EP1297520A2

EP1297520A2 - Method for representing and image on a stepped surface and staircase

Info

Publication number: EP1297520A2
Application number: EP02712771A
Authority: EP
Inventors: Josef Hinterkeuser
Original assignee: Individual
Current assignee: HINTERKEUSER, JOSEF
Priority date: 2001-02-12
Filing date: 2002-02-12
Publication date: 2003-04-02
Anticipated expiration: 2022-02-12
Also published as: JP4261909B2; EP1297520B1; WO2002065438A2; ATE280988T1; DE10290544D2; WO2002065438A3; AU2002244622A1; JP2004523043A; US7155849B2; US20040134107A1; ES2231674T3; DE50201395D1; DE10106658C2; DE10106658A1

Abstract

To represent an image on a stepped surface, an eyepoint on the axis of sight in front of partial surfaces of the stepped surface is selected. The image is divided into partial images that are assigned to the partial surfaces. Each partial image is projected from the eyepoint onto the partial surface to which it has been assigned. Alternatively, the image is divided into partial images that are assigned to the partial surfaces so that the first partial image, which is assigned to the first partial surface closest to the eyepoint, is modified by a specified factor. Each additional partial image is enlarged relative to the first partial image based on the distance from the eyepoint of the partial surface to which it is assigned and is then represented on its respective partial surface.

Description

METHOD FOR IMAGING AN IMAGE ON A STAIRLESS SURFACE AND STAIR

The invention relates to a method for imaging an image on a staircase-like surface with at least two partial surfaces which run transversely to a visual axis and are offset relative to one another along the visual axis, and to a staircase on which an image is depicted.

Such a method and such a staircase are known, for example, from department stores and sports stadiums. In the case of these known stairs, a picture is put up on each seating surface, which in a department store can be a lettering with the name of the department store or a reference such as “To the children's department” and in a sports stadium the specification of the row of seats in a grandstand the partial surfaces of the set surfaces of the stairs and the line of sight runs essentially horizontally through the eyes of a person standing in front of the stairs leading upwards.

A disadvantage of these known methods and stairs is that the maximum size of the image is defined by the size and shape of a single seating area, so that the height of the image is limited to the step height of the stairs, which is usually approximately 18 cm.

It is therefore an object of the invention to provide a method of the type mentioned at the beginning and a staircase of the type mentioned at the beginning which enable larger images.

In the method according to a first variant, this object is achieved by the steps that: an eye point is selected which lies on the visual axis in front of the partial surfaces; the image is divided into partial images that are assigned to the partial areas by projecting it onto the partial areas starting from the eye point; and each drawing image is mapped onto its assigned area.

In the method according to a second variant, this object is achieved by the steps that: an eye point is selected which lies on the visual axis in front of the partial surfaces; the image is subdivided into partial images which are assigned to the partial areas in such a way that the first partial image which is assigned to the first partial area closest to the eye point is changed according to a predetermined scale, and that each further partial image is relative to the first Partial image is enlarged in accordance with the distance of its partial area assigned to it from the eye point; and each drawing image is mapped onto its assigned area.

These two variants are based on the following considerations, which are explained using the example of a staircase whose setting surfaces are used for the illustration, although they also apply to other stair-like surfaces.

In contrast to the known method, in which the image is depicted on only one set area of the staircase and can therefore have at most the height of this set area, the set areas are available for the illustration in these two variants, which together form a total area, the height of which corresponds to the sum of the individual set area heights. The image can therefore be displayed on a larger scale relative to the known method.

In both variants, the perspective distortion, more precisely reduction, which is noticeable to the eye of a viewer, is compensated for. When looking at the set surfaces from the eye point, the result is that the set surfaces are offset relative to one another along the line of sight and are therefore at different distances from the eye point. For example, the seating area of the lowest, first step is closer to the eye point than the seating area of the second step by the step depth, which is usually about 27 cm, which in turn is closer to the eye point than the seating area of the third step by the step depth Level, etc.

