WO2013051277A1 - Golf club deformation measurement system, measurement method, and measurement device - Google Patents

Golf club deformation measurement system, measurement method, and measurement device Download PDF

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Publication number
WO2013051277A1
WO2013051277A1 PCT/JP2012/006399 JP2012006399W WO2013051277A1 WO 2013051277 A1 WO2013051277 A1 WO 2013051277A1 JP 2012006399 W JP2012006399 W JP 2012006399W WO 2013051277 A1 WO2013051277 A1 WO 2013051277A1
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WIPO (PCT)
Prior art keywords
golf club
deformation
imaging device
measuring
golf
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PCT/JP2012/006399
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French (fr)
Japanese (ja)
Inventor
高尾 浩二
松永 英夫
浩正 岩出
Original Assignee
株式会社ブリヂストン
ブリヂストンスポーツ株式会社
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Application filed by 株式会社ブリヂストン, ブリヂストンスポーツ株式会社 filed Critical 株式会社ブリヂストン
Priority to US14/349,012 priority Critical patent/US20150038249A1/en
Priority to CN201280049090.2A priority patent/CN103857445B/en
Priority to JP2013537423A priority patent/JP6078470B2/en
Publication of WO2013051277A1 publication Critical patent/WO2013051277A1/en

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    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B60/00Details or accessories of golf clubs, bats, rackets or the like
    • A63B60/42Devices for measuring, verifying, correcting or customising the inherent characteristics of golf clubs, bats, rackets or the like, e.g. measuring the maximum torque a batting shaft can withstand
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V20/00Scenes; Scene-specific elements
    • G06V20/60Type of objects
    • G06V20/64Three-dimensional objects
    • G06V20/647Three-dimensional objects by matching two-dimensional images to three-dimensional objects
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V40/00Recognition of biometric, human-related or animal-related patterns in image or video data
    • G06V40/20Movements or behaviour, e.g. gesture recognition
    • G06V40/23Recognition of whole body movements, e.g. for sport training
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B2102/00Application of clubs, bats, rackets or the like to the sporting activity ; particular sports involving the use of balls and clubs, bats, rackets, or the like
    • A63B2102/32Golf
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B2220/00Measuring of physical parameters relating to sporting activity
    • A63B2220/80Special sensors, transducers or devices therefor
    • A63B2220/807Photo cameras
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B2220/00Measuring of physical parameters relating to sporting activity
    • A63B2220/80Special sensors, transducers or devices therefor
    • A63B2220/83Special sensors, transducers or devices therefor characterised by the position of the sensor
    • A63B2220/833Sensors arranged on the exercise apparatus or sports implement

Definitions

  • the present invention relates to a measurement system, a measurement method, and a measurement apparatus of deformation of a golf club at the time of golf swing.
  • the flight direction of the ball is influenced by factors such as the amount of backspin and the launch angle in the golf swing. These factors are known to be greatly affected by, for example, the movement of a golf club head (hereinafter simply referred to as a head) when the head strikes a golf ball (impact).
  • a head a golf club head
  • impact a golf ball
  • the shaft of the golf club is deformed according to the weight of the head of the golf club and the force applied from the golfer to the golf club.
  • the deformation of the golf club shaft is generally referred to as bending. This tendency is believed to have a very significant effect on the golfer in achieving the desired golf swing.
  • a method has been proposed in which a strain gauge is attached to a golf club and a strain generated on a shaft in a golf swing is measured (see, for example, Patent Document 1).
  • a strain gauge can be attached on the surface of the shaft of a golf club to measure an incursion on the shaft during a golf swing.
  • Patent Document 2 it is necessary to correct the relative positional relationship between imaging devices in order to obtain three-dimensional position coordinates of a marker. As the number of imaging devices increases, the correction naturally takes time, and it is impossible to easily measure the deformation of the golf club.
  • the deformation of the golf club at the time of the golf swing can not be easily measured for the golf swing by the golfer as usual.
  • an object of the present invention made in view of such a point is a measurement system, a measurement method and a measurement apparatus for measuring the deformation of a golf club, which can easily measure the deformation of a golf club for a golf swing by a golfer as usual. To provide.
  • a measurement system of deformation of a golf club is: A measuring system for measuring the deformation of a golf club when the golfer swings the golf club, An imaging device attached to the golf club in a direction including at least one identification feature attached to the golf club capable of identifying a position on the golf club; A measuring device that measures deformation of the golf club based on position information of the at least one identification feature acquired from an image of the golf club at the time of a swing captured by the imaging device; And the like.
  • the deformation of the golf club at the time of the usual golf swing by the golfer can be easily measured.
  • the measuring device is An image acquisition unit for acquiring an image of the golf club at the time of swing from an imaging device; A position information acquisition unit that recognizes the at least one identification feature from the acquired image and acquires position information of the recognized at least one identification feature; It is preferable to have the measurement part which measures the deformation
  • the at least one identification feature is provided on the head of the golf club.
  • Measuring the behavior of the head of the golf club and / or the bending of the shaft as the deformation of the golf club is the movement of the head and / or the bending of the shaft of the golf club be able to.
  • the imaging device is less than 90 g.
  • a method of measuring deformation of a golf club is: A measuring method for measuring the deformation of a golf club when the golfer swings the golf club, During a golf swing using a golf club having at least one identification feature that can specify a position on the golf club and an imaging device attached to a direction including the identification feature, the imaging device Obtaining an image, Acquiring an image of the golf club at the time of swing from the imaging device; Recognizing the at least one identification feature from an image captured by the imaging device, and acquiring position information of the recognized at least one identification feature; Measuring the deformation of the golf club based on the acquired position information; It is characterized by including.
  • the method of measuring the deformation of a golf club According to the method of measuring the deformation of a golf club according to the present invention, it is possible to easily measure the deformation of a golf club during a golf swing as usual by a golfer.
  • a measuring device of a golf club deformation is: A measuring device for measuring the deformation of a golf club when the golfer swings the golf club, The golf club at the time of a swing imaged by an imaging device attached to the golf club in a direction including at least one identification feature attached to the golf club that can locate the position on the golf club The deformation of the golf club is measured based on position information of the at least one identification feature acquired from an image.
  • the measuring apparatus of the deformation of the golf club According to the measuring apparatus of the deformation of the golf club according to the present invention, it is possible to easily measure the deformation of the golf club during the usual golf swing by the golfer.
  • the predetermined measurement is made based on the image of the golf swing acquired by the imaging device attached to the golf club in the direction including at least one identification feature attached to the golf club.
  • FIG. 5 is a flowchart for explaining a method of measuring deformation of a golf club according to an embodiment of the present invention. It is a figure for demonstrating the relationship of the projection surface of the imaging device shown in FIG. 1, and the head and shaft of a golf club. It is a graph which shows an example of the image of the golf club at the time of the golf swing imaged with the imaging device shown in FIG. It is a figure which shows an example of the time transition of the position of each marker in the X-axis direction on the projection plane of an imaging device.
  • FIG. 1 is a view for explaining a measurement system 1 of golf club deformation according to an embodiment of the present invention.
  • a measurement system 1 for golf club deformation shown in FIG. 1 includes a measurement device 2 and an imaging device 4 attached to the golf club 3.
  • the golf club 3 includes a shaft 5, a head 6, and a grip 7 as in a conventional golf club.
  • the imaging device 4 is attached to the shaft 5 of the golf club 3 so that the optical axis is substantially parallel to the shaft axis of the shaft 5 in a direction including identification features to be described later. .
  • the attachment position of the imaging device 4 on the shaft 5 is, for example, immediately below or in the vicinity of the grip 7 (directly in the illustrated example), a position where the golfer 8 can perform a usual golf swing.
  • the position of the imaging device 4 is less likely to be affected by the deformation of the golf club 3 during the golf swing, and an image of the golf club 3 is acquired over a wide range
  • the imaging device 4 is configured of, for example, a digital high speed camera or a wireless camera.
  • the frame rate of the camera may be 30 fps (frames per second) or less for a wireless camera, and may be more than 30 fps for a digital high-speed camera.
  • the imaging device 4 is lightweight to the extent that the golfer 8 can perform a usual golf swing using the golf club 3.
  • the weight of the imaging device 4 is preferably less than 90 g. More preferably, the imaging device 4 is 60 g or less. As shown in Table 1, when the weight of the imaging device 4 is 90 g or more, it can be seen that the head speed is significantly reduced, and when the imaging device 4 is 60 g or less, the head speed is hardly affected.
  • the weight of the imaging device 4 includes the weight of the camera body constituting the imaging device 4, the camera lens, and the member for attaching the imaging device 4 to the shaft 5.
  • the imaging device 4 when the imaging device 4 is configured by a device other than a wireless camera, wiring between the imaging device 4 and the measuring device 2 is performed so as not to obstruct the golf swing by the golfer 8. There are also times when Note that, even when the imaging device 4 is configured by a device other than a wireless camera, when the removable storage medium can be incorporated in the imaging device 4, it is not necessary to draw the wiring.
  • the golf club 3 is provided with at least one identification feature (not shown) that can identify the position on the golf club.
  • An identification feature is a feature that can be distinguished from other parts in image processing, for example, a logo mark or letters attached to the head of a commercially available golf club, and a marker as described in detail with reference to FIG. It may be M1 to M3.
