Direct recovering of Nth order surface structure using UOFF approach

Document Type

Conference Proceeding

Publication Date

1-1-1992

Abstract

There are two different approaches for estimation of structure and/or motion of objects from image sequences in the computer vision community today [1]. One is the optical flow approach [2], and the other is the feature correspondence approach. There are many difficulties and limitations encountered with the feature correspondence method, while the optical flow method requires a substantial amount of extra calculations if the optical flow is to be computed as an intermediate step [1]. Direct methods have been developed [3-7], that use the optical flow approach, but avoid computing the full optical flow field as an intermediate step for recovering structure and motion. The unified optical flow field (UOFF) theory was recently established [8-9]. It is an extension of the optical flow [2] to stereo imagery. Based on the UOFF, a direct method is being developed to reconstruct the curved surface structure characterized by an N-degree polynomial equation. The initial work on this new method [10] was very briefly reported as a two-page summary in [11]. In simulation [10-11], the partial derivatives of the image brightness function g with respect to the coordinate variables x and y on image plane, and to the spatial domain variable s were not derived from image data directly. Instead, they were obtained analytically, i.e., from prior knowledge of the surface illumination function distribution. And quantization error occurred in acquisition of image data was not considered there [10-11], i.e., the continuous image data were used in the simulation. In other words, the simulation conducted [10-11] was trying to show that the method is feasible if errors generated in determination of image gradients and quantization of image data could be ignored. In this paper, the theoretical framework of the new approach is reported in a much more complete and mature fashion. The above-mentioned two limitations have been eliminated. Except the recovering of a sphere being reported, which is closed and can be characterized by a second degree polynomial equation, the recovering of an unbounded third order α-shaped surface, which is defined in the paper, using the new approach with fairly good accuracy is for the first time reported in the paper. Some numerical consideration and error analysis are also included for the first time. Compared with the existing direct techniques [3-7] that can only recover the first order surface, our approach represents a significant progress.

Identifier

84910967796 (Scopus)

ISBN

[0780305930]

Publication Title

Proceedings IEEE International Symposium on Circuits and Systems

External Full Text Location

https://doi.org/10.1109/ISCAS.1992.230222

ISSN

02714310

First Page

1475

Last Page

1478

Volume

3

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