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    • 3. 发明授权
    • Method and apparatus for painting on a computer
    • 在计算机上绘画的方法和装置
    • US5182548A
    • 1993-01-26
    • US464025
    • 1990-01-10
    • Paul E. Haeberli
    • Paul E. Haeberli
    • G06T11/00
    • G06T11/001
    • A method and apparatus for painting in a computer controlled video display system is described. A current shape of a brush stroke is determined. A current direction of the brush stroke is determined. A current position is determined. A current color is set equal to a color at the current position. The step of drawing the brush image on the display comprises the steps of setting a color of the brush image equal to the current color, setting a position of the brush image equal to the current position, and setting a direction of the brush image equal to the current direction of the brush stroke.
    • 描述了一种用于在计算机控制的视频显示系统中绘画的方法和装置。 确定画笔笔划的当前形状。 确定画笔笔划的当前方向。 确定当前位置。 将当前颜色设置为等于当前位置的颜色。 在显示器上画刷子图像的步骤包括以下步骤:将刷子图像的颜色设置为等于当前颜色,将刷子图像的位置设置为等于当前位置,并将刷子图像的方向设置为等于 当前刷子笔划的方向。
    • 4. 发明授权
    • Fabrication of free form structures from planar materials
    • 从平面材料制造自由形式结构
    • US06819966B1
    • 2004-11-16
    • US10730391
    • 2003-12-06
    • Paul E. Haeberli
    • Paul E. Haeberli
    • G06F1750
    • G06F17/50G06T17/20G06T19/00G06T2219/021G06T2219/2008Y10S715/964
    • A free form source model is divided into surface sections by identifying external boundary edges and internal boundary edges. The boundaries are connected or further divided as necessary to achieve a perimeter about each surface section which is a single closed curve. Doubly curved surfaces may also be subdivided. A developable output surface which approximates each source model surface section is then determined by calculating the minimum cost triangulation of each source model perimeter. Costs to be minimized may include the deviation of the triangle surface normal from the edge normal, the degree of bending between adjacent triangles, or the departure of the approximated surface from the original surface. The two-dimensional boundary of the flattened surface guides fabrication of output segments from sheet material, which may be assembled into an output object comprised entirely of developable surfaces.
    • 通过识别外部边界边界和内部边界边缘,将自由形式源模型分为表面部分。 根据需要将边界连接或进一步分割以实现围绕作为单个闭合曲线的每个表面部分的周边。 双曲面也可以细分。 然后通过计算每个源模型周界的最小成本三角测量来确定近似每个源模型表面部分的可显影输出表面。 要最小化的成本可能包括三角形表面法线与边缘法线的偏差,相邻三角形之间的弯曲程度或近似表面与原始表面的偏离。 扁平表面的二维边界引导从板材制造输出段,其可以组装成完全由可显影表面组成的输出对象。