  • the identification feature is applied to the golf club 3 using, for example, a reflective tape, a paint or the like. Even if it is another material, if it is the material which contrast with a surrounding pixel becomes more than predetermined value on image processing, it can be used for an identification feature.
  • the measuring device 2 is configured of, for example, a personal computer or the like including a CPU (Central Processing Unit), and includes an image acquiring unit, a position information acquiring unit, and a measuring unit (not shown). Furthermore, the measuring apparatus 2 can also be provided with a display part, and can also be comprised so that the result of having measured deformation of a golf club may be displayed on a display part.
  • the functions of the image acquisition unit, the position information acquisition unit, and the measurement unit will be described later with reference to FIG.
  • the measurement device 2 performs a measurement process on the image captured by the imaging device 4, and the golfer 8 Measure the deformation of the golf club in the golf swing.
  • the measurement method implemented in the measurement system 1 will be described in more detail.
  • FIG. 2 is a flow chart for explaining the method of measuring the deformation of the golf club according to one embodiment of the present invention.
  • an image of a golf club during a golf swing is captured by the imaging device 4 (step S01).
  • the measuring device 2 acquires an image of the golf club at the time of golf swing, for example, the head 6, from the imaging device 4 by the image acquiring unit (step S02).
  • the image of the golf club may be moving image data of any format captured by the imaging device 4.
  • the measuring device 2 extracts arbitrary image data from the moving image data captured by the imaging device 4 in step S01 by the position information acquiring unit, and recognizes and recognizes an identification feature on the head 6 for the extracted image data.
  • the position information of the identification feature is acquired (step S03).
  • the position information acquisition unit extracts the identification feature by the circle fitting method, and acquires the coordinates of the center position as position information Do.
  • the coordinates are, for example, coordinates on the virtual projection plane 10 of the imaging device 4 described later with reference to FIGS. 3 and 4.
  • the measuring device 2 measures the deformation of the golf club based on the position information acquired in step S03 using the measuring unit (step S04).
  • the measurement unit can measure at least one of the movement of the head 6 and the bending of the shaft 5.
  • the measurement unit may measure the movement of the head 6 and the bending of the shaft 5 based on the position of the head 6 with respect to the imaging device 4.
  • the measurement unit measures the position of the imaging device 4 on the projection surface 10 as the position of the head 6.
  • the measurement unit can also calculate the time transition of the position of the head 6 on the projection surface 10, and measure the movement of the head 6 and the transition of the state of the shaft 5 during the golf swing.
  • the steps S03 and S04 will be described in more detail by describing the projection surface 10 of the imaging device 4 with reference to FIGS. 3 and 4.
  • FIG. 3 is a view for explaining the relationship between the virtual projection surface 10 of the imaging device 4 shown in FIG. 1 and the head 6 and the shaft 5 of the golf club 3.
  • the projection plane 10 is a plane perpendicular to the optical axis of the imaging device 4.
  • the image pickup device 4 is attached to the shaft 5 via the attachment member 11. Is the shaft 5 of the portion to which the image pickup device 4 is attached less rigid than the head 6 and the portion of the shaft 5 near the head 6? There is virtually no risk.
  • the optical axis of the imaging device 4 and the shaft axis are parallel to each other, the shaft axis of the shaft 5 and the projection plane 10 are perpendicular to each other when no bending occurs.
  • the shaft axis and the projection surface 10 are not perpendicular.
  • Positional coordinates of the markers M1 to M3 on the head 6 in the projection plane 10 are represented by pixel positions corresponding to coordinate values of the X axis and the Y axis described at the lower left in FIG.
  • the Z axis is an axis parallel to the optical axis of the imaging device 4.
  • the bends of the shafts 5a and 5b are shown exaggeratingly, and the actually occurring bends are often smaller than shown.
  • FIG. 4 is a graph showing an example of an image of a golf club during a golf swing acquired from the imaging device 4 shown in FIG.
  • the positions of the shaft 5 and the head 6 shown in the figure are the positions immediately before the impact at which the head 6 strikes the golf ball 9.
  • markers M1 to M3 which are identification features are attached.
  • there may be at least one identification feature and it is of course possible to arrange three markers as shown, or arrange a plurality of markers in different manners.
  • Markers M4 to M6 indicated by broken lines in the figure respectively correspond to the positions of the markers M1 to M3 at the start of the golf swing.
  • step S03 the position information acquiring unit of the measuring device 2 acquires the position information of each of the markers M1 to M3 as pixel coordinates with the lower left on the XY plane as the projection plane as the origin (0, 0).
  • the position information of each of the markers M1 to M3 on the projection plane 10 is the relative position of the head 6 with respect to the imaging device 4.
  • step S04 the measurement unit of the measurement device 2 can measure the curvature of the shaft 5 reflected in the relative position of the head 6 to the imaging device 4. Furthermore, by performing the same measurement using the golf club 3 having an arbitrary number of markers attached on the shaft 5, the aspect of the bending amount and the bending of the shaft 5 can be measured in more detail.
  • the measuring unit corresponds to a straight line connecting markers M4 and M5 (hereinafter referred to as M4-M5 line), which corresponds to the rotation behavior of the head 6 corresponding to the face direction of the head 6 at the beginning of the golf swing. It can be measured by calculating the angle formed by the straight line connecting M1 and M2 (hereinafter referred to as M1-M2 line). In this manner, the rotational behavior of the head 6 can be measured as a relative angle with respect to the face direction at the start of the golf swing of the head 6 at each point in time of the golf swing. Furthermore, it is considered that the twisting of the shaft can also be calculated using a predetermined model from the rotational behavior of the head.
  • the measuring unit of the measuring device 2 can also obtain time transition of position information on the projection plane 10 of each of the markers M1 to M3 acquired by the position information acquiring unit as shown in FIG.
  • FIG. 5 is a view showing the time transition of the positions of the markers M1 to M3 in the X-axis direction on the projection plane 10 of the imaging device 4.
  • the horizontal axis indicates time (ms)
  • the vertical axis indicates the position (pixels) of each marker in the X-axis direction on the projection plane 10 of the imaging device.
  • the point in time (ms) is 0 is an impact point at which the head 6 strikes the golf ball 9.
  • the markers M1 to M3 of the head 6 shift the position in the projection plane X axis direction to the left and right with a similar tendency toward the impact time point. More specifically, the markers M1 to M3 of the head 6 move leftward on the projection surface 10 in the X-axis direction immediately after the start of the golf swing, and then gradually move to the X-axis right on the projection surface 10 gradually. It moves in the direction, and moves to the left of the X axis on the projection surface 10 just before the impact, and reaches the point of impact.
  • FIG. 6 is a diagram showing the time transition of the position of each of the markers M1 to M3 in the Y-axis direction on the projection plane of the imaging device 4.
  • the horizontal axis indicates time (ms)
  • the vertical axis indicates the position (pixels) of each marker in the Y-axis direction on the projection plane 10 of the imaging device.
  • the point in time (ms) is 0 is an impact point at which the head 6 strikes the golf ball 9. From this figure, it can be seen that the markers M1 to M3 of the head 6 vertically shift the position in the projection plane Y-axis direction with a similar tendency toward the point of impact.
  • the markers M1 to M3 of the head 6 swing up and down in the Y-axis direction on the projection surface 10 immediately after the start of the golf swing, then move rapidly in the Y-axis direction, and then halfway After dropping gently to the bottom, it drops sharply toward the impact.
  • the present embodiment it is possible to measure the deformation of the golf club 3 reflected in the movement of the head 6. Furthermore, according to the present embodiment, it is also possible to obtain information of the locus on the projection surface 10 of the marker M1 on the head 6 in the golf swing as shown in FIG.
  • the diamond marks shown on the plot of FIG. 7 indicate the impact.
  • the locus of the marker M1 on the projection surface 10 of the imaging device 4 indicates how much the head 6 is displaced relative to the imaging device 4.
  • the factor that contributes the most to the relative displacement of the head 6 with respect to the imaging device 4 is considered to be the tendency of the shaft 5 among the deformation of the golf club 3. Therefore, from the locus of the marker M1 as shown in FIG. 7, the bending of the shaft 5 at the time of golf swing can be measured.
  • the rotational behavior of the head can be measured as shown in FIG.
  • This rotational behavior includes, for example, rotation in the toe-down direction, which is the direction in which the head 6 moves away from the shaft axis, and rotation in the striking direction about the shaft.
  • the vertical axis represents relative angle
  • the horizontal axis represents time (ms).
  • the relative angles are the M1-M2 line and the M1-M3 line in the golf swing with respect to the M4-M5 line corresponding to the M1-M2 line at the start of the golf swing and the M4-M6 line corresponding to the M1-M3 line. Indicates the angle that each line makes. The plus indicates the rotation angle in the launch direction, and the minus indicates the rotation angle in the opposite direction.
  • the solid line represents the time transition of the angle formed by the M1-M2 line of the head 6 with the M4-M5 line.
  • the broken line shows the time transition of the angle that the M1-M3 line makes with the M4-M6 line.
  • the change of the solid line is larger than the change of the broken line. This is considered to be due to bending of the shaft 5 as the head 6 moves in a so-called toe-down direction (direction in which the head 6 moves away from the shaft axis) during a golf swing.
  • the method according to the present embodiment does not need to use a plurality of imaging devices to measure the deformation of the golf club by the golfer 8, and can easily measure the movement of the head 6 during the golf swing. .
