Modified half-edge data structure and its applications to 3D mesh generation for complex tube networks

.................................................................. IV TABLE OF CONTENTS........................................................... V LIST OF FIGURES........................................................... VII LIST OF TABLES........................................................... VIII LIST OF ALGORITHMS......................................................... IX I. INTRODUCTION .......................................................... 1 II. 3D MODELING APPLICATIONS AND REPRESENTATIONS .......................... 6 A. MEDICAL TUBE STRUCTURES ................................................. 8 B. PROCEDURALLY GENERATED LEVELS ............................................ 9 C. PHYSICS SIMULATIONS .................................................... 12 III. OVERVIEW OF TRIANGULAR MESHES ...................................... 15 A. TRIANGULAR MESH DATA STRUCTURES .......................................... 17 B. HALF EDGE DATA STRUCTURE ............................................... 20 C. METRICS OF HALF EDGE DATA STRUCTURE ...................................... 24 IV. HALF EDGE DATA STRUCTURE IMPROVEMENTS ................................ 28 A. HASH TABLE FOR UNLINKED HALF EDGES ....................................... 28 1. Subdivision ...................................................... 29 2. Mesh Conversion .................................................. 32 3. Boundary Tracing ................................................. 33