Scaling apparent distance in a large open field: some new data.

Area of Science:

• Psychology
• Perception Science
• Spatial Cognition

Background:

• Understanding spatial perception is crucial for various fields, including environmental psychology and human-computer interaction.
• Previous research suggests non-linear relationships between perceived and actual distances.

Purpose of the Study:

• To investigate the mathematical relationship between judged distance and physical distance in a large open field.
• To determine if the availability of a standard reference affects this relationship.

Main Methods:

• Magnitude estimation was used to scale perceived distances.
• Participants judged distances in a large open field across two different distance ranges.
• Individual power functions were fitted to the data for each participant.

Main Results:

• Judged distance was related to physical distance by a power function with a mean exponent of 0.86 (SD = 0.11).
• The exponent was consistently smaller than unity, indicating perceived distance is compressed relative to physical distance.
• The availability of a standard reference did not significantly alter the obtained exponents.

Conclusions:

• Spatial distance perception in open fields is characterized by a power-law compression.
• The internal scaling mechanism for distance judgment appears robust and is not dependent on external standards.
• These findings contribute to a quantitative understanding of human spatial perception.