  • FIG.5, FIG.6, FIG.8 although the data regarding the motion of the head at the time of a golf swing and bending of a shaft were shown as time-lapse data, these can be acquired only as time-lapse data Absent. For example, it is also possible to obtain each data at any one time point of interest, such as at the time of impact.
  • the deformation of the golf club 3 can be determined, for example, as a displacement from the state of the golf club 3 in a state where no deformation has occurred.
  • FIGS. 9A to 9C show trajectories on the projection surface 10 of the marker M1 on the head 6 at the time of golf swing, as in FIG. Similar to FIG. 8, the measurement results shown in FIGS. 10A to 10C show the temporal transition of the relative angle of the head 6 at the time of the golf swing with respect to the initial position of the head 6.
  • the phase of the golf swing is divided into a backswing (solid line), a downswing (broken line), and a follow through (dotted line).
  • an imaging device for imaging the entire golf swing by the golfer 8 separately from the imaging device 4 or by providing the golf club 3 with a gyro sensor, it is possible to distinguish the phase of the golf swing. As described above, by distinguishing the phases of the golf swing, it becomes possible to compare and evaluate the measurement results of different types of golf swings for each phase.
  • the measurement results of each subject are different from each other. Therefore, it is considered that selection and development of a golf club suitable for each subject can be supported by determining the feature amount to be compared and the feature amount to be an index, and comparing and classifying the measurement results.
  • the golfer 8 is shown as a human, but according to the present invention, it is also possible to easily measure the deformation of the golf club at the time of the golf swing by the golfer of the robot.
  • the robot's golfer can swing under certain conditions, and can easily determine, for example, the homogeneity of the characteristics among many products of the same specification.

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Abstract

Provided is a golf club deformation measurement system with which it is possible to easily measure golf club deformation for a golfer's normal golf swing. A measurement system (1) according to the present invention comprises: an image capture device (4) which is attached to a golf club (3) toward a direction which includes at least one identification feature which is attached to the golf club (3), the location whereof on the golf club (3) can be identified; and a measurement device (2) which measures the deformation of the golf club on the basis of the location information of at least one of the identification features which are acquired from an image of the golf club swing which is captured with the image capture device (4).

Description

ゴルフクラブの変形の計測システム、計測方法及び計測装置MEASUREMENT SYSTEM, MEASUREMENT METHOD, AND MEASUREMENT DEVICE OF GOLF CLUB DEFORMATION
 本発明は、ゴルフスイング時のゴルフクラブの変形の計測システム、計測方法及び計測装置に関するものである。 The present invention relates to a measurement system, a measurement method, and a measurement apparatus of deformation of a golf club at the time of golf swing.
 一般的に、ゴルファがボールを真直ぐに飛ばすことを意図して、ゴルフクラブをスイングして、ゴルフボールを打撃した(ショットした)場合に、ゴルフボールの飛行方向が比較的真直ぐであり、曲がらない(曲がりにくい)ことが望ましい。特に、各ゴルファが、適切なゴルフクラブを用いることで、そのような望ましいショットが比較的容易に可能となりうる。しかしながら、実際にゴルファが店頭に行って、自分に合ったゴルフクラブを選定することは容易ではない。 Generally, when a golfer swings a golf club and strikes (shots) a golf ball with the intention of causing a golfer to fly the ball straight, the flight direction of the golf ball is relatively straight and does not bend. (It is hard to bend) is desirable. In particular, each golfer may make such a desirable shot relatively easy by using an appropriate golf club. However, it is not easy for a golfer to actually go to the store and select a golf club that suits them.
 ところで、ボールの飛行方向は、ゴルフスイングにおけるバックスピン量や打ち出し角等の要因に影響される。これらの要因は、例えば、ゴルフクラブヘッド(以下、単にヘッドと称する)がゴルフボールを打撃する際(インパクト)の、ヘッドの動きに大きく影響を受けることが知られている。また、ゴルファによるゴルフスイング中には、ゴルフクラブのヘッドの重みや、ゴルフクラブにゴルファから加えられる力に応じて、ゴルフクラブのシャフトが変形する。ゴルフクラブのシャフトがしなるように変形することは、一般的に「しなり」と呼ばれる。このしなりは、ゴルファが望ましいゴルフスイングを実現する上で非常に大きな影響を及ぼすと考えられている。 By the way, the flight direction of the ball is influenced by factors such as the amount of backspin and the launch angle in the golf swing. These factors are known to be greatly affected by, for example, the movement of a golf club head (hereinafter simply referred to as a head) when the head strikes a golf ball (impact). In addition, during the golf swing by the golfer, the shaft of the golf club is deformed according to the weight of the head of the golf club and the force applied from the golfer to the golf club. The deformation of the golf club shaft is generally referred to as bending. This tendency is believed to have a very significant effect on the golfer in achieving the desired golf swing.
 そこで、従来、ゴルフクラブに対して歪みゲージを取り付けてゴルフスイング中のシャフトに生じる歪みを計測する方法が提案されてきた(例えば、特許文献1参照)。特許文献1に記載の方法では、ゴルフクラブのシャフトの表面上に歪みゲージを取り付け、ゴルフスイング中にシャフトに生じるしなりを計測することができる。 Therefore, conventionally, a method has been proposed in which a strain gauge is attached to a golf club and a strain generated on a shaft in a golf swing is measured (see, for example, Patent Document 1). In the method described in Patent Document 1, a strain gauge can be attached on the surface of the shaft of a golf club to measure an incursion on the shaft during a golf swing.
 さらに、従来、ゴルファによるゴルフスイング時に変形するシャフトの形状を計測するために、多数のマーカーを施したゴルフクラブを用いたゴルフスイングを複数台の撮像装置で撮影し、モーションキャプチャーによりマーカーの3次元座標を測定する方法が提案されてきた(例えば、特許文献2参照)。特許文献2に記載のシステムでは、測定した3次元座標からゴルフスイング時のシャフトの形状を曲線近似して可視化することができる。 Furthermore, conventionally, in order to measure the shape of a shaft deformed at the time of golf swing by a golfer, a golf swing using a golf club provided with a large number of markers is photographed by a plurality of imaging devices, and three-dimensional markers are obtained by motion capture. A method of measuring coordinates has been proposed (see, for example, Patent Document 2). In the system described in Patent Document 2, the shape of the shaft at the time of golf swing can be approximated by curve approximation from the measured three-dimensional coordinates.
鳴尾丈司他、「ゴルフシャフトのフレックスに関する研究」、ジョイント・シンポジウム スポーツ工学シンポジウム・シンポジウム:ヒューマン・ダイナミクス講演論文集、日本機械学会、1995年、No.95-45Takeshi Naruo et al., "Studies on Flex in Golf Shaft", Joint Symposium Sports Engineering Symposium / Symposium: Proceedings of Human Dynamics Conference, The Japan Society of Mechanical Engineers, 1995, No. 95-45 特開2011-183090号公報JP, 2011-183090, A
 しかしながら、特許文献1に記載のような方法で、ゴルフクラブの全体的なしなりの情報を取得するためには、多数の歪みゲージをシャフトに取り付けることが必要になるが、この場合、歪みゲージに対する配線が増加し、ゴルファが普段通りのゴルフスイングを行うことが困難になってしまう。 However, in order to obtain information on the overall tendency of a golf club in a manner as described in Patent Document 1, it is necessary to attach a large number of strain gauges to a shaft. Wiring increases, making it difficult for the golfer to perform the usual golf swing.
 一方、特許文献2に記載の方法では、マーカーについて三次元位置座標を取得するために撮像装置間の相対的な位置関係を補正する必要がある。撮像装置の台数が多くなるほど、当然補正に時間がかかり、ゴルフクラブの変形の計測を簡易に行うことはできない。 On the other hand, in the method described in Patent Document 2, it is necessary to correct the relative positional relationship between imaging devices in order to obtain three-dimensional position coordinates of a marker. As the number of imaging devices increases, the correction naturally takes time, and it is impossible to easily measure the deformation of the golf club.
 このように、従来の方法及びシステムでは、ゴルファによる普段通りのゴルフスイングについて、ゴルフスイング時のゴルフクラブの変形を簡易に計測することはできなかった。 As described above, in the conventional method and system, the deformation of the golf club at the time of the golf swing can not be easily measured for the golf swing by the golfer as usual.
 そこで、かかる点に鑑みてなされた本発明の目的は、ゴルファによる普段通りのゴルフスイングについて、ゴルフクラブの変形を簡易に計測することができる、ゴルフクラブの変形の計測システム、計測方法及び計測装置を提供することである。 Therefore, an object of the present invention made in view of such a point is a measurement system, a measurement method and a measurement apparatus for measuring the deformation of a golf club, which can easily measure the deformation of a golf club for a golf swing by a golfer as usual. To provide.
