Line Geometry for 3D Shape Understanding and Reconstruction

Pottmann, Helmut; Höfer, Michael; Odehnal, Boris; Wallner, Johannes

doi:10.1007/978-3-540-24670-1_23

Cited by 26 publications

(45 citation statements)

References 20 publications

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“…A slippable motion is the one where the point-to-plane distance between P T and P O is zero [GIRL03]. Pottman [PR98,PHOW04] determines if a given pointset is sampled from a kinematic surface by analyzing the normals of P in line-space, which leads to a similar minimization problem.…”

Section: Computing Slippable Motionsmentioning

confidence: 99%

Shape segmentation using local slippage analysis

Gelfand

Guibas

2004

Proceedings of the 2004 Eurographics/Acm SIGGRAPH Symposium on Geometry Processing

166

120

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We propose a method for segmentation of 3D scanned shapes into simple geometric parts. Given an input point cloud, our method computes a set of components which possess one or more slippable motions: rigid motions which, when applied to a shape, slide the transformed version against the stationary version without forming any gaps. Slippable shapes include rotationally and translationally symmetrical shapes such as planes, spheres, and cylinders, which are often found as components of scanned mechanical parts. We show how to determine the slippable motions of a given shape by computing eigenvalues of a certain symmetric matrix derived from the points and normals of the shape. Our algorithm then discovers slippable components in the input data by computing local slippage signatures at a set of points of the input and iteratively aggregating regions with matching slippable motions. We demonstrate the performance of our algorithm for reverse engineering surfaces of mechanical parts.

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Section: Computing Slippable Motionsmentioning

confidence: 99%

Shape segmentation using local slippage analysis

Gelfand

Guibas

2004

Proceedings of the 2004 Eurographics/Acm SIGGRAPH Symposium on Geometry Processing

166

120

View full text Add to dashboard Cite

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“…To have this advantageous features from bundle-block calibration in our calibration test-stand, we have used the geometrical shape of a Spherical Helix (Type: 3D Spherical Spiral). One of the special characteristics of this geometrical shape is that it has a uniform radius which corresponds to the uniform motion (Pottmann et al, 2001) (Pottmann et al 2004).…”

Section: Test-stand Geometrical Designmentioning

confidence: 99%

Introducing Novel Generation of High Accuracy Camera Optical-Testing and Calibration Test-Stands Feasible for Series Production of Cameras

Shahraki

Haala

2015

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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ABSTRACT:The recent advances in the field of computer-vision have opened the doors of many opportunities for taking advantage of these techniques and technologies in many fields and applications. Having a high demand for these systems in today and future vehicles implies a high production volume of video cameras. The above criterions imply that it is critical to design test systems which deliver fast and accurate calibration and optical-testing capabilities. In this paper we introduce new generation of test-stands delivering high calibration quality in single-shot calibration of fisheye surround-view cameras. This incorporates important geometric features from bundle-block calibration, delivers very high (sub-pixel) calibration accuracy, makes possible a very fast calibration procedure (few seconds), and realizes autonomous calibration via machines. We have used the geometrical shape of a Spherical Helix (Type: 3D Spherical Spiral) with special geometrical characteristics, having a uniform radius which corresponds to the uniform motion. This geometrical feature was mechanically realized using three dimensional truncated icosahedrons which practically allow the implementation of a spherical helix on multiple surfaces. Furthermore the test-stand enables us to perform many other important optical tests such as stray-light testing, enabling us to evaluate the certain qualities of the camera optical module.

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“…After quickly recognizing the border of the scattered point clouds according to the normal vector and curva ture, based on line element geometry knowledge [9,10], the ruled generatrix vector is extracted using back-projection, by means of which a nonrigid registration is used to match border points. For constructed surfaces, balancing point cloud coincidence, smoothness, machinability, and design convenience is too difficult.…”

Section: Introductionmentioning

confidence: 99%

Algorithm to Construct Line-Shaped Feature Point Clouds of Single-Value Ruled Blades for Gas Turbines

Zhou

Wang

et al. 2014

Journal of Manufacturing Science and Engineering

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A lg o rith m to C onstruct L in e -S h a p e d F e a tu re P o in t C louds of S in g le -V a lu e R u le d B la d e s fo r G as T u rb in e sUsing the geometric features of surfaces, we proposed an algorithm to construct line shaped feature point clouds for the reverse design of a blade surface. Blade surfaces in the gas turbines field require high accuracy and have complex shapes. By quickly recog nizing the border of the scattered point clouds of blades, the back-project method was used to extract the ruled generatrix vector. By solving the multi-objective optimization problem of border point clouds, the annealing algorithm was applied to match border point clouds nonrigidly. Equally divided points were constructed based on the point clouds registration results to get inerratic-orderly line-shaped feature point clouds that are beneficial for generating high quality blade surfaces quickly. The proposed algorithm is very effective for dealing with the point clouds of single-value ruled blades. It is also theoretically significant and may be applied for reconstructing the surface of point clouds of single-value ruled blade surfaces. Experiments verify the feasibility of the proposed algorithm.From the geometric continuity of the curved surface, the border features of blade surfaces [11] can be divided into three types:

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Line Geometry for 3D Shape Understanding and Reconstruction

Cited by 26 publications

References 20 publications

Shape segmentation using local slippage analysis

Shape segmentation using local slippage analysis

Introducing Novel Generation of High Accuracy Camera Optical-Testing and Calibration Test-Stands Feasible for Series Production of Cameras

Algorithm to Construct Line-Shaped Feature Point Clouds of Single-Value Ruled Blades for Gas Turbines

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