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Mathematical Engineering Lab
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The lab explores human perception using mathematical models.

AboutAbout the lab
Describing how perception works in mathematical terms.
Kenichi Sawai's Mathematical Engineering Lab studies how people perceive time and space, using mathematical models.
It investigates how time is perceived from visual and auditory information, and how depth is perceived through motion parallax.
The lab also develops psychophysical experiment methods for measuring perception, and analyzes “hibikiai” (mutual resonance), which arises during co-creation.
Key terms
- Bayesian model
- An approach that uses probability to make inferences from uncertain information; it is used to express human perception mathematically
- Method of constant stimuli
- A psychophysical experiment method that has been widely used to investigate, for example, how large a stimulus appears
- Hibikiai (mutual resonance)
- A state in which, during co-creation, individuals build a shared mental image and stimulate and resonate with each other's joy and excitement of creating
ResearchResearch themes
The lab uses mathematical models and psychophysical experiments to investigate the mechanisms by which people perceive time and space through seeing and hearing. It also analyzes interactions among people in co-creation settings.
*Illustrative imageVisual and Auditory Perception of Time
The lab investigates how temporal information obtained from multiple senses, such as seeing and hearing, is integrated into a single perception. It uses Bayesian models and causal inference approaches.
*Illustrative imageDeveloping Psychophysical Experiment Methods
The lab develops psychophysical experiment methods for measuring human perception. Its work covers experimental methods based on the method of constant stimuli and maximum likelihood estimation.
Analysis of “Hibikiai” (Mutual Resonance) in Co-creation
In co-creation, the state in which participants stimulate and resonate with each other's sense of being deeply moved is called “hibikiai” (mutual resonance). Together with Prof. Matsumae and others, the lab analyzes the relationship between spoken exchanges and the process by which ideas emerge.
*Illustrative imageDepth Perception from Motion Parallax
Regarding depth perception from motion parallax across the visual field, including peripheral vision, the lab builds models for a computational understanding and investigates visual-field characteristics to understand the mechanisms of information processing.
MembersFaculty
- Assistant ProfessorKenichi Sawai
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Eye iris” che (Please credit as "Petr Novák, Wikipedia" in case you use this outside Wikimedia projects.) / CC BY-SA 2.5 (cropped)
- Visual and Auditory Perception of Time: “Optical illusion on the floor of the Duomo Firenze (61458)” Rhododendrites / CC BY-SA 4.0 (cropped)
- Developing Psychophysical Experiment Methods: “TTbudsImage 3” Smckellygarthwait / Public domain (cropped)
- Depth Perception from Motion Parallax: “The sun, street light and Parallax edit” Brocken Inaglory / CC BY-SA 4.0 (cropped)
- Related lab (Mathematical Engineering Lab): “Wooden hourglass 3” User:S Sepp / CC BY-SA 3.0 (cropped)
- Related lab (Visual Physiology and Perception Lab): “Eight Ishihara charts for testing colour blindness, Europe Wellcome L0059155” Shinobu Ishihara / Public domain (cropped)
- Related lab (Visual Physiology and Perception Lab): “CIELChab hue wheel at maximum chroma” 8-leaf clover / CC0 (cropped)
- Related lab (Mathematical Biology Lab): “Maritime beacon and a flock of birds on the silt at sunrise, Parque Tejo, Lisbon, Portugal julesvernex2” Jules Verne Times Two / CC BY-SA 4.0 (cropped)
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