HT-based Recognition of Patterns on 3D Shapes Using a Dictionary of Mathematical Curves

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dc.contributor.authorRomanengo, Chiaraen_US
dc.contributor.authorBiasotti, Silviaen_US
dc.contributor.authorFALCIDIENO, BIANCAen_US
dc.contributor.editorAgus, Marco and Corsini, Massimiliano and Pintus, Ruggeroen_US
dc.date.accessioned2019-11-20T08:12:36Z
dc.date.available2019-11-20T08:12:36Z
dc.date.issued2019
dc.description.abstractCharacteristic curves play a fundamental role in the way a shape is perceived and illustrated. To address the curve recognition problem on surfaces, we adopt a generalisation of the Hough Transform (HT) which is able to deal with mathematical curves. In particular, we extend the set of curves so far adopted for curve recognition with the HT and propose a new dictionary of curves to be selected as templates. In addition, we introduce rules of composition and aggregation of curves into patterns, not limiting the recognition to a single curve at a time. Our method recognises various curves and patterns, possibly compound on a 3D surface. It selects the most suitable profile in a family of curves and, deriving from the HT, it is robust to noise and able to deal with data incompleteness. The system we have implemented is open and allows new additions of curves in the dictionary of functions already available.en_US
dc.description.sectionheadersFull Papers
dc.description.seriesinformationSmart Tools and Apps for Graphics - Eurographics Italian Chapter Conference
dc.identifier.doi10.2312/stag.20191361
dc.identifier.isbn978-3-03868-100-7
dc.identifier.issn2617-4855
dc.identifier.pages31-40
dc.identifier.urihttps://doi.org/10.2312/stag.20191361
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/stag20191361
dc.publisherThe Eurographics Associationen_US
dc.subjectComputing methodologies
dc.subjectShape modeling
dc.subjectRepresentation of mathematical objects
dc.titleHT-based Recognition of Patterns on 3D Shapes Using a Dictionary of Mathematical Curvesen_US
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Italian Chapter Conference 2019 - Smart Tools and Apps in computer Graphics