CN111330257B - Automatic dice throwing equipment - Google Patents

Automatic dice throwing equipment Download PDF

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Publication number
CN111330257B
CN111330257B CN202010206293.4A CN202010206293A CN111330257B CN 111330257 B CN111330257 B CN 111330257B CN 202010206293 A CN202010206293 A CN 202010206293A CN 111330257 B CN111330257 B CN 111330257B
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dice
throwing
area
automatic
platform
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CN111330257A (en
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顾文庆
李文兴
于振中
金小飞
谭现虎
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HRG International Institute for Research and Innovation
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HRG International Institute for Research and Innovation
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    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63FCARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00Games not otherwise provided for
    • A63F9/04Dice; Dice-boxes; Mechanical dice-throwing devices
    • A63F9/0406Dice-throwing devices, e.g. dice cups
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63FCARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00Games not otherwise provided for
    • A63F9/04Dice; Dice-boxes; Mechanical dice-throwing devices
    • A63F9/0406Dice-throwing devices, e.g. dice cups
    • A63F2009/0408Dice-throwing devices, e.g. dice cups with a dice projecting device
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02ATECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
    • Y02A40/00Adaptation technologies in agriculture, forestry, livestock or agroalimentary production
    • Y02A40/80Adaptation technologies in agriculture, forestry, livestock or agroalimentary production in fisheries management
    • Y02A40/81Aquaculture, e.g. of fish

Abstract

The invention provides automatic dice throwing equipment which comprises a throwing platform and an observation cover for covering the throwing platform, wherein two ends of the throwing platform in the length direction are respectively tilted upwards to form two throwing surfaces with symmetrical structures, the throwing platform is also connected with a driving mechanism, and the driving mechanism can drive the throwing platform to swing to enable the two throwing surfaces to be respectively close to a horizontal state. The dice automatic throwing device provided by the invention has the advantages that: two throwing surfaces are arranged on two sides of the same throwing platform, automatic throwing of dice is realized conveniently by driving the throwing platform to swing, the throwing process and the result are disclosed and transparent, the state of the throwing surfaces when stopping is ensured by the cooperation of the gear and the limiting part, the movement impact abrasion is reduced, and the service life is prolonged; the visual sensor is used for collecting images and videos of dice movement, so that a movement process and a result can be conveniently presented to a user, the result can be automatically identified by means of an algorithm, and the labor cost and the error rate are reduced.

Description

Automatic dice throwing equipment
Technical Field
The invention relates to the technical field of dice rotating equipment, in particular to automatic dice throwing equipment.
Background
A game of rolling dice and identifying the dice points by some method, and making a win or lose or drawing a lottery by a combination of the results of the dice points is a known entertainment activity. In the current game process, the operation is widely performed by manually shaking dice, however, the process is possibly considered to control the game result, so that an unfair phenomenon appears; in addition, observers cannot observe the dice during rotation, so that others may doubt the game result.
Disclosure of Invention
The invention aims to solve the technical problem of providing the dice automatic throwing equipment which can automatically shake dice and can observe the whole process, so as to solve the problems of unfair throwing method or low confidence in the prior art.
The invention solves the technical problems through the following technical scheme: the utility model provides an automatic throwing equipment of dice, includes throwing platform and covers the observation of throwing platform, two throwing faces that upward perk formed symmetrical structure respectively along length direction's both ends of throwing platform, throwing platform still is connected with actuating mechanism, actuating mechanism can drive throwing platform swing and make two throwing faces be close the horizontality respectively.
The automatic throwing device provided by the invention is positioned on the lower and basically horizontal throwing surface when the dice is stationary, the throwing platform rotates under the action of the driving mechanism to make the lower throwing surface to be lifted upwards, the dice is enabled to move in the observation cover and finally fall on the lower throwing surface at the other end, so that the automatic throwing of the dice is realized, and the whole process is transparent.
Preferably, after the swing of the throwing platform is stopped, the end part of the corresponding throwing surface is slightly higher than the tilting position of the throwing surface.
