Proceedings: GI 2017

Parameter Aligned Trimmed Surfaces

Shannon Halbert (University of Calgary), Faramarz Samavati (University of Calgary), Adam Runions (Max Planck Institute for Plant Breeding Research and University of Calgary)

Proceedings of Graphics Interface 2017: Edmonton, Alberta, 16-19 May 2017, 90 - 96

DOI 10.20380/GI2017.12

  • BibTex

    author = {Halbert, Shannon and Samavati, Faramarz and Runions, Adam},
    title = {Parameter Aligned Trimmed Surfaces},
    booktitle = {Proceedings of Graphics Interface 2017},
    series = {GI 2017},
    year = {2017},
    issn = {0713-5424},
    isbn = {978-0-9947868-2-1},
    location = {Edmonton, Alberta},
    pages = {90 -- 96},
    numpages = {7},
    doi = {10.20380/GI2017.12},
    publisher = {Canadian Human-Computer Communications Society / Soci{\'e}t{\'e} canadienne du dialogue humain-machine},


We present a new representation for trimmed parametric surfaces. Given a set of trimming curves in the parametric domain of a surface, our method locally reparametrizes the parameter space to permit accurate representation of these features without partitioning the surface into subsurfaces. Instead, the parameter space is segmented into subspaces containing the trimming curves, the boundaries of which are aligned to the local parameter axes. When multiple trimming curves are present, intersecting subspaces are further segmented using local Voronoï curve diagrams which allows the subspace to be distributed equally between the trimming curves. Transition patches are then used to reparametrize the areas around the trimming curves to accommodate the trimmed edges. This allows for high quality interpolation of the trimmed edges while still allowing parametric referencing and trimmed surface sampling.