I think the lena image is popular because It's is a part of Matlab from first version. Then there are just few datasets of images to test. There were many researcher used this lena image for their testing on image processing and image compression in that time. Many followers (researchers) used the lena image for image processing and image compression tests to compare their proposed algorithms to previous algorithms. So, the lena image get more popular. There is no special information structure in this image.
https://en.wikipedia.org/wiki/Lenna gives a bit of information about the properties of the "Lena" image.
In addition to the properties, I think it's the attractivity of the subject that made this image more popular than other images of this period (e.g. a child between toys or boat in a harbor).
I think the lena image is popular because It's is a part of Matlab from first version. Then there are just few datasets of images to test. There were many researcher used this lena image for their testing on image processing and image compression in that time. Many followers (researchers) used the lena image for image processing and image compression tests to compare their proposed algorithms to previous algorithms. So, the lena image get more popular. There is no special information structure in this image.
The popularity of Lena image due to its specific properties. All the intensity levels which are required for any image processing study and other specification as far as all the color models are concern are optimum in case of Lena image. The statistical distribution of the image is so excellent that force many researchers to go with Lena image.
Two reason was stated in "A Note on Lena" by David C. Munson in IEEE Transactions on Image Processing, Jan'96. First, the Lenna image contains a nice mixture of detail, flat regions, shading, and texture that do a good job of testing various image processing algorithms. It is a good test image! Second, the Lena image is a picture of an attractive woman. It is not surprising that the (mostly male) image processing research community gravitated toward an image that they found attractive.