 上記目的を達成するため、本発明によるゴルフクラブの変形の計測システムは、
 ゴルファがゴルフクラブをスイングする際のゴルフクラブの変形を計測する計測システムであって、
 前記ゴルフクラブ上の位置を特定できる前記ゴルフクラブに取り付けられた少なくとも1つの識別特徴を含む方向に向けて、前記ゴルフクラブに対して取り付けられた撮像装置と、
 前記撮像装置により撮像されたスイング時の前記ゴルフクラブの画像から取得した前記少なくとも1つの識別特徴の位置情報に基づいて、前記ゴルフクラブの変形を計測する計測装置と、
を備えることを特徴とするものである。
In order to achieve the above object, a measurement system of deformation of a golf club according to the present invention is:
A measuring system for measuring the deformation of a golf club when the golfer swings the golf club,
An imaging device attached to the golf club in a direction including at least one identification feature attached to the golf club capable of identifying a position on the golf club;
A measuring device that measures deformation of the golf club based on position information of the at least one identification feature acquired from an image of the golf club at the time of a swing captured by the imaging device;
And the like.
 本発明によるゴルフクラブの変形の計測システムによれば、ゴルファによる普段通りのゴルフスイング時におけるゴルフクラブの変形を簡易に計測することができる。 According to the measurement system of the deformation of the golf club according to the present invention, the deformation of the golf club at the time of the usual golf swing by the golfer can be easily measured.
 また、本発明によるゴルフクラブの変形の計測システムにおいては、
 前記計測装置は、
 撮像装置からスイング時の前記ゴルフクラブの画像を取得する画像取得部と、
 取得された前記画像から前記少なくとも1つの識別特徴を認識し、認識された前記少なくとも1つの識別特徴の位置情報を取得する位置情報取得部と、
 取得された前記位置情報に基づいて前記ゴルフクラブの変形を計測する計測部と、を有することが好ましい。
Further, in the golf club deformation measurement system according to the present invention,
The measuring device is
An image acquisition unit for acquiring an image of the golf club at the time of swing from an imaging device;
A position information acquisition unit that recognizes the at least one identification feature from the acquired image and acquires position information of the recognized at least one identification feature;
It is preferable to have the measurement part which measures the deformation | transformation of the said golf club based on the acquired said positional information.
 この構成によれば、ゴルフスイング時のゴルフクラブの変形を計測装置に含まれる各機能部によって簡易に計測することができる。 According to this configuration, it is possible to easily measure the deformation of the golf club at the time of golf swing by the respective functional units included in the measuring device.
 また、本発明によるゴルフクラブの変形の計測システムにおいては、
 前記少なくとも1つの識別特徴を、前記ゴルフクラブのヘッド上に備えることが好ましい。
Further, in the golf club deformation measurement system according to the present invention,
Preferably, the at least one identification feature is provided on the head of the golf club.
 この構成よれば、ゴルフクラブのヘッドの動き及び/又はヘッドの動きに反映されるシャフトのしなりを計測することができる。 According to this configuration, it is possible to measure the movement of the head of the golf club and / or the bending of the shaft that is reflected in the movement of the head.
 また、本発明によるゴルフクラブの変形の計測システムにおいては、
 前記ゴルフクラブの変形が、前記ゴルフクラブのヘッドの動き及びシャフトのしなりの双方又はいずれか一方であることとして、ゴルフクラブのヘッドの挙動及びシャフトのしなりの双方又はいずれか一方を計測することができる。
Further, in the golf club deformation measurement system according to the present invention,
Measuring the behavior of the head of the golf club and / or the bending of the shaft as the deformation of the golf club is the movement of the head and / or the bending of the shaft of the golf club be able to.
 また、本発明によるゴルフクラブの変形の計測システムにおいては、前記撮像装置が90g未満であることが好ましい。 In the golf club deformation measuring system according to the present invention, preferably, the imaging device is less than 90 g.
 この構成によれば、スイング時のヘッドスピードを著しく低下させることないため、普段通りのヘッドスピードの影響が反映されたゴルフクラブの変形を計測することができる。 According to this configuration, it is possible to measure the deformation of the golf club on which the influence of the usual head speed is reflected, since the head speed at the time of swing is not significantly reduced.
 上記目的を達成するため、本発明によるゴルフクラブの変形の計測方法は、
 ゴルファがゴルフクラブをスイングする際のゴルフクラブの変形を計測する計測方法であって、
 前記ゴルフクラブ上の位置を特定できる少なくとも1つの識別特徴と、該識別特徴を含む方向に向けて取り付けられた撮像装置とを有するゴルフクラブを用いたゴルフスイング時に、前記撮像装置により前記ゴルフクラブの画像を取得するステップと、
 前記撮像装置からスイング時の前記ゴルフクラブの画像を取得するステップと、
 前記撮像装置により撮像された画像から前記少なくとも1つの識別特徴を認識し、認識された前記少なくとも1つの識別特徴の位置情報を取得するステップと、
 取得された前記位置情報に基づいて前記ゴルフクラブの変形を計測するステップと、
を含むことを特徴とするものである。
In order to achieve the above object, a method of measuring deformation of a golf club according to the present invention is:
A measuring method for measuring the deformation of a golf club when the golfer swings the golf club,
During a golf swing using a golf club having at least one identification feature that can specify a position on the golf club and an imaging device attached to a direction including the identification feature, the imaging device Obtaining an image,
Acquiring an image of the golf club at the time of swing from the imaging device;
Recognizing the at least one identification feature from an image captured by the imaging device, and acquiring position information of the recognized at least one identification feature;
Measuring the deformation of the golf club based on the acquired position information;
It is characterized by including.
 本発明によるゴルフクラブの変形の計測方法によれば、ゴルファによる普段通りのゴルフスイング時におけるゴルフクラブの変形を簡易に計測することができる。 According to the method of measuring the deformation of a golf club according to the present invention, it is possible to easily measure the deformation of a golf club during a golf swing as usual by a golfer.
 上記目的を達成するため、本発明によるゴルフクラブの変形の計測装置は、
 ゴルファがゴルフクラブをスイングする際のゴルフクラブの変形を計測する計測装置であって、
 前記ゴルフクラブ上の位置を特定できる前記ゴルフクラブに取り付けられた少なくとも1つの識別特徴を含む方向に向けて、前記ゴルフクラブに対して取り付けられた撮像装置により撮像されたスイング時の前記ゴルフクラブの画像から取得した、前記少なくとも1つの識別特徴の位置情報に基づいて、前記ゴルフクラブの変形を計測することを特徴とするものである。
In order to achieve the above object, a measuring device of a golf club deformation according to the present invention is:
A measuring device for measuring the deformation of a golf club when the golfer swings the golf club,
The golf club at the time of a swing imaged by an imaging device attached to the golf club in a direction including at least one identification feature attached to the golf club that can locate the position on the golf club The deformation of the golf club is measured based on position information of the at least one identification feature acquired from an image.
 本発明によるゴルフクラブの変形の計測装置によれば、ゴルファによる普段通りのゴルフスイング時におけるゴルフクラブの変形を簡易に計測することができる。 According to the measuring apparatus of the deformation of the golf club according to the present invention, it is possible to easily measure the deformation of the golf club during the usual golf swing by the golfer.
 本発明によれば、ゴルフクラブに取り付けられた少なくとも1つの識別特徴を含む方向に向けて、当該ゴルフクラブに対して取り付けられた撮像装置により取得されたゴルフスイングの画像に基づいて所定の計測を行うことにより、ゴルファによる普段通りのゴルフスイング時におけるゴルフクラブの変形を簡易に計測することができる。 According to the present invention, the predetermined measurement is made based on the image of the golf swing acquired by the imaging device attached to the golf club in the direction including at least one identification feature attached to the golf club. By doing this, it is possible to easily measure the deformation of the golf club during the usual golf swing by the golfer.
本発明の一実施の形態によるゴルフクラブの変形の計測システムを説明するための図である。It is a figure for demonstrating the measuring system of the deformation | transformation of the golf club by one embodiment of this invention. 本発明の一実施の形態によるゴルフクラブの変形の計測方法を説明するためのフローチャートである。5 is a flowchart for explaining a method of measuring deformation of a golf club according to an embodiment of the present invention. 図1に示す撮像装置の投影面と、ゴルフクラブのヘッド及びシャフトとの関係を説明するための図である。It is a figure for demonstrating the relationship of the projection surface of the imaging device shown in FIG. 1, and the head and shaft of a golf club. 図1に示す撮像装置によって撮像したゴルフスイング時のゴルフクラブの画像の一例を示すグラフである。It is a graph which shows an example of the image of the golf club at the time of the golf swing imaged with the imaging device shown in FIG. 撮像装置の投影面上でのX軸方向における各マーカーの位置の時間推移の一例を示す図である。It is a figure which shows an example of the time transition of the position of each marker in the X-axis direction on the projection plane of an imaging device. 撮像装置の投影面上でのY軸方向における各マーカーの位置の時間推移の一例を示す図である。It is a figure which shows an example of the time transition of the position of each marker in the Y-axis direction on the projection plane of an imaging device. ゴルフスイング時のヘッド上のマーカーの投影面上での軌跡の一例を示す図である。It is a figure which shows an example of the locus | trajectory on the projection surface of the marker on the head at the time of a golf swing. ヘッドの初期位置に対するゴルフスイング時のヘッドの相対角度の時間推移の一例を示す図である。It is a figure which shows an example of the time transition of the relative angle of the head at the time of a golf swing with respect to the initial position of a head. ゴルフスイング時のヘッド上のマーカーの投影面上での軌跡の一例を示す図である。It is a figure which shows an example of the locus | trajectory on the projection surface of the marker on the head at the time of a golf swing. ゴルフスイング時のヘッド上のマーカーの投影面上での軌跡の一例を示す図である。It is a figure which shows an example of the locus | trajectory on the projection surface of the marker on the head at the time of a golf swing. ゴルフスイング時のヘッド上のマーカーの投影面上での軌跡の一例を示す図である。It is a figure which shows an example of the locus | trajectory on the projection surface of the marker on the head at the time of a golf swing. ヘッドの初期位置に対するゴルフスイング時のヘッドの相対角度の時間推移の一例を示す図である。It is a figure which shows an example of the time transition of the relative angle of the head at the time of a golf swing with respect to the initial position of a head. ヘッドの初期位置に対するゴルフスイング時のヘッドの相対角度の時間推移の一例を示す図である。It is a figure which shows an example of the time transition of the relative angle of the head at the time of a golf swing with respect to the initial position of a head. ヘッドの初期位置に対するゴルフスイング時のヘッドの相対角度の時間推移の一例を示す図である。It is a figure which shows an example of the time transition of the relative angle of the head at the time of a golf swing with respect to the initial position of a head.
