# Method of determining shape, sizes and angles of inclination of transportation vehicle flat observing mirror

FIELD: mirror systems of observation.

SUBSTANCE: coordinates of point of driver's eye and reference point at object to be observed in the driver mirror are measured by rule as well as reference point at mirror of transportation vehicle. Angles of inclination of mirror to coordinate planes are found from relations mentioned in formula of invention. Inclination of driving mirror to coordinate planes is determined. Random point at object of observation is preset and its coordinates are measured by means of measuring tape. Coordinates of point in mirror are calculated where the light beam reflects from the mirror and enters driver's eye. Procedure repeats many times for many random points at object of observation and coordinates of corresponding points of reflection at plane of mirror are found. Shape and sizes of mirror are determined by end points of reflection.

EFFECT: simplified determining of shape and sizes of mirror; improved precision of orientation.

2 cl, 2 dwg

The invention relates to the field of vehicles, namely to the mirror optical systems surveillance of an area, not visible from the driver's seat, and can be used to improve the accuracy of orientation view mirrors in space relative to the vehicle, while providing a view through the mirror behind the test object and to determine the shape and size of the mirror provides the driver with the observation of objects that require supervision, outside the zone of direct visibility.

The known method for the development of the surface shape, the dimensions and angles of the automobile rear view mirrors EN BIPM No. 23, 20.08.2000, No. 98118772/28 (09.10.1998), IPC 7 G 02 In 5/08.

This method of development mirrors provides for the installation of the light source in the spatial position of the eyes of the driver, the installation of reflective mirrors in the spatial position of the simulated rear-view mirror; the object set back plan in position of the object during simulated rear view mirror, the direction of the light source on the back of the test area on the surface of the specified reflective mirror; the regulation specified surface reflective mirror, making the specified light reflective in the specified area of the object background; the direction of the light to the next testing area; the repetition of the of eraci throughout a given test area and the adoption of a form of the surface of the mirror, as rearview mirrors.

However, this method is tedious, cumbersome and complicated, costly, and not precise enough for the orientation of the mirror and determine its size and shape.

The aim of the invention is to simplify the determination of the shape and size of the flat view mirrors for vehicles, improving the accuracy of its orientation in space while observing through his objects of control.

This goal is achieved by the fact that the measured coordinates of points in the spatial position of the eyes of the driver in the vehicle, for example, point G (x_{g};_{g}; z_{g}), a reference point on the object of observation, which is controlled through the mirror of the review, for example, point H (x_{n};_{n}; z_{n}), a reference point on the mirror of the vehicle, which is reflected reference point N on the object of observation during monitoring by the driver through the mirror of the review, for example, point M with coordinates (x_{m}; y_{m}, z_{m}), and determine the angles of inclination of the mirror plane of the review to the coordinate planes by the formulas:

α =rs(z_{M}-z_{E})/[(x_{M}-x_{E})^{2}+(y_{M}-u_{E})^{2}+(z_{M}-z_{E})^{2}]^{1/2};

β =rs(y_{M}-u_{E})/[(x_{M}-x_{E})^{2}+(y_{M}-u_{E})^{2}+(z_{M}-z_{E})^{2}]^{1/2
;}

γ =rs(x_{M}-x_{E})/[(x_{M}-x_{E})^{2}+(y_{M}-u_{E})^{2}+(z_{M}-z_{E})^{2}]^{1/2};

which set the tilt mirrors of the review to the coordinate planes;

the coordinates of the point E (x_{E};_{E}; z_{E}- as the point of intersection of the bisectors of the angle control with a side of MT determined by the formula:

x_{E}=(x_{g}+λ · x_{n})/(1+λ );

the_{E}=(I_{g}+λ · I_{n})/(1+λ );

z_{E}=(z_{g}+λ · z_{n})/(1+λ );

factor λ determined by the formula:

then (a) designate an arbitrary point on the test object and measure its coordinates, for example, point To (x_{to};_{to}; z_{to}) and calculate the coordinates of the point on the mirror, for example, L_{1}that reflected light beam from point To and catches the eye of the driver in the point G by the formulas:

