量子粒子群优化最小二乘支持向量机的立木材积估算

杨立岩; 冯仲科; 刘迎春; 刘金成; 杨立岩; 冯仲科; 刘迎春; 刘金成

doi:10.11833/j.issn.2095-0756.2018.05.011

[1]

中华人民共和国国家林业局.二元立木材积表编制技术规程: LY/T 2102-2013[S].北京: 中国标准出版社, 2013.

[2]

曹忠.立木材积无损精测与建模方法研究[D].北京: 北京林业大学, 2015.

CAO Zhong. Study on Nondestructive Measurement and Modeling Methods for Standing Tree Volume[D]. Beijing: Beijing Forestry University, 2015.

[3]

刘琪璟.中国立木材积表[M].北京:中国林业出版社, 2017.

[4]

陈章水.杨树二元立木材积表的编制[J].林业科学研究, 1989, 2(1):78-83.

CHEN Zhangshui. The establishment of binomial stock volume tables of poplar[J]. For Res, 1989, 2(1):78-83.

[5]

李晖, 曾伟生.不同区域落叶松二元立木材积表的检验及差异分析[J].林业科学, 2016, 52(6):157-162.

LI Hui, ZENG Weisheng. Validation and comparison of two-variable tree volume tables for Larix spp. in different regions of China[J]. Sci Silv Sin, 2016, 52(6):157-162.

[6]

STOLARIKOVÁ R, ŠÁLEK L, ZAHRADNíK D, et al. Comparison of tree volume equations for small-leaved lime (Tilia cordata Mill.) in the Czech Republic[J]. Scand J For Res, 2014, 29(8):757-763.

[7]

BI H Q, HAMILTON F. Stem volume equations for native tree species in southern New South Wales and Victoria[J]. Aust For, 1998, 61(4):275-286.

[8]

CORTES C, VAPNIK V. Support-Vector networks[J]. Mach Learn, 1995, 20(3):273-297.

[9]

VAPNIK V N. The nature of statistical learning theory[J]. IEEE Trans Neural Networks, 2002, 8(6):1564.

[10]

SUYKENS J A K, VANDEWALLE J. Least squares support vector machine classifiers[J]. Neural Process Lett, 1999, 9(3):293-300.

[11]

SUN Jun, FENG Bin, XU Wenbo. Particle Swarm Optimization with Particles Having Quantum Behavior[M]. Portland, USA:IEEE, 2004:325-331.

[12]

孟宪宇.测树学[M]. 3版.北京:中国林业出版社, 2008.

[13]

何诚, 冯仲科, 袁进军, 等.基于数字高程模型的树木三维体积测量[J].农业工程学报, 2012, 28(8):195-199.

HE Cheng, FENG Zhongke, YUAN Jinjun, et al. Three-dimensional volume measurement of trees based on digital elevation model[J]. Trans Chin Soc Agric Eng, 2012, 28(8):195-199.

[14]

陈金星, 岳德鹏, 冯仲科, 等.手持式树径自动识别测树仪的研制与应用[J].浙江农林大学学报, 2016, 33(4):589-598.

CHEN Jinxing, YUE Depeng, FENG Zhongke, et al. A handheld dendrometer for automatic tree diameter measurement[J]. J Zhejiang A&F Univ, 2016, 33(4):589-598.

[15]

王佳, 杨慧乔, 冯仲科.基于三维激光扫描的树木三维绿量测定[J].农业机械学报, 2013, 44(8):229-233.

WANG Jia, YANG Huiqiao, FENG Zhongke. Tridimensional green biomass measurement for trees using 3-D laser scanning[J]. Trans Chin Soc Agric Mach, 2013, 44(8):229-233.

[16]

赵芳, 冯仲科, 高祥, 等.树冠遮挡条件下全站仪测量树高及材积方法[J].农业工程学报, 2014, 30(2):182-190.

ZHAO Fang, FENG Zhongke, GAO Xiang, et al. Measure method of tree height and volume using total station under canopy cover condition[J]. Trans Chin Soc Agric Eng, 2014, 30(2):182-190.

[17]

冯仲科, 刘金成, 杨立岩. CCD组合全站仪摄影基站摄影测量方法: CN201510602572.1[P/OL].[2017-03-08]. http://www.vipzhuanli.com/patent/201510602572.1.

