維持身體系統的穩定性是人類必備的基本能力之一，而測力板是很常見被開發用於平衡感量測的裝置，然而，昂貴的造價與過大的體積與重量造成測力板不容易被消費者所接納，為了解決這個問題，本文的目標將提出一種方法來改善與校正兩塊低價測力板在評估人體姿勢穩定度的效能，為了實現目標，我們將介紹一種有系統的方式，來判定將應變規產生之電壓值轉換成地面反作用力的轉換系數。透過線性回歸的分析，本文也將介紹一種用於判斷測力板未知參數的方法
而上述提到的方法將用來改善實驗室自製的測力板以及小米體重計。在經過與AMTI測力板的效正後，將這兩個低價的設備做為靜止站立的量測裝置，量測到的壓力中心軌跡將會被用來做為評估人體姿態平衡感的依據。從15個受測者的實驗結果可得知，低價測力板與AMTI測力板在量測靜止站立時所獲得的COP平衡指標，經過統計分析後並沒有顯著性。

Maintaining balance is a fundamental human function. Conventionally, balance ability has been assessed by using force platform. However, the high cost and heavy weight of the conventional force platforms have hindered their employment. To address this problem, the goal of this work is to develop a procedure to revise and calibrate two low cost force plates for postural stability assessment. To achieve this goal, we introduce a systematic method to determine the conversion coefficient between the strain gauge generated voltages and the ground reaction force. Via linear regression, this study also introduces a technique to determine the unknown parameters of the force plates.
The proposed approach has been applied to an in-house developed force plate and a Xiaomi weight scale. After calibrated by an AMTI force platform, these two low cost devices were used to assess the quiet standing posture stability by measuring the trajectory of the center of pressure (COP). The experimental results obtained from fifteen test subjects show that differences between the COP features obtained by the low cost force plates and the AMTI force platform are not statistically significant.

論文審定書 i
致謝 ii
摘要 iii
Abstract iv
目錄 v
圖目錄 vii
表目錄 x
第一章 緒論 1
1.1 前言 1
1.2 研究動機與目的 2
1.3 文獻回顧 3
1.4 論文架構 4
第二章 實驗流程與設備 5
2.1 實驗對象 5
2.2 實驗流程 5
2.3 實驗設備 7
2.3.1 AMTI Force Plate 7
2.3.2 實驗室開發三軸測力板 9
2.3.3 小米體重計 11
2.4 訊號擷取程式 13
第三章 校正方法與評估標準 14
3.1訊號前處理 14
3.2電壓效正 15
3.3改善時間延遲 17
3.4 壓力中心與平衡感指標 18
3.4.1 壓力中心（Center of Pressure） 18
3.4.2平衡感指標 18
3.5 線性回歸分析(Linear Regression) 20
3.6 校正壓力中心(Center of Pressure, COP) 21
3.7 相關係數(Correlation Coefficient) 22
3.8 總諧波失真(Total Harmonic Distortion) 22
第四章 實驗結果與討論 23
4.1 電壓校正 23
4.2 改善時間延遲 28
4.3 壓力中心校正係數α與β 31
4.4 開眼閉眼靜止站立平衡指標在AMTI與低價測力板上比較 34
4.4.1 AMTI測力板與實驗室開發測力板開眼閉眼靜止站立比較 35
4.4.2 AMTI測力板與小米體重計開眼閉眼靜止站立比較 37
4.5 AMTI測力板與低價測力板平衡感指標比較 39
4.5.1 AMTI測力板與實驗室開發測力板平衡感指標比較 40
4.5.2 AMTI測力板與小米體重計平衡感指標比較 48
第五章 結論與未來展望 56
參考文獻 57

1. Advanced Mechanical Technology ,Inc ,AMTI. 1.7 ACG Manual and Install Guide plus cover. 2006
2. Advanced Mechanical Technology ,Inc ,AMTI. ACG Optimized ACS Optimized manual - rev 1
3. Winter, D.A, Patla,A.E, ,& Frank, J. S. (1990). Assessment of balance control in humans. Med Prog Technol, 16(1-2), 31-51.
4. Winter, D. A. (1995). Human balance and posture control during standing and walking. Gait & posture, 3(4), 193-214.
5. A. Karlsson, A., & Persson, T. (1997). The ankle strategy for postural control—a comparison between a model-based and a marker-based method. Computer methods and programs in biomedicine, 52(3), 165-173.
6. Chih-Yuan Hong, Lan-Yuen Guo, Rong Song, Mark L. Nagurka, Jia-Li Sung and Chen-Wen Yen. Assessing postural stability via the correlation patterns of vertical ground reaction components.
7. Thomas E. Prieto, Joel B. Myklebust, Raymond G. Hoffmann, Eric G. Lovett, Barbara M. Myklebust. Measures of Postural Steadiness: Differences Between Healthy Young and Elderly Adults. 1996.
8. Moghadam, M., Ashayeri, H., Salavati, M., Sarafzadeh, J., Taghipoor, K. D., Saeedi, A., & Salehi, R. (2011). Reliability of center of pressure measures of postural stability in healthy older adults: effects of postural task difficulty and cognitive load. Gait & posture, 33(4), 651-655.
9. Swanenburg, J., de Bruin, E. D., Favero, K., Uebelhart, D., & Mulder, T. (2008). The reliability of postural balance measures in single and dual tasking in elderly fallers and non-fallers. BMC musculoskeletal disorders, 9(1), 162.
10. Schepers, H. M., van Asseldonk, E. H., Buurke, J. H., & Veltink, P. H. (2009). Ambulatory estimation of center of mass displatement during walking. IEEE Transactions on Biomedical Engineering, 56(4), 1189-1195.
11. Vette, A. H., Masani, K., Sin, V., & Popovic, M. R. (2010). Posturographic measures in healthy young adults during quiet sitting in comparison with quiet standing. Medical engineering & physics, 32(1), 32-38.
12. King, D. L., & Zatsiorsky, V. M. (1997). Extracting gravity line displatement from stabilographic recordings. Gait & Posture, 6(1), 27-38.
13. Shimba, T. (1984). An estimation of center of gravity from force platform data. Journal of Biomechanics, 17(1), 53-60.
14. Duarte, M., Freitas, S. M. S. F., & Zatsiorsky, V. (2011). Control of equilibrium in humans—Sway over sway. Motor Control, Oxford University Press, Oxford, 219-242.
15. Caron, O., Faure, B., & Brenière, Y. (1997). Estimating the centre of gravity of the body on the basis of the centre of pressure in standing posture. Journal of biomechanics, 30(11), 1169-1171.