TW201000175A - A device for analyzing and measuring sports technique - Google Patents

A device for analyzing and measuring sports technique Download PDF

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Publication number
TW201000175A
TW201000175A TW97122536A TW97122536A TW201000175A TW 201000175 A TW201000175 A TW 201000175A TW 97122536 A TW97122536 A TW 97122536A TW 97122536 A TW97122536 A TW 97122536A TW 201000175 A TW201000175 A TW 201000175A
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Taiwan
Prior art keywords
shaft
analysis
axis direction
motion
axis
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TW97122536A
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Chinese (zh)
Inventor
Ching-Hua Chiu
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Nat Univ Chung Hsing
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Priority to TW97122536A priority Critical patent/TW201000175A/en
Publication of TW201000175A publication Critical patent/TW201000175A/en

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Abstract

A device for analyzing and measuring the sports technique includes a sensing module, a video camera, and a central control module. The sensing module has two sensors that are connected with two ends of the axle shafts. Those sensors are used to sense the loads along X-axis direction, Y-axis direction, and Z-axis direction. The video camera is set up at one side of the axle shaft to take the dynamic images of human body in the corresponding position of the axle shaft by using the axle shaft as the center. The central control module can calculate the magnitudes and the directions of the component force and the resultant force produced in the exercise process according to the weight information transmitted from the sensor modules and the dynamic images transmitted from the video camera. Therefore, the present invention will increase the accuracy of measurement and analysis, and know the body status of sportsman more clearly.

Description

201000175 九、發明說明: 【發明所屬之技術領域】 本發明是有關於—種分析測量裝置,特別是指—種 動技術分析測量裝置。 【先前技術】 Λ兄技性體操」如吊環、雙槓、單槓、高低槓.·等,口 一種力與美的表現,這類的體操動作難度大、技術複雜, 需:專業的指冑,及反覆練習’運動員报難在運動過程中 ’清楚的知道本身動作的缺失,也不容易了解該項競技的 技巧所在,形成訓練上的困擾。 以中華民國公告第Μ321799號案為例,主要是利用— 運動員動作分析設備,將運動員的動作記錄下來,再與一 標準動作比對,分析學習前、後的改善效果,進而能接近 專業的水準。 前述體操運動表現的優異,與角動量(L)、轉動慣量(丁) 主角〃速度(ω)、力矩(T)、力量(F)等有關鍵性的影響,惟,公 告第Μ321799㉟案只能透過記錄的影像,判斷動作是否尸 準’對於,,力,,作用在物體上所產生的效應,則完全不;而: ,在此情形下,透過影像對受測者運動技術的評估盘推論 ’顯然就比較主觀,精確性也受到該,因此, 用日守有其限制存在,且受到不同程度的非議,@不具有實 用性。 ^ 【發明内容】 因此,本發明之目的 即在提供一種能提昇測量與分 201000175 析精準度的運動技術分析測量裝置。 :是本發明的運動技術分析測量裳置,是 運動器材,該運叙哭抖目士 疋女裒在一 /運動益材具有可承受重力且沿一 一軸桿。該i軍叙\ t 八軸延伸的 “析測量裝置包含-感測單元、—攝 衫機,及一 φ如sg - 1 攝 4感測單元具有與該軸桿-踹j 接的二感測5§ , # & β4干一鸲連 ' 〇等感測器是用於感測該轴桿沿— 向、一Υ軸方向,及一 轴方 .^ ± Ζ軸方向的何重。該攝影機是 在s亥軸桿一側,且以兮為炉也士 ’、α又 以該軸梓為中心攝取人體201000175 IX. DESCRIPTION OF THE INVENTION: TECHNICAL FIELD OF THE INVENTION The present invention relates to an analytical measuring device, and more particularly to a seeding technical analysis measuring device. [Prior Art] Λ 技 技 技 」 」 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊 吊'The athletes reported difficulties in the process of exercise' clearly know the lack of their own movements, and it is not easy to understand the skills of the competition, forming training problems. Taking the case of the Republic of China Announcement No. 321799 as an example, the athlete's action analysis equipment is used to record the athlete's movements, and then compare with a standard movement to analyze the improvement effect before and after the study, and then to approach the professional level. . The above-mentioned excellent performance of gymnastics, and angular momentum (L), moment of inertia (D), main angle ω speed (ω), torque (T), strength (F), etc. have a critical impact, but the announcement No. 32179935 can only Through the recorded images, it is not at all judged whether the action is correct or not, and the effect on the object is not at all; and: In this case, the evaluation of the motion technique of the subject through the image is inferred. 'Obviously it is more subjective, and the accuracy is also subject to it. Therefore, there is a limit to the existence of the Japanese Guardian, and it is subject to different degrees of criticism. @不实用性. SUMMARY OF THE INVENTION Accordingly, it is an object of the present invention to provide a motion analysis and measurement apparatus that can improve measurement and accuracy of 201000175. : It is the motion technology analysis measurement skirt of the present invention, which is a sports equipment, and the movement is a smashing scorpion. The 疋 裒 裒 / 运动 / / / / / / / / / / / / / / / / / / / / The analytic measuring device includes a sensing unit, a camera, and a φ sg - 1 camera 4 sensing unit having two sensing connections with the shaft - 踹j 5§, # &β4干一鸲' 感 感 sensors are used to sense the direction of the shaft along the direction, the direction of the axis, and the direction of the axis. ^ ± Ζ axis. The camera It is on the side of the s-axis shaft, and the 兮 is the furnace, and the α takes the body around the axis.

