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基于多級三角形面積函數的傅里葉形狀描述子

Fourier shape descriptor based on multi-level triangular area functions

  • 摘要: 提出了一種用于形狀檢索的基于多級三角形面積函數的傅里葉描述子.對形狀輪廓上任一點,多級三角形面積函數通過輪廓的非等弧長分割計算得出,可以很好地描述形狀的整體特征和局部細節特征.形狀特征向量由多級三角形面積函數的低頻傅里葉變換系數構成.在標準的MPEG-7形狀圖像庫上對該方法進行了圖像檢索實驗,并與已有的分別基于中心距離函數、面積函數、最遠點距離函數、角度半徑復函數、拱高半徑復函數的傅里葉描述子以及混合傅里葉描述子進行了檢索性能比較.實驗結果表明,所提出的方法在相同查全率時具有最高的查準率,且具有較低的計算復雜度,證明該方法的有效性.

     

    Abstract: A novel Fourier descriptor based on multi-level triangular area functions (MTA) was proposed for shape retrieval. For each point on the shape contour, MTA values were derived from unequal-arc-length partitions of the shape contour. The MTA can finely capture the global features and local contour variations of the contour and their low-frequency Fourier coefficients were regarded as the feature vector for shape description. The image retrieval performance of the proposed method was evaluated on the standard MPEG-7 shape database and compared with those of Fourier descriptors derived from the centroid distance function, area function, farthest point distance function, angular radius function, arc-height radius complex function, and the combined Fourier descriptor. Experimental results demonstrate that the proposed method reaches the highest precision at the same recall value and has low complexity among these descriptors, showing its effectiveness.

     

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