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The curved point-normal triangle, in short PN triangle, is an interpolation algorithm to retrieve a cubic Bézier triangle from the vertex coordinates of a regular flat triangle and normal vectors. The PN triangle retains the vertices of the flat triangle as well as the corresponding normals. It was first introduced by Saul Kato in 1999 and later independently by A. Vlachos et al. in 2001 and is primarily used in the field of computer graphics. The usage of the PN triangle enables the visualization of triangle based surfaces in a smoother shape at low cost in terms of rendering complexity and time.

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  • Point-normal triangle (en)
  • PN-треугольники (ru)
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  • The curved point-normal triangle, in short PN triangle, is an interpolation algorithm to retrieve a cubic Bézier triangle from the vertex coordinates of a regular flat triangle and normal vectors. The PN triangle retains the vertices of the flat triangle as well as the corresponding normals. It was first introduced by Saul Kato in 1999 and later independently by A. Vlachos et al. in 2001 and is primarily used in the field of computer graphics. The usage of the PN triangle enables the visualization of triangle based surfaces in a smoother shape at low cost in terms of rendering complexity and time. (en)
  • PN треугольники (англ. curved point-normal triangles, PN triangles) — способ геометрического представления трёхмерных объектов для их визуализации. Созданы для улучшения визуального качества триангулированных геометрических (как правило, трёхмерных) фигур. Делают поверхность визуализируемого объекта более гладкой. (ru)
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  • The curved point-normal triangle, in short PN triangle, is an interpolation algorithm to retrieve a cubic Bézier triangle from the vertex coordinates of a regular flat triangle and normal vectors. The PN triangle retains the vertices of the flat triangle as well as the corresponding normals. It was first introduced by Saul Kato in 1999 and later independently by A. Vlachos et al. in 2001 and is primarily used in the field of computer graphics. The usage of the PN triangle enables the visualization of triangle based surfaces in a smoother shape at low cost in terms of rendering complexity and time. (en)
  • PN треугольники (англ. curved point-normal triangles, PN triangles) — способ геометрического представления трёхмерных объектов для их визуализации. Созданы для улучшения визуального качества триангулированных геометрических (как правило, трёхмерных) фигур. Делают поверхность визуализируемого объекта более гладкой. Каждый PN треугольник представляет собой кубический треугольник Безье, основанный на трёх вершинах (b300, b030, b003) и трёх нормалях (n200, n020, n002) этих вершин исходного плоского («базового») треугольника. Основная идея метода заключается в использовании информации о вершинах и нормалях базового треугольника в создании кубического треугольника Безье для каждого такого исходного треугольника, а также в возможности генерирования любого количества треугольников из треугольника Безье. (ru)
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