Question

Сканируйте цветное изображение размером 10×10 см разрешающая способность сканера 600dpi,глубина цвета 32 бита ,какой информационный обем будет иметь полученный графический файл

Answer 1

10см≈4дюйма
4*600=240
240*240=57 600
57600*32=1843200
1843200/8=230 400
230 400/1024=225Кб
Ответ:225Кб

Answer 2

Scanning a Color Image

To calculate the information volume of a color image, we need to consider the resolution and color depth of the scanner. In this case, we have a color image with a size of 10×10 cm, a scanner resolution of 600 dpi, and a color depth of 32 bits.

Resolution

The resolution of a scanner refers to the number of dots per inch (dpi) it can capture. In this case, the scanner has a resolution of 600 dpi. This means that for every inch, the scanner can capture 600 dots or pixels.

To calculate the total number of pixels in the scanned image, we multiply the resolution by the size of the image in inches. Since the image size is given in centimeters, we need to convert it to inches. There are approximately 2.54 centimeters in an inch.

Converting the image size to inches: - Width: 10 cm ÷ 2.54 cm/inch = 3.94 inches - Height: 10 cm ÷ 2.54 cm/inch = 3.94 inches

Calculating the total number of pixels: - Total pixels = Width (in inches) × Resolution (dpi) × Height (in inches) × Resolution (dpi) - Total pixels = 3.94 inches × 600 dpi × 3.94 inches × 600 dpi

Color Depth

The color depth of an image refers to the number of bits used to represent each pixel's color information. A higher color depth allows for more colors and finer color gradations. In this case, the color depth is 32 bits.

To calculate the information volume of the color image, we need to multiply the total number of pixels by the color depth.

Calculating the information volume: - Information volume = Total pixels × Color depth - Information volume = (3.94 inches × 600 dpi × 3.94 inches × 600 dpi) × 32 bits

Please note that the above calculation assumes that each pixel requires 32 bits to represent its color information. However, it's worth mentioning that the actual file size of the scanned image may be smaller due to compression techniques used in image file formats.

Therefore, the information volume of the resulting graphic file will be the product of the total number of pixels and the color depth, which is approximately equal to (3.94 inches × 600 dpi × 3.94 inches × 600 dpi) × 32 bits.