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Guide to 3D Vision Computation

Geometric Analysis and Implementation

  • Textbook
  • © 2016

Overview

Authors:
  1. Kenichi Kanatani

    1. Okayama University, Okayama, Japan

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  2. Yasuyuki Sugaya

    1. Toyohashi University of Technology, Toyohashi, Japan

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  3. Yasushi Kanazawa

    1. Toyohashi University of Technology, Toyohashi, Japan

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  • Presents state-of-the-art algorithms essential for 3D analysis from images
  • Provides direct algorithm descriptions without mathematical preliminaries
  • Includes helpful implementation details for efficient computation and wise memory use
  • Describes the underlying mathematical theories separately at the end of the volume, and supplies sample codes at an associated website
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advances in Computer Vision and Pattern Recognition (ACVPR)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
    Pages 1-8

  3. Fundamental Algorithms for Computer Vision

    1. Front Matter

      Pages 9-9
      Download chapter PDF

    2. Ellipse Fitting

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 11-32

    3. Fundamental Matrix Computation

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 33-57

    4. Triangulation

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 59-68

    5. 3D Reconstruction from Two Views

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 69-80

    6. Homography Computation

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 81-97

    7. Planar Triangulation

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 99-105

    8. 3D Reconstruction of a Plane

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 107-115

    9. Ellipse Analysis and 3D Computation of Circles

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 117-129

  4. Multiview 3D Reconstruction Techniques

    1. Front Matter

      Pages 131-131
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    2. Multiview Triangulation

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 133-147

    3. Bundle Adjustment

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 149-161

    4. Self-calibration of Affine Cameras

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 163-182

    5. Self-calibration of Perspective Cameras

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 183-210

  5. Mathematical Foundation of Geometric Estimation

    1. Front Matter

      Pages 211-211
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    2. Accuracy of Geometric Estimation

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 213-229

    3. Maximum Likelihood of Geometric Estimation

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 231-242

    4. Theoretical Accuracy Limit

      • Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
      Pages 243-254
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Keywords

About this book

This classroom-tested and easy-to-understand textbook/reference describes the state of the art in 3D reconstruction from multiple images, taking into consideration all aspects of programming and implementation. Unlike other computer vision textbooks, this guide takes a unique approach in which the initial focus is on practical application and the procedures necessary to actually build a computer vision system. The theoretical background is then briefly explained afterwards, highlighting how one can quickly and simply obtain the desired result without knowing the derivation of the mathematical detail. Features: reviews the fundamental algorithms underlying computer vision; describes the latest techniques for 3D reconstruction from multiple images; summarizes the mathematical theory behind statistical error analysis for general geometric estimation problems; presents derivations at the end of each chapter, with solutions supplied at the end of the book; provides additional material at anassociated website.

Authors and Affiliations

  • Okayama University, Okayama, Japan

    Kenichi Kanatani

  • Toyohashi University of Technology, Toyohashi, Japan

    Yasuyuki Sugaya, Yasushi Kanazawa

About the authors

Dr. Kenichi Kanatani is a Professor Emeritus at Okayama University, Japan. Drs. Yasuyuki Sugaya and Yasushi Kanazawa are Associate Professors in the Department of Computer Science and Engineering at Toyohashi University of Technology, Japan.

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