【摘要】 提出了基于图像数据构造拟合曲面的新方法.假设给定的图像数据所对应的原场景曲面能用分片二次多项式曲面表示,原场景曲面称为原曲面.现有方法通常是用图像数据作为插值数据构造原曲面的拟合曲面,而新方法以图像数据生成公式为约束,通过反向采样过程来构造对图像数据拟合的曲面,从而使拟合曲面具有更好的逼近精度.由于图像边缘处的质量对图像的视觉效果起着关键的作用,我们也把图像边缘做为约束条件用于拟合曲面的构造.对于每一个数据点及其邻近区域,新方法以采样公式和图像边缘作为约束条件局部地构造一张二次多项式曲面片,该曲面片具有二次多项式精度.所有的二次多项式曲面片的加权组合形成逼近原曲面的拟合曲面.对算法比较的实验表明,由新方法生成的放大图像具有较高的精度和较好的视觉效果.更多还原

【Abstract】 A new method for constructing a fitting surface based on image data is presented.The new method is based on a supposition that the image data are sampled from an original scene that can be represented by a surface defined by piecewise quadratic polynomials.The surface representing the original scene is known as the original surface in this paper.Unlike existing methods,which generally construct the fitting surface to the original surface using image data as interpolation data,the new method constructs the fitting surface using the sampling formula as constraints to reverse the process of producing the image data,which improves the approximation precision of the fitting surface.As the quality of the image edges plays a key role in visual effects of image,image edges are also used as constraints in the construction of the fitting surface.Associated with each data point and its near region,the new method constructs a quadratic polynomial patch locally using the sampling formula and image edges as constraints.The quadratic patch approximates the original surface with a quadratic polynomial precision.The fitting surface which approximates the original surface is formed by the combination of all the quadratic polynomial patches.The experimental comparison of methods shows that the new method produced resized images with high precision and good quality.更多还原