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Volumn , Issue , 2007, Pages 347-371

2D Shape Measures for Computer Vision

Author keywords

bounding shapes and bounding geometric primitive; Computer vision 2D shape measures; Fourier descriptors and shape representation

Indexed keywords


EID: 79952006546     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470175668.ch12     Document Type: Chapter
Times cited : (10)

References (71)
  • 1
    • 0023776774 scopus 로고
    • Surface versus edge-based determinants of visual recognition
    • Biederman I, Ju G. Surface versus edge-based determinants of visual recognition. Cogn Psychol 1988;20:38-64.
    • (1988) Cogn Psychol , vol.20 , pp. 38-64
    • Biederman, I.1    Ju, G.2
  • 3
    • 0002042091 scopus 로고    scopus 로고
    • Alternative area-perimeter ratios for measurement of 2D-shape compactness of habitats
    • Bogaert J, Rousseau R, Van Hecke P, Impens I. Alternative area-perimeter ratios for measurement of 2D-shape compactness of habitats. Appl Math Comput 2000;111:71-85.
    • (2000) Appl Math Comput , vol.111 , pp. 71-85
    • Bogaert, J.1    Rousseau, R.2    Van Hecke, P.3    Impens, I.4
  • 4
    • 0035436160 scopus 로고    scopus 로고
    • Particle shape characterization using Fourier analysis
    • Bowman ET, Soga K, Drummond T. Particle shape characterization using Fourier analysis. Geotechnique 2001;51(6):545-554.
    • (2001) Geotechnique , vol.51 , Issue.6 , pp. 545-554
    • Bowman, E.T.1    Soga, K.2    Drummond, T.3
  • 5
    • 38249006483 scopus 로고
    • Computing deviations from convexity in polygons
    • Boxer L. Computing deviations from convexity in polygons. Pattern Recog Lett 1993;14:163-167.
    • (1993) Pattern Recog Lett , vol.14 , pp. 163-167
    • Boxer, L.1
  • 7
    • 0031165671 scopus 로고    scopus 로고
    • Measuring 2D shape compactness usng the contacct perimeter
    • Bribiesca E. Measuring 2D shape compactness usng the contacct perimeter. Pattern Recog 1997;33(11):1-9.
    • (1997) Pattern Recog , vol.33 , Issue.11 , pp. 1-9
    • Bribiesca, E.1
  • 8
    • 0036002803 scopus 로고    scopus 로고
    • Approximating the diameter, width, smallest enclosing cylinder, and minimumwidth annulus
    • Chan TM. Approximating the diameter, width, smallest enclosing cylinder, and minimumwidth annulus. Int J Comput Geom Appl 2002;12(1-2):67-85.
    • (2002) Int J Comput Geom Appl , vol.12 , Issue.1-2 , pp. 67-85
    • Chan, T.M.1
  • 9
    • 0010423824 scopus 로고
    • Apolynomial solution for the potato-peeling problem
    • Chang JS, Yap CK. Apolynomial solution for the potato-peeling problem. Discrete Comput Geom 1986;1:155-182.
    • (1986) Discrete Comput Geom , vol.1 , pp. 155-182
    • Chang, J.S.1    Yap, C.K.2
  • 10
    • 0037219506 scopus 로고    scopus 로고
    • Largest empty rectangle among a point set
    • Chaudhuri J, Nandy SC, Das S. Largest empty rectangle among a point set. J Algorithms 2003;46(1):54-78.
    • (2003) J Algorithms , vol.46 , Issue.1 , pp. 54-78
    • Chaudhuri, J.1    Nandy, S.C.2    Das, S.3
  • 11
    • 0036892825 scopus 로고    scopus 로고
    • Diffusion snakes: introducing statistical shape knowledge into the Mumford-Shah functional
    • Cremers D, Tischhäuser F, Weickert J, Schnörr C. Diffusion snakes: introducing statistical shape knowledge into the Mumford-Shah functional. Int J ComputVision 2002;50(3):295-313.
