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Geometric Deformations of Discriminants and Apparent Contours
Engelsk
Bogcover for Geometric Deformations of Discriminants and Apparent Contours af Farid Tari, Masaru Hasegawa, Mostafa Salarinoghabi, 9783031870156
Specifikationer
Sprog:
Engelsk
Sider:
186
ISBN-13:
9783031870156
Indbinding:
Paperback
ISBN-10:
3031870158
Udg. Dato:
25 apr 2025
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
25 apr 2025

Geometric Deformations of Discriminants and Apparent Contours

Engelsk
Paperback 2025
Format:

Bog beskrivelse

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.

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Specifikationer
Sprog:
Engelsk
Sider:
186
ISBN-13:
9783031870156
Indbinding:
Paperback
ISBN-10:
3031870158
Udg. Dato:
25 apr 2025
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
25 apr 2025
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