St動態影像。該中控單元是依據該等感測單元::: 二該攝影機回傳的動態影像,計算出運動過程 生的刀力、合力大小與方向。 八本發明的功效是能計算出運動過程中,產生的分力、 口力大小與方向,提昇測量與分析時的精準度。 【實施方式】 有關本么明之則述及其他技術内容、特點與功效,在 以下配合參考圖式之一較佳實施例的詳細說明中,將可产 楚的呈現。 μ ▲參閱圖1、圖2’本發明的運動技術分析測量裝置的一 較佳實施例是安裝在一運動器材j,該運動器材】在本較佳 貫施例為一單槓’並具有可承受重力且沿-X軸延伸的一 轴桿11。該運動技術分析測量裝置包含_感測單元2、—攝 影機3,及一中控單元4。 該等感測單元2具有與該軸桿n二端連接的二感測器 21、-類比/數位轉換器22,及電連接該等感測器η與該 201000175 類比/數位轉換器2 2的一類(;( 4#丄 、 ^頰比讯唬放大器23。該等感測器 21是用於感測該軸桿U沿―χ軸方向、一 γ軸方向,及 - Ζ軸方向的荷重,並轉換成可記錄之電訊號。該類比/數 位轉換器22是將類比式的電訊號轉換成數位式的電訊號。 該類比訊號放大器23是用於強化前述電訊號。 該攝影機3是架設在該軸桿u 一側,並具有可擷取影 像的一影像擷取卡3 1,佶马·媒旦彳—1 使該攝影機3以該軸桿11為中心攝 取人體與該軸桿11相對位置的動態影像。 該中控單元4具有-電腦主機41、一顯示模組42,及 -輸入模組43。該電腦主機41與該等感測單元2、該攝影 機3可以透過有線或無線通訊技術相互連通,且透過一分 析軟體,依據該等感測單元2回傳的電訊號,及該攝影機3 :傳的動態影像,計算出運動過程中的重力資訊,產生的 刀力合力大小與方向。該顯示模組42在本較佳實施例為 —顯示H ’是心顯示前述動態影像,及運動過程中產生 的分力、合力大小與方向。該輪人模組43在本較佳實施例 為-鍵盤’可輸入操作指令,及相關資訊。 士參閱圖1、圖3’以下即針對本發明運動技術分析測量 裝置的分析流程並結合實施例步驟說明如后: 步驟5丨:該電腦主機41系統初始化。 步驟52 :該等左、右感測器21感義軸桿u二端沿 x2軸方向Yi、Υ2軸方向,及Ζι、軸方向的荷重 1產生-電訊號回傳該電腦主冑41。同時,該攝影機3 以该軸桿11為中心攝取人牌 取人體與该軸柃11相對位置的動態影 7 201000175 像,並回傳該電腦主機41。 v驟53.该電腦主機41依據該等 ,號’及該攝影機3回傳的動態影像==公傳的電 算出運動過程中的會 ^刀析軟體计St motion picture. The central control unit calculates the tool force, the combined force size and the direction of the motion process according to the motion images returned by the camera unit::: 2. The effect of the eight inventions is to calculate the component force and direction of the force generated during the exercise, and to improve the accuracy of measurement and analysis. [Embodiment] In the following detailed description of a preferred embodiment with reference to the drawings, the present invention will be described in detail. μ ▲ Referring to Figures 1 and 2', a preferred embodiment of the motion analysis and measurement device of the present invention is mounted on a sports equipment j, which is a horizontal bar in the preferred embodiment and is affordable. A shaft 11 that is gravity and extends along the -X axis. The motion technology analysis measuring device comprises a sensing unit 2, a camera 3, and a central control unit 4. The sensing unit 2 has two sensors 21 connected to the two ends of the shaft n, an analog/digital converter 22, and electrically connected to the sensors η and the 201000175 analog/digital converter 2 2 . a type of (4#丄, ^ cheek ratio 23 amplifier 23. These sensors 21 are used to sense the load of the shaft U along the "χ axis direction, a γ axis direction, and the - Ζ axis direction, And converted into a recordable electrical signal. The analog/digital converter 22 converts the analog electrical signal into a digital electrical signal. The analog signal amplifier 23 is used to strengthen the electrical signal. The camera 3 is mounted on the digital signal. The image of the shaft is on one side of the shaft, and has an image capture card 3 for capturing images. The camera 3 is used to take the camera 3 to take the relative position of the human body and the shaft 11 around the shaft 11. The central control unit 4 has a computer main unit 41, a display module 42, and an input module 43. The computer main unit 41 and the sensing units 2 and the camera 3 can communicate through wired or wireless communication technologies. Connected to each other and transmitted through an analysis software according to the electrical signals transmitted by the sensing units 2, and The camera 3: transmits the moving image, calculates the gravity information during the movement, and generates the combined force and direction of the knife force. In the preferred embodiment, the display module 42 displays the moving image as the heart. And the force component and the resultant force and direction generated during the movement. The wheel module 43 can be input into the operation command and related information in the preferred embodiment of the present invention. Referring to Figure 1, Figure 3 below The analysis flow of the motion technology analysis and measurement device of the present invention is combined with the steps of the embodiment as follows: Step 5: The computer host 41 is initialized. Step 52: The left and right sensors 21 sense the axis of the shaft u The x2 axis direction Yi, the Υ2 axis direction, and the load 1 of the Ζι, the axis direction are generated - the electrical signal is transmitted back to the main computer 41. At the same time, the camera 3 takes the human card and the axis with the axis 11 as the center. 11 relative position of the dynamic shadow 7 201000175 image, and back to the computer host 41. v. 53. The computer host 41 according to the number, and the camera 3 back to the dynamic image == public transmission of the electric calculation process In the meeting Meter

