From 2ab02a3cd72638ace9db47029c6b10ff00ee8978 Mon Sep 17 00:00:00 2001 From: dlegland Date: Tue, 23 Jul 2024 14:30:41 +0200 Subject: [PATCH] manual: add sample 3D shapes --- docs/matGeom-manual/images/geom3d/capsule.png | Bin 0 -> 32426 bytes .../images/geom3d/demoShapes3d.m | 57 +++ docs/matGeom-manual/images/geom3d/dome.png | Bin 0 -> 39686 bytes .../images/geom3d/ellipsoid.png | Bin 0 -> 45553 bytes docs/matGeom-manual/images/geom3d/torus.png | Bin 0 -> 75036 bytes docs/matGeom-manual/matGeom-manual.lyx | 324 +++++++++++++----- 6 files changed, 297 insertions(+), 84 deletions(-) create mode 100644 docs/matGeom-manual/images/geom3d/capsule.png create mode 100644 docs/matGeom-manual/images/geom3d/demoShapes3d.m create mode 100644 docs/matGeom-manual/images/geom3d/dome.png create mode 100644 docs/matGeom-manual/images/geom3d/ellipsoid.png create mode 100644 docs/matGeom-manual/images/geom3d/torus.png diff --git a/docs/matGeom-manual/images/geom3d/capsule.png 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+ +%% Ellipsoid + +elli = [10 20 30 50 30 10 10 20 30]; +fig1 = figure(1); clf; axis equal; hold on; +drawEllipsoid(elli); light; +view([20 10]); +title('Ellipsoid'); +print(fig1, 'ellipsoid.png', '-dpng'); + + +%% Capsule + +caps = [20 30 40 80 70 60 10]; +fig1 = figure(1); clf; axis equal; hold on; +drawCapsule(caps); light; +view([20 10]); +title('Capsule'); +print(fig1, 'capsule.png', '-dpng'); + + +%% Dome + +% dome = [20 30 40 80 70 60 10]; +fig1 = figure(1); clf; axis equal; hold on; +drawDome([10 20 30 10], [1 2 5]); light; +view([20 10]); +title('Dome'); +print(fig1, 'dome.png', '-dpng'); + diff --git a/docs/matGeom-manual/images/geom3d/dome.png b/docs/matGeom-manual/images/geom3d/dome.png new file mode 100644 index 0000000000000000000000000000000000000000..0afa4027b8a97d6c5e425d8237f420974e253e14 GIT binary patch literal 39686 zcmeFZWl&sE*EQI<1t+*P?(PnO;0_5SSg_!bpuq_Q_r@W(2Mg|y1b2sEA;H~Uzr*v) zJ5^ItQ}b)8z8}+73Dr&Cdynk1_u6Z(O_+w7JSI9RIs^j2R8)}Ff#ArSajRCw@7 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zdHhCdoAMfFPuDSVt&-*uViWNZe-hc6*Y14nv*Vja5wp&q)_kNAxHTw8bYqLrd Hx0rtc?~lJl literal 0 HcmV?d00001 diff --git a/docs/matGeom-manual/matGeom-manual.lyx b/docs/matGeom-manual/matGeom-manual.lyx index a5286a62..d734e013 100644 --- a/docs/matGeom-manual/matGeom-manual.lyx +++ b/docs/matGeom-manual/matGeom-manual.lyx @@ -15670,6 +15670,24 @@ circle!3D Circles in 3D are represented by a 1-by-7 row vector containing the coordinates of the centroid, the radius, and three Euler angles describing the orientation of the circle. + The three angles correspond to colatitude, + azimut, + and rotation around normal angle (see section +\begin_inset space ~ +\end_inset + + +\begin_inset CommandInset ref +LatexCommand ref +reference "fig:Orientation-3D-Shapes" +plural "false" +caps "false" +noprefix "false" +nolink "false" + +\end_inset + +). \end_layout \begin_layout Standard @@ -15679,7 +15697,7 @@ status open \begin_layout Plain Layout -circle = [x0 y0 z0 R PHI THETA PSI]; +circle = [x0 y0 z0 R THETA PHI PSI]; \end_layout \end_inset @@ -15877,13 +15895,31 @@ ellipse!3D Ellipses in 3D are represented by a 1-by-9 row vector containing the coordinates of the centroid, the length of the three semi-axes, and three Euler angles describing the orientation of the ellipse. + The three angles correspond to colatitude, + azimut, + and rotation around normal angle (see section +\begin_inset space ~ +\end_inset + + +\begin_inset CommandInset ref +LatexCommand ref +reference "fig:Orientation-3D-Shapes" +plural "false" +caps "false" +noprefix "false" +nolink "false" + +\end_inset + +). \begin_inset listings inline false status open \begin_layout Plain Layout -elli = [x0 y0 z0 A B C PHI THETA PSI]; +elli = [x0 y0 z0 A B C THETA PHI PSI]; \end_layout \end_inset @@ -16298,11 +16334,7 @@ nolink "false" \end_inset ). - Note that it -\series bold -does not -\series default -correspond to the inertia ellipsoid as defined from mechanical conventions. + \end_layout \begin_layout Standard @@ -16479,7 +16511,33 @@ drawEllipsoid \begin_layout Standard Draws a 3D ellipsoid. It is possible to specify color or transparency of the ellipsoid surface. - The three orthogonal reference 3D ellipses can also be displayed. + The three orthogonal reference 3D ellipses +\begin_inset Index gen +range none +pageformat default +status collapsed + +\begin_layout Plain Layout + +\family roman +\series medium +\shape up +\size normal +\emph off +\nospellcheck off +\bar no +\strikeout off +\xout off +\uuline off +\uwave off +\noun off +\color none +ellipse!3D +\end_layout + +\end_inset + + can also be displayed. See also the drawEllipse3d function (p. \begin_inset space ~ \end_inset @@ -16626,6 +16684,18 @@ drawEllipseCylinder \end_inset +\begin_inset Index gen +range none +pageformat default +status collapsed + +\begin_layout Plain Layout +ellipse +\end_layout + +\end_inset + + \end_layout \begin_layout Standard @@ -16637,20 +16707,6 @@ name "fun:drawEllipseCylinder" Draws a cylinder with an ellipse cross-section. -\begin_inset Note Note -status open - -\begin_layout Plain Layout -TODO: - Figure to display more sample surface (cylinder, - capsule, - dome, - torus...) -\end_layout - -\end_inset - - \end_layout \begin_layout Subsection @@ -16661,22 +16717,6 @@ Other smooth surfaces Other functions allow to create and draw more general surfaces. \end_layout -\begin_layout Standard -\begin_inset Note Note -status open - -\begin_layout Plain Layout -TODO: - Figure to display more sample surface (capsule, - dome, - torus...) -\end_layout - -\end_inset - - -\end_layout - \begin_layout Standard \begin_inset Float figure placement document @@ -16688,9 +16728,25 @@ status open \begin_layout Plain Layout \align center \begin_inset Graphics - filename images/demoRevolutionSurface_01.png + filename images/geom3d/torus.png lyxscale 50 - width 60text% + width 32text% + +\end_inset + + +\begin_inset Graphics + filename images/geom3d/capsule.png + lyxscale 50 + width 32text% + +\end_inset + + +\begin_inset Graphics + filename images/geom3d/dome.png + lyxscale 50 + width 32text% \end_inset @@ -16703,11 +16759,11 @@ status open \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label -name "fig:Revolution-Surface" +name "fig:Smooth-Shapes-3D" \end_inset -3D revolution surface +3D representation of shapes with smooth boundary. \end_layout \end_inset @@ -16721,31 +16777,43 @@ name "fig:Revolution-Surface" \end_layout \begin_layout Minisec -revolutionSurface +drawTorus \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout -revolutionSurface +drawTorus \end_layout \end_inset +\begin_inset Index gen +range none +pageformat default +status collapsed + +\begin_layout Plain Layout +torus +\end_layout + +\end_inset + + \end_layout \begin_layout Standard -Creates a surface of revolution from a planar curve. - See the Figure +Draws a torus (3D ring). + See Fig. \begin_inset space ~ \end_inset \begin_inset CommandInset ref LatexCommand ref -reference "fig:Revolution-Surface" +reference "fig:Smooth-Shapes-3D" plural "false" caps "false" noprefix "false" @@ -16757,26 +16825,51 @@ nolink "false" \end_layout \begin_layout Minisec -surfaceCurvature +drawCapsule \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout -surfaceCurvature +drawCapsule \end_layout \end_inset - -\begin_inset Index gen + +\end_layout + +\begin_layout Standard +Draws a 3D capsule, + composed of a cylinder and two domes at the extremities. + See Fig. +\begin_inset space ~ +\end_inset + + +\begin_inset CommandInset ref +LatexCommand ref +reference "fig:Smooth-Shapes-3D" +plural "false" +caps "false" +noprefix "false" +nolink "false" + +\end_inset + +. +\end_layout + +\begin_layout Minisec +drawDome +\begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout -curvature +drawDome \end_layout \end_inset @@ -16785,18 +16878,35 @@ curvature \end_layout \begin_layout Standard -Curvature on a surface from angle and principal curvatures. +Draws a 3D dome, + or half-sphere. + See Fig. +\begin_inset space ~ +\end_inset + + +\begin_inset CommandInset ref +LatexCommand ref +reference "fig:Smooth-Shapes-3D" +plural "false" +caps "false" +noprefix "false" +nolink "false" + +\end_inset + +. \end_layout \begin_layout Minisec -drawTorus +revolutionSurface \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout -drawTorus +revolutionSurface \end_layout \end_inset @@ -16808,7 +16918,7 @@ pageformat default status collapsed \begin_layout Plain Layout -torus +revolution surface \end_layout \end_inset @@ -16817,39 +16927,46 @@ torus \end_layout \begin_layout Standard -Draws a torus (3D ring). +Creates a surface of revolution from a planar curve. + See the Figure +\begin_inset space ~ +\end_inset + + +\begin_inset CommandInset ref +LatexCommand ref +reference "fig:Revolution-Surface" +plural "false" +caps "false" +noprefix "false" +nolink "false" + +\end_inset + +. \end_layout \begin_layout Minisec -drawCapsule +surfaceCurvature \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout -drawCapsule +surfaceCurvature \end_layout \end_inset - -\end_layout - -\begin_layout Standard -Draws a 3D capsule, - composed of a cylinder and two domes at the extremities. -\end_layout - -\begin_layout Minisec -drawDome -\begin_inset Index idx + +\begin_inset Index gen range none pageformat default status collapsed \begin_layout Plain Layout -drawDome +curvature \end_layout \end_inset @@ -16858,8 +16975,7 @@ drawDome \end_layout \begin_layout Standard -Draws a 3D dome, - or half-sphere. +Curvature on a surface from angle and principal curvatures. \end_layout \begin_layout Minisec @@ -16883,6 +16999,49 @@ Draws a 3D surface patch, with 2 parametrized surfaces. \end_layout +\begin_layout Standard +\begin_inset Float figure +placement document +alignment document +wide false +sideways false +status open + +\begin_layout Plain Layout +\align center +\begin_inset Graphics + filename images/demoRevolutionSurface_01.png + lyxscale 50 + width 60text% + +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset Caption Standard + +\begin_layout Plain Layout +\begin_inset CommandInset label +LatexCommand label +name "fig:Revolution-Surface" + +\end_inset + +3D revolution surface +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + \begin_layout Standard \begin_inset Newpage newpage \end_inset @@ -18044,35 +18203,32 @@ Several functions allow to display common geometric shapes. Polygonal shapes \end_layout -\begin_layout Standard -\begin_inset Index gen +\begin_layout Minisec +drawCube +\begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout -cube +drawCube \end_layout \end_inset - -\end_layout - -\begin_layout Minisec -drawCube -\begin_inset Index idx + +\begin_inset Index gen range none pageformat default status collapsed \begin_layout Plain Layout -drawCube +cube \end_layout \end_inset - + \end_layout \begin_layout Standard