Preferably, the maximum clearance between the throwing face at one end and the viewing hood is less than the minimum width of the dice when the throwing face at the other end is in a substantially horizontal state.
Preferably, the rotating shaft of the throwing platform is perpendicular to the length direction of the throwing platform, and the distance from the rotating shaft to the throwing surfaces at two ends is the same and is positioned below the throwing platform.
Preferably, the driving mechanism comprises a motor, a driving gear is coaxially fixed at the power output end of the motor, and a driven gear meshed with the driving gear is arranged on the rotating shaft.
Preferably, the driving gear comprises a plurality of gears which are coaxially arranged and have different radiuses, the motor can adjust the height along the vertical direction, and the motor output shaft can change the extending distance along the axial direction.
Preferably, the motor is fixed on the base, limiting parts are arranged on two sides of the base along the horizontal direction, and buffer pads matched with the limiting parts are arranged below the throwing surfaces on two sides.
Preferably, the driven gear is a residual gear formed by a part of the whole circular gear, and the central angle of the driven gear is not smaller than the swing angle of the throwing platform.
Preferably, a visual sensor acting on the throwing platform is further arranged above the observation cover.
Preferably, a group of visual sensors acting on the corresponding throwing surfaces are arranged above the throwing surfaces on both sides; a light source acting on the throwing platform is also arranged above the observation cover.
The dice automatic throwing device provided by the invention has the advantages that: two throwing surfaces are arranged on two sides of the same throwing platform, automatic throwing of dice is realized conveniently by driving the throwing platform to swing, the throwing process and the result are disclosed and transparent, the state of the throwing surfaces when stopping is ensured by the cooperation of the gear and the limiting part, the movement impact abrasion is reduced, and the service life is prolonged; the dice motion image and video can be acquired through the vision sensor, so that the motion process and the result can be conveniently presented to a user, the result can be automatically identified by means of an algorithm, and the labor cost and the error rate are reduced.
Drawings
FIG. 1 is a schematic diagram of an automatic dice throwing apparatus according to an embodiment of the present invention;
FIG. 2 is a diagram illustrating a dice motion state according to an embodiment of the present invention;
FIG. 3 is an enlarged view of a portion A of FIG. 1;
FIG. 4 is an enlarged view of a portion B of FIG. 1;
FIG. 5 is a background view of the motion area without dice provided by an embodiment of the invention;
FIG. 6 is a schematic diagram of a region mask provided by an embodiment of the present invention;
FIG. 7 is a dice drop area image provided by an embodiment of the invention;
fig. 8 is a dice candidate area image provided by an embodiment of the present invention;
FIG. 9 is an extraneous highlight region image provided by an embodiment of the present invention;
FIG. 10 is a dice area image provided by an embodiment of the invention;
FIG. 11 is a diagram illustrating the individual dice dividing results according to an embodiment of the present invention;
fig. 12 and 13 are graphs showing the point identification results of different dice individuals according to the embodiment of the present invention.
Detailed Description
The present invention will be further described in detail below with reference to specific embodiments and with reference to the accompanying drawings, in order to make the objects, technical solutions and advantages of the present invention more apparent.
As shown in fig. 1, the embodiment provides an automatic dice throwing device, which comprises a throwing platform 1 and an observation cover 2 covering the throwing platform 1, wherein the observation cover 2 is a closed transparent shell for participants to observe the motion condition of dice on the throwing platform 1; reducing or even eliminating the challenge of others; the two ends of the throwing platform 1 along the length direction are respectively lifted to form two throwing surfaces 11 with symmetrical structures, the throwing platform 1 is further connected with a driving mechanism 3, the driving mechanism 3 can drive the throwing platform 1 to swing in the plane, and the limit position of swing is the position where the two throwing surfaces 11 are respectively close to the horizontal state.
Referring to fig. 2, the dice 4 is positioned on a lower and substantially horizontal throwing surface 11 when being stationary, under the action of the driving mechanism 3, the throwing platform 1 rotates to make the lower throwing surface 11 to lift up, so that the dice 4 jump upwards, move in the observation cover 2 and finally fall on the other lower throwing surface 11, thereby realizing automatic throwing of the dice 4, and the whole process is public and transparent.
