CAJ | 학술논문

针对不规则区域面积测算中定位精度和面积计算精度两方面不足,提出一种定位精度高、面积误差小的面积测算新方法。其采用一种组合定位方法精确定位,即将差分GPS测量系统( DGPS)与马尔可夫链蒙特卡罗( Markov chain Monte Carol,MCMC)粒子滤波相结合,再配合复化Newton-cotes算法,拟合边界曲线并准确求得区域面积。将MCMC粒子滤波应用于DGPS定位数据处理,其既可处理非高斯分布噪声,又解决粒子滤波( PF)的粒子退化问题,提高定位精度。将复化Newton-cotes算法应用于面积计算,其既避免高次插值的舍入误差,又将面积区间进一步细分,提高面积计算精度。实验结果表明,该新方法定位精度更高,面积误差更小。
침대불규칙구역면적측산중정위정도화면적계산정도량방면불족,제출일충정위정도고、면적오차소적면적측산신방법。기채용일충조합정위방법정학정위,즉장차분GPS측량계통( DGPS)여마이가부련몽특잡라( Markov chain Monte Carol,MCMC)입자려파상결합,재배합복화Newton-cotes산법,의합변계곡선병준학구득구역면적。장MCMC입자려파응용우DGPS정위수거처리,기기가처리비고사분포조성,우해결입자려파( PF)적입자퇴화문제,제고정위정도。장복화Newton-cotes산법응용우면적계산,기기피면고차삽치적사입오차,우장면적구간진일보세분,제고면적계산정도。실험결과표명,해신방법정위정도경고,면적오차경소。
To improve disadvantages of irregular-area measurement in positioning accuracy and area calculation accuracy, a new area measuring method which has characteristics of high precision and tiny area error was proposed in this paper. It combined the differential GPS measurement system and Markov chain Monte Carol particle filter to locate. And it fitted the boundary curve and calculated areas through the compound Newton-cotes algorithm. The new method used MCMC particle filter to process GPS da-ta. The filter algorithm processed the non-Gaussian distribution noise and improved particle degradation. And the new method used compound Newton-cotes algorithm to calculate the area. The quadrature algorithm avoided the rounding error brought by the high-order interpolation, and further subdivided the area. Therefore, the new method improved positioning accuracy and area calculation accuracy. Experimental results show that the new method has characteristics of high accuracy and tiny errors.