3D Estimation of Isometric Surfaces Using a ToF-Based Approach

Hosseini, S. Jafar; Araújo, Hélder

doi:10.1007/978-3-319-14364-4_13

Cited by 1 publication

(2 citation statements)

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“…One of them makes use of the upper‐bound model and the other uses the differential model: The SOCP‐based algorithm proposed in [15], in which the authors use a triangular mesh together with a‐priori datasets for learning the deformations. The deformation constraints are expressed using the upper‐bound model. The approach of [16], where the authors used a differential model to represent the deformation constraints, and applied an optimisation method to this model. In a previous approach [20], we have proposed the use of a Time‐of‐Flight (ToF)‐camera in combination with a conventional camera in order to enhance the reconstruction when there is a limited number of tracked points. However, our new approach enhances the results of the previous approach when a large number of points are available.…”

Section: Resultsmentioning

confidence: 99%

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SDP‐based approach to monocular reconstruction of inextensible surfaces

Hosseini

Araújo

2016

IET Computer Vision

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This study addresses the problem of monocular reconstruction of surfaces that deform isometrically, using points tracked in a single image. To tackle this problem, a flat three‐dimensional (3D) shape of the surface and its image are used as template. Such deformations are characterised by certain geometric constraints and to reconstruct the surfaces, these constraints have to be properly exploited. Therefore, the authors propose an algebraic formula that aims at the joint expression of the geometric constraints, namely those based on the differential properties and also those based on the upper‐bound model. This expression is, in fact, a unique formulation that results from integrating these two types of constraints, and leads to the intended reconstructions, even when the surface is not strictly isometric. The template shape is used to set the parameters of the expression, which is then optimised (along with the projection equations) by means of a semi‐definite programming (SDP) problem. This optimisation enables the estimation of 3D positions of the points on the surface. However, and for implementation purposes, this optimisation is applied separately to patches which, together, make up the whole surface. The experimental results show that the proposed approach improves the results from other methods in terms of accuracy.

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Section: Resultsmentioning

confidence: 99%

“…In a previous approach [20], we have proposed the use of a Timeof-Flight (ToF)-camera in combination with a conventional camera in order to enhance the reconstruction when there is a limited number of tracked points. However, our new approach enhances the results of the previous approach when a large number of points are available.…”

Section: Comparative Studymentioning

confidence: 99%