The eye point is the starting point for the image of the image on the stair-like surface or on the partial surfaces, and thus defines the position from which a viewer perceives the image with the least perspective distortions. It is chosen according to the respective circumstances, and can, if the partial areas are the setting areas of a staircase in a department store, for example at eye level of an average customer, ie at about 1.70 m high, and in a horizontal one Distance to the seating area at this height of about 3 m.

In the first variant, the image is subdivided into the partial areas with the aid of a central projection. In the second variant, the image is subdivided into the partial areas with the aid of enlargement scales, which result from the geometric relationships of the individual case, in particular the different distances of the partial areas from the eye point.

In the second variant it can be provided that the magnification scale of a partial image relative to the first partial image is equal to the quotient from the distance of its assigned partial area from the eye point and the distance of the first partial area from the eye point.

In both variants it can be provided that the surface is formed by the surface of a staircase. In this case it can be provided that the staircase is an escalator, or that the staircase lies in a grandstand of a sports stadium or an event hall.

In this case, it can also be provided that the partial surfaces are formed by the setting surfaces of the steps, or that the partial surfaces are formed by the tread surfaces of the steps.

Furthermore, it can be provided that the eye point is defined by the position of a camera.

The partial images are preferably generated by subdividing the image with the aid of a computing device.

The above-mentioned object is achieved in the staircase according to a first variant in that: the image is subdivided into partial images which are assigned to the setting surfaces and are depicted on the setting surfaces assigned to them; and each partial image is enlarged relative to the lowermost partial image in accordance with the horizontal distance of its associated setting surface from the lowest setting surface.

According to a second variant, this task is solved in the case of the stairs in that: the image is subdivided into partial images which are assigned to the step surfaces and are depicted on the step surfaces assigned to them; and each partial image is enlarged relative to the uppermost partial image in accordance with the vertical distance of its tread surface assigned to it from the uppermost tread surface.

These two variants are based on the same considerations which have already been explained in connection with the two method variants. The first variant concerns the use of the seating area of a staircase. This can be in the field of view of a viewer who, for example, is climbing the stairs, or a television camera, which is attached to the ceiling of an event hall, for example.

The second variant concerns the use of the steps of a staircase. This can be in the field of view of a viewer who is, for example, climbing the stairs, or a television camera, which is attached, for example, to a grandstand in a sports stadium and is directed towards the opposite grandstand.

In the first variant, it can be provided that the magnification scale of a partial image is equal to the quotient of the sum of the horizontal distance of its associated setting area from the lowest setting area and the horizontal distance of the lowest setting area from a predetermined eye point lying in front of the stairs and the horizontal distance the lowest setting area from the eye point.

In the second variant, it can be provided that the magnification scale of a partial image is equal to the quotient of the sum of the vertical distance of its associated step surface from the top step surface and the vertical distance of the top step surface from a predetermined eye point lying above the stairs and the vertical distance the top step from the eye point.

In both variants, it can be provided that the staircase is an escalator, or that the staircase lies in a grandstand of a sports stadium or an event hall.

It can also be provided that the eye point is defined by the position of a camera.

The invention above all enables the use of stairs for the illustration of large-format advertising motifs. In both variants of the method, it can also be provided that the step-like surface has at least one rear partial surface, which from the point of view of the eye is offset behind a front partial surface in such a way that a region of the rear partial surface is covered by the front partial surface, and that this covered region of the rear partial area is not used for imaging the partial image assigned to the rear partial area. As a result, only the area of the posterior seating area seen from the eye point is used for the image.

In this case it can be provided that: the surface is formed by the surface of a staircase; the line of sight is horizontal; the partial surfaces are formed by setting surfaces of the steps, of which at least one setting surface from the point of view of the eye lies behind that setting surface which the visual axis meets and thus has at its lower edge a strip-shaped region which is covered by the next front setting surface; and the height Fj of the hidden area, measured from the lower edge of the rear seating area, is determined by the following formula: where: i is the index for the steps and i = l for the first, lowest step, t is the depth of the steps of the stairs, Gj_ι is the vertical distance between the upper edge of the next front seating area and the visual axis, and Wμi the horizontal Distance between the upper edge of the next front seating surface and the eye point.

