Design a Ring with T-Splines

This tutorial will cover some basics of designing and modeling a ring with T-Splines and Rhino 4.

You can download this tutorial in PDF format here.

Organic Modeling for Jewelry Design with T-Splines and Rhino® 4

Designing a Ring

Juan Santocono

Industrial Design

Universidad de Buenos Aires, Argentine

Matt Sederberg

T-Splines, Inc.

© Copyright 2008 T-Splines, Inc.

Designing freeform objects can be difficult when working with traditional CAD software. T-Splines and Rhino 4 offer an easy way to create smooth, gap-free organic models for jewelry design.

The best way to read this tutorial about how to model a ring using T-Splines is by looking at the 3D model at the same time. You can follow the model’s progress by selecting the differ­ents layers in the file. The model can be downloaded at www.tsplines.com.

In this tutorial, anything in Blue is a Rhino command, while anything in Red is a T-Splines command. Type these commands in the command line of Rhino to run them.

STEP 1 – WIREFRAME

Ring Profile
First, draw the main profile of the ring using Curve. For me, the best way to get the right pro­file is by designing it undeveloped.

This particular design consists of two hearts connected by the body of the ring. The idea is to have a smooth transition between the body and the hearts, with no sharp edges.

STEP 2 – WIREFRAME

Control Polygon
Use ExtractControlPolygon to extract the control polygons of the curves.

In step 5, we will use this control poly­gon to generate a T-Splines surface with the same profile of the native curves.

STEP 3 – WIREFRAME

Inner Lines
Once we have the control polygon profile, we need to connect the points.Remember that the ideal thing is to have rectangular regions (keep that rule of thumb in mind when you draw the curves.)

Each line intersection will determine where the control points will be on the surface.

STEP 4 – WIREFRAME

Extrude Lines
Now we need to extrude these lines with tsScriptExtrudeControlPolygon (Thanks JB and T-Splines for this amazing tool!) in order to get a 3D control polygon.

Remember to delete all the internal lines after extruding. These inner lines are not necessary for the tsControlPolygonToSrf command (next step).

STEP5 – T-SPLINES SURFACE

Transform to T-Splines Surface
Before generating the T-Splines sur­face, we need to be sure that we only have the lines we need; for this, I usu­ally use: first, ungroup all, then split selected curves against each other (tsSplitCurves), select duplicate curves (SelDup) and Delete them.

Now the curves are ready to be trans­formed to a T-Splines surface.

Select all lines and enter the tsControl­PolygonToSrf command.

Check the preview option to ensure the surface is correct. Now we have a T-Splines surface.

STEP 6 – T-SPLINES MODIFICATION

Body Profile
To get the desired body profile, we need to make some changes by moving control points of the T-Spline surface using tsManip.

First, scale -X (in the negative “X” direction) the twelve selected points shown on the screen­shot. Scaling points is a way of moving them symmetrically.

Second, move these same points -Z in order to get a smoother curvature on the outside part of the ring body.

STEP 7 – T-SPLINES MODIFICATION

Face Extrude
For the ring design we need a flat face on the inner part of the ring body that will touch the finger.

One way to do it is by extruding faces. With tsExtrude, select the faces to be extruded, in this case all the ones that comprise the inner body. Do not select faces that touch a star point, this will result in the addition of control points that we don’t want right now.

The extrusion must be very small to get a small radius transition to a flat surface. In this case, 0.3 mm.

After we extrude these faces and exit the command, points associated with the extruded faces will remain selected. Scale these points to get the flat surface closer to the ends of the hearts in a smoother transition.

It’s important to pay a lot of attention to how the T-Splines surface react to these control points movements in order to understand it and use it on future projects.

STEP 8 – T-SPLINES MODIFICATION

Heart Modification
The idea of the design is that the two hearts are thinner on the interior tip and thicker on the body. To achieve this we just need to select the control points on the parts of the hearts shown and scale them -Z. (Scale the points of both hearts at once to ensure a symmetrical scaling).

Next, unselect the outermost loop of con­trol points and repeat the -Z scale. Do this with every loop of points (shown below).

Now we have the final shape of the un­folded ring.

STEP 9 – ADJUSTMENTS

Curvature Analysis
One way to know if our surface has the correct curvature and smoothness is with the CurvatureAnalysis tool.

For example, here I used the Gaussian Style to see clearly which surfaces have a negative (blue) and positive (red) radius.

I detected a surface area where the curva­ture changes from negative to positive in an unintended location, which breaks the smoothness.

I selected the control points that affect that area and scaled them (-X) to smooth the surface.

Notice that you can manipulate the surface while keeping the analysis on, this gives immediate feedback.

Once the curvature is fixed, the T-Splines surface is done

STEP 10 – SURFACE CONVERSION

Set Smoothness
Once we are satisfied with our design, we transform our T-Splines surface to NURBS surfaces. We need to do this because for the next steps we will use some Rhino tools that only work on NURBS, not T-Splines.

Before converting to NURBS, use the tsSetStarSmoothness command to smooth the surface at star points. I used a smoothing value of 5.

Transform
Next, use the tsConvertToRhinosurf command to turn the T-Spline into a NURBS surface.

STEP 11 – BODY INSCRIPTION

Preparing Surfaces
You can add some inscriptions on the ob­ject in many different ways (e.g. Boolean operations). In this case I prefer to do it by managing surfaces instead of “solids.” This way I have more control at each part of the procces, and also have less geometry to manage, which results in faster opera­tions.

First, Explode the NURBS surface and Hide all the surfaces except the one we need (see the screenshot).

Follow this process:

1-Create a solid TextObject.

2-Fillet the text.

3-Scale the text to fit it on the surface (tsManip).

4-Trim the letters’ surfaces and then Join them all together.

5-Fillet the text with the ring.

6-Ones we have all the letters filleted, Unhide and Join all the surfaces together to yield a closed polysurface, like we had before the inscriptions.

STEP 12 – FINAL TRANSFORMATION

Flow Along Surface
Finally, we need to deform the undeveloped ring surface to get a circular ring. For this, we will use the UDT Rhino tool FlowAlongSurface.

First, draw an arc that represents the side ring profile, extrude it using ExtrudeCrv (the distance will be the width of the ring) and finally unroll it (UnrollSrf) to get the base surface needed for the UDT operation.

Now that we have got all the sur­faces needed, just use the FlowAlong Surface tool using the unrolled sur­face as the Base surface and the arc extrude as the Target surface.

The result is a perfectly smooth, high detail 3D model of a ring ready to be manufactured.

Good luck in your modeling!

Any questions, write to my e-mail below.

Juan Santocono,

Industrial Design

jsantocono@fibertel.com.ar

A free trial of T-Splines for Rhino may be downloaded at www.tsplines.com.

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