Geometric Deformations of Discriminants and Apparent Contours (Lecture Notes in Mathematics)
Tari, Farid; Salarinoghabi, Mostafa; Hasegawa, Masaru
ISBN 10: 3031870158 ISBN 13: 9783031870156
Editore: Springer, 2025
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This book presents new and original results on the deformations of apparent contours of surfaces in Euclidean 3-space and the discriminants of plane-to-plane map-germs. Given a viewing direction, the apparent contour (also called the profile or outline) is the projection of the set of points on the surface where the viewing direction is tangent to the surface. Apparent contours are extensively used in computer vision and image analysis and pose significant mathematical challenges.
As the viewing direction varies, the apparent contour deforms, with emerging and vanishing inflections and vertices. The book provides a complete catalog of these bifurcations for generic surfaces as the viewing direction changes. Additionally, it explores geometric invariants that determine the maximum number of inflections and vertices that may appear in such deformations of an apparent contour. Aimed at researchers working in differential geometry, singularity theory, computer vision, and related areas, the text can also serve as material for an undergraduate reading course.
Informazioni sull?autore:
Farid Tari is a Full Professor at the University of São Paulo. He has published over 60 research papers, including some in leading mathematical journals, authored one book, and edited another. He has supervised several postdoctoral fellows, PhD, and MSc students. Currently, he serves as an Associate Editor of the Journal of Singularities.
Mostafa Salarinoghabi is currently a postdoctoral researcher at the Federal University of Viçosa, Brazil. He earned his PhD from the University of São Paulo, Brazil. His expertise lies in differential geometry, singularity theory, and random complex dynamics.
Masaru Hasegawa is currently an Assistant Professor at Iwate Medical University, Japan. He earned his PhD from Saitama University, Japan, where he also held a postdoctoral position. Additionally, he completed another postdoctoral position at the University of São Paulo, Brazil. His research focuses on applying singularity theory to differential geometry.
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Titolo: Geometric Deformations of Discriminants and ...
Casa editrice: Springer
Data di pubblicazione: 2025
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Geometric Deformations of Discriminants and Apparent Contours (Lecture Notes in Mathematics, Band 2370)
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Taschenbuch. Condizione: Neu. Geometric Deformations of Discriminants and Apparent Contours | Farid Tari (u. a.) | Taschenbuch | Lecture Notes in Mathematics | x | Englisch | 2025 | Springer | EAN 9783031870156 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 132557669
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Geometric Deformations of Discriminants and Apparent Contours
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents new and original results on the deformations of apparent contours of surfaces in Euclidean 3-space and the discriminants of plane-to-plane map-germs.Given a viewing direction, the apparent contour (also called the profile or outline) is the projection of the set of points on the surface where the viewing direction is tangent to the surface. Apparent contours are extensively used in computer vision and image analysis and pose significant mathematical challenges.As the viewing direction varies, the apparent contour deforms, with emerging and vanishing inflections and vertices. The book provides a complete catalog of these bifurcations for generic surfaces as the viewing direction changes. Additionally, it explores geometric invariants that determine the maximum number of inflections and vertices that may appear in such deformations of an apparent contour. Aimed at researchers working in differential geometry, singularity theory, computer vision, and related areas, the text can also serve as material for an undergraduate reading course. Codice articolo 9783031870156
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ISBN 10: 3031870158
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book presents new and original results on the deformations of apparent contours of surfaces in Euclidean 3-space and the discriminants of plane-to-plane map-germs. Given a viewing direction, the apparent contour (also called the profile or outline) is the projection of the set of points on the surface where the viewing direction is tangent to the surface. Apparent contours are extensively used in computer vision and image analysis and pose significant mathematical challenges.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 196 pp. Englisch. Codice articolo 9783031870156
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents new and original results on the deformations of apparent contours of surfaces in Euclidean 3-space and the discriminants of plane-to-plane map-germs.Given a viewing direction, the apparent contour (also called the profile or outline) is the projection of the set of points on the surface where the viewing direction is tangent to the surface. Apparent contours are extensively used in computer vision and image analysis and pose significant mathematical challenges.As the viewing direction varies, the apparent contour deforms, with emerging and vanishing inflections and vertices. The book provides a complete catalog of these bifurcations for generic surfaces as the viewing direction changes. Additionally, it explores geometric invariants that determine the maximum number of inflections and vertices that may appear in such deformations of an apparent contour. Aimed at researchers working in differential geometry, singularity theory, computer vision, and related areas, the text can also serve as material for an undergraduate reading course. 196 pp. Englisch. Codice articolo 9783031870156
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Geometric Deformations of Discriminants and Apparent Contours (Paperback)
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ISBN 10: 3031870158
ISBN 13: 9783031870156
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Paperback. Condizione: new. Paperback. This book presents new and original results on the deformations of apparent contours of surfaces in Euclidean 3-space and the discriminants of plane-to-plane map-germs. Given a viewing direction, the apparent contour (also called the profile or outline) is the projection of the set of points on the surface where the viewing direction is tangent to the surface. Apparent contours are extensively used in computer vision and image analysis and pose significant mathematical challenges. As the viewing direction varies, the apparent contour deforms, with emerging and vanishing inflections and vertices. The book provides a complete catalog of these bifurcations for generic surfaces as the viewing direction changes. Additionally, it explores geometric invariants that determine the maximum number of inflections and vertices that may appear in such deformations of an apparent contour. Aimed at researchers working in differential geometry, singularity theory, computer vision, and related areas, the text can also serve as material for an undergraduate reading course. Given a viewing direction, the apparent contour (also called the profile or outline) is the projection of the set of points on the surface where the viewing direction is tangent to the surface. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783031870156
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