 以下、本発明による一実施形態のゴルフクラブの変形の計測システム、計測方法及び計測装置について図面を参照して説明する。 Hereinafter, a measurement system, a measurement method, and a measurement apparatus of deformation of a golf club according to an embodiment of the present invention will be described with reference to the drawings.
 図1は、本発明の一実施の形態によるゴルフクラブの変形の計測システム1を説明するための図である。図1に示すゴルフクラブの変形の計測システム1は、計測装置2及びゴルフクラブ3に取り付けられた撮像装置4を備える。ゴルフクラブ3は、通常のゴルフクラブと同様に、シャフト5、ヘッド6、及びグリップ7を備える。 FIG. 1 is a view for explaining a measurement system 1 of golf club deformation according to an embodiment of the present invention. A measurement system 1 for golf club deformation shown in FIG. 1 includes a measurement device 2 and an imaging device 4 attached to the golf club 3. The golf club 3 includes a shaft 5, a head 6, and a grip 7 as in a conventional golf club.
 撮像装置4は、後述する識別特徴を含む方向に向けて、好ましくは、光軸がシャフト5のシャフト軸に対して略平行になるように、ゴルフクラブ3のシャフト5に対して取り付けられている。撮像装置4のシャフト5上での取り付け位置は、例えば、グリップ7の直下又は近傍(図示の例では直下)であり、ゴルファ8が普段通りのゴルフスイングを行うことが可能な位置である。このような位置に撮像装置4を取り付けることで、撮像装置4の位置がゴルフスイング時のゴルフクラブ3の変形の影響を受けることが少ないという利点や、広範囲にわたってゴルフクラブ3の画像を取得することができるという利点が生じる。撮像装置4の光軸がシャフト軸に対して平行ではない場合であっても、ゴルフスイングを通じてヘッド6の識別特徴(図示しない)を撮像できる範囲であれば構わない。 The imaging device 4 is attached to the shaft 5 of the golf club 3 so that the optical axis is substantially parallel to the shaft axis of the shaft 5 in a direction including identification features to be described later. . The attachment position of the imaging device 4 on the shaft 5 is, for example, immediately below or in the vicinity of the grip 7 (directly in the illustrated example), a position where the golfer 8 can perform a usual golf swing. By attaching the imaging device 4 to such a position, the position of the imaging device 4 is less likely to be affected by the deformation of the golf club 3 during the golf swing, and an image of the golf club 3 is acquired over a wide range The advantage of being able to Even if the optical axis of the imaging device 4 is not parallel to the shaft axis, it does not matter as long as the identification feature (not shown) of the head 6 can be imaged through the golf swing.
 撮像装置4は、例えば、ディジタルハイスピードカメラや無線カメラにより構成される。カメラのフレームレートは、無線カメラであれば、30fps(frames per second)以下であり、ディジタルハイスピードカメラであれば、30fps超でありうる。撮像装置4は、ゴルファ8がゴルフクラブ3を用いて普段通りのゴルフスイングを行うことが可能な程度に軽量である。具体的には、撮像装置4の重量は、90g未満であることが好ましい。更に好ましくは、撮像装置4は、60g以下である。表1に示すように、撮像装置4の重量は、90g以上であれば、ヘッドスピードが著しく低下するし、撮像装置4が60g以下であれば、ヘッドスピードにほとんど影響が生じないことがわかる。撮像装置4が90gの場合のスピード低下率未満であれば、実際の測定に十分に用いることが可能である。このため、ヘッドスピードの影響が反映された、より実際の状態に近い、ゴルフクラブの変形を計測することが可能になる。尚、撮像装置4の重量は、撮像装置4を構成するカメラ本体、カメラレンズ、及び撮像装置4をシャフト5に対して取り付ける部材の重量が含まれるものとする。 The imaging device 4 is configured of, for example, a digital high speed camera or a wireless camera. The frame rate of the camera may be 30 fps (frames per second) or less for a wireless camera, and may be more than 30 fps for a digital high-speed camera. The imaging device 4 is lightweight to the extent that the golfer 8 can perform a usual golf swing using the golf club 3. Specifically, the weight of the imaging device 4 is preferably less than 90 g. More preferably, the imaging device 4 is 60 g or less. As shown in Table 1, when the weight of the imaging device 4 is 90 g or more, it can be seen that the head speed is significantly reduced, and when the imaging device 4 is 60 g or less, the head speed is hardly affected. If it is less than the speed reduction rate when the imaging device 4 is 90 g, it can be sufficiently used for actual measurement. For this reason, it is possible to measure the deformation of the golf club closer to the actual state in which the influence of the head speed is reflected. The weight of the imaging device 4 includes the weight of the camera body constituting the imaging device 4, the camera lens, and the member for attaching the imaging device 4 to the shaft 5.
Figure JPOXMLDOC01-appb-T000001
Figure JPOXMLDOC01-appb-T000001
 図1には示さないが、撮像装置4が無線カメラ以外の装置で構成される場合には、撮像装置4と計測装置2との間には、ゴルファ8によるゴルフスイングの障害とならないように配線を引き回すこともある。なお、撮像装置4が無線カメラ以外の装置で構成される場合であっても、撮像装置4に着脱可能な記憶媒体が内蔵可能な場合には、必ずしも配線を引き回す必要は無い。 Although not shown in FIG. 1, when the imaging device 4 is configured by a device other than a wireless camera, wiring between the imaging device 4 and the measuring device 2 is performed so as not to obstruct the golf swing by the golfer 8. There are also times when Note that, even when the imaging device 4 is configured by a device other than a wireless camera, when the removable storage medium can be incorporated in the imaging device 4, it is not necessary to draw the wiring.
 ゴルフクラブ3には、ゴルフクラブ上の位置を特定できる少なくとも1つの識別特徴(図示しない)が付されている。識別特徴とは、画像処理において他の部分から区別可能な特徴をいい、例えば、市販のゴルフクラブのヘッドに付されているロゴマークや文字、及び図4を参照して詳述するようなマーカーM1~M3であり得る。識別特徴は、例えば、反射テープやペンキ等を用いてゴルフクラブ3に付される。このほかの素材であっても、画像処理上で周囲の画素とのコントラストが所定値以上となるような素材であれば、識別特徴に使用することができる。 The golf club 3 is provided with at least one identification feature (not shown) that can identify the position on the golf club. An identification feature is a feature that can be distinguished from other parts in image processing, for example, a logo mark or letters attached to the head of a commercially available golf club, and a marker as described in detail with reference to FIG. It may be M1 to M3. The identification feature is applied to the golf club 3 using, for example, a reflective tape, a paint or the like. Even if it is another material, if it is the material which contrast with a surrounding pixel becomes more than predetermined value on image processing, it can be used for an identification feature.
 計測装置2は、例えば、CPU(Central Processing Unit)を備えるパーソナルコンピュータ等により構成され、画像取得部、位置情報取得部及び計測部(図示しない)を備える。さらに、計測装置2は、表示部を備えることもでき、ゴルフクラブの変形を計測した結果を表示部に表示するように構成することもできる。画像取得部、位置情報取得部及び計測部の機能については、図2を参照して後述する。 The measuring device 2 is configured of, for example, a personal computer or the like including a CPU (Central Processing Unit), and includes an image acquiring unit, a position information acquiring unit, and a measuring unit (not shown). Furthermore, the measuring apparatus 2 can also be provided with a display part, and can also be comprised so that the result of having measured deformation of a golf club may be displayed on a display part. The functions of the image acquisition unit, the position information acquisition unit, and the measurement unit will be described later with reference to FIG.
 計測システム1は、ゴルファ8がゴルフクラブ3を用いてゴルフボール9を打ち出すためにゴルフスイングを行うにあたり、撮像装置4により撮像した画像について計測装置2にて計測処理を実施して、ゴルファ8によるゴルフスイングにおけるゴルフクラブの変形を計測する。以下、図2を参照して、計測システム1において実施される計測方法について更に詳細に説明する。 In the measurement system 1, when the golfer 8 performs a golf swing to launch the golf ball 9 using the golf club 3, the measurement device 2 performs a measurement process on the image captured by the imaging device 4, and the golfer 8 Measure the deformation of the golf club in the golf swing. Hereinafter, with reference to FIG. 2, the measurement method implemented in the measurement system 1 will be described in more detail.
