A robust surface fitting and reconstruction algorithm for form characterization of ultra-precision freeform surfaces

摘要: Abstract Ultra-precision freeform surfaces are non-rotational symmetric possessing sub-micrometer form accuracy and nanometric surface finish. Although they can be fabricated accurately by ultra-precision machining technology, their quality is difficult to characterized. Surface reconstruction a vital task in the characterization of surfaces. This paper presents robust fitting algorithm reconstruct high fidelity from measured discrete points while smoothness ensured as well. A threshold named confidence interval error proposed strike balance between process. The two steps. In first step, bidirectional sampling method developed extract curve network cloud construct an initial surface. second minimized meet prescribed threshold. series experimental work has been conducted results show that able provide effective means for increasing