High-Quality Shape Design and Surface Representation

表面形状和质量对新产品设计和产业竞争力有着明显的影响。这项研究解决了无形状缺陷地顺利连接多个表面件的根本挑战。该方法将形状设计与曲面表示分离，在提供工业设计周期所需的标准表示的同时，给予设计者更大的自由度。导向曲面只需要服从很少的约束。在第二步中，对每个引导曲面的导数射流进行采样，并将其转换为标准表示中的曲率连续参数曲面。研究了导引曲面的分类，设计了导引曲面的自动构造策略，并形式化地分析了喷嘴采样策略在实际实现中的性质。

Surface shape and quality have a visible impact on new product design and industrial competitiveness. This research addresses the fundamental challenge of smoothly joining multiple surface pieces without shape defects. The new approach separates shape design from surface representation and thereby gives more freedom to the designer while still delivering a standard representation required by industrial design cycles.In the new approach, shape is locally defined by surface fragments, called guide surfaces. Guide surfaces need only obey few constraints. In a second step, the derivative jets of each guide surface are sampled and converted to curvature continuous parametric surfaces in standard representation. The research characterizes classes of guide surfaces, devises strategies for automatic guide surface construction and formalizes and analyzes the properties of jet sampling strategies in practical implementations.