_{L1}=(x_{G1}+λ_{1·}x_{K1})/(1+λ_{1});

the_{L1}=(I_{G1}+λ_{1·}the_{K1})/(1+λ_{1});

z_{L1}=(z_{G1}+λ_{1·}z_{K1})/(1+λ_{1});

where point G_{1}with coordinates (x_{G1}; y_{G1}; z_{G1}) is the intersection point of the perpendicular from point G on the plane mirror, which are determined from the expressions:

x_{G1}=x_{g}+|·_{
1};

y_{G1}=y_{g}+m·t_{1};

z_{G1}=z_{g}+n·t_{1};

a t_{1}is determined from the equation:

And_{2}(x_{g}+|·t_{1}-x_{m})+In_{2}(y_{g}+m·t_{1}-u_{m})+C_{2}(z_{g}+n·t_{1}-z_{m})=0;

in which the coefficients a_{2};_{2}; C_{2}find their conditions of perpendicularity direct YY_{1}the mirror plane by the formula:

and indicators |, m, n are determined from the equations;

|=x_{m}-x_{g};

m=y_{m}-u_{g};

n=z_{m}-z_{g};

similarly, for the point of intersection of the perpendicular from a point To a plane mirror, for example, point K_{1}with coordinates (x_{K1};_{K1}; z_{K1}) define:

x_{K1}=x_{to}+|·t_{2};

the_{K1}=y_{to}+m·t_{2};

z_{K1}=z_{to}+n·t_{2};

t_{2}determined from the equation:

And_{2}(x_{to}+|·t_{2}-x_{m})+In_{2}(y_{to}+m·t_{2}-u_{m})+C_{2}(z_{to}+n·t_{2}-z_{m})=0;

λ_{1}determined by the formula:

then repeat operations (a) for the set of points on the monitored through the mirror objects of the control calculations and determine the coordinates of the points of reflection in the mirror plane observed by the driver, and p is an extreme point of reflection define the configuration (shape) and size of the mirror.

Combine the plane mirror with the drawing, which mark the points were found reflection in the mirror from points on the objects, the distance between the three points of reflection, and these distances are found by the formulas, for example, between points M and L_{1}:

ML_{1}=d_{1}=[(x_{m}-x_{1})^{2}+(y_{m}-y_{1})^{2}+(z_{m}-z_{1})^{2}]^{1/2}.

To simplify the way designate an arbitrary point on the test object, monitored through the mirror of the review, located on the edge of the contour of the object of observation, visible by the driver through the mirror of the review.

1 shows a diagram of the location of the driver when observed through the mirror of the review that is installed on the vehicle, with the control object.

Figure 2 shows the scheme of the natural size and configuration (shape) of the mirror by combining the mirror plane of the drawing, which marked the point of reflection in the mirror from points on the objects of control and stroked extreme points, as determined by the configuration and size of the review mirror.

Mirror review 1 installed on a vehicle (not shown) in the spatial position of the simulated view mirrors in accordance with the design of the cabin; the point G is a point in the spatial position of the eyes of the driver 2 in the vehicle; the object on which lugenia 3, which is controlled by the driver 2 through the mirror survey 1, which highlighted the observed datum N; dot M - a reflection of the point N on the mirror review 1 observed by the driver 2. Set of rectangular coordinate axes O x y z.

The method is as follows.

Measure, for example, using a measuring tape or meter, coordinates: point G in the spatial position of the eyes of the driver 2 in the vehicle - (x_{g};_{g}; z_{g}); the reference point on the object of observation 3 N (x_{n};_{n}; z_{n}); the reference point M on the mirror overview 1 M (x_{m}; y_{m}; z_{m}), and determine the angles of inclination of the mirror plane review 1 - P_{2}to the coordinate planes by the formulas:

α =rs(z_{M}-z_{E})/[(x_{M}-x_{E})^{2}+(y_{M}-u_{E})^{2}+(z_{M}-z_{E})^{2}]^{1/2};

β =rs(y_{M}-u_{E})/[(x_{M}-x_{E})^{2}+(y_{M}-u_{E})^{2}+(z_{M}-z_{E})^{2}]^{1/2};

