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3D ball skinning using partial differential equations for generation of smooth tubular surfaces
3D ball skinning using partial differential equations for generation of smooth tubular surfaces
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机译：使用偏微分方程生成光滑管状表面的3D球蒙皮
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摘要
A method of computing a continuous interpolation of a discrete set of three-dimensional (3D) balls, including generating an initial skin, wherein the initial skin is a surface comprised of splines and wherein the splines touch each ball along a circle that is tangent to the ball, solving a first differential equation to minimize the initial skin's surface area or solving a second differential equation to minimize a squared mean curvature of the initial skin's surface, wherein the result of solving the first or second differential equations is an updated skin; and repeating the steps of solving the first or second differential equations for the updated skin, and then, repeating the steps of solving the first or second differential equations for each subsequently updated skin until a desired skin is realized.
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