    • (2002) Int J ComputVision , vol.50 , Issue.3 , pp. 295-313
    • Cremers, D.1    Tischhäuser, F.2    Weickert, J.3    Schnörr, C.4
  • 12
    • 0003772933 scopus 로고    scopus 로고
    • Computational Geometry: Algorithms and Applications
    • 2nd ed. Springer-Verlag
    • de Berg M, van Kreveld M, Overmars M, Schwarzkopf O. Computational Geometry: Algorithms and Applications. 2nd ed. Springer-Verlag; 2000.
    • (2000)
    • de Berg, M.1    van Kreveld, M.2    Overmars, M.3    Schwarzkopf, O.4
  • 14
    • 0242414804 scopus 로고    scopus 로고
    • Identification using classical and new features in combination with decision tree ensembles
    • du Buf JMH, Bayer MM. editors, World Scientific
    • Fischer S, Bunke H. Identification using classical and new features in combination with decision tree ensembles. In: du Buf JMH, Bayer MM. editors. Automatic Diatom Identification. World Scientific; 2002. p 109-140.
    • (2002) Automatic Diatom Identification , pp. 109-140
    • Fischer, S.1    Bunke, H.2
  • 16
    • 0027186879 scopus 로고
    • Pattern recognition by affine moment invariants
    • Flusser J, Suk T. Pattern recognition by affine moment invariants. Pattern Recog 1993;26:167-174.
    • (1993) Pattern Recog , vol.26 , pp. 167-174
    • Flusser, J.1    Suk, T.2
  • 17
  • 18
    • 84958060673 scopus 로고    scopus 로고
    • Fast and robust smallest enclosing balls
    • Gärtner B. Fast and robust smallest enclosing balls. Algorithms-ESA. LNCS. Volume 1643. 1999. p 325-338.
    • (1999) Algorithms-ESA. LNCS , vol.1643 , pp. 325-338
    • Gärtner, B.1
  • 19
    • 0032178808 scopus 로고    scopus 로고
    • Exact primitives for smallest enclosing ellipses
    • Gärtner B, Schönherr S. Exact primitives for smallest enclosing ellipses. Inform Process Lett 1998;68(1):33-38.
    • (1998) Inform Process Lett , vol.68 , Issue.1 , pp. 33-38
    • Gärtner, B.1    Schönherr, S.2
  • 20
    • 0032041193 scopus 로고    scopus 로고
    • Image structural information assessment
    • Ghali A, Daemi MF, Mansour M. Image structural information assessment. Pattern Recog Lett 1998;19(5-6):447-453.
    • (1998) Pattern Recog Lett , vol.19 , Issue.5-6 , pp. 447-453
    • Ghali, A.1    Daemi, M.F.2    Mansour, M.3
  • 21
    • 0015300275 scopus 로고
    • Fourier preprocessing for hand print character recognition
    • Granlund GH. Fourier preprocessing for hand print character recognition. IEEE Trans Comput 1972;21:195-201.
    • (1972) IEEE Trans Comput , vol.21 , pp. 195-201
    • Granlund, G.H.1
  • 22
    • 0032398170 scopus 로고    scopus 로고
    • Effects of outline shape in object recognition
    • Hayward WG. Effects of outline shape in object recognition. J Exp Psychol: Hum Percept Perform 1998;24:427-440.
    • (1998) J Exp Psychol: Hum Percept Perform , vol.24 , pp. 427-440
    • Hayward, W.G.1
  • 23
    • 0037306608 scopus 로고    scopus 로고
    • Selection of descriptors for particle shape characterization
    • Hentschel ML, Page NW. Selection of descriptors for particle shape characterization. Part Part Syst Charact 2003;20:25-38.
    • (2003) Part Part Syst Charact , vol.20 , pp. 25-38
    • Hentschel, M.L.1    Page, N.W.2
  • 24
    • 0029753122 scopus 로고    scopus 로고
    • Robust and efficient detection of salient convex groups
    • Jacobs DW. Robust and efficient detection of salient convex groups. IEEE Trans Pattern Anal Mach Intell 1996;18(1):23-37.
