CAJ | 학술논문

曲率属性近年来在构造识别和解释上得到了迅速的发展和应用,而曲率计算通常使用3×3网格单元对局部曲面作最小二乘法逼近,由 Roberts 推导并给出了具体的计算公式,该方法在求取曲率值时带来了大量噪声.采用5×5网格单元对局部曲面进行最小二乘法拟合,导出了5×5网格单元求取曲率的计算公式,并对3×3网格、5×5跳点网格、5×5网格求取曲率的结果进行了对比.结果表明,改进后的曲率计算方法抗噪能力显著增强.
곡솔속성근년래재구조식별화해석상득도료신속적발전화응용,이곡솔계산통상사용3×3망격단원대국부곡면작최소이승법핍근,유 Roberts 추도병급출료구체적계산공식,해방법재구취곡솔치시대래료대량조성.채용5×5망격단원대국부곡면진행최소이승법의합,도출료5×5망격단원구취곡솔적계산공식,병대3×3망격、5×5도점망격、5×5망격구취곡솔적결과진행료대비.결과표명,개진후적곡솔계산방법항조능력현저증강.
The previous researches calculated the curvature by using the least square method to approximate the local surface with 3′3 grid. Its specific calculation formula is deduced by Roberts. The aperture brings a lot of noise when we calculate the value of the curvature. In order to solve this problem, we use the least square method to approximate the local surface with 5′5 grid, give the detailed calculation formula and then compare with the results got by 3′3 grid, 5′5 jumping grid and 5′5 grid. The results prove that the improved curveture methods has enhanced the anti-noise ability.