In this artwork, how is the Analysis discussed?
The image of the back-facing woman occupied by her toilet is an intimate everyday scene. The private atmosphere of the image is emphasised by the muted colors, as well as the effective way in which Eckersberg manages to both reveal and cover the woman's intimacy using the mirror edge and the cloth wrapped around her hips. One senses that the woman feels that she is alone and may see the viewer through the keyhole in the door behind her.The model's position goes back to ancient Greek ideals, as seen in the sculpture Venus de Milo .
The painting has also been called the "Hirschsprung Venus",
and in Marianne Saabye's words shows "[classic] calm and grace". Venus de Milo  was found in 1820,
and the Academy had acquired a casting in the late 1820s.The absence of eye contact with the viewer in A Nude Woman Doing Her Hair Before a Mirror is seen in several of Eckersberg's other nude paintings.
This applies to Female model study: Florentine (1840), Naked Woman in the Process of Pulling On Her Slippers (1843), A Young Girl Undressing (1844), and the Academy of Fine Arts' five nude paintings from 1837.
In the study of Florentine from 1840, she is seen uncovered from the front and the absent eye contact has been interpreted as "a pronounced discretion" on Eckersberg's part towards the female model.
Another common feature of Eckersberg's model studies from the 1830s and 1840s is the incidence of light from the left side of the image, regardless of how the model is posed.
Neela Struck has noticed geometric patterns in the picture. In addition to the upright rectangular format, there is the oval shape of the mirror and the triangle that is formed by the left arm and its shadow on the body, as well as the triangle by the bent right hand.
She believes that "nowhere is it clearer than in this picture how Eckersberg connected his interest in the laws of the picture, in mathematics and geometry, with his interest in the study of the naked female body."Eckersberg's picture is not the only popular Danish painting of a woman with her back turned.
Later painters also used the motif.
Perhaps best known is Vilhelm Hammershøi's pictures of his wife Ida Hammershøi.
Here, the painter, like Eckersberg, shows the woman in the process of everyday chores; however, the woman is only a small part of the interior painting and she is fully clothed.
Examples are  Interior with Young Woman Seen from the Back  (c. 1903–04) and Living Room in Strandgade with Sunshine on the Floor.
For Interior with Young Woman Seen from the Back the woman stands close to the wall, her head is turned and her hair is done up so that the neck is visible and parts of the wall panel are visible.
Anna Ancher's Girl in the Kitchen (c. 1886) and Interior also have the back-turned woman as a motif.
Finally, there is Poul Ekelund's painting Standing figure: Woman seen from the back 1/2 figure (1974) showing strong inspiration from Eckersberg's painting. Ekelund's painting is part of the National Gallery of Denmark's collection.
Marianne Saabye Anna Ancher nude National Gallery National Gallery of Denmark Poul Ekelund Greek  left  casting Vilhelm Hammershøi discretion Interior with Young Woman Seen from the Back left Venus de Milo