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Transition Surfaces
Transition Surfaces
Constructing a Transition Surface at the Rear of the Model
Constructing Simple Transitions
The next step is to model
a transition surface that will connect the front surface with the
side surface. To begin, determine where the transition surface starts
on the side surface by using the fitted Z-curves. In the image below,
the spheres at the endpoints of the curve show where the transition
has to be placed on the side surface.
To construct the transition
surface at the front
- Open the wire file Transition Surfaces.wire.
- Select the surfaces from the “work” layer
and choose View > Look At tool.
Use the surfaces in the “work” layer. Keep the
layer highlighted in yellow so that all new geometry will be assigned
to the layer.
- Use the Viewing Panel to
switch to the side view.
NoteThe ViewCube viewing control displays
by default, but you will use the View Panel in these tutorials.
If you have not done so already, switch view controls, by selecting
Preferences > General Preferences ❒, clicking
Viewing, and
then selecting
View Panel. For information
on the ViewCube, see
Use the ViewCube tool and NavBar.
- Create a degree 1 edit point curve that
follows an isoperimetric curve of the fillet.
In the image below, use the right-most ball
as a guide to where the curve has to be positioned. Eventually,
the curve will have to be moved slightly in the X-direction.
NoteAn isoparametric
curve is used in this procedure to maintain the natural character
of the fillet.
- Select the bottom CV of the curve and
slide it down to reach the bottom level of the front surface.
- Create a degree 1 edit point curve following
the bottom edge of the front surface. The curve is parallel to the
X-direction.
- Make sure the curve is long enough to
cross the curve created in Step 2.
- Cut the curve as shown in the image below.
- Press + (Windows) or + (Mac) to produce the Viewing
Panel. Ensure that the Perspective view has not been
activated. Click on the side arrow to make sure you are in the side view.
- Project both curves onto the side surface
and onto the fillet surfaces.
The model should now
have a new curve-on-surface that resembles the image below.
The next step is to define
the curves of the transition surfaces by using blend curves.
To create the transition
surfaces
- Double-click the Curve Edit > Create > Duplicate Curve tool to produce the option box.
- Set the Duplicate Type to NO REBUILD.
- Pick the curve-on-surface of the side
surface.
- Delete the curve-on-surface of the side
surface.
- Create a blend curve between the duplicated
curve and the front surface.
- Select the blend point that is connected
to the curve and change the Continuity to G2.
- Trim the fillet. Keep the surface similar
to the dark gray area in the image below.
In a previous
section, you fitted curves to Z-scan lines. The curves created in
that section served as guides for establishing the correct Patch
Layout. The curves created in this section are designed to serve
as the framework of the surfaces. To ensure that the curves created
in this section are correct, check the curvature combs of the curves.
To create and modify a
curvature comb
- Select the two curves.
- Calculate a curvature comb over both
curves using the Locators > Curve Curvature tool.
- Use the to adjust the density of
the curvature comb.
TipBy moving the right mouse button, you can
adjust the size of the curvature comb.
NoteIf the resulting
curvature comb resembles the image above, the comb may have an imbalance
caused by the abrupt change between the curvature of the blend curve
and the duplicated curve. To correct the curvature comb, manipulate the
blend point.
To correct the curvature
comb
- Select the blend point and move it by
curve snapping (press + (Windows) or + (Mac)) along the duplicated
curve.
- Watch the curvature comb.
NoteModifying the curvature
comb may change the impression you achieved by fitting the Z-scans
(the size of the transition surface). However, the side surface
has more value when judged as a Z-curve, and as a result, the new
modifications should be kept.
To continue with the modeling
process, prepare the model for the next required transitional curve.
The fillet surface was
created using the CURVES ON SURFACE setting found
in the Trim Type option of the Surfaces > Surface Fillet tool. To
avoid confusion when creating the next transitional blend curve,
hide the curve-on-surface using the Object Edit > Query Edit tool. The Object Edit > Query Edit tool reproduces the option
box, or control box, of the tool you used to create the selected
surface. In this case, it is the Surface Fillet Control box. In
the control box, change the Trim Type to OFF.
Because you slid the
blend point along the curve associated with the side surface, the
trim curve of the fillet surface will also have to be moved.
To snap a curve to a pre-defined
point
- Switch to the side view.
- Make visible the curve previously used
to trim the fillet surface.
- Set the pivot point at the lower end
of the curve.
- Move the curve to the new position of
the blend point, marked in the image below with a large sphere.
- To find the exact position use the Magnetic
Snap (press (Windows) or (Mac) and click close to
the blend point).