 図2は、本発明の一実施の形態によるゴルフクラブの変形の計測方法を説明するためのフローチャートである。先ず、撮像装置4によりゴルフスイング時のゴルフクラブの画像を撮像する(ステップS01)。その後、計測装置2は、画像取得部により、撮像装置4からゴルフスイング時のゴルフクラブ、例えば、ヘッド6の画像を取得する(ステップS02)。このゴルフクラブの画像は、撮像装置4により撮像された任意の形式の動画データであり得る。 FIG. 2 is a flow chart for explaining the method of measuring the deformation of the golf club according to one embodiment of the present invention. First, an image of a golf club during a golf swing is captured by the imaging device 4 (step S01). After that, the measuring device 2 acquires an image of the golf club at the time of golf swing, for example, the head 6, from the imaging device 4 by the image acquiring unit (step S02). The image of the golf club may be moving image data of any format captured by the imaging device 4.
 計測装置2は、位置情報取得部により、ステップS01で撮像装置4により撮像された動画データから任意の画像データを抽出し、抽出した画像データについて、ヘッド6上の識別特徴を認識し、認識した識別特徴の位置情報を取得する(ステップS03)。例えば、識別特徴が図4にマーカーM1~M3として示すように円状である場合には、位置情報取得部は、サークルフィッティング法によって識別特徴を抽出し、その中心位置の座標を位置情報として取得する。ここで、座標は、例えば図3及び図4を参照して後述する撮像装置4の仮想の投影面10における座標である。 The measuring device 2 extracts arbitrary image data from the moving image data captured by the imaging device 4 in step S01 by the position information acquiring unit, and recognizes and recognizes an identification feature on the head 6 for the extracted image data. The position information of the identification feature is acquired (step S03). For example, when the identification feature is circular as shown as markers M1 to M3 in FIG. 4, the position information acquisition unit extracts the identification feature by the circle fitting method, and acquires the coordinates of the center position as position information Do. Here, the coordinates are, for example, coordinates on the virtual projection plane 10 of the imaging device 4 described later with reference to FIGS. 3 and 4.
 計測装置2は、計測部を用いて、ステップS03にて取得した位置情報に基づいてゴルフクラブの変形を計測する(ステップS04)。具体的には、計測部は、ヘッド6の動き及びシャフト5のしなりのうち少なくとも一方を計測することができる。さらには、計測部は、撮像装置4に対するヘッド6の位置に基づいて、ヘッド6の動き及びシャフト5のしなりを計測しても良い。このとき、計測部は、ヘッド6の位置として、撮像装置4の投影面10上での位置を計測する。さらに、計測部は、投影面10上でのヘッド6の位置の時間推移を求めて、ゴルフスイング中におけるヘッド6の動き及びシャフト5のしなりの状態推移を計測することもできる。以下、図3及び図4を参照して、撮像装置4の投影面10について説明することにより、上記ステップS03及びS04についてさらに詳述する。 The measuring device 2 measures the deformation of the golf club based on the position information acquired in step S03 using the measuring unit (step S04). Specifically, the measurement unit can measure at least one of the movement of the head 6 and the bending of the shaft 5. Furthermore, the measurement unit may measure the movement of the head 6 and the bending of the shaft 5 based on the position of the head 6 with respect to the imaging device 4. At this time, the measurement unit measures the position of the imaging device 4 on the projection surface 10 as the position of the head 6. Furthermore, the measurement unit can also calculate the time transition of the position of the head 6 on the projection surface 10, and measure the movement of the head 6 and the transition of the state of the shaft 5 during the golf swing. Hereinafter, the steps S03 and S04 will be described in more detail by describing the projection surface 10 of the imaging device 4 with reference to FIGS. 3 and 4.
 図3は、図1に示す撮像装置4の仮想の投影面10と、ゴルフクラブ3のヘッド6及びシャフト5との関係を説明するための図である。投影面10は、撮像装置4の光軸に対して垂直な平面である。撮像装置4は、取付部材11を介してシャフト5に取付けられており、撮像装置4が取り付けられている部分のシャフト5は、ヘッド6及びヘッド6付近のシャフト5の部分よりもしなりが少ないか、実質的にしなりが無い。撮像装置4の光軸とシャフト軸とが平行な場合、しなりが生じていない状態のシャフト5のシャフト軸と投影面10とは垂直である。 FIG. 3 is a view for explaining the relationship between the virtual projection surface 10 of the imaging device 4 shown in FIG. 1 and the head 6 and the shaft 5 of the golf club 3. The projection plane 10 is a plane perpendicular to the optical axis of the imaging device 4. The image pickup device 4 is attached to the shaft 5 via the attachment member 11. Is the shaft 5 of the portion to which the image pickup device 4 is attached less rigid than the head 6 and the portion of the shaft 5 near the head 6? There is virtually no risk. When the optical axis of the imaging device 4 and the shaft axis are parallel to each other, the shaft axis of the shaft 5 and the projection plane 10 are perpendicular to each other when no bending occurs.
 ゴルフスイング中にシャフト5にしなりが生じ、破線で示すシャフト5a及び5bのような状態になった場合には、シャフト軸と投影面10とは垂直とはならない。投影面10におけるヘッド6上のマーカーM1~M3の位置座標は、図3中左下に記載したX軸及びY軸の座標値に対応するピクセル位置で表される。Z軸は、撮像装置4の光軸と平行な軸である。なお、明確のためシャフト5a及び5bのしなりは誇張して示しており、実際に生じるしなりは図示よりも少ないことが多い。 In the case where the shaft 5 is bent during the golf swing and the shaft 5a and 5b shown by broken lines are in a state, the shaft axis and the projection surface 10 are not perpendicular. Positional coordinates of the markers M1 to M3 on the head 6 in the projection plane 10 are represented by pixel positions corresponding to coordinate values of the X axis and the Y axis described at the lower left in FIG. The Z axis is an axis parallel to the optical axis of the imaging device 4. For the sake of clarity, the bends of the shafts 5a and 5b are shown exaggeratingly, and the actually occurring bends are often smaller than shown.
 図4は、図1に示す撮像装置4から取得したゴルフスイング時のゴルフクラブの画像の一例を示すグラフである。図示するシャフト5及びヘッド6の位置は、ヘッド6がゴルフボール9を打撃する時点であるインパクト直前の位置である。ヘッド6の上面には識別特徴であるマーカーM1~M3が付されている。なお、識別特徴は少なくとも1つあればよく、図示するように3つのマーカーを配置することも、異なる態様で複数のマーカーを配置することも、もちろん可能である。図上、破線で示すマーカーM4~M6は、それぞれ、ゴルフスイング開始時のマーカーM1~M3の位置に対応する。上記ステップS03において、計測装置2の位置情報取得部は、各マーカーM1~M3の位置情報は、投影面であるXY平面上における左下を原点(0,0)としたピクセル座標として取得する。投影面10上での各マーカーM1~M3の位置情報は、撮像装置4に対するヘッド6の相対位置である。 FIG. 4 is a graph showing an example of an image of a golf club during a golf swing acquired from the imaging device 4 shown in FIG. The positions of the shaft 5 and the head 6 shown in the figure are the positions immediately before the impact at which the head 6 strikes the golf ball 9. On the upper surface of the head 6, markers M1 to M3 which are identification features are attached. Of course, there may be at least one identification feature, and it is of course possible to arrange three markers as shown, or arrange a plurality of markers in different manners. Markers M4 to M6 indicated by broken lines in the figure respectively correspond to the positions of the markers M1 to M3 at the start of the golf swing. In step S03, the position information acquiring unit of the measuring device 2 acquires the position information of each of the markers M1 to M3 as pixel coordinates with the lower left on the XY plane as the projection plane as the origin (0, 0). The position information of each of the markers M1 to M3 on the projection plane 10 is the relative position of the head 6 with respect to the imaging device 4.
 上記ステップS04においては、計測装置2の計測部は、ヘッド6の撮像装置4に対する相対位置に反映されるシャフト5のしなりを計測することができる。さらに、シャフト5上に任意の数のマーカーを付したゴルフクラブ3を用いて同様の計測を行うことにより、シャフト5のしなり量やしなりの態様をさらに詳細に計測することができる。 In step S04, the measurement unit of the measurement device 2 can measure the curvature of the shaft 5 reflected in the relative position of the head 6 to the imaging device 4. Furthermore, by performing the same measurement using the golf club 3 having an arbitrary number of markers attached on the shaft 5, the aspect of the bending amount and the bending of the shaft 5 can be measured in more detail.
 ヘッド6の動きについては、計測部は、例えば、ヘッド6の回転挙動をゴルフスイング開始時のヘッド6のフェース向きに対応する、マーカーM4とM5とを結んだ直線(以下、M4-M5線と表す)と、M1とM2とを結んだ直線(以下、M1-M2線と表す)とがなす角度を算出することによって計測することができる。このようにして、ゴルフスイング中の各時点におけるヘッド6のゴルフスイング開始時のフェース向きに対する相対角度として、ヘッド6の回転挙動を計測することができる。さらに、ヘッドの回転挙動から、シャフトのねじれについても所定のモデルを用いて算出することができると考えられる。 With respect to the movement of the head 6, for example, the measuring unit corresponds to a straight line connecting markers M4 and M5 (hereinafter referred to as M4-M5 line), which corresponds to the rotation behavior of the head 6 corresponding to the face direction of the head 6 at the beginning of the golf swing. It can be measured by calculating the angle formed by the straight line connecting M1 and M2 (hereinafter referred to as M1-M2 line). In this manner, the rotational behavior of the head 6 can be measured as a relative angle with respect to the face direction at the start of the golf swing of the head 6 at each point in time of the golf swing. Furthermore, it is considered that the twisting of the shaft can also be calculated using a predetermined model from the rotational behavior of the head.