γ =rs(x_{M}-x_{E})/[(x_{M}-x_{E})^{2}+(y_{M}-u_{E})^{2}+(z_{M}-z_{E})^{2}]^{1/2};

which sets the slope of the review mirror 1 to the coordinate planes using measuring angles (goniometer);

the coordinates of the point E (x_{E};_{E}; z_{E}- as the point of intersection of the bisectors of the angle control with Toroni GN,
determined by the formula:

x_{E}=(x_{g}+λ · x_{n})/(1+λ );

the_{E}=(I_{g}+λ · I_{n})/(1+λ );

z_{E}=(z_{g}+λ · z_{n})/(1+λ );

and the ratio (determined by the formula:

then (a) designate an arbitrary point on the test object 3 and measure its coordinates, for example, point To (x_{to}; y_{to}; z_{to}) using a measuring tape or meter, and calculate the coordinates of the point on the mirror review 1, in which the reflected beam of light from point To and catches the eye of the driver 3 at the point G by the formulas:

x_{1}=(x_{G1}+λ_{1}·_{}x_{K1})/(1+λ_{1});

the_{1}=(I_{G1}+λ_{1}·_{}the_{K1})/(1+λ_{1});

z_{1}=(z_{G1}+λ_{1}·_{}z_{K1})/(1+λ_{1});

where point G_{1}with coordinates (x_{G1}; y_{G1}; z_{G1}) is the intersection point of the perpendicular from point G on the plane of the mirror 1, which are determined by the expressions:

x_{G1}=x_{g}+|· t_{1};

y_{G1}=y_{g}+m· t_{1};

z_{G1}=z_{g}+n· t_{1};

a t_{1}is determined from the equation:

And_{2}(x_{g}+|· t_{1}-x_{m})+In_{2}(y_{g}+m· t_{1}-u_{m})+C_{2}(z_{g}+n· t_{1}-z_{m})=0;

in the cat the rum coefficients A_{
2}In_{2}With_{2}found from the condition of perpendicularity direct YY_{1}the plane of the mirror 1 by the formula:

and the indices I, m, n are determined from the equations:

|=x_{m}-x_{g};

m=y_{m}-u_{g};

n=z_{m}-z_{g};

similarly, for the point of intersection of the perpendicular from the point To the plane of the mirror 1, i.e. for a point K_{1}with coordinates (x_{K1};_{K1}; z_{K1}) define:

x_{K1}=x_{to}+|· t_{2};

the_{K1}=y_{to}+m· t_{2};

z_{K1}=z_{to}+n· t_{2};

t_{2}determined from the equation:

And_{2}(x_{to}+|· t_{2}-x_{m})+In_{2}(y_{to}+m· t_{2}-u_{m})+C_{2}(z_{to}+n· t_{2}-z_{m})=0;

a λ_{1}determined by the formula:

Then repeat operations (a) for the set of points on the monitored through the mirror 1 objects control 3 calculations and determine the coordinates of the reflection points in the plane of the mirror 1, the observed driver 2, and at the reflection points define the configuration (shape) and size of the mirror 1; combine the plane of the mirror 1 with the drawing, which mark the points were found reflection in the mirror 1 from the points on the objects of control 3, the distance between the three points of reflection, and these distances o the t by the formulas,
for example, between points M and L_{1}:

ML_{1}=d_{1}=[(x_{m}-x_{1})^{2}+(y_{m}-y_{1})^{2}+(z_{m}-z_{1})^{2}]^{1/2}.

To simplify the way designate an arbitrary point on the test object 3, the monitored through the mirror review 1, located on the edge of the contour of the object of observation 3, visible by the driver 2 through the mirror of the review 1.

This method provides a simplified definition of the shape and dimensions of the flat view mirrors for vehicles, improving the accuracy of its orientation in space while observing through his objects of control.

1. The method of determining the shape, size and angles of the flat mirrors to review the vehicle to the coordinate planes, including the installation of a point in the spatial position of the eyes of the driver on the vehicle, the installation of a reference point of the reflective planar mirrors in the spatial position of the simulated view mirrors on the vehicle, installation of facilities controlled through the mirror of the review by the driver, the position of objects in the simulated mirror, setting the coordinate axes (for example, Oxyz), characterized in that, to simplify and improve the accuracy of orientation of the mirrors on the vehicle in space when monitoring through C is rculo for control objects,
measure the coordinates of points in the spatial position of the eyes of the driver in the vehicle, such as point D with coordinates (x_{g};_{g}; z_{g}), a reference point on the object of observation, which is controlled through the mirror of the review, such as point N with coordinates (x_{n},_{n}, z_{n}), a reference point on the mirror of the vehicle, which reflects the reference point on the object surveillance monitoring by the driver through the mirror, for example, point M with coordinates (x_{m};_{m}; z_{m}) determine the angles of inclination of the mirror plane to the coordinate planes by formulas

