Authors
Peng Peng; Kai-Fu Yang; Yong-Jie Li

A computational model for gestalt proximity principle on dot patterns and beyond

publication date
May 2021
Category
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Abstract/Introduction

The human visual system has the ability to group parts of stimuli into larger, inherently structured units. In this article, a computational model inspired by tolerance space theory simulating the human perceptual grouping of dot patterns is proposed. Tolerance space theory introduces a tolerance relation to a discrete set to formulate the continuity of the discrete patterns. The model proposed herein includes one- and two-reach methods based on the assumption that dot patterns can be represented in the proposed extended tolerance space (ETS). Both methods are used to construct a ratio neighborhood graph (RANG), calculate tolerance from the diagram, compute the new RANG, and then rebuild continuous structures from the new RANG with a combinatorial procedure. Experiments are conducted to show the high consistency of the proposed model with human perception for various shapes of dot patterns, its ability to simulate Gestalt proximity and similarity principles, and its potential application in computer vision. In addition, the close relationship of the proposed model with the Pure Distance Law is comprehensively revealed, and the hierarchical representation of perceptual grouping is simulated with an adaptation of the proposed model based on the ETS.


Conclusion/Results

In this article, a computational model for the proximity principle for dot-pattern grouping inspired by tolerance space theory is proposed. This model includes a one-reach method, a two-reach method, and a combination process to reconstruct the continuous structure of the dot patterns. The edge ratio sequence in the so-called diagram is investigated to find a tolerance for the ETS, which serves as a threshold for removing unreasonable edges. Experiments and quantitative evaluations on continuous structure reconstruction, proximity, similarity principle simulation, and image segmentation reveal the effectiveness of the proposed model in perceptual grouping and computer vision. The close relationship between the proposed model and the PDL is comprehensively analyzed, and the ability to adapt the proposed model to simulate distance-modulated perceptual grouping of dot patterns is discussed. Finally, the possible physiological significance and potential applications of our model have also been discussed, offering new perspectives for these research fields.


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Also, he was better at listening. As a parent, we wanted learning to be fun for our Son, and vision therapy made this possible.


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Vision Therapy is well worth the expense, time and effort. Our son had a hard time focusing handwriting neatly. After vision therapy Seth could complete a task in half the time it previously took his abilities to focus and improved greatly and so did his handwriting.

Also, he was better at listening. As a parent you wanted learning to be fun for our son and vision therapy made this possible.


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Vision Therapy has given or son the tools he needs to be able to scan and read the written word more effectively and efficiently.

He love working with John and these working sessions give him the motivation to gladly work on his homework assignments.

It amazed us to see the difference in the tracking of his eyes and along a line of it's from the beginning to the end of the treatment.

Dr. McBryar , Kristen and John  are all marvelous and we would recommend them to anyone I only wish that we would have found them sooner!


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Prior to coming to the institute for vision development my son complained of daily headaches. Therapy has eliminated his headaches completely. I love knowing my son is able to learn pain-free for the rest of his life because of the work that has been done over just a few weeks in this office. He he absolutely loved coming that didn't even feel like going to a doctor or therapy. We are grateful for the relief he was able to find by coming here.

Thank you!


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Seems much less frustrated with life

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When we first came to the practice, my son did not have huge issues, but lots of small ones- trouble with reading, sports (hitting the baseball consistently), coordination, etc- that were not easily detectable,but when put together presented issues. The staff here were all very professional and loving towards him. While I was concerned in the reading, my son was concerned with the athletic side. Seeing improvement night off the bat gave him confidence that i have nor seen in him and made him want to not only Come to therapy, but also made him want to work hard. He has surpassed his grade level and above in reading and hit his first home run this year! Thank you!!!


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