Diffusion-Driven Wavelet Design for Shape Analysis
暫譯: 擴散驅動的小波設計於形狀分析
Hou, Tingbo, Qin, Hong
- 出版商: A K Peters
- 出版日期: 2014-11-01
- 售價: $3,440
- 貴賓價: 9.5 折 $3,268
- 語言: 英文
- 頁數: 208
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1482220296
- ISBN-13: 9781482220292
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其他版本:
Diffusion-Driven Wavelet Design for Shape Analysis
海外代購書籍(需單獨結帳)
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商品描述
From Design Methods and Generation Schemes to State-of-the-Art Applications
Wavelets are powerful tools for functional analysis and geometry processing, enabling researchers to determine the structure of data and analyze 3D shapes. Suitable for researchers in computer graphics, computer vision, visualization, medical imaging, and geometric modeling as well as graduate and senior undergraduate students in computer science, Diffusion-Driven Wavelet Design for Shape Analysis presents recent research results in wavelet designs on 3D shapes and their applications in shape analysis. It explains how to apply the design methods to various types of 3D data, such as polygonal meshes, point clouds, manifolds, and volumetric images.
Extensions of Wavelet Generation on Volumetric and Manifold Data
The first part of the book introduces design methods of wavelets on manifold data, incorporating interdisciplinary knowledge from differential geometry, functional analysis, Fourier transform, spectral graph theory, and stochastic processes. The authors show how wavelets are purely determined by the shape geometry and how wavelet transforms are computed as inner products of wavelet kernels and input functions.
Wavelets for Solving Computer Graphics Problems
The second part presents applications in shape analysis/representation. The book looks at wavelets as spectral tools for geometry processing with filters in a joint space-frequency domain and examines wavelets as detail extractors for shape feature definition and detection. Going beyond these fundamental applications, the book also covers middle- and high-level applications, including shape matching, shape registration, and shape retrieval.
Easy-to-Understand Implementations and Algorithms
Unlike many other wavelet books, this one does not involve complicated mathematics. Instead, the book uses simplified formulations and illustrative example
商品描述(中文翻譯)
從設計方法與生成方案到最先進的應用
小波(Wavelets)是功能分析和幾何處理的強大工具,使研究人員能夠確定數據的結構並分析三維形狀。適合計算機圖形學、計算機視覺、可視化、醫學影像和幾何建模的研究人員,以及計算機科學的研究生和高年級本科生,基於擴散驅動的小波設計於形狀分析介紹了在三維形狀上的小波設計及其在形狀分析中的應用的最新研究成果。它解釋了如何將設計方法應用於各種類型的三維數據,如多邊形網格、點雲、流形和體積影像。
對於體積和流形數據的小波生成擴展
本書的第一部分介紹了流形數據上小波的設計方法,結合了來自微分幾何、功能分析、傅立葉變換、光譜圖論和隨機過程的跨學科知識。作者展示了小波如何完全由形狀幾何決定,以及小波變換如何作為小波核與輸入函數的內積來計算。
用於解決計算機圖形學問題的小波
第二部分介紹了形狀分析/表示的應用。本書將小波視為幾何處理的光譜工具,使用聯合空間-頻率域中的濾波器,並檢視小波作為形狀特徵定義和檢測的細節提取器。除了這些基本應用外,本書還涵蓋了中高級應用,包括形狀匹配、形狀註冊和形狀檢索。
易於理解的實現和算法
與許多其他小波書籍不同,本書不涉及複雜的數學。相反,本書使用簡化的公式和示例來說明。