Drawing curves in space guided by 3-D objects
First Claim
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1. In a digital medium environment including a computing device executing a 3-D drawing module to perform an improved method for drawing a 3-D curve relative to a 3-D object, the method comprising:
- receiving, by the computing device, an input defining a 2-D curve that has been drawn relative to the 3-D object;
converting, by the computing device, the 2-D curve into a plurality of 2-D points;
discovering, by the computing device, candidate 3-D vertices for each of the plurality of 2-D points, the candidate 3-D vertices defining a potential location in a 3-D space for each of the plurality of 2-D points;
building, by the computing device, a point-to-point graph having the candidate 3-D vertices;
estimating, by the computing device, distances of the candidate 3-D vertices from the 3-D object;
processing, by the computing device, the point-to-point graph to define a plurality of vertex segments, each vertex segment of the plurality of vertex segments including a set of the candidate 3-D vertices;
constructing, by the computing device, from the estimated distances of the candidate 3-D vertices from the 3-D object and the plurality of vertex segments, a segment-to-segment graph;
processing, by the computing device, the segment-to-segment graph to define multiple different 3-D curves relative to the 3-D object; and
selecting, by the computing device, from the multiple different 3-D curves, a final 3-D curve having a topology that includes curve portions that flow behind and in front of the 3-D object.
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Abstract
Various embodiments enable curves to be drawn around 3-D objects by intelligently determining or inferring how the curve flows in the space around the outside of the 3-D object. The various embodiments enable such curves to be drawn without having to constantly rotate the 3-D object. In at least some embodiments, curve flow is inferred by employing a vertex position discovery process, a path discovery process, and a final curve construction process.
28 Citations
20 Claims
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1. In a digital medium environment including a computing device executing a 3-D drawing module to perform an improved method for drawing a 3-D curve relative to a 3-D object, the method comprising:
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receiving, by the computing device, an input defining a 2-D curve that has been drawn relative to the 3-D object; converting, by the computing device, the 2-D curve into a plurality of 2-D points; discovering, by the computing device, candidate 3-D vertices for each of the plurality of 2-D points, the candidate 3-D vertices defining a potential location in a 3-D space for each of the plurality of 2-D points; building, by the computing device, a point-to-point graph having the candidate 3-D vertices; estimating, by the computing device, distances of the candidate 3-D vertices from the 3-D object; processing, by the computing device, the point-to-point graph to define a plurality of vertex segments, each vertex segment of the plurality of vertex segments including a set of the candidate 3-D vertices; constructing, by the computing device, from the estimated distances of the candidate 3-D vertices from the 3-D object and the plurality of vertex segments, a segment-to-segment graph; processing, by the computing device, the segment-to-segment graph to define multiple different 3-D curves relative to the 3-D object; and selecting, by the computing device, from the multiple different 3-D curves, a final 3-D curve having a topology that includes curve portions that flow behind and in front of the 3-D object. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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8. A system implemented in a digital medium environment including a computing device configured to draw a 3-D curve relative to a 3-D object, the system comprising:
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a processing system; and at least one computer readable medium storing instructions executable via the processing system to implement a 3-D drawing module configured to perform operations, comprising; receiving an input defining a 2-D curve that has been drawn relative to the 3-D object; converting the 2-D curve into a plurality of 2-D points; discovering candidate 3-D vertices for each of the plurality of 2-D points, the candidate 3-D vertices defining a potential location in a 3-D space for each of the plurality of 2-D points; building a point-to-point graph having the candidate 3-D vertices; estimating distances of the candidate 3-D vertices from the 3-D object; processing the point-to-point graph to define a plurality of vertex segments, each vertex segment of the plurality of vertex segments including a set of the candidate 3-D vertices; constructing, from the estimated distances of the candidate 3-D vertices from the 3-D object and the plurality of vertex segments, a segment-to-segment graph; processing the segment-to-segment graph to define multiple different 3-D curves relative to the 3-D object; and selecting, from the multiple different 3-D curves, a final 3-D curve having a topology that includes curve portions that flow behind and in front of the 3-D object. - View Dependent Claims (9, 10, 11, 12, 13, 14)
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15. One or more non-transitory computer-readable storage media comprising instructions stored thereon that, responsive to execution by a computing device in a digital medium environment for drawing a 3-D curve relative to a 3-D object, cause operations of the computing device comprising:
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receiving an input defining a 2-D curve that has been drawn relative to the 3-D object; converting the 2-D curve into a plurality of 2-D points; discovering candidate 3-D vertices for each of the plurality of 2-D points, the candidate 3-D vertices defining a potential location in a 3-D space for each of the plurality of 2-D points; building a point-to-point graph having the candidate 3-D vertices; estimating distances of the candidate 3-D vertices from the 3-D object; processing the point-to-point graph to define a plurality of vertex segments, each vertex segment of the plurality of vertex segments including a set of the candidate 3-D vertices; constructing, from the estimated distances of the candidate 3-D vertices from the 3-D object and the plurality of vertex segments, a segment-to-segment graph; processing the segment-to-segment graph to define multiple different 3-D curves relative to the 3-D object; and selecting, from the multiple different 3-D curves, a final 3-D curve having a topology that includes curve portions that flow behind and in front of the 3-D object. - View Dependent Claims (16, 17, 18, 19, 20)
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Specification