What does this image of cherry blossoms have in common with the carved relief on the left?

The carving, and the image, both have a finite resource called depth. In the case of the sculpture, the depth is the physical depth of cut of about a centimeter. For the image, the limit is the bit depth of the pixel data value: 24 bits, or 8 bits per channel of red, green, and blue.
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Specifically, if we want to imitate the art of the sculptor, we should be very careful how we allocate the color gamut of an image to best represent the subject of an image. This means suppressing the insignificant parts of the image to achieve our goal of pleasing the eye. If in making the cherry blossoms of Example 2 stand out better, we knock the leaves down to a lower saturation, so be it.
In an analogous way, a skilled color corrector can analyze how much of a particular color range is being used by the subject of an image, and carefully allocate more color range to that part of the image, stealing it from the leaves in the background, for example, and giving it to the flower itself - the part the eye "cares" about.
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By analogy, it is wise to apply a similar strategy when allocating the bit "depth" available to us in a photograph.