Michael Leyton’s research while affiliated with Rutgers, The State University of New Jersey and other places

... In our case we relate these two sets with the extremities of the traditional medial axis of H. Blum: end points of interior branches correspond to center of positive extrema of curvature and end points of exterior branches are mapped to negative extrema of curvature of the boundary. The repositioning of these extrema near the boundary is alike the end points of the PISA (Process Inferring Symmetry Axis) representation of M. Leyton [13]. Together, the three sets: concave, convex and interior dominant, form a rich enough pointbased description of medialness to allow us to efficiently address applications with articulated movement for real image data. ...

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Point-based Medialness for Animal and Plant Identification

... The results revealed that observers can make these judgments with a surprising degree of reliability. This suggests that there are particular features of an object's shape that provide information about how it may have been altered in the past (see also Leyton, 1992Leyton, , 2012Schmidt, Phillips, & Fleming, 2019). ...

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The many facets of shape

... Mathematically, symmetry and curvature are two very different descriptors of shape. However, a theorem that I proposed and proved in [4] shows that there is an intimate relationship between these two descriptors. This relationship will be the basis of the entire paper. ...

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Shape as Memory Storage

... Consequently, the (smaller) details of the contour should be perceived as results of the most recent transformations ("deblurring"). However, despite its intuitive appeal, empirical evidence has been scarce for the basic model (Leyton, 1986a(Leyton, , 1986b as well as for the meanings that Leyton (1989) assigned to the different transformations following from his theoretical work (e.g., "protrusion" or "squashing"). Moreover, the mathematical foundations of his theory have been the subject of strong criticism (Hendrickx & Wagemans, 1999). ...

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Visual perception of shape-transforming processes: 'Shape Scission'

... when a towel is dropped in a pile, or when a child traces patterns in sand. These shape changes are a complex challenge to our visual and cognitive systems, which have to solve two complementary and linked inferences: recognizing objects across transformations (Biederman, 1987;DiCarlo et al., 2012;Logothetis & Sheinberg, 1996;Pasupathy et al., 2018;Riesenhuber & Poggio, 2000), and recognizing transformations across objects (Arnheim, 1974;Chen et al., 2021;Leyton, 1989;Ons & Wagemans, 2012;Pinna, 2010;Pinna & Deiana, 2015;Schmidt & Fleming, 2018;. ...

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Inferring shape transformations in a drawing task

... The primary difficulty in software development arises out of the complexity of the application, the ability of the software interoperable tools and the characteristics of the computer system on which the software is to be developed (Leyton, 2006). It is important to assess objectivity closely to make decision about the tools and methods because of rapid change of hardware technology that affects the performance of the developed platform. ...

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FUNCTIONAL SIMULATION PLATFORM FOR STUDYING UNDERWATER RADIATION PATTERN

... their visually asserted symmetry and the degree of symmetry of that form determines the inclination in the distortion, whether towards symmetry or asymmetry. It is worth noting that gestalt theory did not conclusively address the question to what extent the two phenomena of recognizing an object and appreciating it aesthetically are interdependent.Leyton (2013) introduces two concepts involved in aesthetic judgment, and the two principles are maximizing transfer of structure and maximizing recoverability of the generative operations. According to him, the two principles are also fundamental to memory because recoverability means the reconstruction of the past from what is available in the pres ...

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UNDERSTANDING SHAPE PREFERENCES IN ARCHITECTURAL DESIGN THROUGH EVOLUTIONARY COMPUTATION

... In architecture, symmetry of each level, such as point symmetry, rotational symmetry, and translational symmetry, is considered as a mathematical symmetry group. Symmetry group or hierarchical symmetry classification of nested control is helpful to further analyze the function of symmetry or asymmetry [13]. In mechanics, group theory can also be used as a reference for classification [14]. ...

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Concept System and Application of Point Group Symmetry in Mechanical Structure Design

... The interpretation space can be ordered hierarchically by the degree of regularity and the interpretation with the highest degree of regularity or the interpretation by which most coincidental properties are appearing as nonaccidental is the one that will be preferred. Similar views on shape processing have been proposed in the generative approach of Leyton (1987Leyton ( , 1988Leyton ( , 1989, and the descriptive minimum principle of Leeuwenberg (1971) and Leeuwenberg and van der Helm (1991). ...

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Generalization of Visual Shapes by Flexible and Simple Rules

... Significance may be taken in terms of magnitude or duration in time. This proposition was justified as follows by Leyton (Leyton 1985Leyton , 1988): ...

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Thoughts on Shape