A B-spline Surface Stitching Algorithm Based on Point Cloud Data

EasyChair Preprint 1221

Abstract

An algorithm to achieve smooth stitching between curved patches is presented. The algorithm adopts the inverse of the B-spline to find the control vertices of the common boundary of two curved blocks or multiple blocks; and then, the control vertex column vector that satisfies the condition given, which is determined by application of the continuous condition of surface G^1, is applied to substituting the original control vertex. In this algorithm, the smoothness of stitched surface is higher, and smooth stitching can be achieved by modifying one set of control vertices. The conditions for smooth stitching of two surfaces are verified, and the smooth stitching degree of the algorithm under different parameters is also tested.

Keyphrases: B-spline, Bicubic B-spline Surface, geometric continuity, spline surface continuous splicing

@booklet{EasyChair:1221,
  author    = {Xuedong Jing and Yuwei Zhang},
  title     = {A B-spline Surface Stitching Algorithm  Based on Point Cloud Data},
  howpublished = {EasyChair Preprint 1221},
  year      = {EasyChair, 2019}}