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Geodesics on Triangle Meshes by David Eberly is a book available to read on EtoBox.
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1 Introduction 3 2 Two Triangles 3 2.1 Setting Up the Minimization Problem 4 2.2 Analysis of Convexity 4 2.3 Examples 5 2.4 Numerical Implementation 7 3 Three Triangles 9 3.1 Setting Up the Minimization Problem 10 3.2 Analysis of Convexity 12 3.3 Examples 12 3.4 Iterative Search for a Minimum 23 3.4.1 Determining Whether a Minimum Search is Necessary 23 3.4.2 Searching for a Minimum 24 3.5 Numerical Implementation 26 4 More Than Three Triangles 30 4.1 Iterative Search for a Minimum 31 4.1.1 The Case of Four Triangles 32 4.1.2 The Case of Five Triangles 34 4.2 Analysis of Convexity 36 4.3 The Four-Triangle Numerical Implementation 37 4.4 The Five-Triangle Numerical Implementation 43 4.5 The N-Triangle Numerical Implementation 50 5 The General Case 51
- Author
- David Eberly
- Language
- EN
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