Acknowledgments |
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xi | |
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1 How the stage was set when we began |
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1 | (51) |
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1 | (1) |
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1.2 What is this book about? |
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2 | (4) |
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1.3 Analytical and operational definitions of shape |
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6 | (9) |
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1.4 Shape constancy as a phenomenon (something you can observe) |
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15 | (8) |
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1.5 Complexity makes shape unique |
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23 | (5) |
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1.6 How would the world look if we are wrong? |
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28 | (8) |
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1.7 What had happened in the real world while we were away |
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36 | (3) |
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1.8 Perception viewed as an inverse problem |
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39 | (4) |
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1.9 How Bayesian inference can be used for modeling perception |
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43 | (3) |
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1.10 What it means to have a model of vision, and why we need to have one? |
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46 | (3) |
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1.11 End of the beginning |
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49 | (3) |
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2 How this all got started |
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52 | (31) |
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2.1 Controversy about shape constancy: 1980--1995 |
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52 | (8) |
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2.2 29th European Conference on Visual Perception (ECVP), St. Petersburg, Russia, August 20--25, 2006, where we first proposed our paradigm shift |
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60 | (2) |
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2.3 The role of constraints in recovering the 3D shapes of polyhedral objects from line-drawings |
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62 | (9) |
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2.4 31st European Conference on Visual Perception (ECVP) Utrecht, NL, August 24--28, 2008, where we had our first public confrontation |
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71 | (2) |
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2.5 Monocular 3D shape recovery of both synthetic and real objects |
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73 | (10) |
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3 Symmetry In vision, Inside and outside of the laboratory |
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83 | (37) |
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3.1 Why and how approximate computations make visual analyses fast and perfect: The perception of slanted 2D mirror-symmetrical figures |
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85 | (11) |
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3.2 How human beings perceive 2D mirror-symmetry from perspective images |
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96 | (2) |
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3.3 Why 3D mirror-symmetry is more difficult than 2D symmetry |
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98 | (1) |
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3.4 Updating the ideal observer: How human beings perceive 3D mirror-symmetry from perspective images |
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99 | (6) |
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3.5 Important role of generalized cones in 3D shape perception: How human beings perceive 3D translational-symmetry from perspective images |
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105 | (9) |
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3.6 Michael Layton's contribution to symmetry in shape perception |
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114 | (2) |
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3.7 Leeuwenberg's attempt to develop a "structural" explanation of Gestalt phenomena |
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116 | (4) |
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4 Using symmetry Is not simple |
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120 | (24) |
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4.1 What is really going on? Examining the relationship between simplicity and likelihood |
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124 | (5) |
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4.2 Clearly, simplicity is better than likelihood---excluding degenerate views does not eliminate spurious 3D symmetrical interpretations |
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129 | (1) |
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4.3 What goes with what? A new kind of correspondence problem |
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130 | (6) |
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4.4 Everything becomes easier once symmetry is viewed as self-similarity: The first working solution of the symmetry correspondence problem |
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136 | (8) |
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5 A second view makes 3D shape perception perfect |
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144 | (28) |
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5.1 What we know about binocular vision and how we came to know it |
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145 | (13) |
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5.2 How we worked out the binocular perception of symmetrical 3D shapes |
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158 | (2) |
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5.3 How our new theory of shape perception, based on stereoacuity, accounts for old results |
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160 | (2) |
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5.4 3D movies: what they are, what they want to be, and what it costs |
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162 | (1) |
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5.5 Bayesian model of binocular shape perception |
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163 | (6) |
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5.6 Why we could claim that our model is complete? |
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169 | (3) |
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6 Figure-ground organization, which breaks camouflage in everyday life, permits the veridical recovery of a 3D scene |
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172 | (32) |
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6.1 Estimating the orientation of the ground-plane |
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175 | (4) |
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6.2 How a coarse analysis of the positions and sizes of objects can be made |
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179 | (3) |
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6.3 How a useful top view representation was produced |
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182 | (8) |
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6.4 Finding objects in the 2D image |
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190 | (2) |
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6.5 Extracting relevant edges, grouping them, and establishing symmetry correspondence |
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192 | (6) |
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6.6 What can be done with a spatially-global map of a 3D scene? |
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198 | (6) |
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7 What made this possible and what comes next? |
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204 | (17) |
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7.1 Five important conceptual contributions |
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205 | (4) |
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7.2 Three of our technical contributions |
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209 | (4) |
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7.3 Making our machine perceive and predict in dynamical environments |
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213 | (3) |
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7.4 Solving the figure-ground organization problem with only a single 2D image |
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216 | (2) |
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7.5 Recognizing individual objects by using a fast search of memory |
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218 | (3) |
Note Added in Proofs: Symmetry, The Least-Action Principle, and Conservation Laws in Psychology |
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221 | (8) |
References |
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229 | (8) |
Index |
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237 | |