论文标题
HS-Patch：一种新的Hermite Smart Bicubic贴片修改
HS-Patch: A New Hermite Smart Bicubic Patch Modification
论文作者
论文摘要
双音调四面贴片被广泛用于计算机图形，CAD/CAM系统等。它们的灵活性很高，并且可以在最终渲染前压缩表面描述。但是，计算机图形硬件仅支持三角网格。因此，四面双子斑块通过三角形网近似。双音调斑块的边界曲线为3度，而对角线和反对条件曲线为6级。因此，所得的形状和纹理取决于实际映射，即如何制作双色块斑块的镶嵌。 The proposed new modification of the Hermite bicubic patch, the HS-patch, is a result of additional restriction put on the Hermite bicubic patch formulation - the diagonal and anti-diagonal curves are of degree 3. This requirement leads to a new Hermite based bicubic four-sided patch with 12 control points and another 4 control points, i.e. twist vectors, are computed from those 12 control points.
Bicubic four-sided patches are widely used in computer graphics, CAD/CAM systems etc. Their flexibility is high and enables to compress a surface description before final rendering. However, computer graphics hardware supports only triangular meshes. Therefore, four-sided bicubic patches are approximated by a triangular mesh. The border curves of a bicubic patch are of degree 3, while diagonal and anti-diagonal curves are of degree 6. Therefore the resulting shape and texturing depend on the actual mapping, i.e. how the tessellation of a bicubic patch is made. The proposed new modification of the Hermite bicubic patch, the HS-patch, is a result of additional restriction put on the Hermite bicubic patch formulation - the diagonal and anti-diagonal curves are of degree 3. This requirement leads to a new Hermite based bicubic four-sided patch with 12 control points and another 4 control points, i.e. twist vectors, are computed from those 12 control points.
