We demonstrate a perceptual effect whereby contours not physically present in a visual scene can yield striking illusory motion. The not physically present contours are paths of invariant contrast polarity (CP). For example, when a square checkerboard composed of dark and light square checks with small black and white discs covering the vertices is put in lateral motion, there is the striking perception of vertical expansion/contraction. Such a checkerboard has (not physically present) diagonal paths of CP presentation with vertical components. However, when a square checkerboard made up of square black and very light checks with gray discs of luminance intermediate to the checks is put in lateral motion, no expansion/contraction is seen. For this checkerboard the vertical components of paths of CP preservation cancel each other out, predicting the lack of perception of vertical expansion/contraction. We also discuss how not physically present contours can explain previously described effects and suggest new effects to be explored.
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Sci Rep
January 2025
Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, 71491, Tabuk, Saudi Arabia.
In this study, the -model expansion method is showed to be useful for finding solitary wave solutions to the Klein-Gordon (KG) equation. We develop a variety of solutions, including Jacobi elliptic functions, hyperbolic forms, and trigonometric forms, so greatly enhancing the range of exact solutions attainable. The 2D, 3D, and contour plots clearly show different types of solitary waves, like bright, dark, singular, and periodic solitons.
View Article and Find Full Text PDFVisual narratives, like comics, at times show depictions of characters' imagination, dreams, or flashbacks, which seem incongruent with the ongoing primary narrative. Such "domain constructions" thus integrate an auxiliary domain (e.g.
View Article and Find Full Text PDFSci Rep
January 2025
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia.
In applied research, fractional calculus plays an important role for comprehending a wide range of intricate physical phenomena. One of the Klein-Gordon model's peculiar case yields the Phi-four equation. Additionally, throughout the past few decades it has been utilized to explain the kink and anti-kink solitary waveform contacts that occur in biological systems and in the field of nuclear mechanics.
View Article and Find Full Text PDFJ Clin Med
January 2025
Department of Plastic Surgery, University Hospital Muenster, Waldeyerstrasse 1, 48149 Muenster, Germany.
: Despite its estimated high prevalence among women and increasing awareness, lipedema remains under-investigated. Ignoring its debilitating nature, surgical treatment for this condition is frequently covered by health insurance only in advanced stages and after the exhaustion of conservative therapies. : A total of 1015 patients with lipedema were recruited via social media platforms.
View Article and Find Full Text PDFPLoS One
January 2025
Department of Medicine, Faculty of Medicine, Universiti Malaya, Kuala Lumpur, Malaysia.
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