    • (1996) IEEE Trans Pattern Anal Mach Intell , vol.18 , Issue.1 , pp. 23-37
    • Jacobs, D.W.1
  • 25
    • 11744278236 scopus 로고    scopus 로고
    • Testing for convexity with Fourier descriptors
    • Kakarala R. Testing for convexity with Fourier descriptors. Electron Lett 1998;34(14):1392-1393.
    • (1998) Electron Lett , vol.34 , Issue.14 , pp. 1392-1393
    • Kakarala, R.1
  • 26
    • 0037403352 scopus 로고    scopus 로고
    • On using functions to describe the shape
    • Kindratenko VV. On using functions to describe the shape. J Math Imaging Vis 2003;18(3):225-245.
    • (2003) J Math Imaging Vis , vol.18 , Issue.3 , pp. 225-245
    • Kindratenko, V.V.1
  • 28
    • 0001411904 scopus 로고    scopus 로고
    • Object shape, object function, and object name
    • Landau B, Smith LB, Jones S. Object shape, object function, and object name. J Memory Language 1998;38:1-27.
    • (1998) J Memory Language , vol.38 , pp. 1-27
    • Landau, B.1    Smith, L.B.2    Jones, S.3
  • 29
    • 0033700279 scopus 로고    scopus 로고
    • Shape descriptors for non-rigid shapes with a single closed contour
    • Proceedings of the Conference on Computer Vision Pattern Recognition
    • Latecki LJ, Lakämper R, Eckhardt U. Shape descriptors for non-rigid shapes with a single closed contour. Proceedings of the Conference on Computer Vision Pattern Recognition; 2000. p 1424-1429.
    • (2000) , pp. 1424-1429
    • Latecki, L.J.1    Lakämper, R.2    Eckhardt, U.3
  • 30
    • 0034511128 scopus 로고    scopus 로고
    • Use of the two-dimensional radon transform to generate a taxonomy of shape for the characterization of abrasive powder particles
    • Leavers VF. Use of the two-dimensional radon transform to generate a taxonomy of shape for the characterization of abrasive powder particles. IEEE Trans Pattern Anal Mach Intell 2000;22(12):1411-1423.
    • (2000) IEEE Trans Pattern Anal Mach Intell , vol.22 , Issue.12 , pp. 1411-1423
    • Leavers, V.F.1
  • 31
    • 0442296216 scopus 로고    scopus 로고
    • Deformable model-guided region split and merge of image regions
    • Liu L, Sclaroff S. Deformable model-guided region split and merge of image regions. Image Vision Comput 2004;22(4):343-354.
    • (2004) Image Vision Comput , vol.22 , Issue.4 , pp. 343-354
    • Liu, L.1    Sclaroff, S.2
  • 32
    • 0032139571 scopus 로고    scopus 로고
    • A survey of shape analysis techniques
    • Loncaric S. A survey of shape analysis techniques. Pattern Recog 1998;31(8):983-1001.
    • (1998) Pattern Recog , vol.31 , Issue.8 , pp. 983-1001
    • Loncaric, S.1
  • 33
    • 0018456981 scopus 로고
    • Moment invariants
    • Maitra S. Moment invariants. Proc IEEE 1979;67:697-699.
    • (1979) Proc IEEE , vol.67 , pp. 697-699
    • Maitra, S.1
  • 34
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: the wavelet representation
    • Mallat SG. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Mach Intell 1989;11(7):674-693.
    • (1989) IEEE Trans Pattern Anal Mach Intell , vol.11 , Issue.7 , pp. 674-693
    • Mallat, S.G.1
  • 35
    • 4544369702 scopus 로고    scopus 로고
    • Turning shape decision problems into measures
    • Martin RR, Rosin PL. Turning shape decision problems into measures. Int J Shape Model 2004;10(1):83-113.
