Color gradient paths

A color gradient generation system comprising:

• an input component that receives information associated with at least one boundary curve, zero or more feature curves and colors associated with the boundary curve(s) and the feature curve(s);
• an intermediate representation component that provides an intermediate approximation of the boundary curve(s) and the feature curve(s) based, at least in part, line segments approximating the boundary curve(s) and the feature curve(s);
• and,
• a gradient generator that generates a color gradient based, at least in part, upon the line segments approximating the boundary curve(s) and the feature curve(s) and the colors associated with the boundary curve(s) and the feature curve(s), the gradient generator further employing an interpolation method to generate the color gradient.

A color gradient generation system comprising:

• an input component that receives information associated with at least one boundary surface, zero or more feature surfaces and colors associated with the boundary surface(s) and the feature surface(s);
• an intermediate representation component that provides an intermediate approximation of the boundary surface(s) and the feature surface(s) based, at least in part, on surface segments approximating the boundary surface and the feature surface;
• and,
• a gradient generator that generates a color gradient based, at least in part, upon the surface segments approximating the boundary surface(s) and the feature surface(s) and the colors associated with the boundary surface(s) and the feature surface(s), the gradient generator further employing an interpolation method to generate the color gradient.

A general gradient generation system comprising:

• an input component that receives information associated with at least one boundary curve or boundary surface, zero or more feature curves or feature surfaces, and a scalar-valued or vector-valued field defined on the boundaries and features;
• an intermediate representation component that provides an intermediate approximation of the boundaries and features;
• and,
• a gradient generator that generates a scalar-valued or vector-valued field throughout the interior of the region defined by the boundaries, matching the input scalar-valued or vector-valued field where it is defined on the boundaries and features.

A partial differential equation interpolation method facilitating a color gradient comprising:

• rasterizing an input curve onto a bitmap;
• generate a color gradient based, at least in part, upon a solution to a partial differential equation;
• determining whether the partial differential solution is finished and/or an error is less than a threshold value;
• and,
• re-generating the color gradient, if the partial differential solution is not finished and the error is not less than the threshold value.

A method of generating a color gradient comprising:

• receiving information associated with an input path;
• receiving a request for the color gradient to be generated;
• and,
• generating the color gradient based, at least in part, the input path information.

A method of generating a color gradient comprising:

• receiving information associated with an input path;
• approximating the input path with line segments;
• converting the line segments into three, four or five-dimensional line segments;
• utilizing a multi-dimensional smooth surface fitting/reconstruction algorithm to generate the color gradient;
• and,
• providing the color gradient.

A computer readable medium storing computer executable components of a color gradient generation system, comprising:

• an input component that receives information associated with at least one boundary curve, zero or more feature curves and colors associated with the boundary curve(s) and the feature curve(s);
• an intermediate representation component that provides an intermediate representation of the boundary curve(s) and the feature curve(s);
• and,
• a gradient generator component that generates a color gradient based, at least in part, upon the intermediate representation of the boundary curve(s) and the feature curve(s) and the colors associated with the boundary curve(s) and the feature curve(s), the gradient generator further employing an interpolation method to generate the color gradient.

A color gradient generation system comprising:

• means for receiving information associated with at least one boundary curve, zero or more feature curves and colors associated with the boundary curve(s) and the feature curve(s);
• means for providing an intermediate representation of the boundary curve(s) and the feature curve(s);
• and,
• means for generating a color gradient based, at least in part, upon the intermediate representation of the boundary curve(s) and the feature curve(s) and the colors associated with the boundary curve(s) and the feature curve(s), the means for generating a color gradient further employing an interpolation method to generate the color gradient.