[18]

于东海, 冯仲科, 曹忠, 等.全站仪测量立木胸径树高及材积的误差分析[J].农业工程学报, 2016, 32(17):160-167.

YU Donghai, FENG Zhongke, CAO Zhong, et al. Error analysis of measuring diameter at breast height and tree height and volume of standing tree by total station[J]. Trans Chin Soc Agric Eng, 2016, 32(17):160-167.

[19]

王智超, 冯仲科, 闫飞, 等.全站仪测树的内外业一体化方法研究[J].西北林学院学报, 2013, 28(6):134-138.

WANG Zhichao, FENG Zhongke, YAN Fei, et al. Integrated indoor and field forest measurement by using total station[J]. J Northwest For Univ, 2013, 28(6):134-138.

[20]

韦雪花, 王永国, 郑君, 等.基于三维激光扫描点云的树冠体积计算方法[J].农业机械学报, 2013, 44(7):235-240.

WEI Xuehua, WANG Yongguo, ZHENG Jun, et al. Tree crown volume calculation based on 3-D laser scanning point clouds data[J]. Trans Chin Soc Agric Mach, 2013, 44(7):235-240.

[21]

刘金成, 黄晓东, 杨立岩, 等.基于CCD超站仪的森林样地建立与精测方法研究[J].农业机械学报, 2016, 47(11):316-321.

LIU Jincheng, HUANG Xiaodong, YANG Liyan, et al. Establishment and precise measurement of forest sample plot based on CCD super station[J]. Trans Chin Soc Agric Mach, 2016, 47(11):316-321.

[22]

焦有权, 冯仲科, 高原, 等.用光电经纬仪对无伐倒活立木材积精准计测[J].中南林业科技大学学报, 2013, 33(10):25-29.

JIAO Youquan, FENG Zhongke, GAO Yuan, et al. Live standing tree volume through the photoelectric theodolite accurate measurement[J]. J Cent South Univ For Technol, 2013, 33(10):25-29.

[23]

曹忠, 巩奕成, 冯仲科, 等.电子经纬仪测量立木材积误差分析[J].农业机械学报, 2015, 46(1):292-298.

CAO Zhong, GONG Yicheng, FENG Zhongke, et al. Error analysis on standing tree volume measurement by using electronic theodolites[J]. Trans Chin Soc Agric Mach, 2015, 46(1):292-298.

[24]

焦有权, 冯仲科, 赵礼曦, 等. PSO嵌入SVM算法的活立木材积预报研究[J].光谱学与光谱分析, 2014, 34(1):175-179.

JIAO Youquan, FENG Zhongke, ZHAO Lixi, et al. Research on living tree volume forecast based on PSO Embedding SVM[J]. Spectrosc Spectr Anal, 2014, 34(1):175-179.

[25]

HE Cheng, HONG Xiafang, LIU Kezhen, et al. An improved technique for non-destructive measurement of the stem volume of standing wood[J]. South For A J For Sci, 2016, 78(1):53-60.

[26]

SCHÖLKOPF B, SUNG K K, BURGES C J C, et al. Comparing support vector machines with Gaussian kernels to radial basis function classifiers[J]. IEEE Trans Sign Process, 1996, 45(11):2758-2765.

[27]

FERNANDEZ-MARTINEZ J L, GARCIA-GONZALO E. Stochastic stability analysis of the linear continuous and discrete PSO models[J]. IEEE Trans Evol Comput, 2011, 15(3):405-423.

[28]

管芳景, 须文波, 孙俊, 等. QPSO算法求解无约束多目标优化问题[J].计算机工程与设计, 2007, 28(14):3285-3287, 3290.

GUAN Fangjing, XU Wenbo, SUN Jun, et al. QPSO algorithm for unconstraint multi-objective optimization problem[J]. Comput Eng Des, 2007, 28(14):3285-3287, 3290.

[29]

李玉军, 汤晓君, 刘君华.基于粒子群优化的最小二乘支持向量机在混合气体定量分析中的应用[J].光谱学与光谱分析, 2010, 30(3):774-778.