軸方向、二= I &轴方向、H 、Y轴、“Λ 生的分力大小與方向,及沿X軸 軸方向的合力大小與方向。 :54 :該電腦主機41透過該分析軟體將前述分力、合 小與方向繪製成圖形,並顯示於該顯示楔植42 參閱圖4〜圖U,藉此,該顯示模組4 相關資訊: 」Μ顯不7 A、 顯示影像及圖示合力向量; B、 數值顯示:如合力、左&軸方向的 方向的分* ★ π ± 刀左h 刀力、左Z2軸方向的分力、右Χι軸方向的分力、右 γι軸方向的分力、右Ζι軸方向的分力。 C 顯示左Χ2_γ2平面向量。 D 顯示左γ2_ζ2平面向量。 Ε、顯示左Ζ2-Χ2平面向量。 F、顯示右Xi-Yi平面向量。 G 顯示右Υι-Ζ!平面向量。 H、顯示右Z!-X〗平面向量。 值得—提的是,由於本發明可以測量不同方向的分力 及合力,及透過該動態影像獲知運動員的迴轉圈數,因此 忒 >析軟體更可以依據前述相關數值,計算出角動量(L)、 轉動慣量(T)、角速度(ω)、力矩(T)、力量(F)..,等數1,協 201000175 助運動員了解六旦 進而能有效的修 解力置大小與身體的協調性 正運動技術。 ^圖1本發明安裝的運動器材i也可以是 =環,並具有沿該X轴延伸的-轴桿…及由該轴桿 Γ是錐環13。值得—提的是,該運動器材1也可 又相早扣、高低槓··.等。 糟此’同樣能以該攝影機3攝取人體與該轴桿12相對 位:的動態影像,並透過該中控單元4依據該等感測單元2 回傳的重力資訊,及該攝影機3回傳的動態影像,計算出 運動過財,產生的分力、合力大小與方向。 虞所述可去口,本發明之運動技術分析測量裝且 下列優點及功效: 本發明可以藉由測量元件,提供準確的參考數據,使 運動員可以透㈣字化與《形化的數值1確了解,,力”作用 在物體上所產生的效應,不但能提昇測量與分析時的精準 度’且運動員可以依據前述科學量測、力學關係及運動經 驗’有效的修正運動技術,使本發明提供的數據能夠更客 Ιι^且正確。 以上所述只是本發明之較佳實施例而已,當不能以此 限定本發明實施之範圍,即大凡依本發明φ請專利範圍及 發明說明内容所作之簡單的等效變化與修飾,皆仍屬本發 明專利涵蓋之範圍内。 201000175 【圖式簡單說明】 運動技術分析測 圖1是一立體示意圖’說明本發明一 里裝置安裝在一運動器材的一較佳實施例; 圖2是該較佳實施例的一方塊圖; 圖3是該較佳實施例的一流程圖; 圖4是一圖形示意圖’ 圖示合力向量; 圖 5 是- '圖形示意圖, 分力 9 圖 6 是- •圖形示意圖, 平 面 向 量: 1 圖 7 是- 圖形示意圖, 平 面 向 量; ► 圖 8 是— '圖形示意圖, 平 面 向 量; 圖 9 是— 圖形示意圖, 平 面 向 量; 1 圖 10 是, 一圖形示意圖, 平 面 向 量; 1 圖 11 是- "'圖形示意圖, 平 面 向 量; :及 °兒明該較佳實施例顯示影像及 °兑月°亥車父佳實施例顯示合力與 °兒月該較佳實施例顯示左χ_γ 說月°玄較佳實施例顯示左γ_ζ °兒明3亥較佳實施例顯示左Ζ-Χ 說明該較佳實施例顯示右χ·γ 說明該較佳實施例顯示右γ_ζ 說明該較佳實施例顯示右ζ_χ 器材 10 201000175 【主要元件符號說明】 1…… ••…運動器材 23 …··類比訊號放大器 11 ._·· ••…軸桿 3…… ••…攝影機 12…·. …··軸桿 31…· ••…影像擷取卡 13····. …··吊環 4…… .....中控單元 2…… .....感測單元 41…· …··電腦主機 21 …·. .....感測器 42 .... .....顯示模組 22·.··. |…·類比/數位轉換器 43 •… .....輸入模組 11Axis direction, two = I & axis direction, H, Y axis, "the force component size and direction of the force, and the force and direction of the force along the X axis axis. : 54 : The computer host 41 will pass the analysis software The above-mentioned component force, small size and direction are drawn into a figure and displayed on the display wedge 42. Referring to FIG. 4 to FIG. U, the display module 4 related information: Μ 不 不 7 A, display image and illustration Joint force vector; B, numerical display: the direction of the direction of the joint force, left & axis direction * ★ π ± knife left h knife force, left Z2 axis component force, right Χ axis direction component, right γι axis direction The component of force, the force component of the right axis. C shows the left Χ 2_γ2 plane vector. D displays the left γ2_ζ2 plane vector. Ε, display left Ζ 2-Χ 2 plane vector. F. Display the right Xi-Yi plane vector. G displays the right Υι-Ζ! plane vector. H. Display the right Z!-X plane vector. It is worth mentioning that, since the present invention can measure the component and the resultant force in different directions, and the number of revolutions of the athlete is known through the motion image, the software can calculate the angular momentum based on the aforementioned correlation value (L). ), moment of inertia (T), angular velocity (ω), moment (T), strength (F).., etc. 1, 201000175 to help athletes understand the six-denier and then effectively repair the size and coordination of the body Positive exercise technology. Figure 1 The sports