For the convenience of observation, it is not desirable that the dice fall to a position where the edge is closely attached to the observation cover, so that after the movement of the throwing platform 1 in this embodiment is stopped, the end of the throwing surface 11 at the lower position is slightly higher than the root of the raising position of the throwing surface 11, thereby forming the overall substantially horizontal throwing surface 11 structure shown in fig. 2, and the end is slightly higher.
In order to prevent the dice from falling into the gap between the upper throwing surface 11 and the observation cover 2 during the movement of the dice, it is necessary to keep the maximum gap between the upper throwing surface 11 and the observation cover 2 smaller than the minimum width of the dice 4; because the movement track of the end part of the throwing surface 11 is an arc, the contact part of the observation cover 2 and the end part of the throwing surface 11 can be correspondingly set to be a matched arc, and the gap size is kept to be in accordance with the requirement.
Referring to fig. 3, a rotating shaft 12 of the throwing platform 1 is perpendicular to the length direction of the throwing platform 1, the distance from the rotating shaft 12 to the throwing surfaces 11 at two ends is the same and is positioned below the throwing platform 1, and a driven gear 13 is fixed on the rotating shaft 12; the driving mechanism 3 comprises a motor 31, a driving gear 32 is coaxially fixed at the power output end of the motor 31, and the driving gear 32 and the driven gear 13 are matched to provide driving force for the throwing platform 1.
In the preferred embodiment, the driven gear 13 is a stub gear formed by a part of the whole circular gear, and the central angle of the driven gear 13 is not smaller than the swing angle of the throwing platform 1, namely, the complementary angle of the included angle of the two throwing surfaces 11.
In addition, in order to increase the interest, the driving gear 32 is a multi-stage gear, that is, includes a plurality of gears coaxially sleeved but having different radii, and the gears having different radii are meshed with the driven gear 13 by adjusting the matching relationship, so that different swinging speeds can be provided for the throwing platform 1 under the condition that the rotation speed of the motor 31 is unchanged, so that the speed and the time of the dice 4 moving in the observation cover 2 are different. In the case of using a multi-stage gear, the motor 31 also needs to be correspondingly arranged to maintain the driving effect; specifically, the driving gear 32 is meshed with the output shaft of the motor 31, and the radius of the driving gear 32 matched with the motor 31 is changed by changing the transmission gear. In the present embodiment, since the drive gear 32 is disposed coaxially with the output shaft of the motor 31, the motor 31 is disposed so as to be adjustable in height in the vertical direction, and the output shaft of the motor 31 is disposed so as to be adjustable in the expansion and contraction amount in the axial direction; the height of the motor 31 can be adjusted in a cylinder, a telescopic rod and other modes, and the axial expansion amount of the output shaft can be adjusted through a gear rack, a clamp spring and other structures; this embodiment will not be described in detail.
Referring to fig. 4, the motor 32 is fixed on a base 5, and two sides of the base 5 are respectively provided with a limiting portion 51 that can be matched with the throwing platform 1, that is, after one throwing surface 11 moves in place, the lower side of the base can abut against the limiting portion 51 to stop the throwing platform 1 from moving. Further, a cushion pad 14 capable of being matched with the limiting part 51 is arranged below the throwing surface 11; when the driven gear 13 moves to be out of the matching relation with the driving gear 32, the limiting part 51 contacts with the buffer pad 14 to prevent the throwing platform 1 from moving, and as the driving gear 32 is not matched with the driven gear 13, the driving gear 32 does not stop and does not continue to provide driving force for the throwing platform 1, so that the motor is prevented from burning out; impact is buffered through the buffer pad 14, reaction force is reduced, collision between the driven gear 13 and the driving gear 32 in the reverse direction is avoided, and service life is prolonged. The base 5 can be integrated with a control module and a power module as required; those skilled in the relevant art can set the configuration according to the need, and this embodiment will not be described in detail.