In this case it can further be provided that: the vertical distance Gj_! is determined by the following formula: where: h is the height of the seating surface of the stairs, and

H is the vertical distance between the line of sight and the lower landing; and the horizontal distance Wj.j is determined by the following formula: where: X _{A is} the horizontal distance between the top of the first stage seating surface and the eye point.

In the case of both staircase variants, it can also be provided that the staircase has at least one rear partial surface which, from the point of view of the eye, is offset behind a front partial surface in such a way that a region of the rear partial surface is covered by the front partial surface, and that this covered region of the rear Partial area is not used for mapping the partial image assigned to the rear partial area.

In this case it can be provided in the first variant of the stairs that: the visual axis runs horizontally; at least one of the seating areas from the point of view of the eye lies behind that seating area which the visual axis meets and thus has at its lower edge a strip-shaped area which is covered by the next front seating area; and the height F _{j of} the hidden area, measured from the lower edge of the rear seating area, is determined by the following formula: where: i is the index for the steps and i = l for the first, lowest step, t is the depth of the steps of the stairs, Gj_ι the vertical distance between the upper edge of the is the next front seating surface and the visual axis, and Wj_ι is the horizontal distance between the upper edge of the next front seating surface and the eye point.

In this case it can further be provided that: - the vertical distance Gμi is determined by the following formula: where: h is the height of the seating surface of the stairs, and

H is the vertical distance between the line of sight and the lower landing; and - the horizontal distance \ N \ -i is determined by the following formula: where: X _{A is} the horizontal distance between the top of the first stage seating surface and the eye point.

Further features and designs of the invention are described in the subclaims.

Preferred exemplary embodiments are described in more detail below with reference to the accompanying drawings.

FIG. 1 shows an image in the original state which is to be imaged on the steps of a staircase;

FIG. 2 is a side view of a staircase on the steps of which the image of FIG. 1 is shown;

FIG. 3 shows the partial images which are arranged one above the other in a plane;

FIG. 4 is a central perspective front view of the stairs of FIG. 2, as it appears to an eye in the eye point; and FIG. Fig. 5 is a side view of a staircase, on the steps of which an image is imaged according to another method.

In FIG. 1 is an image 10, which here is simply a square with its two diagonals, in its original state, which is to be mapped onto the setting surfaces 11 of three adjacent steps 12, 13, 14 of a conventional staircase.

In FIG. 2 shows this staircase, from which it is assumed below that the step height h = 18 cm and the step depth t = 27 cm. The three stages 12-14 comprise the ninth, tenth and eleventh stages of the staircase, each counted from the lower landing 15, so that the center of the seating area 11.10 of the tenth stage 13, that of the center of the through the three corresponding seating surfaces 11.9 , 11.10, 11.11 corresponds to the total area formed, at a height of H = 1.71 m (= 10x0.18 m - 0.5x0.18 m) above the lower landing 15. The horizontal distance of this tenth seating area 11.10 from the lower landing 15, ie from the seating area 11.1 of the first, lowest step 16, is accordingly X ^ _Q = 2.43 m (= 9x0.27 m).

The choice of the three levels 12-14 was made here with regard to the above-mentioned height H, since at this height H there are often the eyes 17 of many people 18 who are standing on the lower landing 15 and are just about to climb the stairs. For the eye point AP, which is required for the subdivision of the image 10 (indicated by a thick dotted line in FIG. 2) into the three partial images 10.1, 10.2, 10.3 (indicated by thin dotted lines in FIG. 2) in the following, this height H is chosen as the z coordinate. For the selection of the x coordinate of the eye point AP, the one shown in FIG. 2 shown viewer 18 is used, who stands on the lower landing 15 shortly before the first step 16, so that the horizontal distance X _{A of} his eyes 17 from the first seating surface 11.1 is approximately 15 cm. The sum of this horizontal distance X _A and the previously calculated The horizontal distance XI _{Q of} the tenth setting surface 11.10 from the first setting surface 11.1 is 2.58 m (= 0.15 m + 2.43 m), and this sum is chosen below as the x coordinate for the eye point AP.

At this point, it is pointed out that the previously selected eye point AP is only to be regarded as an example and can be changed as required.

