Computational Geometry, Topology and Physics of Digital Images with Applications: Shape Complexes, Optical Vortex Nerves and Proximities
暫譯: 數位影像的計算幾何、拓撲與物理學應用:形狀複合體、光學漩渦神經與鄰近性
Peters, James F.
- 出版商: Springer
- 出版日期: 2019-10-15
- 售價: $7,920
- 貴賓價: 9.5 折 $7,524
- 語言: 英文
- 頁數: 440
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3030221911
- ISBN-13: 9783030221911
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相關分類:
物理學 Physics
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相關主題
商品描述
This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes.
The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, computational physics is synonymous with the study of the fine structure of light choreographed in video frames. This choreography appears as a sequence of snapshots of light reflected and refracted from surface shapes, providing a solid foundation for detecting, analyzing and classifying visual scene shapes.
商品描述(中文翻譯)
這本書探討數位影像和視頻幀序列的計算幾何、拓撲學和物理學。這三種計算方法涵蓋了形狀複合體、光漩渦神經和嵌入三角化視頻幀及單一影像中的接近性研究,而計算幾何則專注於注入三角化視覺場景的幾何結構。
本書首先討論細胞複合體的拓撲學,以提供視覺場景計算拓撲學入門研究的基礎,探索視覺場景中通常出現的結構、形狀和構造。接著,本書檢視視覺場景的內在幾何和拓撲,以及視覺場景中光的細微結構和光的焦散,這涉及到災變理論以及光焦散摺痕和尖點的出現。在此基礎上,本書介紹了三角化數位影像中的光漩渦神經。在這個背景下,計算物理學與視頻幀中光的細微結構研究同義。這種編排呈現為一系列光的快照,這些光是從表面形狀反射和折射而來,為檢測、分析和分類視覺場景形狀提供了堅實的基礎。