    • (2004) Int J Shape Model , vol.10 , Issue.1 , pp. 83-113
    • Martin, R.R.1    Rosin, P.L.2
  • 36
    • 0018739525 scopus 로고
    • A linear algorithm for finding the convex hull of a simple polygon
    • McCallum D, Avis D. A linear algorithm for finding the convex hull of a simple polygon. Inform Process Lett 1979;9:201-206.
    • (1979) Inform Process Lett , vol.9 , pp. 201-206
    • McCallum, D.1    Avis, D.2
  • 37
    • 84889418147 scopus 로고    scopus 로고
    • An implementation of a linear time algorithm for computing the minimum perimeter triangle enclosing a convex polygon
    • Medvedeva A, Mukhopadhyay A. An implementation of a linear time algorithm for computing the minimum perimeter triangle enclosing a convex polygon. Canadian Conference on Computational Geometry; 2003. p 25-28.
    • (2003) Canadian Conference on Computational Geometry , pp. 25-28
    • Medvedeva, A.1    Mukhopadhyay, A.2
  • 38
    • 0004201629 scopus 로고    scopus 로고
    • Moment Functions in Image Analysis-Theory and Applications
    • World Scientific
    • Mukundan R, Ramakrishnan KR. Moment Functions in Image Analysis-Theory and Applications. World Scientific; 1998.
    • (1998)
    • Mukundan, R.1    Ramakrishnan, K.R.2
  • 39
    • 38249041171 scopus 로고
    • An optimal algorithm for finding minimal enclosing triangles
    • O'Rourke J, Aggarwal A, Maddila S, Baldwin M. An optimal algorithm for finding minimal enclosing triangles. J Algorithms 1986;7:258-269.
    • (1986) J Algorithms , vol.7 , pp. 258-269
    • O'Rourke, J.1    Aggarwal, A.2    Maddila, S.3    Baldwin, M.4
  • 41
    • 33748451444 scopus 로고    scopus 로고
    • A continuous shape descriptor by orientation diffusion
    • Proceedings of theWorkshop on Energy Minimization Methods in Computer Vision and Pattern Recognition. LNCS
    • Pao HK, Geiger D. A continuous shape descriptor by orientation diffusion. Proceedings of theWorkshop on Energy Minimization Methods in Computer Vision and Pattern Recognition. LNCS. Volume 2134. 2001. p 544-559.
    • (2001) , vol.2134 , pp. 544-559
    • Pao, H.K.1    Geiger, D.2
  • 42
    • 10044257964 scopus 로고    scopus 로고
    • Convexity recognition using multi-scale autoconvolution
    • Conference on Pattern Recognition
    • Rahtu E, Salo M, Heikkila J. Convexity recognition using multi-scale autoconvolution. International Conference on Pattern Recognition; 2004. p 692-695.
    • (2004) , pp. 692-695
    • Rahtu, E.1    Salo, M.2    Heikkila, J.3
  • 44
    • 33846112993 scopus 로고    scopus 로고
    • Shape complexity based on mutual information
    • International Conference on Shape Modeling and Applications
    • Rigau J, Feixas M, Sbert M. Shape complexity based on mutual information. International Conference on Shape Modeling and Applications; 2005. p 357-362.
    • (2005) , pp. 357-362
    • Rigau, J.1    Feixas, M.2    Sbert, M.3
  • 45
    • 0343895690 scopus 로고
    • Compact figures in digital pictures
    • Rosenfeld A. Compact figures in digital pictures. IEEE Trans Syst Man Cybernet 1974;4:221-223.
    • (1974) IEEE Trans Syst Man Cybernet , vol.4 , pp. 221-223
    • Rosenfeld, A.1
  • 46
    • 0039439351 scopus 로고
    • Measuring the sizes of concavities
    • Rosenfeld A. Measuring the sizes of concavities. Pattern Recog Lett 1985;3:71-75.