According to a first embodiment of a method for imaging the image 10 on the three setting surfaces 11.9-11.11, the image 10, as shown in FIG. 2 can be seen, arranged at right angles to the visual axis A, which here corresponds to the horizontal connecting line between the eye point AP and the center M of the tenth setting surface 11.10, in such a way that the visual rays S _und t _en emanating from the eye point AP point to the lower one

Meet the edge of the ninth setting surface 11.9, cut the lower edge of the image 10 and that the visual rays S ₀ b _s which meet the upper edge of the eleventh setting surface 11.11 cut the upper edge of the image 10. This arrangement makes the best use of the total area made available for the illustration by the three setting areas 11.9-11.11, as will become clear from the further explanations.

Now the individual image points can be projected onto the stair-like total area starting from the eye point AP, whereby the image 10 is divided into three partial images 10.1, 10.2, 10.3: the first partial image 10.1 is created by those visual rays that both the image 10 and the ninth setting surface 11.9 cut, the second partial image 10.2 is created by those lines of sight that intersect both the image 10 and the tenth setting surface 11.10, and the third partial image 10.3 results from those lines of sight that intersect both the image 10 and the eleventh setting surface 11.11. In FIG. 3 (which is not true to scale to FIG. 2), these three partial images 10.1-10.3 are arranged one above the other for better comparison, so that they match well with the one shown in FIG. 1 shown image 10 can be compared in the original state. As can be clearly seen, all three partial images 10.1-10.3 have the same height, which is determined by the height h of the three setting surfaces 11.9-11.11, but have different widths. This is due to the different horizontal distances of the three setting surfaces from the eye point AP (hereinafter also referred to as “eye point distances”), so that in the previously described projection the beam set applies, after which the magnification scale with which the image 10 is projected onto a setting surface 11 is equal to the quotient from the eye point distance of this set area 11 and the eye point distance X _{Q of} the image 10. It follows that the relative scale of a partial image to the first, ie the partial image 10.1 projected onto the ninth set area, is equal to the quotient from the eye point distance of this partial image and the eye point distance of the first partial image 10.1. With the previously assumed values, the scale of the second partial image 10.2 is therefore a factor of 1.12 (= 2.58 / 2.31 = [0.15 m + 9x0.27 m ] / [0.15 m + 8x0.27 m]) larger than that of the first field 10.1 and the scale of the third field 10.3 by a factor of 1.23 (= 2.85 / 2.31 = [0.15 m + 10x0.27 m] / [0.15 m + 8x0.27 m]) larger than that of the first sub-picture 10.1.

This enlargement, which increases with the distance between the eye points, compensates for the reduction in perspective which results for the eye 17 of the viewer 18 when looking at the stairs with the partial images 10.1-10.3. This is good in FIG. 4 in which the three steps 12-14 of the stairs are shown in a central perspective front view starting from the eye point AP. Although the three seating areas 11.9-11.11 seem to be getting narrower upwards, the image 10 appears to be undistorted for the viewer 18. According to a second embodiment of a method for mapping the image 10 onto the three setting surfaces 11.9-11.11, the formulas explained above are used to generate the individual partial images 10.1-10.3 by calculation.

In contrast to that shown in FIG. 2 to 4 shown stairs, the image 10 is not to be displayed on the seating surfaces 11, but on the tread surfaces 19 of the steps, then an eye point can be selected which lies above these tread surfaces 19 and corresponds, for example, to the position of the lens of a television camera.

In FIG. 5 shows a staircase in which the image 10 is shown on the setting surfaces 11.2, 11.3, 11.4 and 11.5 of the second to fifth stages, counted from the first, lowest stage 16. The method used here for the illustration builds on the methods described above in connection with the staircase of FIG. 2 have been described.

