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直与曲的辩证--建筑中的直纹曲面与直线投射 被引量:1
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作者 慕鹏飞 鞠伟 《建筑与文化》 2020年第11期214-215,共2页
直与曲在建筑形式中一直作为对立元素出现,但实际上它们的界限并非表面那样清晰。文章试图以数个典型案例来阐释建筑中直与曲之间的模糊空间——直纹曲面与直线投射,来展现直与曲之间复杂的辩证关系。通过分析建筑的设计与建造过程,试... 直与曲在建筑形式中一直作为对立元素出现,但实际上它们的界限并非表面那样清晰。文章试图以数个典型案例来阐释建筑中直与曲之间的模糊空间——直纹曲面与直线投射,来展现直与曲之间复杂的辩证关系。通过分析建筑的设计与建造过程,试图挖掘以往杰出建筑师的一些独特的思考方式,明确"降维""升维"两种不同思维逻辑之间的差异,并对建筑设计中的理性与感性进行探讨,为之后类似的设计提供理论基础。 展开更多
关键词 直与曲 直纹曲面 直线投射 升维与降维
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应用直线辅助投射法解决画法几何中图解问题 被引量:1
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作者 张桂梅 鲁宇明 《南昌航空工业学院学报》 CAS 2002年第4期51-54,共4页
由于在工程图学中 ,用正投影法解决画法几何中的某些度量和定位问题往往很不方便。为了简化作图 ,本文介绍了直线辅助投射法及其在解决一些工程图学问题中的应用。该法具有作图简便、应用范围广的特点。
关键词 直线辅助投射 余角辅助投射 直角辅助投射
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关于高等几何对中学几何指导意义的研究 被引量:2
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作者 曾彩云 《陕西教育学院学报》 1995年第2期63-67,共5页
本文遵循学用结合和学以致用的原则,从三个方面阐述了如何用高等几何的基本内容、思想和方法指导中学几何教材,解决中学几何问题,论证了在中学数学中渗透现代数学思想方法的必要性和可行性。
关键词 克莱因的群论观点 变换群与几何学 几何空间 二次曲线的仿射性质 圆点 直线投射到无穷远 点线结合命题 几何作图问题
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Calibration method for multi-line structured light vision sensor based on Plücker line 被引量:2
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作者 QIN Guan-yu WANG Xiang-jun YIN Lei 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2020年第2期103-111,共9页
For the rapid calibration of multi-line structured light system,a method based on Plücker line was proposed.Most of the conventional line-structured light calibration methods extract the feature points and transf... For the rapid calibration of multi-line structured light system,a method based on Plücker line was proposed.Most of the conventional line-structured light calibration methods extract the feature points and transform the coordinates of points to obtain the plane equation.However,a large number of points lead to complicated operation which is not suitable for the application scenarios of multi-line structured light.To solve this issue,a new calibration method was proposed that applied the form of Plücker matrix throughout the whole calibration process,instead of using the point characteristics directly.The advantage of this method is that the light plane equation can be obtained quickly and accurately in the camera coordinate frame.Correspondingly a planar target particularly for calibrating multi-line structured light was also designed.The regular lines were transformed into Plücker lines by extending the two-dimensional image plane and defining a new image space.To transform the coordinate frame of Plücker lines,the perspective projection mathematical model was re-expressed based on the Plücker matrix.According to the properties of the line and plane in the Plücker space,a linear matrix equation was efficiently constructed by combining the Plücker matrices of several coplanar lines so that the line-structured light plane equation could be furtherly solved.The experiments performed validate the proposed method and demonstrate the significant improvement in the calibration accuracy,when the test distance is 1.8 m,the root mean square(RMS)error of the three-dimensional point is within 0.08 mm. 展开更多
关键词 multi-line structured light Plücker line CALIBRATION perspective projection plane fitting
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