On the detection of the axes of symmetry of symmetric and almost symmetric planar images

Marola, G.

doi:10.1109/34.23119

Cited by 182 publications

(87 citation statements)

References 3 publications

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“…[3,10,17,19,20,24,30,31,35,37]). Symmetry detection has been used for numerous applications, including facial image analysis [23], vehicle detection [12,38], reconstruction [1,6,14,34], visual attention [17,24,27] indexing of image databases [28], completion of occluded shapes [36], object detection [19,37] and detecting tumours in medical imaging [18]. The problem of symmetry detection amounts to trying to find an image region of unknown size that, when flipped about an unknown axis or rotated about an unknown point, is sufficiently similar to another image region an unknown distance away.…”

Section: Introductionmentioning

confidence: 99%

“…Marola [19] proposed a method for detecting symmetry in symmetric and "almost symmetric" images, where the axis of symmetry intersects or passes near the centroid. Keller and Shkolnisky [10] took an algebraic approach and employed Fourier analysis to detect symmetry, and Sun [31] showed that the orientation of the dominant bilateral symmetry axis could be computed from the histogram of gradient orientations.…”

Section: Introductionmentioning

confidence: 99%

“…They used a symmetry measure similar to Marola [19] and applied this to assess symmetry in local circular regions parameterised by their location, size and symmetry axis orientation (x, y, s, θ). The global maximum of this measure was then determined using a probabilistic genetic algorithm which was typically able to find the global maximum of the local symmetry measure in around 1,000 iterations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Detecting Symmetry and Symmetric Constellations of Features

Loy

Eklundh

2006

Lecture Notes in Computer Science

275

427

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Abstract.A novel and efficient method is presented for grouping feature points on the basis of their underlying symmetry and characterising the symmetries present in an image. We show how symmetric pairs of features can be efficiently detected, how the symmetry bonding each pair is extracted and evaluated, and how these can be grouped into symmetric constellations that specify the dominant symmetries present in the image. Symmetries over all orientations and radii are considered simultaneously, and the method is able to detect local or global symmetries, locate symmetric figures in complex backgrounds, detect bilateral or rotational symmetry, and detect multiple incidences of symmetry.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Detecting Symmetry and Symmetric Constellations of Features

Loy

Eklundh

2006

Lecture Notes in Computer Science

275

427

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“…Marola presents a method for detecting the symmetrical structure of the object in 2-D images [7]. It can only be applied to objects that are almost symmetric and requires the estimation of its centre of mass.…”

Section: Introductionmentioning

confidence: 99%

Facial asymmetry analysis based on 3-D dynamic scans

Quan

Matuszewski

Shark

2012

2012 IEEE International Conference on Systems, Man, and Cybernetics (SMC)

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Abstract-Facial asymmetry is an important characteristic used in a number of applications. It plays a vital role in human perception of attractiveness and as such has been used in psychology including research on facial expressions evaluation as well as in plastic surgery and orthodontics. It has been also recognized as a biometric feature used for identification and has important applications in detection and quantification of medical disorders, including neurological conditions, such as stroke or Bell's palsy. The current methods for assessing facial asymmetry mainly rely on manual semi-automatic procedures which have significant limitations as they are subjective in nature. This paper presents a computer-based methodology of automatic facial asymmetry analysis which has been used for detection and quantification of facial dysfunctions. The method is based on dynamic 3-D scans of human faces. Using facial sequences from the Hi4D-ADSIP database, the preliminary evaluation results suggest that the proposed method is able to assist in quantification and diagnosis of facial dysfunctions for neurological patients.

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“…In pattern recognition and computer vision literature, the problem of symmetry detection was studied mainly in images [15], two-dimensional [31,2,1] and three-dimensional shapes [27,10,17]. A wide spectrum of methods employed for this purpose includes approaches based on dual spaces [7], genetic algorithms [9], moments [5], pair matching [13,6], and local shape descriptors [33].…”

Section: Introductionmentioning

confidence: 99%

Shape Palindromes: Analysis of Intrinsic Symmetries in 2D Articulated Shapes

Hooda

Bronstein

et al. 2012

Lecture Notes in Computer Science

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Abstract. Analysis of intrinsic symmetries of non-rigid and articulated shapes is an important problem in pattern recognition with numerous applications ranging from medicine to computational aesthetics. Considering articulated planar shapes as closed curves, we show how to represent their extrinsic and intrinsic symmetries as self-similarities of local descriptor sequences, which in turn have simple interpretation in the frequency domain. The problem of symmetry detection and analysis thus boils down to analysis of descriptor sequence patterns. For that purpose, we show two efficient computational methods: one based on Fourier analysis, and another on dynamic programming. Metaphorically, the later can be compared to finding palindromes in text sequences.

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On the detection of the axes of symmetry of symmetric and almost symmetric planar images

Cited by 182 publications

References 3 publications

Detecting Symmetry and Symmetric Constellations of Features

Detecting Symmetry and Symmetric Constellations of Features

Facial asymmetry analysis based on 3-D dynamic scans

Shape Palindromes: Analysis of Intrinsic Symmetries in 2D Articulated Shapes

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