This
will change the curve-on-surface on the side surface as well as
the curve-on-surface of the fillet surface. The next step will be
to create the other transitional curve that will become the foundation
for the transitional surface between the side surface and the front
surface.
But before creating the
transitional curve, hide the curve-on-surface on the side surface
by using the Object Edit > Query Edit tool.
To use Query Edit to hide
the curve-on-surface
- Choose the Object Edit > Query Edit tool.
- Pick the edge of the fillet surface.
The option box will appear.
- Set the Trim Type to OFF.
- If the recalculate option is turned off,
press Recalc at the bottom of the
options box.
To add a square surface
- Create a blend curve between the fillet
surface and the front surface. Because you hid the curve-on-surface,
the fillet surface can be selected without clutter.
- Set the options of the square surface
as shown in the options displayed in the image below.
- Turn on the CVs.
TipThe resulting transitional
surface might not fit to the scan lines. Adjust the transitional
surface by modifying the shape of the blend curve.
To begin the modification
of the transitional surface, note that the bottom blend curve is
connected to a point inside of the curve on the side surface. For
direct modeling purposes, the current blend curve arrangement is
not favorable for modification. To enable alignment using the Object Edit > Align > Align 2008 tool, cut the reference
curve at the point where the blend curve intersects the reference
curve.
To cut the curve on the
side surface and align the transitional curves to the references
- Use the Viewing Panel to
switch to the side view.
- Make the newly created transition surface
invisible.
- Open the option box of the Curve Edit > Curve Section tool.
- Set the options as follows.
Set this parameter... |
To this value |
Sectioning Mode |
Trim |
Sectioning Criterion |
Geometry |
- Press the Go button
at the bottom of the option box.
- Select the curve at the point highlighted
in the image above.
- Press the Go button
at the bottom of the screen.
- Select the other curve involved in the
process.
The
next step is to align all of the curves to their references by curvature.
As a result, all of the former blend curves will gain an additional
kind of history that allows CVs to be modeled directly.
- Double-click the Object Edit > Align > Align 2008 tool to produce the option box.
- Select each end of the two blend curves
and align them to the reference.
- After the curves are aligned, choose ObjectDisplay > Visible to view the transition surface.
To avoid confusion when
selecting curve CVs
- Open the ObjectDisplay > Control option box.
- Select the transition surface.
- Set the options as follows.
Set this parameter... |
To this value |
Scope |
ACTIVE |
Key Points |
off |
Hulls |
on |
Edit Points |
off |
Blend Points |
off |
Poly Normals |
off |
Surface Iso |
off |
- Press the Go button.
Although
the CVs of the selected surface are hidden, the hulls that act as
guides for the CV distribution are still visible. The CVs of the
curves are also visible and can be selected without having to navigate
a selection window.
To change the fit of the
transitional surface by modifying CVs
- Choose Pick > Nothing .
- Select the transition surface.
- Turn on the X, Y, and Z Cross–Sections.
- Modify the CVs of the curves using the Control
Panel > Evaluate > Move CV tool set to SLIDE.
- Watch the sections on the surface.
The
resulting surface may be flawed if a smooth fit could not be obtained
between the transition surface and the scan lines. One factor that
could determine the success or failure of the transition is the
smoothness of the distribution of the CVs across the transition
surface.
If an acceptable result
cannot be achieved, increase the degree of your curves to 6.
To increase the degree
value
- Select the first curve.
- In the Control Panel, increase the degree
value from 5 to 6.
- Press the Accept button
at the bottom of the screen.
- Choose Pick > Nothing .
- Select the other curve.
- Increase the Degree value to 6.
To continue, adjust the degree of the
transition surface. (Remember, by using the Object Edit > Query Edit tool, you can reproduce
the option box of a surface that has a construction history).
To adjust the transition
surface
- Choose the Object Edit > Query Edit tool.
- Pick one edge of the transition surface.
The Square Control box appears. If it does not, try repicking the
edge.
- Change the value of the degree from 5 to 6.
- Choose Pick > Nothing .
At this point,
for each curve you should have one independent (free) CV that is
not related to a curvature alignment. The new curves offer more
freedom in fitting the transition surface to the scan lines. Within
the confines of this tutorial, do not exceed a degree 6 curve.
One free CV should be sufficient to maintain a good fit between
the transitional surface and the scan lines.
If all CV modifications
have been implemented and the results are not satisfactory, change
the front surface in the same manner used to create the transitions
between the front/rear surface and the top surface.
Successful modifications
of the model should produce results that resemble the image below.
For the next step, try
to construct the transition surface at the rear of the model by
using the same methods already employed. Reference the images below
for tips.