{"title":"创新蛋形计算中体积方程的准确性:使用形状函数来增强补偿系数","authors":"Ching-Wei Cheng , Ko-Jung Huang , Yu-Kai Weng , Ping-Kun Tsai , Chia-Chun Lai","doi":"10.1016/j.biosystemseng.2025.104253","DOIUrl":null,"url":null,"abstract":"<div><div>This study employs a non-traditional approach in the volume equation for eggs, emphasising the introduction of an innovative shape function (<span><math><mrow><mfrac><msub><mi>x</mi><mi>m</mi></msub><mi>a</mi></mfrac></mrow></math></span>) in the design of compensation coefficients. While the volume equation itself is not a novel method, the application of the newly proposed shape function in compensation coefficients, based on easily measurable shape parameters (<span><math><mrow><msub><mi>x</mi><mi>m</mi></msub></mrow></math></span>, <span><math><mrow><msub><mi>b</mi><mi>m</mi></msub></mrow></math></span> and <em>a</em>), significantly reduced calculation errors. Experimental results demonstrated that, in the validation of chicken and duck eggs, the error ranged between 2.43 % and −1.17 %, and 2.65 % to −1.75 %, respectively. This not only enhances the accuracy of volume calculations but also highlights the good performance of this new shape function in improving calculation precision. The introduction of this method has far-reaching academic implications for egg volume calculations and opens new research avenues for the application of shape functions in compensation coefficient design, and offering abundant possibilities for future studies.</div></div>","PeriodicalId":9173,"journal":{"name":"Biosystems Engineering","volume":"257 ","pages":"Article 104253"},"PeriodicalIF":5.3000,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Accuracy of volume equations in innovative egg-shaped calculations: Using shape functions to enhance compensation coefficients\",\"authors\":\"Ching-Wei Cheng , Ko-Jung Huang , Yu-Kai Weng , Ping-Kun Tsai , Chia-Chun Lai\",\"doi\":\"10.1016/j.biosystemseng.2025.104253\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study employs a non-traditional approach in the volume equation for eggs, emphasising the introduction of an innovative shape function (<span><math><mrow><mfrac><msub><mi>x</mi><mi>m</mi></msub><mi>a</mi></mfrac></mrow></math></span>) in the design of compensation coefficients. While the volume equation itself is not a novel method, the application of the newly proposed shape function in compensation coefficients, based on easily measurable shape parameters (<span><math><mrow><msub><mi>x</mi><mi>m</mi></msub></mrow></math></span>, <span><math><mrow><msub><mi>b</mi><mi>m</mi></msub></mrow></math></span> and <em>a</em>), significantly reduced calculation errors. Experimental results demonstrated that, in the validation of chicken and duck eggs, the error ranged between 2.43 % and −1.17 %, and 2.65 % to −1.75 %, respectively. This not only enhances the accuracy of volume calculations but also highlights the good performance of this new shape function in improving calculation precision. The introduction of this method has far-reaching academic implications for egg volume calculations and opens new research avenues for the application of shape functions in compensation coefficient design, and offering abundant possibilities for future studies.</div></div>\",\"PeriodicalId\":9173,\"journal\":{\"name\":\"Biosystems Engineering\",\"volume\":\"257 \",\"pages\":\"Article 104253\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Biosystems Engineering\",\"FirstCategoryId\":\"97\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1537511025001898\",\"RegionNum\":1,\"RegionCategory\":\"农林科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"AGRICULTURAL ENGINEERING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Biosystems Engineering","FirstCategoryId":"97","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1537511025001898","RegionNum":1,"RegionCategory":"农林科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AGRICULTURAL ENGINEERING","Score":null,"Total":0}
Accuracy of volume equations in innovative egg-shaped calculations: Using shape functions to enhance compensation coefficients
This study employs a non-traditional approach in the volume equation for eggs, emphasising the introduction of an innovative shape function () in the design of compensation coefficients. While the volume equation itself is not a novel method, the application of the newly proposed shape function in compensation coefficients, based on easily measurable shape parameters (, and a), significantly reduced calculation errors. Experimental results demonstrated that, in the validation of chicken and duck eggs, the error ranged between 2.43 % and −1.17 %, and 2.65 % to −1.75 %, respectively. This not only enhances the accuracy of volume calculations but also highlights the good performance of this new shape function in improving calculation precision. The introduction of this method has far-reaching academic implications for egg volume calculations and opens new research avenues for the application of shape functions in compensation coefficient design, and offering abundant possibilities for future studies.
期刊介绍:
Biosystems Engineering publishes research in engineering and the physical sciences that represent advances in understanding or modelling of the performance of biological systems for sustainable developments in land use and the environment, agriculture and amenity, bioproduction processes and the food chain. The subject matter of the journal reflects the wide range and interdisciplinary nature of research in engineering for biological systems.