Inverse problem of rotation of three-dimensional vector signals

An indirect way of reconstructing the coordinates of points on the surface of a 3D object by its pla nar parallel projections is proposed. The approach is based on the substitution of the object by another (vir tual) object, for which this operation can be carried out simply, whereas the correctness of the obtained results is controlled. The specificities of obtaining a mathematical model of reconstructed objects with a polyhedral shape, the issues of normalization of the angular discrepancies between the recognized and the etalon objects, and the solution of the problem of their recognition based on the introduced model are considered.Keywords: parallel projection of the object, image of the shadow of the object, reconstruction of coordinates of the object points, reconstruction of the image of polyhedron, recognition of the image of polyhedron, the wire model of convex polyhedron, contour analysis, correction of the rotation angle.

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Reconstruction of images and recognition of polyhedral objects

Furman

Eruslanov

Egoshina

2012

Pattern Recognit. Image Anal.

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Iterative algorithm for angular matching of group point objects with a priori uncertainty of parameters

Furman

Egoshina

Eruslanov

2013

Pattern Recognit. Image Anal.

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Descriptive image analysis: Genesis and current trends

Gurevich

Yashina

2017

Pattern Recognit. Image Anal.

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Inverse problem of rotation of three-dimensional vector signals

Cited by 5 publications

References 1 publication

Reconstruction of images and recognition of polyhedral objects

Reconstruction of images and recognition of polyhedral objects

Iterative algorithm for angular matching of group point objects with a priori uncertainty of parameters

Descriptive image analysis: Genesis and current trends

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