Robust and Error-Free Geometric Computing

This is a how-to book for solving geometric problems robustly or error free in actual practice. The contents and accompanying source code are based on the feature requests and feedback received from industry professionals and academics who want both the descriptions and source code for implementations of geometric algorithms. The book provides a framework for geometric computing using several arithmetic systems and describes how to select the appropriate system for the problem at hand.

Key Features:

• A framework of arithmetic systems that can be applied to many geometric algorithms to obtain robust or error-free implementations
• Detailed derivations for algorithms that lead to implementable code
• Teaching the readers how to use the book concepts in deriving algorithms in their fields of application
• The Geometric Tools Library, a repository of well-tested code at the Geometric Tools website, https: //www.geometrictools.com, that implements the book concepts

這是一本解決幾何問題的實用指南，旨在提供在實際應用中無誤或穩健的解決方案。書中的內容和附帶的源代碼基於來自行業專業人士和學術界的需求和反饋，他們希望得到幾何算法的描述和源代碼實現。本書提供了一個幾何計算的框架，使用多種算術系統，並描述了如何選擇適合當前問題的系統。

主要特點：
- 一個算術系統框架，可應用於許多幾何算法，以獲得穩健或無誤的實現
- 詳細的演算法推導，可導出可實現的代碼
- 教讀者如何在其應用領域中應用書中的概念來推導算法
- 幾何工具庫，位於Geometric Tools網站（https://www.geometrictools.com），是一個經過充分測試的代碼庫，實現了本書中的概念。

Dave Eberly is the Chief Technologist for Geometric Tools, a company that provides contracting and consulting services for software development in computational mathematics in the fields of geometry, graphics, and physics. Previously, he worked at Microsoft on various projects including multisensor cameras for volumetric video, Microsoft Surface Hub, Microsoft HoloLens, and the machine-learning-based Custom Vision Service associated with the Artificial Intelligence and Research Initiative. He also worked at Omnivor Inc., a start-up company that develops algorithms and software for volumetric video.

Dave Eberly是Geometric Tools的首席技術專家，該公司提供計算數學領域中幾何、圖形和物理的軟體開發承包和諮詢服務。在此之前，他曾在微軟工作，參與了多個項目，包括用於體積視頻的多感應器攝像頭、微軟Surface Hub、微軟HoloLens以及與人工智慧和研究計劃相關的基於機器學習的自定義視覺服務。他還曾在Omnivor Inc.工作，該初創公司開發用於體積視頻的算法和軟體。