α =rs(z_{M}-z_{E})/[(x_{M}-x_{E})^{2}+(y_{M}-u_{E})^{2}+(z_{M}-z_{E})^{2}]^{1/2};

β =rs(y_{M}-u_{E})/[(x_{M}-x_{E})^{2}+(y_{M}-u_{E})^{2}+(z_{M}-z_{E})^{2}]^{1/2};

γ =rs(x_{M}-x_{E})/[(x_{M}-x_{E})^{2}+(y_{M}-u_{E})^{2}+(z_{M}-z_{E})^{2}]^{1/2},

which set the tilt of the mirror to the coordinate planes; the coordinates of the point E (x_{E};_{E}; z_{E}- as the point of intersection of the bisectors of the angle control with a side of GBV, determined by the formula

x_{E}=(x_{g}+λ · x_{n})/(1+λ );

the_{E}=(I_{g/sub>
+λ · In)/(1+λ );}

z_{E}=(z_{g}+λ · z_{n})/(1+λ ),

and the factor λ determined by the formula

then (a) designate an arbitrary point on the test object and measure its coordinates, for example, point To coordinates (x_{to};_{to}; z_{to}), and calculate the coordinates of the point on the mirror, which reflects the light beam from point To and catches the eye of the driver, according to the formula

x_{L1}=(x_{G1}+λ_{1}·_{}x_{K1})/(1+λ_{1});

the_{L1}=(I_{G1}+λ_{1}·_{}the_{K1})/(1+λ_{1});

z_{L1}=(z_{G1}+λ_{1}·_{}z_{K1})/(1+λ_{1}),

where point G_{1}with coordinates (x_{G1};_{G1}; z_{G1}) is the intersection point of the perpendicular from point G on the plane mirror, which are determined from expressions

x_{G1}=x_{g}+I· t_{1};

y_{G1}=y_{g}+m· t_{1};

z_{G1}=z_{g}+n· t_{1},

a t_{1}is determined from the equation

And_{2}(x_{g}+I· t_{1}-x_{m})+In_{2}(y_{g}+m· t_{1}-u_{m})+C_{2}(z_{g}+n· t_{1}-z_{m})=0,

in which the coefficients And_{2}In_{2}With_{2}found from the condition p is rendiconti direct YY_{
1}the mirror plane by the formula

and the indices I, m, n is determined from equations

I=x_{m}-x_{g};

m=y_{m}-u_{g};

n=z_{m}-z_{g},

similarly, for the point of intersection of the perpendicular from a point To a plane mirror, for example, point K_{1}with coordinates (x_{K1};_{K1}; z_{K1}), define:

x_{K1}=x_{to}+I· t_{2};

the_{K1}=y_{to}+m· t_{2};

z_{K1}=z_{to}+n· t_{2},

t_{2}determine from the equation

And_{2}(x_{to}+I· t_{2}-x_{m})+In_{2}(y_{to}+m· t_{2}-u_{m})+C_{2}(z_{to}+n· t_{2}-z_{m})=0,

a λ_{1}determined by the formula

then repeat operations (a) for a variety of other points on the monitored through the mirror objects of the control calculations and determine the coordinates of the points of reflection in the mirror plane observed by the driver, and at the reflection points define the shape and dimensions of the mirror.

2. The method of determining the shape, size and angles of the flat mirrors to review the vehicle to the coordinate planes according to claim 1, characterized in that the combining plane mirror drawing, colorometric points were found reflection in the mirror from points on the object control on the distance between the three points of reflection,
and these distances are found by the formulas, for example, between points M and L_{1}:

ML_{1}=d_{1}=[(x_{m}-x_{L1})^{2}+(y_{m}-y_{L1})^{2}+(z_{m}-z_{L1})^{2}]^{1/2}.

3. The method of determining the shape, size and angles of the flat mirrors to review the vehicle to the coordinate planes according to claim 1, characterized in that, to simplify the way, are assigned to an arbitrary point on the test object, monitored through the mirror of the review, located on the edge of the contour of the object of observation, visible by the driver through the mirror of the review.

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