equipment i installed in the present invention may also be a ring and has a shaft extending along the X-axis... and the shaft Γ is a cone ring 13. It is worth mentioning that the sports equipment 1 can also be buckled early, the uneven bars, etc. The same can be used to capture the dynamic image of the human body and the shaft 12 by the camera 3, and the gravity information returned by the central control unit 4 according to the sensing unit 2, and the back of the camera 3 Dynamic image, calculate the movement of the fortune, the resulting component, the size and direction of the force. The movable motion analysis and measurement device of the present invention has the following advantages and effects: The present invention can provide accurate reference data by measuring components, so that the athlete can pass the (four) wording and the "formation value 1" Understand that the effect of force on the object can not only improve the accuracy of measurement and analysis, but also the athlete can provide effective correction of motion technology based on the aforementioned scientific measurement, mechanical relationship and exercise experience. The above data is more convenient and correct. The above description is only a preferred embodiment of the present invention, and the scope of the invention is not limited thereto, that is, the simplicity of the patent scope and the description of the invention according to the present invention is simple. The equivalent changes and modifications are still within the scope of the patent of the present invention. 201000175 [Simple description of the figure] The motion technology analysis chart 1 is a three-dimensional schematic diagram illustrating the installation of a device in the present invention in a sports equipment. Figure 2 is a block diagram of the preferred embodiment; Figure 3 is a flow chart of the preferred embodiment; Figure 4 is a graphic Schematic diagram of the resultant force vector; Figure 5 is - 'Graphical diagram, component force 9 Figure 6 is - • Graphical diagram, plane vector: 1 Figure 7 is - Graphical diagram, plane vector; ► Figure 8 is - 'Graphic schematic, plane Figure 9 is a graphical representation of a plane vector; 1 Figure 10 is a graphical representation of a plane vector; 1 Figure 11 is a - "' schematic diagram, a plane vector; and a display of the preferred embodiment of the image And the embodiment of the embodiment shows the resultant force and the month of the month. The preferred embodiment shows the left χ γ γ 月 ° 玄 玄 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳 较佳The preferred embodiment shows a right χ γ. The preferred embodiment shows a right γ_ζ. The preferred embodiment shows a right ζ χ 器材 10 10 201000175 [Main component symbol description] 1... ••... sports equipment 23 ...·· Analog Signal Amplifier 11 ._·· ••...Axis 3... ••...Camera 12...·..··Axis 31...·••...Image Capture Card 13· ···.......··吊环4...... ..... central control unit 2..............sensing unit 41...····computer host 21 ...·..... sensor 42 .... ..... Display Module 22·.·.. |.·Analog/Digital Converter 43 •..... Input Module 11

