基于少数参数表征的西红柿形态三维几何建模
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(1. 江苏大学食品物理加工研究院,江苏 镇江 212013;2. 中国农业科学院麻类研究所,湖南 长沙 410205;3. 美国加州大学戴维斯分校生物与农业工程系,美国 加州 95616;4. 镇江美博红外科技有限公司,江苏 镇江 212013)

作者简介:

刘莹,女,江苏大学在读博士研究生。

通讯作者:

曲文娟(1980—),女,江苏大学教授,博士。E-mail: wqu@ujs.edu.cn

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基金项目:

国家重点研发计划政府间国际科技创新合作重点专项(编号:2017YFE0105300);江苏省“六大人才高峰”高层次人才项目(编号:NY-010);湖南省自然科学基金(编号:2020JJ5640);中央级科研院所基本科研业务费专项(编号:161024202105)


Three-dimensional geometric modeling of tomato morphology based on representation of few parameters
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(1. Institute of Food Physical Processing, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2. Institute of Bast Fiber Crops, Chinese Academy of Agricultural Sciences, Changsha, Hunan 410205, China; 3. Department of Biological and Agricultural Engineering, University of California, Davis, California 95616, USA; 4. Maybo Innovation Co., Ltd., Zhenjiang, Jiangsu 212013, China)

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    摘要:

    目的:实现西红柿形状的三维可视化模拟。方法:推导了一个新的西红柿形状方程,该形状方程以半径为函数,包含尺寸参数和形状描述系数。通过测量西红柿的尺寸参数计算几何模型的形状描述系数(a、b、c1、c2),建立西红柿的三维几何模型,并建立其与西红柿质量和高度的关联。此外通过质量和表面积的实测值与预测值比较来验证该模型的拟合程度。结果:根据尺寸参数和形状描述系数建立的西红柿三维几何模型可以精确直观地描述西红柿的茎端局部缩进特征,计算获得形状描述系数a、b、c1、c2的范围分别为21.78~28.58,30.50~34.54,0.19~0.53,0.04~0.31 mm,提高了模型的适用性。研究发现系数a和b与西红柿的高度和质量之间具有较高的线性相关性(R2>0.85),表明该方程可以用少量的参数迅速描述出西红柿的重要形状特征;质量和表面积的实测值与模型预测值之间的相对百分误差(ERPE)为5.46%和10.24%,R2为0.85和0.81,表明所建立的模型可准确量化西红柿的质量和表面积等几何属性。结论:提出的西红柿三维几何建模方法能够直观、迅速且精确地表征西红柿的几何形状,适用性强,在西红柿相关的计算机辅助设计和仿真中具有良好的应用潜力。

    Abstract:

    Objective: This study aimed to realizing the three-dimensional visual simulation of the morphological structure of tomatoes. Methods: A new tomato shape equation was derived, which took the radius as a function and included size parameters and shape description coefficients. By calculating the geometric model description coefficients (a, b, c1, c2) based on the measured values of the main size parameters of the tomatoes, a three-dimensional geometric model of tomatoes was developed and established their correlation with the weight and height of the tomatoes. Moreover, the accuracy of the model was verified by comparing the measured and predicted values of weight and surface area. Results: The three-dimensional geometric model of tomatoes established based on the size parameters and shape description coefficients could accurately and intuitively describe the local indentation characteristics of the stem ends of tomatoes. The ranges of shape description coefficients a, b, c1, and c2 were 21.78~28.58, 30.50~34.54, 0.19~0.53 and 0.04~0.31 mm, respectively, applicability of the model. The study found that coefficients a and b had a high linear correlation with the height and weight of tomatoes (R2>0.85), indicating that the equation could capture important shape characteristics of tomatoes through simple measurements. The relative percentage error (ERPE) between the measured values and the model predicted values of weight and surface area was 5.46% and 10.24%, and R2 was 0.85 and 0.81, which indicated that the established equations and models could be used to quantify the geometric properties of tomatoes such as weight and surface area. Conclusion: The three-dimensional geometric modeling method of tomatoes proposed in this paper could intuitively, quickly and accurately represent the geometric shape of tomatoes and had strong applicability and exemplary performance in tomato-related computer-aided design and simulation.

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刘莹,王满生,曲文娟,等.基于少数参数表征的西红柿形态三维几何建模[J].食品与机械,2021,(9):15-22.
LIUYing, WANGMansheng, QUWenjuan, et al. Three-dimensional geometric modeling of tomato morphology based on representation of few parameters[J]. Food & Machinery,2021,(9):15-22.

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  • 收稿日期:2021-06-03
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  • 在线发布日期: 2023-02-15
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