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An Extremum Principle for Shape from Contour (1983) [28 citations — 0 self]

by Michael Brady ,  Alan Yuille
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Abstract:

An extremum principle is developed that determines three-dimensional surface orientation from a two-dimensional contour. The principle maximizes the ratio of the area to the square of the perimeter, a measure of the compactness or symmetry of the three-dimensional surface. I;he principle interprets regular figures correctly and it interprets skew symmetries as oriented real symmetries. The maximum likelihood method approximates the principle on irregular figures, but we show that it consistently overestimates the slant of an ellipse.

Citations

687 Computer Vision – Ballard, Brown - 1982
97 Fitting conic sections to scattered data – Bookstein - 1979
97 Structural Pattern Recognition – Pavlidis - 1977
96 Understanding image intensities – Horn - 1977
83 Recovering Surface Shape and Orientation from Texture – Witkin - 1981
81 Recovery of the three-dimensional shape of an object from a single view – Kanade - 1981
53 The Curve of Least Energy – Horn - 1983
51 An implementation of a computational theory of visual surface interpolation – Grimson - 1983
45 Interpreting perspective images – Barnard - 1983
35 M.: \Criteria for representations of shape – Brady - 1993
17 Computational approaches to image understanding – Brady - 1982
12 Zero crossings on lines of curvature – Yuille - 1989
11 Surface perception from local analysis of texture and contour – Stevens - 1980
8 The determination of perceived tridimensional orientation by minimum criteria – Attneave, Frost - 1969
8 The perception of subjective surfaces – Brady, Grimson - 1982
7 A note on polygonal and elliptical approximation of mechanical parts – Nakagawa, Rosenfeld - 1979
6 Shape from contour – Witkin - 1980
5 Perspective and Form Ratio as Determinants of Relative Slant Judgments – Braunstein, Payne - 1969
4 The perception of the visible world – Gibson - 1950
2 Computer vision systems for industrial inspection and assembly – Agin - 1980
2 A possible optical basis for monocular slant perception – Flock - 1964
1 Fitting ellipses and general second-order curves," The Robotics – Agin - 1981
1 Representation of physical space," Coding processes – Attneave - 1972
1 Interpreting linc drawings as three dimensional surfaces – Barrosy, Tenenbaum - 1981
1 Rotationally symmetric operators for surhce interpolation – Brady, Horn - 1983
1 The interaction of stirface texture, outline gradient, and ground in the perception of slant – Clark, Smith, et al.
1 Efficient recovery of shape from texture – Stanley - 1133
1 Slant judgements of single rectangles at a slant," Psycho – Flock, David, et al. - 1965
1 Ecological optics and visual slant – Jr, Robert - 1965
1 Effect of size on visual slant – Jr, Robert - 1966
1 From images to sinfaces: a computational stud), of the human early isual system – Grimson - 1981
1 Perception of slanted surfaces – Gruher, Clark - 1956
1 Shape from regular texture," Artificial htelligence (to appear – Ikeuchi - 1983
1 Circles and derived figures in rotation," /tin – Wallach, Weisz, et al. - 1956
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