    • (1985) Pattern Recog Lett , vol.3 , pp. 71-75
    • Rosenfeld, A.1
  • 47
    • 0032074996 scopus 로고    scopus 로고
    • Ellipse fitting using orthogonal hyperbolae and Stirling's oval
    • Rosin PL. Ellipse fitting using orthogonal hyperbolae and Stirling's oval. CVGIP: Graph Models Image Process 1998;60(3):209-213.
    • (1998) CVGIP: Graph Models Image Process , vol.60 , Issue.3 , pp. 209-213
    • Rosin, P.L.1
  • 48
    • 0032661027 scopus 로고    scopus 로고
    • Further five-point fit ellipse fitting
    • Rosin PL. Further five-point fit ellipse fitting. CVGIP: Graph Models Image Process 1999;61(5):245-259.
    • (1999) CVGIP: Graph Models Image Process , vol.61 , Issue.5 , pp. 245-259
    • Rosin, P.L.1
  • 49
    • 0033351229 scopus 로고    scopus 로고
    • Measuring rectangularity
    • Rosin PL. Measuring rectangularity. Mach Vis Appl 1999;11:191-196.
    • (1999) Mach Vis Appl , vol.11 , pp. 191-196
    • Rosin, P.L.1
  • 50
    • 0033905563 scopus 로고    scopus 로고
    • Shape partitioning by convexity
    • Rosin PL. Shape partitioning by convexity. IEEE Trans Syst Man Cybernet A, 2000;30(2):202-210.
    • (2000) IEEE Trans Syst Man Cybernet A , vol.30 , Issue.2 , pp. 202-210
    • Rosin, P.L.1
  • 51
    • 2642541226 scopus 로고    scopus 로고
    • Measuring shape: ellipticity, rectangularity, and triangularity
    • Rosin PL. Measuring shape: ellipticity, rectangularity, and triangularity. Mach Vis Appl 2003;14(3):172-184.
    • (2003) Mach Vis Appl , vol.14 , Issue.3 , pp. 172-184
    • Rosin, P.L.1
  • 52
    • 2642582336 scopus 로고    scopus 로고
    • Measuring sigmoidality
    • Rosin PL. Measuring sigmoidality. Pattern Recog 2004;37(8):1735-1744.
    • (2004) Pattern Recog , vol.37 , Issue.8 , pp. 1735-1744
    • Rosin, P.L.1
  • 53
    • 33748915052 scopus 로고    scopus 로고
    • Computing global shape measures
    • Chen CH, Wang PS-P, editors, 3rd ed. World Scientific
    • Rosin PL. Computing global shape measures. In: Chen CH, Wang PS-P, editors. Handbook of Pattern Recognition and Computer Vision. 3rd ed. World Scientific; 2005. p 177-196.
    • (2005) Handbook of Pattern Recognition and Computer Vision , pp. 177-196
    • Rosin, P.L.1
  • 54
    • 17144372642 scopus 로고    scopus 로고
    • Remote sensing image thresholding for determining landslide activity
    • Rosin PL, Hervás J. Remote sensing image thresholding for determining landslide activity. Int J Remote Sensing 2005;26(6):1075-1092.
    • (2005) Int J Remote Sensing , vol.26 , Issue.6 , pp. 1075-1092
    • Rosin, P.L.1    Hervás, J.2
  • 56
    • 14844299398 scopus 로고    scopus 로고
    • They call it like they see it: spontaneous naming and attention to shape
    • Samuelson LK, Smith LB. They call it like they see it: spontaneous naming and attention to shape. Dev Sci 2005;8(2):182-198.
    • (2005) Dev Sci , vol.8 , Issue.2 , pp. 182-198
    • Samuelson, L.K.1    Smith, L.B.2
  • 57
    • 0027624646 scopus 로고
    • A general approach to moment calculation for polygons and line segments
    • Singer MH. A general approach to moment calculation for polygons and line segments. Pattern Recog 1993;26(7):1019-1028.