LI Yujun, TANG Xiaojun, LIU Junhua. Application of least square support vector machine based on Particle Swarm Optimization in quantitative analysis of gas mixture[J]. Spectrosc Spectr Anal, 2010, 30(3):774-778.

[1]	中华人民共和国国家林业局.二元立木材积表编制技术规程: LY/T 2102-2013[S].北京: 中国标准出版社, 2013.
[2]	曹忠.立木材积无损精测与建模方法研究[D].北京: 北京林业大学, 2015. CAO Zhong. Study on Nondestructive Measurement and Modeling Methods for Standing Tree Volume[D]. Beijing: Beijing Forestry University, 2015.
[3]	刘琪璟.中国立木材积表[M].北京:中国林业出版社, 2017.
[4]	陈章水.杨树二元立木材积表的编制[J].林业科学研究, 1989, 2(1):78-83. CHEN Zhangshui. The establishment of binomial stock volume tables of poplar[J]. For Res, 1989, 2(1):78-83.
[5]	李晖, 曾伟生.不同区域落叶松二元立木材积表的检验及差异分析[J].林业科学, 2016, 52(6):157-162. LI Hui, ZENG Weisheng. Validation and comparison of two-variable tree volume tables for Larix spp. in different regions of China[J]. Sci Silv Sin, 2016, 52(6):157-162.
[6]	STOLARIKOVÁ R, ŠÁLEK L, ZAHRADNíK D, et al. Comparison of tree volume equations for small-leaved lime (Tilia cordata Mill.) in the Czech Republic[J]. Scand J For Res, 2014, 29(8):757-763.
[7]	BI H Q, HAMILTON F. Stem volume equations for native tree species in southern New South Wales and Victoria[J]. Aust For, 1998, 61(4):275-286.
[8]	CORTES C, VAPNIK V. Support-Vector networks[J]. Mach Learn, 1995, 20(3):273-297.
[9]	VAPNIK V N. The nature of statistical learning theory[J]. IEEE Trans Neural Networks, 2002, 8(6):1564.
[10]	SUYKENS J A K, VANDEWALLE J. Least squares support vector machine classifiers[J]. Neural Process Lett, 1999, 9(3):293-300.
[11]	SUN Jun, FENG Bin, XU Wenbo. Particle Swarm Optimization with Particles Having Quantum Behavior[M]. Portland, USA:IEEE, 2004:325-331.
[12]	孟宪宇.测树学[M]. 3版.北京:中国林业出版社, 2008.
[13]	何诚, 冯仲科, 袁进军, 等.基于数字高程模型的树木三维体积测量[J].农业工程学报, 2012, 28(8):195-199. HE Cheng, FENG Zhongke, YUAN Jinjun, et al. Three-dimensional volume measurement of trees based on digital elevation model[J]. Trans Chin Soc Agric Eng, 2012, 28(8):195-199.
[14]	陈金星, 岳德鹏, 冯仲科, 等.手持式树径自动识别测树仪的研制与应用[J].浙江农林大学学报, 2016, 33(4):589-598. CHEN Jinxing, YUE Depeng, FENG Zhongke, et al. A handheld dendrometer for automatic tree diameter measurement[J]. J Zhejiang A&F Univ, 2016, 33(4):589-598.
[15]	王佳, 杨慧乔, 冯仲科.基于三维激光扫描的树木三维绿量测定[J].农业机械学报, 2013, 44(8):229-233. WANG Jia, YANG Huiqiao, FENG Zhongke. Tridimensional green biomass measurement for trees using 3-D laser scanning[J]. Trans Chin Soc Agric Mach, 2013, 44(8):229-233.
[16]	赵芳, 冯仲科, 高祥, 等.树冠遮挡条件下全站仪测量树高及材积方法[J].农业工程学报, 2014, 30(2):182-190. ZHAO Fang, FENG Zhongke, GAO Xiang, et al. Measure method of tree height and volume using total station under canopy cover condition[J]. Trans Chin Soc Agric Eng, 2014, 30(2):182-190.
[17]	冯仲科, 刘金成, 杨立岩. CCD组合全站仪摄影基站摄影测量方法: CN201510602572.1[P/OL].[2017-03-08]. http://www.vipzhuanli.com/patent/201510602572.1.