The starting point for this supplementary method is the knowledge that, in the case of stair-like surfaces, an at least partial concealment of a partial surface can occur due to a partial surface closer to the eye point AP. This concealment effect, which can also be referred to as a shading effect, is easy, for example, in the case of the stairs in FIG. 5: The total stair-like area used for the illustration consists of the second to fifth seating area 11.2-11.5, of which the second seating area 11.2 lies completely below the visual axis A, the third seating area 11.3 lies on the visual axis A and is cut by it and the fourth and fifth seating areas 11.4 and 11.5 lie completely above the visual axis A. Consequently, the total area has at least one rear partial area - namely the two setting areas 11.4 and 11.5 - which, from the perspective of the eye point AP, is offset behind a front partial area - namely the setting areas 11.3 and 11.4 - in such a way that an area 20 of the rear partial area 11.4 / 11.5 is covered by the respective front partial surface 11.3 / 11.4. Since the hidden areas 20 cannot be seen from the eye point AP, it is provided in accordance with the supplemented method that they are not used for imaging the partial images 10.3, 10.4 assigned to the respective rear partial surface 11.4, 11.5.

In FIG. 5 also clearly shows that the concealed areas 20 of the rear setting surfaces 11.4 and 11.5 are each delimited at their upper edge by visual rays which intersect the upper edge of the respectively next front setting surface 11.3 and 11.4. The stairs here have steps with straight front edges, which are also the upper edges of the setting surfaces 11, so that the hidden areas 20 are horizontal, right-angled strips at the lower edge of the rear setting surfaces 11.4, 11.5.

In the following, the formula for calculating the height F _{j of} the hidden area 20 of the i-th seating area 11. I, measured from its lower edge, is derived.

For the height F4 of the concealed area 20 of the fourth setting surface 11.4, as can easily be seen in FIG. 5, the following ray set can be seen for the visual axis A and the line of sight that intersects the upper edge of the next front, i.e. third, seating surface 11.3: F ₄ / t = G ₃ / W ₃ where: t is the depth of the steps 19 of the stairs .

G3 is the vertical distance between the upper edge of the third seating surface 11.3 and the visual axis A, and W3 is the horizontal distance between the upper edge of the third seating surface 11.3 and the eye point AP. Correspondingly, for the height F5 of the concealed area 20 of the fifth setting surface 11.5, the following ray set applies for the visual axis A and the line of sight, which intersects the upper edge of the next front, i.e. fourth, setting surface 11.4: F ₅ / t = G ₄ / W ₄ in which: G4 is the vertical distance between the upper edge of the fourth seating surface 11.4 and the visual axis A, and W4 is the horizontal distance between the upper edge of the fourth seating surface 11.4 and the eye point AP.

From these two equations, the following general formula for the height F _{j of} the hidden area 20 of the i-th seating area can accordingly be drawn

11. i can be derived:

Fj = t ^χ G _i . ₁ / W _i . ₁ where: i is the index for the levels and i = 1 for the first, lowest level 16,

Gj_ι the vertical distance between the upper edge of the next front seating surface ll. (I-l) and the visual axis

A is, and

Wj_ι is the horizontal distance between the upper edge of the next front setting surface ll. (I-l) and the eye point AP.

In FIG. 5 is also easy to see that: for the vertical distance G3 of the third setting surface 11.3: where: h is the height of the seating surfaces 11 of the stairs, and

H is the vertical distance between the line of sight A and the lower landing 15; and for the horizontal distance W3 of the third setting surface 11.3: where: X _{A is} the horizontal distance between the top edge of the seating surface of the first step 16 and the eye point A.

The following applies accordingly: for the vertical distance G _{4 of} the fourth setting surface 11.4: for the horizontal distance W4 of the fourth setting surface 11.4:

From these four equations, the following general formulas for the vertical distance Gj_ι and the horizontal distance Wj.! the (i-l) th setting area ll. (i-l) are derived:

The formulas explained above can thus be used to calculate the size of the hidden areas 20, which can preferably be done with the aid of a computing device. From the hidden areas 20, the size of the areas required for the imaging of the partial images 10.3, 10.4 on the rear setting surfaces 11.4, 11.5 can also be calculated in a simple manner, which can preferably be done with the aid of a computing device.

