Invariants extraction and Segmentation of 3D surface using Lie algebra model

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  • Kodama Takuya
    Depi. of Electrical,Electronic,and Communication Eng., Faculty of Science and Eng., Chuo University
  • UCHIMURA Motoki
    Depi. of Electrical,Electronic,and Communication Eng., Faculty of Science and Eng., Chuo University
  • SUZUKI Masaki
    Depi. of Electrical,Electronic,and Communication Eng., Faculty of Science and Eng., Chuo University
  • CHAO Jinhui
    Depi. of Electrical,Electronic,and Communication Eng., Faculty of Science and Eng., Chuo University

Bibliographic Information

Other Title
  • 線形リー代数モデルを用いた3次元物体形状の不変量抽出と領域分割([A]画像処理, コンピュータビジョンI)(マルチメディアおよび一般)
  • 線形リー代数モデルを用いた3次元物体形状の不変量抽出と領域分割
  • センケイ リー ダイスウ モデル オ モチイタ 3ジゲン ブッタイ ケイジョウ ノ フヘンリョウ チュウシュツ ト リョウイキ ブンカツ

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Abstract

This paper first presents robust algorithms to extract invariants of the lineai Lie algebra model from 3D objects. In paticular, an extended 3D Hough transform is presented to extract accuate estimates of the normal vectors.The Least square fitting is used to find normal vectors and representation matrices.Then an algorithm of segmentation for 3D objects is shown using the invariants of the linear Lie algebra. Distributions of invariants, both in the invariant space and on the object surface ,are ued for clustering and edge detection.

Journal

  • ITE Technical Report

    ITE Technical Report 26.23 (0), 7-12, 2002

    The Institute of Image Information and Television Engineers

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