Claims (1)

201000175 十、申請專利範圍: 1 _ 一種運動技術分析測量裝置,是安裝在—運動器材,喊 運動器材具有可承受重力且沿一 X軸延伸的一轴桿,該 運動技術分析測量裝置包含: 一感測單元’具有與該軸桿二端連接的二感測器, 該等感測器是用於感測該軸桿沿一 X軸方向、一 γ轴方 - 向’及一 Z軸方向的荷重; 一攝影機,是架設在該軸桿一側,且以該軸桿為中 心攝取人體與該軸桿相對位置的動態影像;及 中控單元,是依據該等感測單元回傳的重力資訊 ,及該攝影機回傳的動態影像,計算出運動過程中,產 生的分力、合力大小與方向。 依據申明專利範圍第1項所述之運動技術分析測量裝置 μ =中該中控單元具有一電腦主機,該電腦主機與該 3寻感測單元、該攝影機是透過有線通訊技術相互連通。 依據申明專利範圍第1項所述之運動技術分析測量裝置 . ,其中,該φ狄tra _ 伙 役早兀具有一電腦主機,該電腦主機與該 等感測單元、劫·植& 依據申請專利範圍 技術分析測量裝遭 Μ攝衫機是透過無線通訊技術相互連通。 、、’該顯示模組 中產生的分力、 !已圍第1項或第2項或第3項所述之運動 霞置,其中’該中控單元更具有一顯示模 ®是用於顯示前述動態影像,及運動過程 、合力大小與方向。 12201000175 X. Patent application scope: 1 _ A motion technology analysis and measurement device is installed on a sports equipment. The sports equipment has a shaft that can withstand gravity and extends along an X-axis. The motion analysis and measurement device comprises: The sensing unit has two sensors connected to the two ends of the shaft, and the sensors are for sensing the axis along an X-axis direction, a γ-axis direction, and a Z-axis direction. Load; a camera is mounted on one side of the shaft, and takes a dynamic image of the relative position of the human body and the shaft centered on the shaft; and the central control unit is based on the gravity information returned by the sensing unit And the moving image returned by the camera, calculate the component force and the combined force and direction generated during the movement. According to the motion technology analysis and measurement device described in claim 1 of the patent scope, the central control unit has a computer host, and the computer host and the 3 sense sensing unit and the camera are connected to each other through a wired communication technology. According to the motion technology analysis and measurement device described in claim 1 of the patent scope, wherein the φDi tra _ 伙 兀 兀 has a computer host, the computer host and the sensing units, robbery &planting; The patented range of technical analysis and measurement of the equipment is connected to each other through wireless communication technology. , 'The component force generated in the display module, ! has been placed around the first or the second or the third item, i.e., the central control unit has a display module® for display. The aforementioned dynamic image, and the motion process, the combined force size and direction. 12
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US20120150074A1 (en) * 2010-12-08 2012-06-14 EZ as a Drink Productions, Inc. Physical activity monitoring system
US9230064B2 (en) 2012-06-19 2016-01-05 EZ as a Drink Productions, Inc. Personal wellness device
US9229476B2 (en) 2013-05-08 2016-01-05 EZ as a Drink Productions, Inc. Personal handheld electronic device with a touchscreen on a peripheral surface
US9262064B2 (en) 2013-07-09 2016-02-16 EZ as a Drink Productions, Inc. Handheld computing platform with integrated pressure sensor and associated methods of use
TWI558391B (en) * 2014-07-15 2016-11-21 Electronically stimulated rehabilitation training equipment and its method
CN108043011A (en) * 2018-02-05 2018-05-18 南京佳普科技有限公司 Analysis of accounts system is examined in a kind of Portable horizontal bar chin-up
US10102345B2 (en) 2012-06-19 2018-10-16 Activbody, Inc. Personal wellness management platform
US10124246B2 (en) 2014-04-21 2018-11-13 Activbody, Inc. Pressure sensitive peripheral devices, and associated methods of use
US10133849B2 (en) 2012-06-19 2018-11-20 Activbody, Inc. Merchandizing, socializing, and/or gaming via a personal wellness device and/or a personal wellness platform

Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20120150074A1 (en) * 2010-12-08 2012-06-14 EZ as a Drink Productions, Inc. Physical activity monitoring system
US11064910B2 (en) * 2010-12-08 2021-07-20 Activbody, Inc. Physical activity monitoring system
US9230064B2 (en) 2012-06-19 2016-01-05 EZ as a Drink Productions, Inc. Personal wellness device
US10102345B2 (en) 2012-06-19 2018-10-16 Activbody, Inc. Personal wellness management platform
US10133849B2 (en) 2012-06-19 2018-11-20 Activbody, Inc. Merchandizing, socializing, and/or gaming via a personal wellness device and/or a personal wellness platform
US9229476B2 (en) 2013-05-08 2016-01-05 EZ as a Drink Productions, Inc. Personal handheld electronic device with a touchscreen on a peripheral surface
US9262064B2 (en) 2013-07-09 2016-02-16 EZ as a Drink Productions, Inc. Handheld computing platform with integrated pressure sensor and associated methods of use
US10124246B2 (en) 2014-04-21 2018-11-13 Activbody, Inc. Pressure sensitive peripheral devices, and associated methods of use
TWI558391B (en) * 2014-07-15 2016-11-21 Electronically stimulated rehabilitation training equipment and its method
CN108043011A (en) * 2018-02-05 2018-05-18 南京佳普科技有限公司 Analysis of accounts system is examined in a kind of Portable horizontal bar chin-up

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