Creating a Simple Composite

To begin creating a composite, you first need to load a photo into Photoshop. Follow these steps to import an image into a Photoshop document:

1. Choose File⇒Open.

The Open dialog box opens.

2. Select the image you want to use and click Open.

The image now appears in a new Photoshop document.

3. With the image selected, choose Image⇒Image Size.

The Image Size dialog box opens. You can resize the image to make it fit the size you need. Figure 9-1 shows the Image Size dialog box.

4. Click the Resample Image button and choose Crop.

The thumbnail you see in Figure 9-1 changes to the crop icon with an area around the thumbnail for you to crop the image.

5. Click the image.

Photoshop resizes the image to match the size you select.

6. Use the box shown in Figure 9-2 to resize the image and crop around it.

The crop box handles resize the image just as it does the thumbnail.

7. Click OK.

The image is now in the needed size for the canvas.

8. Save the file as an.eps file.

Photoshop saves files as EPS files. You can convert EPS files back to other formats, including JPEG, PNG, and TIFF if you need to modify them again. Figure 9-3 shows the Save As dialog box.

Photoshop Elements offers a variety of other ways to open and save documents — including.JPG,.GIF, and.PDF — but because you can’t publish.EPS files, they’re worth discussing here.

The Photoshop Elements save options are found in the File menu: Export (Save As). You can save as a number of formats including JPEG, TIFF, PDF, and GIF. If you want to modify a file in Photoshop, you can save it as EPS,.PSD, or JPEG.

**Figure 9-1:** Choose image size in the Image Size dialog box.

**Figure 9-2:** Use the crop box to resize the image

The following is a list of Photoshop Elements Guides that will help you to navigate the software and increase your efficiency, whether you are a beginner or an advanced user.

NOTE: Since this page is updated regularly, it is not possible to cover all of the Photoshop Elements guides at once. Whenever a new guide is published, it will be added at the bottom of the page.

1. Open an Image in Photoshop Elements

2. Using the Channels panel

4. Using the Pencil panel

5. Using the Layers panel

6. Working with Quick Selection tool

7. The History panel

8. Remove Unwanted Artifacts

9. Editing images using the brush

10. Keyboard shortcuts

11. Reset the default settings

12. Saving and printing your images

Open an Image in Photoshop Elements

Image editing is easier with Photoshop Elements. To open the image in the software, you’ll need to click the “Open” button on the Files panel.

Once the image is displayed, you can see the “Open as” menu options. We recommend selecting “File Open” or “Image Open.”

The preview window will be displayed with the image you opened. You can zoom in to fit the preview on your screen. If you open an image that is larger than the screen, a scroll bar will appear at the right side of the window.

Using the Channels panel

You can use the Channels panel to retouch images. You can use the channels as a guide for the colors and tones of the image.

Steps to use the channels:

1. Click on the “Window” button in the upper left corner of the Photoshop Elements window. The window is split into two columns: the top one contains the image, while the bottom one has the Channels panel.

2. The Channels panel is a useful tool for image editing. You can use it to change the colors of the image, adjust the contrast, and bring down the highlights and shadows.

4. Mouse down over the image and then drag the color swatches up and down. Click the color you want to use.

5. Click “OK” to apply changes to the image. You will see the edited preview.

6. If you are satisfied
05a79cecff

Q:

Newton’s method for finding an expansion point when not a power series

My problem is to use Newton’s method with a polynomial of the form
$x^n + ax^{n-1} + \ldots + ax + b$ with given real $a$ and non-negative real $b$.
Since Newton’s method typically assumes a power series expansion of the solution, it seems like the best way to approach this is to write $x = \frac{1}{n} + \frac{a}{n^2} + \frac{a^2}{n^3} + \ldots$, and use Newton’s method to find the exact solution.
However, since $a$ and $b$ are given, can we use the polynomial given to find all of the coefficients of this series? Or are there any tricks/observations to know that prevent this strategy from working?
I am having a hard time searching Google for any other discussion of this sort of problem.

A:

In the original Newton’s method, the idea was to use polynomials with known coefficients, so the example in your post is not the best example of Newton’s method. But one way to calculate the coefficients of polynomials by hand is to use Lagrange’s formula. With $p(x) = x^n + a_1x^{n-1} + \ldots + a_{n-1}x + a_n$, the following holds: $$p'(x) = nx^{n-1} + a_1x^{n-2} + \ldots + a_{n-1} = np(x) – a_1x^{n-2} – \ldots – a_{n-1}x$$
If we set $f(x) = np(x) – a_1x^{n-2} – \ldots – a_{n-1}x$ we have that $x= \frac{1}{n} + \frac{1}{n}f(x)$, and $x$ is the root of $x = \frac{1}{n} + \frac{1}{n} f(x)$ if and only if $f(x) = 0$ (if and only if you have \$nx^{n-1} + a_1x^{n

## What’s New In?

Brushes have a life span from which to work:

While using a brush, you can temporarily change the size of the brush (by using the Brush Size, Feather, and Size options):

To undo the effect of a brush: Right-click (or Ctrl-click on Windows) and select Undo:

You can also see what effect any selected brush is going to have:

To force a brush to be temporarily disabled: Right-click (or Ctrl-click on Windows) and select Disable:

Some of the most popular brushes are:

Aviation (for creating planes, ships, and parachutes)

Blur (for lightening and darkening an image)

Brush Type: Grid:

The Brush Type option allows you to change the shape of the brush to one of several shapes.

Stylized Sketch Brushes:

The Stylized Sketch brushes create the look of a large, decorative, and stylized pen.

Workflow Brushes:

These are useful when you want to process images quickly. They can be applied to an image, include the image as a layer in a document, and also allow you to create an automatic action for easy retouching and manipulation:

Stroke brushes:

Strokes are created by applying a brush stroke over a path, a specific figure, or a mask.

Texture brushes:

These add texture to an image, creating a realistic-looking photograph with the look of a painting.

Pixel Brushes:

Pixel brushes can be used to paint with precise lines by choosing a specific Pixel setting.

Pattern:

The Pattern brushes create patterns similar to those created with spray paint.

Brush Size:

Controls the size of the brush.

Feather:

Controls the feathering of the brush by defining how far the brush should spread when it’s moved over an image.

Size:

Changes the brush size, which in turn changes the size of the stroke.

Opacity:

Controls the transparency of the selected brush.

Opacity Rate:

Controls the rate at which the brush becomes transparent.

Controls the amount of opacity that is added to the original image when the brush is used.

Opacity Subtract:

Controls the amount