\BOOKMARK [1][-]{section.1}{引言}{}% 1 \BOOKMARK [1][-]{section.2}{形状参数(Shape parameters)}{}% 2 \BOOKMARK [2][-]{subsection.2.1}{重心(Center of gravity)}{section.2}% 3 \BOOKMARK [2][-]{subsection.2.2}{最小惯性轴(Axis of least inertia)}{section.2}% 4 \BOOKMARK [2][-]{subsection.2.3}{平均弯曲能量(Average bending energy)}{section.2}% 5 \BOOKMARK [2][-]{subsection.2.4}{离心率(Eccentricity)}{section.2}% 6 \BOOKMARK [3][-]{subsubsection.2.4.1}{主轴法(Principal axes method)}{subsection.2.4}% 7 \BOOKMARK [3][-]{subsubsection.2.4.2}{最小边界矩形法(Minimum bounding rectangle)}{subsection.2.4}% 8 \BOOKMARK [2][-]{subsection.2.5}{圆率(Circularity ratio)}{section.2}% 9 \BOOKMARK [2][-]{subsection.2.6}{椭圆方差(Ellipse variance)}{section.2}% 10 \BOOKMARK [2][-]{subsection.2.7}{矩形度(Rectangularity)}{section.2}% 11 \BOOKMARK [2][-]{subsection.2.8}{凸性(Convexity)}{section.2}% 12 \BOOKMARK [2][-]{subsection.2.9}{固性(Solidity)}{section.2}% 13 \BOOKMARK [2][-]{subsection.2.10}{欧拉数(Euler number)}{section.2}% 14 \BOOKMARK [2][-]{subsection.2.11}{外形(Profiles)}{section.2}% 15 \BOOKMARK [2][-]{subsection.2.12}{洞面比(Hole area ratio)}{section.2}% 16 \BOOKMARK [1][-]{section.3}{一维函数表示法(One-dimensional function for shape representation)}{}% 17 \BOOKMARK [2][-]{subsection.3.1}{复数坐标(Complex coordinates)}{section.3}% 18 \BOOKMARK [2][-]{subsection.3.2}{质心距离函数(Centroid distance function)}{section.3}% 19 \BOOKMARK [2][-]{subsection.3.3}{正切角(Tangent angle)}{section.3}% 20 \BOOKMARK [2][-]{subsection.3.4}{轮廓曲率( Contour curvature)}{section.3}% 21 \BOOKMARK [2][-]{subsection.3.5}{面积函数(Area function)}{section.3}% 22 \BOOKMARK [2][-]{subsection.3.6}{三角面积表示(Triangle-area representation)}{section.3}% 23 \BOOKMARK [2][-]{subsection.3.7}{弦长函数(Chord length function)}{section.3}% 24 \BOOKMARK [1][-]{section.4}{多边形近似(Polygonal approximation)}{}% 25 \BOOKMARK [2][-]{subsection.4.1}{合并(Merging methods)}{section.4}% 26 \BOOKMARK [3][-]{subsubsection.4.1.1}{距离阈值法(Distance threshold method)}{subsection.4.1}% 27 \BOOKMARK [3][-]{subsubsection.4.1.2}{隧道法(Tunneling method)}{subsection.4.1}% 28 \BOOKMARK [3][-]{subsubsection.4.1.3}{多边形变换(Polygon evolution)}{subsection.4.1}% 29 \BOOKMARK [2][-]{subsection.4.2}{分裂}{section.4}% 30 \BOOKMARK [1][-]{section.5}{空间关系特征(Spatial interrelation feature)}{}% 31 \BOOKMARK [2][-]{subsection.5.1}{自适应网格分辨率(Adaptive grid resolution)}{section.5}% 32 \BOOKMARK [2][-]{subsection.5.2}{边界框(Bounding box)}{section.5}% 33 \BOOKMARK [2][-]{subsection.5.3}{凸包法(Convex hull)}{section.5}% 34 \BOOKMARK [2][-]{subsection.5.4}{链码(Chain