what scale factor will produce a dilated image that is smaller than the original image?
A scale factor less than 1 will produce a dilated image that is smaller than the original image.
To produce a dilated image that is smaller than the original image, the scale factor must be between 0 and 1. Specifically, any scale factor less than 1 will result in a smaller image.
Here are the steps to calculate the scale factor:
1. Determine the desired size of the dilated image in relation to the original image. For example, if you want the dilated image to be half the size of the original, the desired size ratio would be 1/2.
2. Divide the desired size ratio by the corresponding size ratio between the dilated and original image. This will give you the scale factor.
For instance, let's say the desired size ratio is 1/2, and the size ratio between the dilated image and the original image is 3/4. The scale factor can be calculated as follows:
Scale Factor = (Desired Size Ratio) / (Size Ratio of Dilated to Original)
Scale Factor = (1/2) / (3/4)
Scale Factor = 2/3
Therefore, a scale factor of 2/3 will produce a dilated image that is smaller than the original image.