Computer-Aided Detection of Exact Reflection and Axisymmetry in B-rep CAD Models

Buric, Mladen; Brčić, Mario; Bojčetić, Nenad; Škec, Stanko

doi:10.14733/cadconfp.2022.251-256

Cited by 1 publication

(20 citation statements)

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“…CASD has been the subject in different research fields, such as mathematics [17], mechanical engineering [8], computer engineering [18], civil engineering [19], medicine [20], etc. When it comes to mechanical engineering, CASD has been explored for retrieval [21], The most common way to retrieve symmetry information in mechanical parts is through visual recognition by engineers [14,15]. As the number of 3D CAD models increases, the ability of engineers to visually recognize symmetry decreases.…”

Section: Computer-aided Symmetry Detectionmentioning

confidence: 99%

“…The common input models for CASD are solid 3D CAD models [3,8,11], cable-strut structures [12,30], voxel models [28], NURBS models [21,24], point clouds [29,31,32], and mesh models [33], etc. Most CASD techniques require complete input models [3,11,12,14,18,[26][27][28]30,32], while some can handle incomplete input models [25,29,31,32]. Some CASD techniques use the initial input models for further processing and conversion.…”

Section: Computer-aided Symmetry Detectionmentioning

confidence: 99%

Section: Planes and Axes Of Symmetry Candidatesmentioning

confidence: 99%

“…The common strategy for many CASD techniques [3,8,11,12,14,15,[29][30][31]33,34] is to first generate a set of candidates for the planes of symmetry and/or the axis of symmetry from the given input model. The candidates are, for instance, obtained by principal component analysis [14,15,27], pair matching [8,11,35], incremental rotations around the centroid/center of mass [12,30], from the intrinsic surface properties [3,36], etc. Some of the proposed techniques [12,14,30] are constrained to only detect candidates that pass through a reference point (e.g., origin, centroid, or center of mass), which is, however, only suitable for objects exhibiting exact symmetry [11].…”

Section: Planes and Axes Of Symmetry Candidatesmentioning

confidence: 99%

“…For instance, a mechanical part can be simultaneously reflectional and cyclic symmetric (Figure 1c). The most common way to retrieve symmetry information in mechanical parts is through visual recognition by engineers [14,15]. As the number of 3D CAD models increases, the ability of engineers to visually recognize symmetry decreases.…”

Section: Introductionmentioning

confidence: 99%

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A Framework for Detection of Exact Global and Partial Symmetry in 3D CAD Models

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The most common way to retrieve symmetry information (i.e., the planes and axes of symmetry) in 3D CAD models is through visual recognition by engineers. However, engineers are not able to visually recognize exact symmetry in any CAD model, and their ability to recognize symmetry decreases as the number of CAD models increases. To overcome these limitations, computer-aided symmetry detection is employed, which enables the (semi)automatic extraction of the symmetry information in CAD models. Hence, the present paper introduces a symmetry detection framework for 3D CAD models with boundary representation. The novelty of this research was that it addressed the detection of exact and partial axi- and reflectional symmetry in CAD models with analytic and numeric surfaces. Further, symmetry measures were proposed to differentiate exact, partial, or non-symmetry in the CAD model. The framework was implemented into a state-of-the-art CAD system and subjected to performance and time complexity validation. The results showed that the implemented framework’s performance was 0.94 F1-score, and the time complexity was linear with respect to the number of faces in the CAD model. Hence, it was concluded that the framework is suitable for industrial applications to support engineers in symmetry detection.

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