公开(公告)号：US06462739B1

公开(公告)日：2002-10-08

申请号：US09272237

申请日：1999-03-18

Applicant: Naresh Chand Gupta

Inventor： Naresh Chand Gupta

IPC: G06T1120

CPC classification number: G06T11/203

Abstract: A system generates a smoothed curve from a noisily drawn, multi-segmented curve by minimizing an energy function for a smoothed curve which fits between end-points of the drawn curve. The energy function has three components: a distortion component, a smoothing component and a shrink component. Numerical analysis methods are applied to evaluate the energy function and to identify the smoothed curve with the lowest energy. The transposed curve with the lowest energy value is selected as the smoothed curve.

Abstract translation: 系统通过最小化适合于绘制曲线的终点之间的平滑曲线的能量函数，从噪声多分段曲线生成平滑曲线。 能量函数具有三个部分：失真分量，平滑分量和收缩分量。 应用数值分析方法评估能量函数，并用最低能量确定平滑曲线。 选择具有最低能量值的转置曲线作为平滑曲线。

公开(公告)号：US06727901B2

公开(公告)日：2004-04-27

申请号：US10214871

申请日：2002-08-07

Applicant: Naresh Chand Gupta

Inventor： Naresh Chand Gupta

IPC: G06T1120

CPC classification number: G06T11/203

Abstract: A system generates a smoothed curve from a noisily drawn, multi-segmented curve by minimizing an energy function for a smoothed curve which fits between end-points of the drawn curve. The energy function has three components: a distortion component, a smoothing component and a shrink component. Numerical analysis methods are applied to evaluate the energy function and to identify the smoothed curve with the lowest energy. The transposed curve with the lowest energy value is selected as the smoothed curve.

Abstract translation: 系统通过最小化适合于绘制曲线的终点之间的平滑曲线的能量函数，从噪声多分段曲线生成平滑曲线。 能量函数具有三个部分：失真分量，平滑分量和收缩分量。 应用数值分析方法评估能量函数，并用最低能量确定平滑曲线。 选择具有最低能量值的转置曲线作为平滑曲线。