) u = np.cross(V, n) - u = u / np.linalg.norm(u) - v = np.cross(n, u) - Mr = [[u[0], u[1], u[2], 0], - [v[0], v[1], v[2], 0], - [n[0], n[1], n[2], 0], - [0, 0, 0, 1]] - # - Mt = [[1, 0, 0, -E[0]], - [0, 1, 0, -E[1]], - [0, 0, 1, -E[2]], - [0, 0, 0, 1]] - ## end old + u = u/np.linalg.norm(u) + v = np.cross(n, u) # Will be a unit vector + + # Save some computation for the default roll=0 + if roll != 0: + # A positive rotation of the camera is a negative rotation of the world + Rroll = rotation_about_vector(n, -roll) + u = np.dot(Rroll, u) + v = np.dot(Rroll, v) + + Mr = np.eye(4) + Mt = np.eye(4) + Mr[:3, :3] = [u, v, n] + Mt[:3, -1] = -E return np.dot(Mr, Mt) diff --git a/lib/mpl_toolkits/tests/baseline_images/test_mplot3d/bar3d_shaded.png b/lib/mpl_toolkits/tests/baseline_images/test_mplot3d/bar3d_shaded.png index 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Should be square + ax.view_init(90, 45, 0) # look down, rotated. Should be square def test_plotsurface_1d_raises(): @@ -860,7 +860,8 @@ def _test_proj_make_M(): E = np.array([1000, -1000, 2000]) R = np.array([100, 100, 100]) V = np.array([0, 0, 1]) - viewM = proj3d.view_transformation(E, R, V) + roll = 0 + viewM = proj3d.view_transformation(E, R, V, roll) perspM = proj3d.persp_transformation(100, -100) M = np.dot(perspM, viewM) return M @@ -925,7 +926,8 @@ def test_proj_axes_cube_ortho(): E = np.array([200, 100, 100]) R = np.array([0, 0, 0]) V = np.array([0, 0, 1]) - viewM = proj3d.view_transformation(E, R, V) + roll = 0 + viewM = proj3d.view_transformation(E, R, V, roll) orthoM = proj3d.ortho_transformation(-1, 1) M = np.dot(orthoM, viewM) @@ -1044,7 +1046,7 @@ def test_axes3d_isometric(): for s, e in combinations(np.array(list(product(r, r, r))), 2): if abs(s - e).sum() == r[1] - r[0]: ax.plot3D(*zip(s, e), c='k') - ax.view_init(elev=np.degrees(np.arctan(1. / np.sqrt(2))), azim=-45) + ax.view_init(elev=np.degrees(np.arctan(1. / np.sqrt(2))), azim=-45, roll=0) ax.grid(True) @@ -1596,7 +1598,7 @@ def test_computed_zorder(): linestyle='--', color='green', zorder=4) - ax.view_init(azim=-20, elev=20) + ax.view_init(elev=20, azim=-20, roll=0) ax.axis('off') @@ -1683,7 +1685,7 @@ def test_view_init_vertical_axis( """ rtol = 2e-06 ax = plt.subplot(1, 1, 1, projection="3d") - ax.view_init(azim=0, elev=0, vertical_axis=vertical_axis) + ax.view_init(elev=0, azim=0, roll=0, vertical_axis=vertical_axis) ax.figure.canvas.draw() # Assert the projection matrix: From b10cfcc9c4427e95b25745c220f46020abf12a69 Mon Sep 17 00:00:00 2001 From: Scott Shambaugh Date: Wed, 24 Nov 2021 10:01:01 -0700 Subject: [PATCH 2/2] Better elev/azim/roll docstrings --- lib/mpl_toolkits/mplot3d/axes3d.py | 35 ++++++++++++++++++++++-------- 1 file changed, 26 insertions(+), 9 deletions(-) diff --git a/lib/mpl_toolkits/mplot3d/axes3d.py b/lib/mpl_toolkits/mplot3d/axes3d.py index bacf9613961a..ba8dc1ccbf3f 100644 --- a/lib/mpl_toolkits/mplot3d/axes3d.py +++ b/lib/mpl_toolkits/mplot3d/axes3d.py @@ -65,11 +65,18 @@ def __init__( rect : (float, float, float, float) The ``(left, bottom, width, height)`` axes position. elev : float, default: 30 - Elevation viewing angle. + The elevation angle in degrees rotates the camera above and below + the x-y plane, with a positive angle corresponding to a location + above the plane. azim : float, default: -60 - Azimuthal viewing angle. + The azimuthal angle in degrees rotates the camera about the z axis, + with a positive angle corresponding to a right-handed rotation. In + other words, a positive azimuth rotates the camera about the origin + from its location along the +x axis towards the +y axis. roll : float, default: 0 - Roll viewing angle. + The roll angle in degrees rotates the camera about the viewing + axis. A positive angle spins the camera clockwise, causing the + scene to rotate counter-clockwise. sharez : Axes3D, optional Other axes to share z-limits with. proj_type : {'persp', 'ortho'} @@ -988,16 +995,26 @@ def view_init(self, elev=None, azim=None, roll=None, vertical_axis="z"): Parameters ---------- elev : float, default: None - The elevation angle in the vertical plane in degrees. - If None then the initial value as specified in the `Axes3D` + The elevation angle in degrees rotates the camera above the plane + pierced by the vertical axis, with a positive angle corresponding + to a location above that plane. For example, with the default + vertical axis of 'z', the elevation defines the angle of the camera + location above the x-y plane. + If None, then the initial value as specified in the `Axes3D` constructor is used. azim : float, default: None - The azimuth angle in the horizontal plane in degrees. - If None then the initial value as specified in the `Axes3D` + The azimuthal angle in degrees rotates the camera about the + vertical axis, with a positive angle corresponding to a + right-handed rotation. For example, with the default vertical axis + of 'z', a positive azimuth rotates the camera about the origin from + its location along the +x axis towards the +y axis. + If None, then the initial value as specified in the `Axes3D` constructor is used. roll : float, default: None - The roll angle about the viewing direction in degrees. - If None then the initial value as specified in the `Axes3D` + The roll angle in degrees rotates the camera about the viewing + axis. A positive angle spins the camera clockwise, causing the + scene to rotate counter-clockwise. + If None, then the initial value as specified in the `Axes3D` constructor is used. vertical_axis : {"z", "x", "y"}, default: "z" The axis to align vertically. *azim* rotates about this axis.