 以下、図5~図8を参照して、上記ステップS04についてさらに詳述する。計測装置2の計測部は、図5に示すように位置情報取得部が取得した各マーカーM1~M3の投影面10上での位置情報の時間推移を求めることもできる。図5は、撮像装置4の投影面10上でのX軸方向における各マーカーM1~M3の位置の時間推移を示す図である。横軸は時間(ms)を示し、縦軸は撮像装置の投影面10上でのX軸方向における各マーカーの位置(pixels)を示す。時間(ms)が0の時点は、ヘッド6がゴルフボール9を打撃するインパクト時点である。この図から、ヘッド6のマーカーM1~M3は、インパクト時点に向けて類似した傾向で投影面X軸方向位置が左右に変動するということが分かる。この傾向を詳述すると、まず、ヘッド6のマーカーM1~M3は、ゴルフスイング開始後直後は、投影面10上でX軸左方向に移動し、その後、徐々に投影面10上でX軸右方向に移動し、インパクト直前に再度投影面10上でX軸左方向に移動して、インパクト時点に至る。 Hereinafter, the step S04 will be described in more detail with reference to FIGS. 5 to 8. The measuring unit of the measuring device 2 can also obtain time transition of position information on the projection plane 10 of each of the markers M1 to M3 acquired by the position information acquiring unit as shown in FIG. FIG. 5 is a view showing the time transition of the positions of the markers M1 to M3 in the X-axis direction on the projection plane 10 of the imaging device 4. As shown in FIG. The horizontal axis indicates time (ms), and the vertical axis indicates the position (pixels) of each marker in the X-axis direction on the projection plane 10 of the imaging device. The point in time (ms) is 0 is an impact point at which the head 6 strikes the golf ball 9. From this figure, it can be seen that the markers M1 to M3 of the head 6 shift the position in the projection plane X axis direction to the left and right with a similar tendency toward the impact time point. More specifically, the markers M1 to M3 of the head 6 move leftward on the projection surface 10 in the X-axis direction immediately after the start of the golf swing, and then gradually move to the X-axis right on the projection surface 10 gradually. It moves in the direction, and moves to the left of the X axis on the projection surface 10 just before the impact, and reaches the point of impact.
 図6は、撮像装置4の投影面上でのY軸方向における各マーカーM1~M3の位置の時間推移を示す図である。横軸は時間(ms)を示し、縦軸は撮像装置の投影面10上でのY軸方向における各マーカーの位置(pixels)を示す。図5と同様に、時間(ms)が0の時点は、ヘッド6がゴルフボール9を打撃するインパクト時点である。この図から、ヘッド6のマーカーM1~M3は、インパクト時点に向けて類似した傾向で投影面Y軸方向位置が上下変動するということが分かる。この傾向を詳述すると、まず、ヘッド6のマーカーM1~M3は、ゴルフスイング開始直後は、投影面10上でY軸方向に上下に揺れ、その後急激にY軸上方向に移動し、次いで途中まで緩やかに下降した後にインパクトに向けて急激に下降する。 FIG. 6 is a diagram showing the time transition of the position of each of the markers M1 to M3 in the Y-axis direction on the projection plane of the imaging device 4. As shown in FIG. The horizontal axis indicates time (ms), and the vertical axis indicates the position (pixels) of each marker in the Y-axis direction on the projection plane 10 of the imaging device. Similar to FIG. 5, the point in time (ms) is 0 is an impact point at which the head 6 strikes the golf ball 9. From this figure, it can be seen that the markers M1 to M3 of the head 6 vertically shift the position in the projection plane Y-axis direction with a similar tendency toward the point of impact. More specifically, the markers M1 to M3 of the head 6 swing up and down in the Y-axis direction on the projection surface 10 immediately after the start of the golf swing, then move rapidly in the Y-axis direction, and then halfway After dropping gently to the bottom, it drops sharply toward the impact.
 図5及び図6に示したように、本実施形態によれば、ヘッド6の動きに反映されるゴルフクラブ3の変形を計測することができる。さらに、本実施形態によれば、図7に示すようなゴルフスイング中のヘッド6上のマーカーM1の投影面10上での軌跡の情報を得ることもできる。図7のプロット上に示すダイヤ印は、インパクトを示す。撮像装置4の投影面10上でのマーカーM1の軌跡は、撮像装置4に対してヘッド6が相対的にどれだけ変位したかということを示すものである。ヘッド6の撮像装置4に対する相対変位に最も大きく寄与する要因は、ゴルフクラブ3の変形のなかでもシャフト5のしなりであると考えられる。従って、図7に示すようなマーカーM1の軌跡から、ゴルフスイング時のシャフト5のしなりを計測することができる。 As shown in FIGS. 5 and 6, according to the present embodiment, it is possible to measure the deformation of the golf club 3 reflected in the movement of the head 6. Furthermore, according to the present embodiment, it is also possible to obtain information of the locus on the projection surface 10 of the marker M1 on the head 6 in the golf swing as shown in FIG. The diamond marks shown on the plot of FIG. 7 indicate the impact. The locus of the marker M1 on the projection surface 10 of the imaging device 4 indicates how much the head 6 is displaced relative to the imaging device 4. The factor that contributes the most to the relative displacement of the head 6 with respect to the imaging device 4 is considered to be the tendency of the shaft 5 among the deformation of the golf club 3. Therefore, from the locus of the marker M1 as shown in FIG. 7, the bending of the shaft 5 at the time of golf swing can be measured.
 さらに、ヘッドの回転挙動については、図8に示すように計測することができる。この回転挙動には、例えば、ヘッド6がシャフト軸から遠ざかる方向であるトゥダウン方向の回転や、シャフトを軸とした打ち出し方向の回転などが含まれる。図8において、縦軸は相対角度を示し、横軸は時間(ms)を示す。相対角度は、ゴルフスイング開始時におけるM1-M2線に対応するM4-M5線、及び同M1-M3線に対応するM4-M6線に対して、ゴルフスイング中のM1-M2線及びM1-M3線がそれぞれなす角度を示す。プラスは打ち出し方向への回転角を示し、マイナスはそれとは逆方向の回転角を示す。実線は、ヘッド6のM1-M2線がM4-M5線に対してなす角の時間推移を表す。破線は、M1-M3線がM4-M6線に対してなす角の時間推移を示す。図8より、ゴルフスイング開始直後は、慣性のためにフェース面はプラスの回転角を呈するが、その後、マイナスに転じ、インパクトへ向けてフェース面は徐々にプラス方向に回転することがわかる。 Furthermore, the rotational behavior of the head can be measured as shown in FIG. This rotational behavior includes, for example, rotation in the toe-down direction, which is the direction in which the head 6 moves away from the shaft axis, and rotation in the striking direction about the shaft. In FIG. 8, the vertical axis represents relative angle, and the horizontal axis represents time (ms). The relative angles are the M1-M2 line and the M1-M3 line in the golf swing with respect to the M4-M5 line corresponding to the M1-M2 line at the start of the golf swing and the M4-M6 line corresponding to the M1-M3 line. Indicates the angle that each line makes. The plus indicates the rotation angle in the launch direction, and the minus indicates the rotation angle in the opposite direction. The solid line represents the time transition of the angle formed by the M1-M2 line of the head 6 with the M4-M5 line. The broken line shows the time transition of the angle that the M1-M3 line makes with the M4-M6 line. It can be seen from FIG. 8 that, immediately after the start of the golf swing, the face surface exhibits a positive rotation angle due to inertia, but then turns negative and the face surface gradually rotates in the positive direction toward the impact.
 図8では、実線の変化のほうが、破線の変化よりも大きい。これは、ゴルフスイング時にヘッド6が、いわゆるトゥダウン方向(ヘッド6がシャフト軸から遠ざかる方向)に移動することで、シャフト5にしなりが生じることに起因すると考えられる。上述したようなシャフトのしなりの計測結果と併せてこのようなデータを更に解析することで、シャフトのしなりとヘッドの動きとの相関を解析することも可能になると考えられる。 In FIG. 8, the change of the solid line is larger than the change of the broken line. This is considered to be due to bending of the shaft 5 as the head 6 moves in a so-called toe-down direction (direction in which the head 6 moves away from the shaft axis) during a golf swing. By further analyzing such data together with the measurement results of the shaft curvature as described above, it is also possible to analyze the correlation between the shaft curvature and the head movement.
 このように、本実施形態による方法は、ゴルファ8によるゴルフクラブの変形を計測するために複数台の撮像装置を用いる必要がなく、簡易にゴルフスイング時のヘッド6の動きを計測することができる。なお、上記図5、図6、図8では、ゴルフスイング時のヘッドの動き及びシャフトのしなりに関するデータは経時的なデータとして示したが、これらは経時的なデータとしてのみ取得可能なものではない。たとえば、インパクト時など、関心のある任意の一時点について、各データを求めることももちろん可能である。この場合、ゴルフクラブ3の変形は、例えば、変形が全く生じていない状態のゴルフクラブ3の状態からの変位量として求めることができる。 As described above, the method according to the present embodiment does not need to use a plurality of imaging devices to measure the deformation of the golf club by the golfer 8, and can easily measure the movement of the head 6 during the golf swing. . In addition, in the said FIG.5, FIG.6, FIG.8, although the data regarding the motion of the head at the time of a golf swing and bending of a shaft were shown as time-lapse data, these can be acquired only as time-lapse data Absent. For example, it is also possible to obtain each data at any one time point of interest, such as at the time of impact. In this case, the deformation of the golf club 3 can be determined, for example, as a displacement from the state of the golf club 3 in a state where no deformation has occurred.
