形状モデリング論

(1) ソリッドモデリングの基礎とモデル表現 (2) サーフェススキャニングの基礎、 点群処理、特に、点群からのメッシュ生成 (3) メッシュデータのポスト処理（簡略化、セグメンテーション、パラメタライゼーションなど） 教科書: Botch et. al. Polygonal Mesh Processing (4) X線トモグラフィーの基礎とボリュームデータ処理 教科書：Lohnmann: Volumetric Image Analysis 1. Solid Modeling - Geometric Model = Subset of 3D Space - Modeling Space - R-set -- Regularized set operation -- CSG -- Implicit Modeling - Orientable Closed 2-Manifold -- Graph embedding -- B-Reps (polygon solid, surface solid) 2. Surface representations - Parametric surface representations -- Spline surfaces, subdivision surfaces, triangle meshes - Implicit surface representations (Regular grids, adaptive data structures) - Triangular Mesh Modeling -- Mesh data structures -- Surface scanning -- Point cloud, meshing -- Differential properties of a surface -- Mesh smoothing -- Mesh decimation -- Mesh deformation -- Mesh Segmentation -- Mesh Retrieval 3. Volumetric Modeling - Computed Tomography - Data structure, Octree - Binary Volumetric Image Processing -- Binarization -- Boolean Operations -- Labeling (connected component) -- Shape characteristics measure -- Morphology -- Thinning -- Topological characteristics -- Distance Transform and Medial Axis - Grey Scale Volumetric Image Processing -- Basic Volumetric Image Processing ---- Transformation, Smoothing, Differential filtering --- Edge detection --- Texture filter --- Segmentation 1. Solid Modeling Modeling Space and scheme - R-set -- CSG - Implicit Modeling - Orientable Closed 2-Manifold -- B-Reps (polygon solid, surface solid) -Surface representations -- Parametric surface representations (Spline surfaces, subdivision surfaces, triangle meshes) -- Implicit surface representations (Regular grids, adaptive data structures) 2. Triangular Mesh Modeling (Ref: Botch et. al. Polygonal Mesh Processing) - Mesh data structures - Surface scanning -- Point cloud and meshing - Differential properties of a surface - Mesh smoothing - Mesh decimation - Mesh deformation 3. Volumetric Modeling (Ref: Lohnmann: Volumetric Image Analysis) - XCT scanning - Data structure -- Octree - Binary Volumetric Image Processing -- Boolean Operations -- Labeling (connected component) -- shape characteristics measure -- Morphology ---Thinning -- Topological characteristics -- Distance Transform and Medial Axis - Grey Scale Volumetric Image Processing -- Binarization -- Transformation -- Smoothing -- Differential filtering, Edge detection -- Texture filter -- Segmentation

出席とレポート

Botch et. al. Polygonal Mesh Processing 及びLohnmann: Volumetric Image Analysis

基礎を固める（工学部共通）