Edge and Depth from Focus

Authors:
Naoki Asada;Hisanaga Fujiwara;Takashi Matsuyama
Affiliations:
Department of Intelligent Systems, Hiroshima City University, 3-4-1 Ozuka-Higashi, Asa-Minami, Hiroshima 731-31, Japan. E-mail: asada@its.hiroshima-cu.ac.jp;Industrial Research Center of Okayama, 5301 Haga, Okayama 701-12, Japan. E-mail: fujiwara@okakogi.go.jp;Department of Electronics and Communication, Kyoto University, Kyoto 606-01, Japan. E-mail: tm@kuee.kyoto-u.ac.jp
Venue:
International Journal of Computer Vision
Year:
1998

Citing 5
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Seeing behind the scene: analysis of photometric properties of occluding edges by the reversed projection blurring model

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A Variational Approach to Shape from Defocus

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A Fuzzy-Neural approach for estimation of depth map using focus

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3D shape from focus using LULU operators and discrete pulse transform in the presence of noise

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Short Communication: A rectilinear Gaussian model for estimating straight-line parameters

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Abstract

This paper proposes a novel method to obtain the reliable edge anddepth information by integrating a set of multi-focus images, i.e., asequence of images taken by systematically varying a camera parameter focus.In previous work on depth measurement using focusing or defocusing, theaccuracy depends upon the size and location of local windows where theamount of blur is measured. In contrast, no windowing is needed in ourmethod; the blur is evaluated from the intensity change along correspondingpixels in the multi-focus images. Such a blur analysis enables us not onlyto detect the edge points without using spatial differentiation but also toestimate the depth with high accuracy. In addition, the analysis result isstable because the proposed method involves integral computations such assummation and least-square model fitting. This paper first discusses thefundamental properties of multi-focus images based on a step edge model.Then, two algorithms are presented: edge detection using an accumulateddefocus image which represents the spatial distribution of blur, and depthestimation using a spatio-focal image which represents the intensitydistribution along focus axis. The experimental results demonstrate that thehighly precise measurement has been achieved: 0.5 pixel position fluctuationin edge detection and 0.2% error at 2.4 m in depth estimation.