    • (1993) Pattern Recog , vol.26 , Issue.7 , pp. 1019-1028
    • Singer, M.H.1
  • 58
    • 0024869958 scopus 로고
    • Polygonal entropy: a convexity measure
    • Stern HI. Polygonal entropy: a convexity measure. Pattern Recog Lett 1989;10:229-235.
    • (1989) Pattern Recog Lett , vol.10 , pp. 229-235
    • Stern, H.I.1
  • 59
    • 0020879121 scopus 로고
    • Solving geometric problems with the rotating calipers
    • Proceedings of IEEE MELECON'83
    • Toussaint GT. Solving geometric problems with the rotating calipers. Proceedings of IEEE MELECON'83; 1983. p A10.02/1-A10.02/4.
    • (1983)
    • Toussaint, G.T.1
  • 60
    • 0026079506 scopus 로고
    • Detection of generalized principal axes in rotationally symetric shapes
    • Tsai WH, Chou SL. Detection of generalized principal axes in rotationally symetric shapes. Pattern Recog 1991;24(1):95-104.
    • (1991) Pattern Recog , vol.24 , Issue.1 , pp. 95-104
    • Tsai, W.H.1    Chou, S.L.2
  • 61
    • 38349189738 scopus 로고    scopus 로고
    • Properties and performances of shape similarity measures
    • Conference on Data Science and Classification
    • Veltkamp RC, Latecki LJ. Properties and performances of shape similarity measures. Conference on Data Science and Classification; 2006.
    • (2006)
    • Veltkamp, R.C.1    Latecki, L.J.2
  • 63
    • 0030836193 scopus 로고    scopus 로고
    • Invariant fitting of planar objects by primitives
    • Voss K, Süße H. Invariant fitting of planar objects by primitives. IEEE Trans Pattern Anal Mach Intell 1997;19(1):80-84.
    • (1997) IEEE Trans Pattern Anal Mach Intell , vol.19 , Issue.1 , pp. 80-84
    • Voss, K.1    Süße, H.2
  • 64
    • 84878024340 scopus 로고    scopus 로고
    • SAXually explicit images: finding unusual shapes
    • International Conference on Data Mining
    • Wei L, Keogh E, Xi X. SAXually explicit images: finding unusual shapes. International Conference on Data Mining; 2006.
    • (2006)
    • Wei, L.1    Keogh, E.2    Xi, X.3
  • 65
    • 0016090811 scopus 로고
    • An analysis technique for biological shape. I
    • Young IT, Walker JE, Bowie JE. An analysis technique for biological shape. I. Inform Control 1974;25(4):357-370.
    • (1974) Inform Control , vol.25 , Issue.4 , pp. 357-370
    • Young, I.T.1    Walker, J.E.2    Bowie, J.E.3
  • 66
    • 0015315797 scopus 로고
    • Fourier descriptors for plane closed curves
    • Zahn CT, Roskies RZ, Fourier descriptors for plane closed curves. IEEE Trans Comput 1972;C-21:269-281.
    • (1972) IEEE Trans Comput , vol.C-21 , pp. 269-281
    • Zahn, C.T.1    Roskies, R.Z.2
  • 67
    • 0242456421 scopus 로고    scopus 로고
    • Review of shape representation and description techniques
    • Zhang D, Lu G. Review of shape representation and description techniques. Pattern Recog 2004;37(1):1-19.
    • (2004) Pattern Recog , vol.37 , Issue.1 , pp. 1-19
    • Zhang, D.1    Lu, G.2
  • 68
    • 33244460825 scopus 로고    scopus 로고
    • Notes on shape orientation where the standard method does not work
    • Žunić J, Kopanja L, Fieldsend JE. Notes on shape orientation where the standard method does not work. Pattern Recog 2006;39(2):856-865.
    • (2006) Pattern Recog , vol.39 , Issue.2 , pp. 856-865
    • Žunić, J.1    Kopanja, L.2    Fieldsend, J.E.3


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