code)}{section.5}% 35 \BOOKMARK [3][-]{subsubsection.5.4.1}{基本链码(Basic chain code)}{subsection.5.4}% 36 \BOOKMARK [3][-]{subsubsection.5.4.2}{顶点链码(Vertex chain code)}{subsection.5.4}% 37 \BOOKMARK [3][-]{subsubsection.5.4.3}{链码直方图}{subsection.5.4}% 38 \BOOKMARK [2][-]{subsection.5.5}{平滑曲线分解(Smooth curve decomposition)}{section.5}% 39 \BOOKMARK [2][-]{subsection.5.6}{基于最小惯性轴的符号表示(Symbolic representation based on the axis of least inertia)}{section.5}% 40 \BOOKMARK [2][-]{subsection.5.7}{光束角度统计(Beam angle statistics)}{section.5}% 41 \BOOKMARK [2][-]{subsection.5.8}{图像矩阵(Shape matrix)}{section.5}% 42 \BOOKMARK [3][-]{subsubsection.5.8.1}{方形模型图像矩阵\(Square model shape matrix\)}{subsection.5.8}% 43 \BOOKMARK [3][-]{subsubsection.5.8.2}{极角模型图像矩阵(Polar model shape matrix)}{subsection.5.8}% 44 \BOOKMARK [3][-]{subsubsection.5.8.3}{图像文本(Shape context)}{subsection.5.8}% 45 \BOOKMARK [3][-]{subsubsection.5.8.4}{弦分布(Chord distribution)}{subsection.5.8}% 46 \BOOKMARK [3][-]{subsubsection.5.8.5}{震动图(Shock graphs)}{subsection.5.8}% 47 \BOOKMARK [1][-]{section.6}{矩}{}% 48 \BOOKMARK [2][-]{subsection.6.1}{边界矩(Boundary moments)}{section.6}% 49 \BOOKMARK [2][-]{subsection.6.2}{区域矩(Region moments)}{section.6}% 50 \BOOKMARK [3][-]{subsubsection.6.2.1}{不变矩(Invariant moments)}{subsection.6.2}% 51 \BOOKMARK [3][-]{subsubsection.6.2.2}{代数不变矩(Algebraic moment invariants)}{subsection.6.2}% 52 \BOOKMARK [3][-]{subsubsection.6.2.3}{Zernike矩(Zernike moments)}{subsection.6.2}% 53 \BOOKMARK [3][-]{subsubsection.6.2.4}{径向切比雪夫矩(Radial Chebyshev moments)}{subsection.6.2}% 54 \BOOKMARK [1][-]{section.7}{尺度空间方法(Scale space approaches)}{}% 55 \BOOKMARK [2][-]{subsection.7.1}{曲率尺度空间(Curvature scale-space)}{section.7}% 56 \BOOKMARK [2][-]{subsection.7.2}{交叉点地图(Intersection points map)}{section.7}% 57 \BOOKMARK [1][-]{section.8}{图像变换域(Shape transform domains)}{}% 58 \BOOKMARK [2][-]{subsection.8.1}{傅里叶描述子(Fourier Descriptor)}{section.8}% 59 \BOOKMARK [3][-]{subsubsection.8.1.1}{一维傅里叶描述子(One-dimensional Fourier descriptors)}{subsection.8.1}% 60 \BOOKMARK [3][-]{subsubsection.8.1.2}{基于区域的傅里叶描述子(Region-based Fourier descriptor)}{subsection.8.1}% 61 \BOOKMARK [2][-]{subsection.8.2}{小波变换(Wavelet transform)}{section.8}% 62 \BOOKMARK [2][-]{subsection.8.3}{角径向变换(Angular radial transformation)}{section.8}% 63 \BOOKMARK [2][-]{subsection.8.4}{图像特征谐波嵌入(Shape signature harmonic embedding)}{section.8}% 64 \BOOKMARK [2][-]{subsection.8.5}{R-变换(R-Transform)}{section.8}% 65 \BOOKMARK [1][-]{section.9}{总结}{}% 66