[18]	于东海, 冯仲科, 曹忠, 等.全站仪测量立木胸径树高及材积的误差分析[J].农业工程学报, 2016, 32(17):160-167. YU Donghai, FENG Zhongke, CAO Zhong, et al. Error analysis of measuring diameter at breast height and tree height and volume of standing tree by total station[J]. Trans Chin Soc Agric Eng, 2016, 32(17):160-167.
[19]	王智超, 冯仲科, 闫飞, 等.全站仪测树的内外业一体化方法研究[J].西北林学院学报, 2013, 28(6):134-138. WANG Zhichao, FENG Zhongke, YAN Fei, et al. Integrated indoor and field forest measurement by using total station[J]. J Northwest For Univ, 2013, 28(6):134-138.
[20]	韦雪花, 王永国, 郑君, 等.基于三维激光扫描点云的树冠体积计算方法[J].农业机械学报, 2013, 44(7):235-240. WEI Xuehua, WANG Yongguo, ZHENG Jun, et al. Tree crown volume calculation based on 3-D laser scanning point clouds data[J]. Trans Chin Soc Agric Mach, 2013, 44(7):235-240.
[21]	刘金成, 黄晓东, 杨立岩, 等.基于CCD超站仪的森林样地建立与精测方法研究[J].农业机械学报, 2016, 47(11):316-321. LIU Jincheng, HUANG Xiaodong, YANG Liyan, et al. Establishment and precise measurement of forest sample plot based on CCD super station[J]. Trans Chin Soc Agric Mach, 2016, 47(11):316-321.
[22]	焦有权, 冯仲科, 高原, 等.用光电经纬仪对无伐倒活立木材积精准计测[J].中南林业科技大学学报, 2013, 33(10):25-29. JIAO Youquan, FENG Zhongke, GAO Yuan, et al. Live standing tree volume through the photoelectric theodolite accurate measurement[J]. J Cent South Univ For Technol, 2013, 33(10):25-29.
[23]	曹忠, 巩奕成, 冯仲科, 等.电子经纬仪测量立木材积误差分析[J].农业机械学报, 2015, 46(1):292-298. CAO Zhong, GONG Yicheng, FENG Zhongke, et al. Error analysis on standing tree volume measurement by using electronic theodolites[J]. Trans Chin Soc Agric Mach, 2015, 46(1):292-298.
[24]	焦有权, 冯仲科, 赵礼曦, 等. PSO嵌入SVM算法的活立木材积预报研究[J].光谱学与光谱分析, 2014, 34(1):175-179. JIAO Youquan, FENG Zhongke, ZHAO Lixi, et al. Research on living tree volume forecast based on PSO Embedding SVM[J]. Spectrosc Spectr Anal, 2014, 34(1):175-179.
[25]	HE Cheng, HONG Xiafang, LIU Kezhen, et al. An improved technique for non-destructive measurement of the stem volume of standing wood[J]. South For A J For Sci, 2016, 78(1):53-60.
[26]	SCHÖLKOPF B, SUNG K K, BURGES C J C, et al. Comparing support vector machines with Gaussian kernels to radial basis function classifiers[J]. IEEE Trans Sign Process, 1996, 45(11):2758-2765.
[27]	FERNANDEZ-MARTINEZ J L, GARCIA-GONZALO E. Stochastic stability analysis of the linear continuous and discrete PSO models[J]. IEEE Trans Evol Comput, 2011, 15(3):405-423.
[28]	管芳景, 须文波, 孙俊, 等. QPSO算法求解无约束多目标优化问题[J].计算机工程与设计, 2007, 28(14):3285-3287, 3290. GUAN Fangjing, XU Wenbo, SUN Jun, et al. QPSO algorithm for unconstraint multi-objective optimization problem[J]. Comput Eng Des, 2007, 28(14):3285-3287, 3290.
[29]	李玉军, 汤晓君, 刘君华.基于粒子群优化的最小二乘支持向量机在混合气体定量分析中的应用[J].光谱学与光谱分析, 2010, 30(3):774-778. LI Yujun, TANG Xiaojun, LIU Junhua. Application of least square support vector machine based on Particle Swarm Optimization in quantitative analysis of gas mixture[J]. Spectrosc Spectr Anal, 2010, 30(3):774-778.