The vision sensor 21 acting on the throwing platform 1 is further arranged above the observation cover 2 provided in this embodiment, a group of vision sensors 21 are arranged above the throwing surfaces 11 on two sides in the preferred embodiment, the vision sensor 21 is used for acquiring the static image of dice inside the static observation cover 2, even directly acquiring the dice movement process and providing the static image to the user, the confidence level of the user on the result can be further improved, the final result can be acquired through the automatic identification system, the whole process does not need human participation, the labor cost and the calculation time are effectively reduced, and the errors of links such as identification, calculation, result judgment and the like caused by manual repeated labor are avoided.
A light source (not shown) acting on the throwing platform 1 may also be provided above the viewing hood 2 as required to assist the vision sensor 21 in capturing high quality images and/or video.
Dice point identification method
Based on the dice automatic throwing equipment, the embodiment further provides a dice point automatic identification method, which specifically comprises the following steps:
step A: manufacturing a regional mask;
in order to remove the influence of the background and related facilities on the recognition result, the possible areas of the dice need to be extracted, and the specific method is as follows: referring to fig. 5, a background picture without dice is obtained first, and image editing software such as Photoshop is used to select the boundary of the dice landing point area, and the inside and outside of the boundary are respectively filled into monochromatic areas with different colors; referring to fig. 6, the dice movement area inside the boundary is filled with white and the outside of the boundary is filled with black in the present embodiment; during subsequent treatment, only a white area is concerned, and the method can be understood as digging out the area in the boundary and only reserving the area outside the boundary; and saving the picture filled with the color to obtain a region mask, wherein the region mask is saved as a picture in a bmp format in the embodiment.
When the images are acquired, the range and the size of the images acquired each time are the same, and the images are acquired continuously or in fixed time or under manual control by fixing image acquisition equipment above a dice motion area; of course, the image acquisition device can be held by hand or fixed above the dice movement area in other modes to acquire the image when the image needs to be acquired; those skilled in the art will be able to select and construct a complementary hardware device as desired.
And (B) step (B): determining a dice area;
after manually or automatically rolling dice, a complete image of the dice after rest is obtained, and the area where the dice may appear needs to be determined by using colors, so that the influence of uneven illumination on a picture needs to be eliminated, if the illumination is uniform, the operation can not be performed, and the specific uneven illumination processing method is as follows:
S(x,y)=R(x,y)·L(x,y)
L(x,y)=F(x,y)*S(x,y)
Figure BDA0002421235660000051
s (x, y) is an original image, and is directly obtained from the original image, and R (x, y) is a reflectivity image, namely an image from which the influence of non-uniform illumination is removed; l (x, y) is the luminance image, F (x, y) is the smooth mean function for estimating the average luminance of the region, x is the convolution operation, and r (x, y) is the image after the non-uniform illumination effect is removed.
The brightness image L (x, y) is obtained by performing a smooth convolution operation on the original image; in practice, the specific method of convolving the original image S (x, y) with the F (x, y) of the smoothed mean function is: for each pixel point of the original image in turn, the product of its 17x17 size neighborhood pixel and the corresponding element of the convolution kernel matrix is calculated using a convolution kernel of 17x17 size with all parameters of 1/289, and then added up as the value of that pixel position.
And performing AND operation on the image from which the influence of the non-uniform illumination is removed and the stored area mask image to obtain an image of a landing area shown in fig. 7, and then extracting an area close to the color of the dice, wherein the background and the dice are preferably set to be monochromatic based on the obvious difference between the background and the color of the dice, and the background of the dice movement area is green and the dice is red in the embodiment, so that the area close to the red is extracted to obtain a rough position area possibly of the dice.
In order to more effectively prevent recognition errors caused by factors such as illumination, the embodiment also provides a method for determining the dice area based on the background area color; specifically, a background area close to the background color green is extracted from the landing area, then an inversion area of the background area, namely a non-background area, is obtained, and the inversion area of the background area and the dice rough position area are executed or operated to obtain the dice candidate area shown in fig. 8.
And then binarizing the dice candidate area to make the picture show black and white effect to obtain a highlight area, and removing the area smaller than the area of a single dice and the area larger than the total area of all dice, namely, irrelevant highlight area shown in fig. 9 to obtain the dice area shown in fig. 10. In order to avoid the influence of light reflection of other devices in the image on dice identification, the devices around the base of the dice active area are generally selected from low-gloss materials or subjected to matte treatment.