 次に、本実施形態による計測システム及び計測方法を、複数の被験者について適用した結果を図9及び図10を参照して説明する。図9A~Cに示した計測結果は、図7と同様に、ゴルフスイング時のヘッド6上のマーカーM1の投影面10上での軌跡を示す。図10A~Cに示した計測結果は、図8と同様に、ヘッド6の初期位置に対するゴルフスイング時のヘッド6の相対角度の時間推移を示す。図上、ゴルフスイングのフェーズをバックスイング(実線)、ダウンスイング(破線)、フォロースルー(点線)にそれぞれ分けて示す。例えば、ゴルファ8によるゴルフスイング全体を撮像する撮像装置を撮像装置4とは別に設置することや、ゴルフクラブ3にジャイロセンサを設けることにより、ゴルフスイングのフェーズを区別することができる。このように、ゴルフスイングのフェーズを区別することにより、異なるタイプのゴルフスイングの計測結果について、フェーズ毎に比較評価することが可能になる。 Next, results of application of the measurement system and the measurement method according to the present embodiment to a plurality of subjects will be described with reference to FIGS. 9 and 10. The measurement results shown in FIGS. 9A to 9C show trajectories on the projection surface 10 of the marker M1 on the head 6 at the time of golf swing, as in FIG. Similar to FIG. 8, the measurement results shown in FIGS. 10A to 10C show the temporal transition of the relative angle of the head 6 at the time of the golf swing with respect to the initial position of the head 6. In the figure, the phase of the golf swing is divided into a backswing (solid line), a downswing (broken line), and a follow through (dotted line). For example, by installing an imaging device for imaging the entire golf swing by the golfer 8 separately from the imaging device 4 or by providing the golf club 3 with a gyro sensor, it is possible to distinguish the phase of the golf swing. As described above, by distinguishing the phases of the golf swing, it becomes possible to compare and evaluate the measurement results of different types of golf swings for each phase.
 図9A~C、及び図10A~Cから明らかなように、各被験者の計測結果は相互に異なっている。そこで、比較すべき特徴や指標とすべき特徴量を決定して、計測結果を比較及び分類することにより、各被験者に適したゴルフクラブを選定や開発を支援することができると考えられる。 As apparent from FIGS. 9A to 10C and 10A to 10C, the measurement results of each subject are different from each other. Therefore, it is considered that selection and development of a golf club suitable for each subject can be supported by determining the feature amount to be compared and the feature amount to be an index, and comparing and classifying the measurement results.
 本発明の一実施形態について説明したが、特許請求の範囲において種々の変更を加えることができる。なお、上記実施の形態では、ゴルファ8を人間として示したが、本発明によれば、ロボットのゴルファによるゴルフスイング時のゴルフクラブの変形を簡易に計測することも可能である。当該ロボットのゴルファは、一定条件でのスイングが可能であり、例えば、同一仕様の多数の製品間での特性の均質性を簡易に判断することができる。 Although one embodiment of the present invention has been described, various modifications can be made in the claims. In the above embodiment, the golfer 8 is shown as a human, but according to the present invention, it is also possible to easily measure the deformation of the golf club at the time of the golf swing by the golfer of the robot. The robot's golfer can swing under certain conditions, and can easily determine, for example, the homogeneity of the characteristics among many products of the same specification.
 1 計測システム
 2 計測装置
 3 ゴルフクラブ
 4 撮像装置
 5 シャフト
 6 ヘッド
 7 グリップ
 9 ゴルフボール
Reference Signs List 1 measurement system 2 measurement device 3 golf club 4 imaging device 5 shaft 6 head 7 grip 9 golf ball

Claims (7)

  1.  ゴルファがゴルフクラブをスイングする際のゴルフクラブの変形を計測する計測システムであって、
     前記ゴルフクラブ上の位置を特定できる前記ゴルフクラブに取り付けられた少なくとも1つの識別特徴を含む方向に向けて、前記ゴルフクラブに対して取り付けられた撮像装置と、
     前記撮像装置により撮像されたスイング時の前記ゴルフクラブの画像から取得した前記少なくとも1つの識別特徴の位置情報に基づいて、前記ゴルフクラブの変形を計測する計測装置と、
    を備える、ゴルフクラブの変形の計測システム。
    A measuring system for measuring the deformation of a golf club when the golfer swings the golf club,
    An imaging device attached to the golf club in a direction including at least one identification feature attached to the golf club capable of identifying a position on the golf club;
    A measuring device that measures deformation of the golf club based on position information of the at least one identification feature acquired from an image of the golf club at the time of a swing captured by the imaging device;
    A measurement system of deformation of a golf club, comprising:
  2.  前記計測装置は、
     前記撮像装置からスイング時の前記ゴルフクラブの画像を取得する画像取得部と、
     取得された前記画像から前記少なくとも1つの識別特徴を認識し、認識された前記少なくとも1つの識別特徴の位置情報を取得する位置情報取得部と、
     取得された前記位置情報に基づいて前記ゴルフクラブの変形を計測する計測部と、を有する、請求項1に記載のゴルフクラブの変形の計測システム。
    The measuring device is
    An image acquisition unit for acquiring an image of the golf club at the time of swing from the imaging device;
    A position information acquisition unit that recognizes the at least one identification feature from the acquired image and acquires position information of the recognized at least one identification feature;
    The measuring system of the deformation | transformation of the golf club of Claim 1 which has a measurement part which measures the deformation | transformation of the said golf club based on the acquired said positional information.
  3.  前記少なくとも1つの識別特徴を、前記ゴルフクラブのヘッド上に備える請求項1又は2に記載のゴルフクラブの変形の計測システム。 The golf club deformation measurement system according to claim 1, wherein the at least one identification feature is provided on a head of the golf club.
  4.  前記ゴルフクラブの変形が、前記ゴルフクラブのヘッドの動き及びシャフトのしなりの双方又はいずれか一方である、請求項1~3のいずれか一項に記載のゴルフクラブの変形の計測システム。 The golf club deformation measuring system according to any one of claims 1 to 3, wherein the deformation of the golf club is at least one of the movement of the head of the golf club and the curvature of a shaft.
  5.  前記撮像装置が90g未満であることを特徴とする、請求項1~4のいずれか一項に記載のゴルフクラブの変形の計測システム。 The system for measuring deformation of a golf club according to any one of claims 1 to 4, wherein the imaging device is less than 90 g.
  6.  ゴルファがゴルフクラブをスイングする際のゴルフクラブの変形を計測する計測方法であって、
     前記ゴルフクラブ上の位置を特定できる少なくとも1つの識別特徴と、該識別特徴を含む方向に向けて取り付けられた撮像装置とを有するゴルフクラブを用いたゴルフスイング時に、前記撮像装置により前記ゴルフクラブの画像を撮像するステップと、
     前記撮像装置からスイング時の前記ゴルフクラブの画像を取得するステップと、
     前記撮像装置により撮像された画像から前記少なくとも1つの識別特徴を認識し、認識された前記少なくとも1つの識別特徴の位置情報を取得するステップと、
     取得された前記位置情報に基づいて前記ゴルフクラブの変形を計測するステップと、
    を含む、ゴルフクラブの変形の計測方法。
    A measuring method for measuring the deformation of a golf club when the golfer swings the golf club,
    During a golf swing using a golf club having at least one identification feature that can specify a position on the golf club and an imaging device attached to a direction including the identification feature, the imaging device Capturing an image;
    Acquiring an image of the golf club at the time of swing from the imaging device;
    Recognizing the at least one identification feature from an image captured by the imaging device, and acquiring position information of the recognized at least one identification feature;
    Measuring the deformation of the golf club based on the acquired position information;
    How to measure the deformation of a golf club, including:
  7.  ゴルファがゴルフクラブをスイングする際のゴルフクラブの変形を計測する計測装置であって、
     前記ゴルフクラブ上の位置を特定できる前記ゴルフクラブに取り付けられた少なくとも1つの識別特徴を含む方向に向けて、前記ゴルフクラブに対して取り付けられた撮像装置により撮像されたスイング時の前記ゴルフクラブの画像から取得した、前記少なくとも1つの識別特徴の位置情報に基づいて、前記ゴルフクラブの変形を計測する、
    ゴルフクラブの変形の計測装置。
     
    A measuring device for measuring the deformation of a golf club when the golfer swings the golf club,
    The golf club at the time of a swing imaged by an imaging device attached to the golf club in a direction including at least one identification feature attached to the golf club that can locate the position on the golf club Measuring a deformation of the golf club based on position information of the at least one identification feature acquired from an image;
    Measuring device of deformation of golf club.
PCT/JP2012/006399 2011-10-04 2012-10-04 Golf club deformation measurement system, measurement method, and measurement device WO2013051277A1 (en)

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