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二次曲线(面)所围图形的面(体)积 被引量:1
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作者 汤宇 赵虹 《长春师范学院学报(自然科学版)》 2013年第1期4-6,10,共4页
本文首先讨论二元(三元)二次曲线(面)所围封闭图形的面(体)积计算,之后将结果推广到n元二次曲面所围n维封闭图形的体积,并给出所围n维封闭图形体积的一般表达式。
关键词 (线) n维超椭球体 体积 欧拉函数
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The quadratic B-spline curve fitting for the shape of log cross sections 被引量:2
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作者 任洪娥 吴妍 朱哓明 《Journal of Forestry Research》 SCIE CAS CSCD 2006年第2期150-152,共3页
This paper describes a new method for simulation of the cross section shape of log. The self-developed MQK3102 log shape recognizing machine was used to acquire the finite discrete sampling points on the cross section... This paper describes a new method for simulation of the cross section shape of log. The self-developed MQK3102 log shape recognizing machine was used to acquire the finite discrete sampling points on the cross section of log and those points were fitted with the quadratic B-spline parametric curve. This method can clearly stimulate the real shape of the log cross section and is characterized by limited sampling points and high speed computing. The computed result of the previous curve does not affect the next one, which may avoid the graphic distortion caused by the accumulative error. The method can be used to simulate the whole body shape of log approximately by sampling the cross sections along the length direction of log, thus providing a reference model for optimum saw cutting of log. 展开更多
关键词 Quadratic B-spline curve Cross section shape LOG Computer simulation Optimum saw cutting
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On a Fixed Value Theorem for Directed Areas in Conic Circumscribed Polygons and Applications 被引量:2
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作者 YU De-sheng 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第4期485-490,共6页
Using polar equations for conic sections, we research conic circumscribed n-sided polygons(n ≥ 4) deeply on the basis of papers[1-3]. We obtain a general fixed value theorem for directed areas of some triangles in ... Using polar equations for conic sections, we research conic circumscribed n-sided polygons(n ≥ 4) deeply on the basis of papers[1-3]. We obtain a general fixed value theorem for directed areas of some triangles in conic circumscribed n-sided polygons and derive as many as n(n - 3) concurrent points of three lines and some other collinear, equiareal results in conic circumscribed n-sided polygons(n ≥ 4). So the results of papers[1-3] are unified. 展开更多
关键词 conic circumscribed polygon (directed) area fixed value CONCURRENT COLLINEAR
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Self-calibration Applied in Converting Simulation Surveying
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作者 WANG Ren ZHU Xinhui 《Geo-Spatial Information Science》 2007年第1期57-60,共4页
In the field of converting simulation surveying and traditional close range photogrammetry, it has been developed so far to survey objects by commercial digital camera and this technique is applied widely in every par... In the field of converting simulation surveying and traditional close range photogrammetry, it has been developed so far to survey objects by commercial digital camera and this technique is applied widely in every part of production. In order to get three-dimensional information of objects, commercial digital camera must be examined. For a long time, digital camera has been examined by DLT. Then there must be a high-precision control field. For realizing surveying without control points, a method for self-calibration is proposed. 展开更多
关键词 absolute conic absolute quadric SELF-CALIBRATION
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