LIST OF REFERENCE NUMBERS

10 picture, drawing files

11 seating areas

12 ninth level

13 tenth stage

14 eleventh stage

15 lower landing

16 first stage

17 eye

18 viewers

19 steps

20 hidden area h step height t step depth

AP eye point

A line of sight

Xo eye distance of the image

Claims

PATENT CLAIMS

1. Method for imaging an image (10) on a staircase-like surface with at least two partial surfaces (11.9, 11.10, 11.11; 19), which run transversely to a visual axis (A) and are offset relative to one another along the visual axis (A). , characterized by the steps that: an eye point (AP) is selected which lies on the visual axis (A) in front of the partial areas (11); the image (10) is divided into partial images (10.1, 10.2, 10.3), which are assigned to the partial areas (11.9-11.11), by projecting it onto the partial areas (11.9-11.11) starting from the eye point (AP). is adorned; and each partial image (10.1-10.3) is mapped onto its assigned partial area (11.9-11.11).

2. Method for imaging an image (10) on a stair-like surface with at least two partial surfaces (11.9, 11.10, 11.11; 19), which run transversely to a visual axis (A) and are offset relative to one another along the visual axis (A). through the steps that: an eye point (AP) is selected that lies on the visual axis (A) in front of the partial areas (11.9-11.11); - The image (10) is divided into partial images (10.1, 10.2, 10.3), which are assigned to the partial areas (11.9-11.11), in such a way that the first partial image (10.1), which is the first, is closest to the eye point (AP). lying partial area (11.9) is assigned, is changed according to a predetermined scale and that each further partial image (10.2, 10.3) relative to the first partial image (10.1) according to the

The distance of its associated partial surface (11.10, 11.11) from the eye point (AP) is increased; and each partial image (10.1, 10.2, 10.3) is mapped onto its assigned partial area (11.9-11.11).

3. The method according to claim 2, characterized in that the magnification scale of a partial image (10.2, 10.3) relative to the first partial image (10.1) is equal to the quotient of the distance of its assigned partial area (11.10, 11.11) from the eye point (AP) and the Distance of the first partial surface (11.9) from the eye point (AP) is.

4. Method according to one of the preceding claims, characterized in that the surface is formed by the surface of a staircase.

5. The method according to claim 4, characterized in that the staircase is an escalator.

6. The method according to claim 4, characterized in that the stairs are located in a grandstand of a sports stadium or an event hall.

7. Method according to one of claims 4 to 6, characterized in that the partial surfaces are formed by the setting surfaces (11.9-11.11).

Stages (12, 13, 14) are formed.

8. Method according to one of claims 4 to 6, characterized in that the partial surfaces are formed by the tread surfaces (19) of the steps (12, 13, 14).

9. Method according to one of the preceding claims, characterized in that the eye point (AP) is defined by the position of a camera.

10. The method according to any one of the preceding claims, characterized in that the step-like surface has at least one rear partial surface (11.4, 11.5) which, from the perspective of the eye point (AP), is offset behind a front partial surface (11.3, 11.4) in such a way that a Area (20) of the rear partial surface (11.4, 11.5) through the front partial surface Che (11.3, 11.4) is covered, and that this hidden area (20) of the rear partial area (11.4, 11.5) is not used for imaging the partial image (10.3, 10.4) assigned to the rear partial area (11.4, 11.5).

11. The method according to claim 10, characterized in that: the surface is formed by the surface of a staircase; the visual axis (A) is horizontal; the partial surfaces are formed by setting surfaces (11) of the steps (12, 13, 14), of which at least one setting surface (11.4, 11.5) is behind that setting surface (11.3, as viewed from the eye point (AP),

11.4), on which the visual axis (A) meets, lies and thus has a strip-shaped area (20) on its lower edge, which is covered by the next front seating surface (11.3, 11.4); and the height (F _j ) of the hidden area (20), measured from the lower edge of the rear seating surface (11.4, 11.5), by the following

Formula is determined: F _i = t χ G _i . ₁ / W _j . ₁ where: i is the index for the steps and i=l stands for the first, lowest step, t is the depth of the treads (19) of the stairs,

G _j _ι is the vertical distance between the top edge of the next front seating surface (11.3, 11.4) and the visual axis (A), and Wj_ι is the horizontal distance between the top edge of the next front seating surface (11.3, 11.4) and the

Eye point (AP) is.

