This paper presents a simplification method for scattered point cloud based on the density of the points in k-nearest neighbors as well as a concrete algorithm and the effect of its implementation on triangulation.

Data preprocessing technique of scattered point cloud in reverse engineering;

Simplification of scattered point cloud with geometric feature reservation

The measurement of scattered point cloud data is the foundation of surface reconstruction of a 3D object.

A novel algorithm based on scanning step d for speeding up the process to find the all k nearest neighbors of scattered points was presented.

A new reduction algorithm for scattered points based on local surface feature was proposed.

Dispersed point cloud of the part is preprocessed,section point cloud is got,then curve fitting and model reconstruction are realized,finally error analysis is done between dispersed point cloud and reconstruction model,error de.

Interactive fairing processing for spatial discrete points;

Make Anomalous Triangle Net With Discrete Point;

Evaluation algorithm of curve profile based on discrete points;

A realistic images generating algorithm based on discrete points;

A numerical control manufacturing method is presented based on discrete points of the conjugate surface.

This paper introduces a method that all kind of non-circle gear pitch can be expressed by the uniform formula using subsection cubic spline and only to know the discrete points in the tip of non-circle gear.