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Biquadratic S-Patch in Bézier form

Result description

Mutual conversions between triangular and quadrilateral meshes need the same degree of both diagonal and boundary curves of quadrilateral meshes. New approach to quadrilateral patches, S-Patches, offers such possibility. The Bézier approach of Smart patches (S-Patch) in the biquadratic case is analyzed. Dependencies among the control points are derived. BS-Patches are presented. Close relation between Bézier triangles and BSPatches is found. Condition for smooth concatenation of biquadratic BS-Patches is formulated.

Keywords

parametric modelingS-patchBézier patchBézier triangle

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Biquadratic S-Patch in Bézier form

  • Original language description

    Mutual conversions between triangular and quadrilateral meshes need the same degree of both diagonal and boundary curves of quadrilateral meshes. New approach to quadrilateral patches, S-Patches, offers such possibility. The Bézier approach of Smart patches (S-Patch) in the biquadratic case is analyzed. Dependencies among the control points are derived. BS-Patches are presented. Close relation between Bézier triangles and BSPatches is found. Condition for smooth concatenation of biquadratic BS-Patches is formulated.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    WSCG ' 2011 Communication Papers Proceedings

  • ISBN

    978-80-86943-82-4

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

  • Publisher name

    Vaclav Skala ? Union Agency

  • Place of publication

    Plzeň

  • Event location

    Plzeň

  • Event date

    Jan 31, 2011

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

Result type

D - Article in proceedings

D

CEP

IN - Informatics

Year of implementation

2011