12. The method according to claim 11, characterized in that: the vertical distance (G _j _ι) is determined by the following formula: where: h is the height of the risers (11) of the stairs, and

H is the vertical distance between the visual axis (A) and the lower landing (15); and the horizontal distance (Wj_ι) is determined by the following formula: where: X _A is the horizontal distance between the top edge of the first stage seating surface and the eye point (AP).

13. Staircase with at least two setting surfaces (11.9, 11.10, 11.11), on which an image (10) is depicted, characterized in that: the image (10) is divided into partial images (10.1, 10.2, 10.3), which correspond to the setting surfaces (11.9-11.11) and are shown on the seating areas (11.9-11.11) assigned to them; and each partial image (10.2, 10.3) relative to the lowest partial image (10.1) according to the horizontal distance of its assigned image

Setting surface (11.10, 11.11) is enlarged from the lowest setting surface (11.9).

14. Staircase according to claim 13, characterized in that the magnification scale of a partial image (10.1, 10.2, 10.3) is equal to the quotient of the sum of the horizontal distance of its assigned seating surface (11.9-11.11) from the lowest seating surface (11.9) and is the horizontal distance of the lowest seating surface (11.9) from a predetermined eye point (AP) located in front of the stairs and the horizontal distance of the lowest seating surface (11.9) from the eye point (AP).

15. Staircase with at least two treads (19) on which an image (10) is depicted, characterized in that: the image (10) is divided into partial images which are assigned to the treads (19) and on the treads (19) assigned to them. 19) are shown; and each partial image is enlarged relative to the uppermost partial image in accordance with the vertical distance of its assigned tread surface (19) from the uppermost tread surface (19).

16. Staircase according to claim 15, characterized in that the magnification scale of a partial image is equal to the quotient of the

Sum of the vertical distance of its assigned tread (19) from the top tread (19) and the vertical distance of the top tread (19) from a predetermined eye point (AP) above the stairs and the vertical distance of the top tread ( 19) from the eye point (AP).

17. Staircase according to one of claims 13 to 16, characterized in that the staircase is an escalator.

18. Staircase according to one of claims 13 to 16, characterized in that the staircase is located in a grandstand of a sports stadium or an event hall.

19. Stairs according to one of claims 13 to 18, characterized in that the eye point (AP) is defined by the position of a camera.

20. Staircase according to one of claims 13 to 19, characterized in that it has at least one rear partial surface (11.4, 11.5) which, from the point of view of the eye point (AP), lies offset behind a front partial surface (11.3, 11.4), that an area (20) of the rear partial surface (11.4, 11.5) is covered by the front partial surface (11.3, 11.4), and that this hidden area (20) of the rear partial surface (11.4, 11.5) is not used for imaging the rear partial surface (11.4,

11.5) assigned partial image (10.3, 10.4) is used.

21. Staircase according to claim 20 and according to claim 13 or 14, characterized in that: the visual axis (A) is horizontal; Of the setting surfaces (11), at least one setting surface (11.4, 11.5) lies, as viewed from the eye point (AP), behind the setting surface (11.2) on which the visual axis (A) hits, and thus has a strip-shaped area (20) at its lower edge. which is covered by the next front seating surface (11.3, 11.4); and the height (Fj) of the hidden area (20), measured from the lower edge of the rear seating surface (11.4, 11.5), is determined by the following formula: F _j = tx Gj_! / W _j .i where: i is the index for the steps and i = l stands for the first, lowest step, t is the depth of the treads (19) of the stairs, G _j _ι is the vertical distance between the top edge of the next front step Placement surface (11.3, 11.4) and the visual axis (A), and

Wy.! is the horizontal distance between the upper edge of the next front seating surface (11.3, 11.4) and the eye point (AP).

22. Staircase according to claim 21, characterized in that: the vertical distance (G _j _ _] _) is determined by the following formula: where: h is the height of the risers (11) of the stairs, and H is the vertical distance between the visual axis (A) and the lower landing (15); and the horizontal distance (W _j ^) is determined by the following formula: where : X _A is the horizontal distance between the top edge of the

Setting surface of the first stage and the eye point (AP).