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Learn the fundamentals of perspective, including the importance of studying perspective in pictures, its impact on picture and spatial perception, and the ART theory. Explore experiments and theories related to observer position, eye-height, and object orientation.
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Perspective!!! Igor Juricevic & John M. Kennedy
Outline • Basics of perspective • What is perspective? • Why study perspective? • Why study perspective pictures? • Experiments 1-4 • The ART theory • Is the ART theory general across observer position? • Is the ART theory general across eye-height? • Is the ART theory general across object orientation?
What is perspective? • Leonardo • Perspective is nothing else than seeing a place or objects behind a plane of glass, quite transparent, on the surface of which the objects behind the glass are to be drawn.
What is perspective? from Taylor (1719)
Why study perspective? • Perspective is the basic geometry of the visual system • Determines the information available to the visual system
Why study perspective pictures? • Reason 1: explain picture perception • Since the Renaissance… paradoxes concerning picture perception have plagued the consciousness of mankind • Explanations by: • Leonardo da Vinci • Albert Einstein • other guys… • have all FAILED!!!
Why study perspective pictures? • Reason 1: explain picture perception • Reason 2: explain spatial perception
Reason 2: explain spatial perception • The assumption • There is nothing special about picture perception • Picture Perception = Everyday Perception • So, a theory that can account for picture perception will account for everyday perception as well • But… • Why not just study Everyday Perception?
Reason 2: explain spatial perception • Why not just study everyday perception? • Newtonian Physics vs. Einstein’s Physics
Reason 2: explain spatial perception • Why not just study everyday perception? • Everyday perception will give you a “Newtonian Physics” theory of vision • Picture perception may give you an “Einstein’s Physics” theory of vision • Why? Because you can put people in novel situations • i.e., you can have the observer at the wrong vantage point
Observer is: JUST RIGHT Experiment 1 Observer is: TOO FAR Observer is: TOO CLOSE
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110) Observer is: TOO FAR
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110) Observer is: TOO FAR
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110) Observer is: TOO FAR
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110) Observer is: JUST RIGHT
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110) Observer is: TOO CLOSE
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110) Observer is: TOO CLOSE
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110) Observer is: TOO CLOSE
The ART theory • The “Angles and Ratios Together” theory • Angles • “Angle from the Normal” • Ratios • Visual Angle ratios • Together • Together
D C A B O The ART theory
The ART theory: Angle from the Normal D C A B O
The ART theory The “ART Theory Ranges”
The ART theory • Able to account for Experiment 1… • Can it generalize to other situations? • Like…
The ART theory • Changes in observer position?
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110)
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110)
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110)
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110)
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110)
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110)
Compressed (Average Response <90) Perspective Constancy (Average Response 90-110) Elongated (Average Response >110)
The ART theory • Changes in observer position? YES
The ART theory • Changes in eye-height?