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Inkscape tutorial: Interpolar

Ryan Lerch, ryanlerch arroba gmail punto com

Este documento explica como usar a extensión de interpolación de Inkscape

Introducción

Interpolate does a linear interpolation between two or more selected paths. It basically means that it “fills in the gaps” between the paths and transforms them according to the number of steps given.

To use the Interpolate extension, select the paths that you wish to transform, and choose Extensions > Generate From Path > Interpolate from the menu.

Before invoking the extension, the objects that you are going to transform need to be paths. This is done by selecting the object and using Path > Object to Path or Shift+Ctrl+C. If your objects are not paths, the extension will do nothing.

Interpolation between two identical paths

The simplest use of the Interpolate extension is to interpolate between two paths that are identical. When the extension is called, the result is that the space between the two paths is filled with duplicates of the original paths. The number of steps defines how many of these duplicates are placed.

Por exemplo vexamos estes dous camiños:

An example image

Now, select the two paths, and run the Interpolate extension with the settings shown in the following image.

An example image

As can be seen from the above result, the space between the two circle-shaped paths has been filled with 6 (the number of interpolation steps) other circle-shaped paths. Also note that the extension groups these shapes together.

Interpolación entre dous camiños diferentes

When interpolation is done on two different paths, the program interpolates the shape of the path from one into the other. The result is that you get a morphing sequence between the paths, with the regularity still defined by the Interpolation Steps value.

Por exemplo vexamos estes dous camiños:

An example image

Now, select the two paths, and run the Interpolate extension. The result should be like this:

An example image

As can be seen from the above result, the space between the circle-shaped path and the triangle-shaped path has been filled with 6 paths that progress in shape from one path to the other.

When using the Interpolate extension on two different paths, the position of the starting node of each path is important. To find the starting node of a path, select the path, then choose the Node Tool so that the nodes appear and press TAB. The first node that is selected is the starting node of that path.

See the image below, which is identical to the previous example, apart from the node points being displayed. The node that is green on each path is the starting node.

An example image

The previous example (shown again below) was done with these nodes being the starting node.

An example image

Now, notice the changes in the interpolation result when the triangle path is mirrored so the starting node is in a different position:

An example image An example image

Método de interpolación

One of the parameters of the Interpolate extension is the Interpolation Method. There are 2 interpolation methods implemented, and they differ in the way that they calculate the curves of the new shapes. The choices are either Interpolation Method 1 or 2.

Nos exemplos de arriba usouse o Método de interpolación 2 e o resultado foi:

An example image

Compare agora isto co Método de interpolación 1:

An example image

The differences in how these methods calculate the numbers is beyond the scope of this document, so simply try both, and use which ever one gives the result closest to what you intend.

Expoñente

The exponent parameter controls the spacing between steps of the interpolation. An exponent of 0 makes the spacing between the copies all even.

Here is the result of another basic example with an exponent of 0.

An example image

O mesmo exemplo cando o expoñente é 1:

An example image

cando o expoñente é 2:

An example image

e cando o expoñente é -1:

An example image

When dealing with exponents in the Interpolate extension, the order that you select the objects is important. In the examples above, the star-shaped path on the left was selected first, and the hexagon-shaped path on the right was selected second.

View the result when the path on the right was selected first. The exponent in this example was set to 1:

An example image

Duplicate Endpaths

This parameter defines whether the group of paths that is generated by the extension includes a copy of the original paths that interpolate was applied on.

Estilo de interpolación

This parameter is one of the neat functions of the interpolate extension. It tells the extension to attempt to change the style of the paths at each step. So if the start and end paths are different colors, the paths that are generated will incrementally change as well.

Aquí ten un exemplo de como se usa a función Estilo de interpolación no recheo dun camiño:

An example image

O estilo de interpolación tamén lle afecta ao trazo dun camiño:

An example image

Of course, the path of the start point and the end point does not have to be the same either:

An example image

Using Interpolate to fake irregular-shaped gradients

It is not possible in Inkscape (yet) to create a gradient other than linear (straight line) or radial (round). However, it can be faked using the Interpolate extension and Interpolate Style. A simple example follows — draw two lines of different strokes:

An example image

And interpolate between the two lines to create your gradient:

An example image

Conclusión

As demonstrated above, the Inkscape Interpolate extension is a powerful tool. This tutorial covers the basics of this extension, but experimentation is the key to exploring interpolation further.