In this embodiment, the number of points of each dice needs to be obtained, so that the dice individual needs to be divided first, which specifically includes the following steps:
step i: acquiring coordinates of all points in the dice area, dividing the total area of the dice area by the area of a single dice to obtain the number k of dice corresponding to the area;
step ii: randomly selecting k points in the dice area as the centroids of k clusters, denoted as C i ,(i=1,2,3,···,k);
Step iii: calculating Euclidean distances between each remaining point and k centroid points, and dividing each point into clusters to which the centroid with the nearest Euclidean distance belongs;
step iv: calculating the average value of all points in k clusters as a new centroid;
step v: calculating the sum L of the distance deviations between the new centroids and the old centroids of the k clusters k If L k Not less than delta, returning to the step iii;
step vi: the dice area is divided into k dice individuals according to the point sets in the k clusters.
The threshold value delta is an empirical value, the smaller the threshold value delta is, the higher the division precision is, and the higher the iteration times are.
The individual drawing result of the dice shown in fig. 11 is obtained through the processing of the method.
Step C: identifying points;
the whole dice sub-area or the image area corresponding to each dice individual is subjected to binarization processing, and in the embodiment, the dice individuals are already divided, so that each dice individual is independently operated; the dice points are highlighted through binarization processing, all bright point areas are extracted, and if the difference value between the areas of the bright point areas and the areas of the dice points is larger than a threshold value, the bright point areas are eliminated, wherein the threshold value of the difference value of the areas is an empirical value, and the threshold value of the difference value of the areas is set to be 20% in the embodiment; i.e. if the area of the bright spot area exceeds 20% or less than 20% of the area of the dice dots, the bright spot is excluded;
the roundness of the preserved bright spot area is calculated,
Figure BDA0002421235660000061
wherein, L is the bright spot circumference, S is the bright spot area, and the circularity of standard circle is 3.5449, considers the error that imaging angle etc. led to, when judging the condition for C is less than or equal to 4 in this embodiment, this bright spot is dice point, and different acquisition mode angle deflection errors are different, and this numerical value can according to the appropriate adjustment of specific circumstances.
The dice points of each dice are counted to obtain the points of the dice after identification, and the dice points and/or the game results are given according to preset game rules.
According to the dice point identification method, through removing illumination errors and determining the area which is possibly the dice based on the dice color and the background color, omission caused by problems of image identification and processing technology is avoided, the area which is not the dice is removed based on the area, data processing capacity is reduced, and running speed is improved.

Claims (8)

1. A method for automatically identifying dice points by using dice automatic throwing equipment, which is characterized in that: the dice automatic throwing equipment comprises a throwing platform and an observation cover covering the throwing platform, wherein two ends of the throwing platform in the length direction are respectively lifted upwards to form two throwing surfaces of a symmetrical structure, the throwing platform is also connected with a driving mechanism, and the driving mechanism can drive the throwing platform to swing so that the two throwing surfaces are respectively close to a horizontal state; a visual sensor acting on the throwing platform is further arranged above the observation cover; a group of visual sensors acting on the corresponding throwing surfaces are arranged above the throwing surfaces on both sides; a light source acting on the throwing platform is also arranged above the observation cover;
the automatic dice point identification method by using the automatic dice throwing equipment comprises the following steps:
step A: manufacturing a regional mask;
in order to remove the influence of the background and related facilities on the recognition result, the possible areas of the dice need to be extracted, and the specific method is as follows: firstly, obtaining a background picture without dice, selecting the boundary of a dice landing point area by using image editing software, and respectively filling the inside and the outside of the boundary into monochromatic areas with different colors; filling the dice movement area in the boundary with white, and filling the dice movement area outside the boundary with black; during subsequent processing, only a white region is concerned, and a region mask is obtained by storing the picture filled with the color;
and (B) step (B): determining a dice area; after manually or automatically rolling dice, obtaining a complete image of the dice after being stationary, and because the possible areas of the dice need to be determined by using colors, the influence of uneven illumination on a picture needs to be eliminated, if the illumination is even, the operation can not be performed, and the specific uneven illumination processing method is as follows:
S(x,y)=R(x,y)·L(x,y)
L(x,y)=F(x,y)*S(x,y)
Figure FDA0004243367850000011
s (x, y) is an original image, and is directly obtained from the original image, and R (x, y) is a reflectivity image, namely an image from which the influence of non-uniform illumination is removed; l (x, y) is a luminance image, F (x, y) is a smooth mean function for estimating the average luminance of the region, x is a convolution operation, and r (x, y) is an image from which the influence of non-uniform illumination is removed;
the luminance image L (x, y) is obtained by performing a smooth convolution operation on the original image, and the specific method of performing the convolution operation on the original image S (x, y) using the F (x, y) of the smooth mean function is as follows: using convolution kernels with the size of 17x17 and all parameters of 1/289, calculating the product of the neighborhood pixel with the size of 17x17 and the corresponding element of the convolution kernel matrix for each pixel point of the original image in sequence, and adding up to obtain the value of the pixel position;
performing AND operation on the image from which the influence of the non-uniform illumination is removed and the stored area mask image, so as to obtain an image of a landing area, extracting an area which is close to the color of the dice, setting the background and the dice to be single-color based on the obvious difference between the background and the color of the dice, wherein the background of the dice movement area is green, and the dice is red, so that the area which is close to the red is extracted to obtain a rough position area possibly of the dice; extracting a background area which is green and close to a background color from a drop point area, then acquiring an inversion area of the background area, and executing or operating the inversion area of the background area and a dice coarse position area to obtain dice candidate areas;
then binarizing the dice candidate area to make the picture show black and white effect to obtain a highlight area, removing the area smaller than the area of single dice and the area larger than the total area of all dice, namely irrelevant highlight area to obtain dice area;
step C: identifying points; performing binarization processing on the dice area or each dice individual to highlight the dice points, extracting all the bright point areas, and eliminating the bright point areas if the difference between the areas of the bright point areas and the areas of the dice points is larger than a threshold value;
and calculating the roundness C of the reserved bright spot area, wherein the formula is as follows:
Figure FDA0004243367850000021
wherein L is the circumference of the bright spot, S is the area of the bright spot; if C is less than or equal to 4, the dice point is the dice point.
2. The automatic dice point identification method using the automatic dice throwing apparatus according to claim 1, wherein: after the swing of the throwing platform is stopped, the end part of the corresponding throwing surface is slightly higher than the tilting position of the throwing surface.
3. The automatic dice point identification method using the automatic dice throwing apparatus according to claim 2, wherein: when the throwing surface at one end is in a horizontal state, the maximum gap between the throwing surface at the other end and the observation cover is smaller than the minimum width of the dice.
4. The automatic dice point identification method using the automatic dice throwing apparatus according to claim 1, wherein: the rotating shaft of the throwing platform is perpendicular to the length direction of the throwing platform, and the distance from the rotating shaft to the throwing surfaces at two ends is the same and is positioned below the throwing platform.
5. The automatic dice point identification method using the automatic dice throwing apparatus according to claim 4, wherein: the driving mechanism comprises a motor, a driving gear is coaxially fixed at the power output end of the motor, and a driven gear meshed with the driving gear is arranged on the rotating shaft.
6. The automatic dice point identification method using the automatic dice throwing apparatus according to claim 5, wherein: the driving gear comprises a plurality of gears which are coaxially arranged and have different radiuses, the motor can adjust the height along the vertical direction, and the motor output shaft can axially change the extending distance.
7. The automatic dice point identification method using the automatic dice throwing apparatus according to claim 5 or 6, characterized in that: the motor is fixed on the base, limit parts are arranged on two sides of the base along the horizontal direction, and buffer cushions matched with the limit parts are arranged below throwing surfaces on two sides.
8. The automatic dice point identification method using the automatic dice throwing apparatus according to claim 7, wherein: the driven gear is a residual gear formed by a part of the whole circular gear, and the central angle of the driven gear is not smaller than the swing angle of the throwing platform.
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